C₂×D₇×C₂₃×C₄₁ #40996003

order	26404
automorphism	?
homology	Abelianization (H₁) = C₂²×C₂₃×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇×C₂₃×C₄₁
unambiguous semidirect product	C₇⋊(C₂²×C₂₃×C₄₁)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₂₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₂×C₂₃×C₄₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₂₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₂₃×C₄₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₂₃×C₄₁

40 conjugacy classes of subgroups.

μ_t(G) = 13202

9430 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26404, 24);