C₃×D₅×C₁₃×C₆₁ #37558169

order	23790
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 11895

9516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23790, 14);