C₇⋊D₇×C₃₃₁ #44570048

order	32438
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₃₁ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₇⋊D₇×C₃₃₁
unambiguous semidirect product	C₇⋊(D₇×C₃₃₁)

Fitting, socle, Hall	C₇²×C₃₃₁ ⋊ C₂
derived, Sylow	C₇² ⋊ C₂×C₃₃₁

	subgroup	G/H
center, hypercenter	C₃₃₁	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₃₃₁
Frattini	C₁	G
Fitting, socle	C₇²×C₃₃₁	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₃₃₁

40 conjugacy classes of subgroups.

μ_t(G) = 16219

8606 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32438, 9);