C₇⋊D₇×C₂₆₃ #38788569

order	25774
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₆₃ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₇⋊D₇×C₂₆₃
unambiguous semidirect product	C₇⋊(D₇×C₂₆₃)

Fitting, socle, Hall	C₇²×C₂₆₃ ⋊ C₂
derived, Sylow	C₇² ⋊ C₂×C₂₆₃

	subgroup	G/H
center, hypercenter	C₂₆₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₂₆₃
Frattini	C₁	G
Fitting, socle	C₇²×C₂₆₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂₆₃

40 conjugacy classes of subgroups.

μ_t(G) = 12887

6838 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25774, 9);