C₃²×D₇×C₄₁⋊C₅ #38788944

order	25830
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₅ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×D₇×C₄₁⋊C₅
unambiguous semidirect product	(C₃²×D₇×C₄₁)⋊C₅

	subgroup	G/H
center, hypercenter	C₃²	D₇×C₄₁⋊C₅
commutator, cosocle, hypocenter	C₇×C₄₁	C₂×C₃²×C₅
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₄₁	C₂×C₅
LCS	G ▷ C₇×C₄₁
UCS	C₁ ◁ C₃²

96 conjugacy classes of subgroups.

μ_t(G) = 2583

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25830, 48);