C₇⋊D₇×C₃₃₇ #45682806

order	33026
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₃₇ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₇⋊D₇×C₃₃₇
unambiguous semidirect product	C₇⋊(D₇×C₃₃₇)

Fitting, socle, Hall	C₇²×C₃₃₇ ⋊ C₂
derived, Sylow	C₇² ⋊ C₂×C₃₃₇

	subgroup	G/H
center, hypercenter	C₃₃₇	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₃₃₇
Frattini	C₁	G
Fitting, socle	C₇²×C₃₃₇	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₃₃₇

40 conjugacy classes of subgroups.

μ_t(G) = 16513

8762 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33026, 15);