C₅×C₇×C₁₇×D₂₃ #41032838

order	27370
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₇×C₁₇×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂×C₅×C₇×C₁₇)

	subgroup	G/H
center, hypercenter	C₅×C₇×C₁₇	D₂₃
commutator, cosocle, hypocenter	C₂₃	C₂×C₅×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₇×C₂₃	C₂
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₅×C₇×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 13685

7735 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27370, 2);