C₂×C₅×C₁₃×C₆₁⋊C₃ #37558158

order	23790
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₅×C₁₃×C₆₁⋊C₃
unambiguous semidirect product	(C₂×C₅×C₆₁)⋊(C₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₃	C₆₁⋊C₃
commutator, cosocle, hypocenter	C₆₁	C₂×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₃×C₆₁	C₃
LCS	G ▷ C₆₁
UCS	C₁ ◁ C₂×C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 7930

2990 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23790, 3);