C₉₇×C₇⋊D₇ #23748856

order	9506
isoclinism	isoclinic class of C₇⋊D₇
automorphism	?
homology	Abelianization (H₁) = C₂×C₉₇ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₉₇×C₇⋊D₇
unambiguous semidirect product	C₇⋊(D₇×C₉₇)

Fitting, socle, Hall	C₇²×C₉₇ ⋊ C₂
derived, Sylow	C₇² ⋊ C₂×C₉₇

	subgroup	G/H
center, hypercenter	C₉₇	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₉₇
Frattini	C₁	G
Fitting, socle	C₇²×C₉₇	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₉₇

40 conjugacy classes of subgroups.

2522 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9506, 9);