C₇×C₄₁×D₄₅ #38788912

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

Aliases

direct product	C₇×C₄₁×D₄₅
unambiguous semidirect product	C₅⋊(C₇×D₉×C₄₁)
unambiguous semidirect product	C₉⋊(C₇×D₅×C₄₁)

	subgroup	G/H
center, hypercenter	C₇×C₄₁	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₇×C₄₁
Frattini	C₃	C₇×D₁₅×C₄₁
Fitting	C₅×C₇×C₉×C₄₁	C₂
socle	C₃×C₅×C₇×C₄₁	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₇×C₄₁

48 conjugacy classes of subgroups.

μ_t(G) = 12915

6888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25830, 16);