C₅×#67557 #14277772

order	1920
isoclinism	isoclinic class of #4451
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₈ · Schur multiplier (H₂) = C₂

Aliases

200 conjugacy classes of subgroups; only the 82 normal subgroups are shown.

normal subgroups only

This group has 200 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

minimal degree	μ(G) = 32
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 2 generators on 32 points:

(1,2,3,4,5)(7,8)(10,13)(11,16)(14,15)(18,22)(19,25)(24,29)(26,31);(6,7,8)(9,10)(11,13)(12,15)(14,16)(17,18,19,23,21,24,26,30,20,22,25,28,27,29,31,32)

390 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 3470);