C₁₉×D₈₂₁ #44530069

order	31198
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₈₂₁
unambiguous semidirect product	C₈₂₁⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₈₂₁ ⋊ C₂
derived, Sylow	C₈₂₁ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₈₂₁
commutator, cosocle, hypocenter	C₈₂₁	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₈₂₁	C₂
LCS	G ▷ C₈₂₁
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 15599

7828 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31198, 2);