C₂²×C₁₉×C₉₇⋊C₃ #36348917

order	22116
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₉×C₉₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₉	C₉₇⋊C₃
commutator, cosocle, hypocenter	C₉₇	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₁₉×C₉₇	C₃
LCS	G ▷ C₉₇
UCS	C₁ ◁ C₂²×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 7372

2660 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22116, 66);