C₇×D₂₀₆₉ #44394255

order	28966
automorphism	?
homology	Abelianization (H₁) = C₂×C₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×D₂₀₆₉
unambiguous semidirect product	C₂₀₆₉⋊(C₂×C₇)

Fitting, socle, Hall	C₇×C₂₀₆₉ ⋊ C₂
derived, Sylow	C₂₀₆₉ ⋊ C₂×C₇

	subgroup	G/H
center, hypercenter	C₇	D₂₀₆₉
commutator, cosocle, hypocenter	C₂₀₆₉	C₂×C₇
Frattini	C₁	G
Fitting, socle	C₇×C₂₀₆₉	C₂
LCS	G ▷ C₂₀₆₉
UCS	C₁ ◁ C₇

8 conjugacy classes of subgroups.

μ_t(G) = 14483

7252 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28966, 2);