C₁₉×D₆₁₇ #37552949

order	23446
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₆₁₇
unambiguous semidirect product	C₆₁₇⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₆₁₇ ⋊ C₂
derived, Sylow	C₆₁₇ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₆₁₇
commutator, cosocle, hypocenter	C₆₁₇	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₆₁₇	C₂
LCS	G ▷ C₆₁₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 11723

5890 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23446, 2);