C₁₉×D₈₂₇ #44537568

order	31426
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₈₂₇
unambiguous semidirect product	C₈₂₇⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₈₂₇ ⋊ C₂
derived, Sylow	C₈₂₇ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₈₂₇
commutator, cosocle, hypocenter	C₈₂₇	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₈₂₇	C₂
LCS	G ▷ C₈₂₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 15713

7885 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31426, 2);