C₂²×C₂₉×C₉₇⋊C₃ #46798232

order	33756
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₂₉×C₉₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₂₉	C₉₇⋊C₃
commutator, cosocle, hypocenter	C₉₇	C₂²×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂²×C₂₉×C₉₇	C₃
LCS	G ▷ C₉₇
UCS	C₁ ◁ C₂²×C₂₉

40 conjugacy classes of subgroups.

μ_t(G) = 11252

4060 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33756, 45);