C₁₇×D₇₀₁ #37558596

order	23834
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₇₀₁
unambiguous semidirect product	C₇₀₁⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₇₀₁ ⋊ C₂
derived, Sylow	C₇₀₁ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₇₀₁
commutator, cosocle, hypocenter	C₇₀₁	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₇₀₁	C₂
LCS	G ▷ C₇₀₁
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 11917

5984 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23834, 2);