C₃×C₅×C₂₃×C₇⋊D₇ #46798969

order	33810
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₂₃ · Schur multiplier (H₂) = C₇

Aliases

C₃×C₅×C₂₃×C₇⋊D₇

	subgroup	G/H
center, hypercenter	C₃×C₅×C₂₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₃×C₅×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇²×C₂₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₃×C₅×C₂₃

160 conjugacy classes of subgroups.

μ_t(G) = 16905

8970 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33810, 73);