C₃×C₅×D₃×C₇×C₄₁ #38788977

order	25830
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₇×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×D₃×C₇×C₄₁
unambiguous semidirect product	C₃⋊(C₂×C₃×C₅×C₇×C₄₁)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₇×C₄₁	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₅×C₇×C₄₁
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₄₁	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₅×C₇×C₄₁

72 conjugacy classes of subgroups.

μ_t(G) = 8610

12915 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25830, 81);