C₂×C₁₈₇₇⋊C₇ #39911364

order	26278
automorphism	?
homology	Abelianization (H₁) = C₂×C₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₈₇₇⋊C₇
unambiguous semidirect product	(C₂×C₁₈₇₇)⋊C₇

Fitting, socle, Hall	C₂×C₁₈₇₇ ⋊ C₇
derived, Sylow	C₁₈₇₇ ⋊ C₂×C₇

	subgroup	G/H
center, hypercenter	C₂	C₁₈₇₇⋊C₇
commutator, cosocle, hypocenter	C₁₈₇₇	C₂×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₁₈₇₇	C₇
LCS	G ▷ C₁₈₇₇
UCS	C₁ ◁ C₂

8 conjugacy classes of subgroups.

μ_t(G) = 3754

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26278, 2);