C₂₉×C₁₂₇⋊C₇ #38788599

order	25781
automorphism	?
homology	Abelianization (H₁) = C₇×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×C₁₂₇⋊C₇
unambiguous semidirect product	C₁₂₇⋊(C₇×C₂₉)

Fitting, socle, Hall	C₂₉×C₁₂₇ ⋊ C₇
derived, Sylow	C₁₂₇ ⋊ C₇×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	C₁₂₇⋊C₇
commutator, cosocle, hypocenter	C₁₂₇	C₇×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₉×C₁₂₇	C₇
LCS	G ▷ C₁₂₇
UCS	C₁ ◁ C₂₉

8 conjugacy classes of subgroups.

μ_t(G) = 3683

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25781, 2);