C₁₇×D₁₀₈₇ #49149307

order	36958
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₁₀₈₇
unambiguous semidirect product	C₁₀₈₇⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₁₀₈₇ ⋊ C₂
derived, Sylow	C₁₀₈₇ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₁₀₈₇
commutator, cosocle, hypocenter	C₁₀₈₇	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₀₈₇	C₂
LCS	G ▷ C₁₀₈₇
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 18479

9265 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36958, 2);