Galaxies are not limited to simple spheroid or bulge + disc morphologies . We explore the diversity of internal galaxy structures in the Coma cluster across a wide range of luminosities ( -17 > M _ { g } > -22 ) and cluster-centric radii ( 0 < r _ { cluster } < 1.3 r _ { 200 } ) through analysis of deep Canada-France-Hawaii Telescope i band imaging . We present 2D multi-component decomposition via GALFIT , encompassing a wide range of candidate model morphologies with up to three photometric components . Particular focus is placed on early-type galaxies with outer discs ( i.e . S0s ) , and deviations from simple ( ‘ unbroken ’ ) exponential discs . Rigorous filtering ensures that each model component provides a statistically significant improvement to the goodness-of-fit . The majority of Coma cluster members in our sample ( 478 of 631 ) are reliably fitted by symmetric structural models . Of these , 134 ( 28 \% ) are single Sérsic objects , 143 ( 30 \% ) are well-described by 2 component structures , while 201 ( 42 \% ) require more complex models . Multi-component Sérsic galaxies resemble compact psuedobulges ( n \sim 2 , R _ { e } \sim 4 kpc ) surrounded by extended Gaussian-like outer structures ( R _ { e } > 10 kpc ) . 11 % of galaxies ( N = 52 ) feature a break in their outer profiles , indicating ‘ truncated ’ or ‘ anti-truncated ’ discs . Beyond the break radius , truncated galaxies are structurally consistent with exponential discs , disfavouring physical truncation as their formation mechanism . Bulge luminosity in anti-truncated galaxies correlates strongly with galaxy luminosity , indicating a bulge-enhancing origin for these systems . Both types of broken disc are found overwhelmingly ( > 70 \% ) in ‘ barred ’ galaxies , despite a low measured bar fraction for Coma ( 20 \pm 2 \% ) . Thus , galaxy bars play an important role in formation of broken disc structures . No strong variation in galaxy structure is detected with projected cluster-centric radius .