C₅×C₁₃×D₁₈₃ #37558174

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

Aliases

direct product	C₅×C₁₃×D₁₈₃
unambiguous semidirect product	C₃⋊(C₅×C₁₃×D₆₁)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₁₈₃
commutator, cosocle, hypocenter	C₃×C₆₁	C₂×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₆₁	C₂
LCS	G ▷ C₃×C₆₁
UCS	C₁ ◁ C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 11895

6045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23790, 19);