C₅×D₁₃×C₆₁⋊C₃ #37558192

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

Aliases

C₅×D₁₃×C₆₁⋊C₃

	subgroup	G/H
center, hypercenter	C₅	D₁₃×C₆₁⋊C₃
commutator, cosocle, hypocenter	C₁₃×C₆₁	C₂×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₅×C₁₃×C₆₁	C₂×C₃
LCS	G ▷ C₁₃×C₆₁
UCS	C₁ ◁ C₅

32 conjugacy classes of subgroups.

μ_t(G) = 3965

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23790, 37);