C₇⋊D₇×C₃₁₃ #44501560

order	30674
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₁₃ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₇⋊D₇×C₃₁₃
unambiguous semidirect product	C₇⋊(D₇×C₃₁₃)

Fitting, socle, Hall	C₇²×C₃₁₃ ⋊ C₂
derived, Sylow	C₇² ⋊ C₂×C₃₁₃

	subgroup	G/H
center, hypercenter	C₃₁₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₃₁₃
Frattini	C₁	G
Fitting, socle	C₇²×C₃₁₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₃₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 15337

8138 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30674, 9);