C₃×C₅×D₃×C₁₃×C₂₃ #41002122

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×D₃×C₁₃×C₂₃
unambiguous semidirect product	C₃⋊(C₂×C₃×C₅×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₃×C₂₃	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₅×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₂₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₅×C₁₃×C₂₃

72 conjugacy classes of subgroups.

μ_t(G) = 8970

13455 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 49);