C₃²×C₅×C₁₃×D₂₃ #41002115

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₅×C₁₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₅×C₁₃×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂×C₃²×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₃²×C₅×C₁₃	D₂₃
commutator, cosocle, hypocenter	C₂₃	C₂×C₃²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₂₃	C₂
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₃²×C₅×C₁₃

96 conjugacy classes of subgroups.

μ_t(G) = 13455

7605 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 42);