C₃×C₁₃×D₇×D₂₃ #38737406

order	25116
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×C₁₃×D₇×D₂₃

	subgroup	G/H
center, hypercenter	C₃×C₁₃	D₇×D₂₃
commutator, cosocle, hypocenter	C₇×C₂₃	C₂²×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₂₃	C₂²
LCS	G ▷ C₇×C₂₃
UCS	C₁ ◁ C₃×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 6279

2535 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25116, 125);