D₅×C₁₃⋊C₃×C₆₁ #37558201

order	23790
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₁₃⋊C₃×C₆₁
unambiguous semidirect product	C₅⋊(C₂×C₁₃⋊C₃×C₆₁)
unambiguous semidirect product	(D₅×C₁₃)⋊(C₃×C₆₁)

	subgroup	G/H
center, hypercenter	C₆₁	D₅×C₁₃⋊C₃
commutator, cosocle, hypocenter	C₅×C₁₃	C₂×C₃×C₆₁
Frattini	C₁	G
Fitting, socle	C₅×C₁₃×C₆₁	C₂×C₃
LCS	G ▷ C₅×C₁₃
UCS	C₁ ◁ C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 3965

1708 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23790, 46);