C₅×A₄⋊#95 #14510866

order	1920
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂⁴

Aliases

direct product	C₅×A₄⋊#95
unambiguous semidirect product	A₄⋊(C₅×#95)

822 conjugacy classes of subgroups; only the 128 normal subgroups are shown.

normal subgroups only

This group has 822 conjugacy classes of subgroups — too many to draw. Only its 128 normal subgroups are shown.

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

minimal degree	μ(G) = 21
transitive degree	μ_t(G) = 480

A minimal faithful permutation representation — 2 generators on 21 points:

(1,2,3,4,5)(10,11,12,13)(15,17)(18,19,21);(6,7,8,9)(14,15)(16,17)(19,20)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 236564);