C₂×D₇×C₂₃×C₁₃⋊C₃ #38737401

order	25116
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×D₇×C₂₃×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂×C₂₃	D₇×C₁₃⋊C₃
commutator, cosocle, hypocenter	C₇×C₁₃	C₂²×C₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₂₃	C₂×C₃
LCS	G ▷ C₇×C₁₃
UCS	C₁ ◁ C₂×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 4186

1610 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25116, 120);