C₁₇×D₁₀₉₃ #49151102

order	37162
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₁₀₉₃
unambiguous semidirect product	C₁₀₉₃⋊(C₂×C₁₇)

Fitting, socle, Hall	C₁₇×C₁₀₉₃ ⋊ C₂
derived, Sylow	C₁₀₉₃ ⋊ C₂×C₁₇

	subgroup	G/H
center, hypercenter	C₁₇	D₁₀₉₃
commutator, cosocle, hypocenter	C₁₀₉₃	C₂×C₁₇
Frattini	C₁	G
Fitting, socle	C₁₇×C₁₀₉₃	C₂
LCS	G ▷ C₁₀₉₃
UCS	C₁ ◁ C₁₇

8 conjugacy classes of subgroups.

μ_t(G) = 18581

9316 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37162, 2);