C₁₉×D₉₀₇ #46828075

order	34466
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₉₀₇
unambiguous semidirect product	C₉₀₇⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₉₀₇ ⋊ C₂
derived, Sylow	C₉₀₇ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₉₀₇
commutator, cosocle, hypocenter	C₉₀₇	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₉₀₇	C₂
LCS	G ▷ C₉₀₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 17233

8645 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34466, 2);