C₁₉×D₈₂₉ #44538470

order	31502
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₈₂₉
unambiguous semidirect product	C₈₂₉⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₈₂₉ ⋊ C₂
derived, Sylow	C₈₂₉ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₈₂₉
commutator, cosocle, hypocenter	C₈₂₉	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₈₂₉	C₂
LCS	G ▷ C₈₂₉
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 15751

7904 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31502, 2);