C₁₇×D₉×C₁₀₇ #45658656

order	32742
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₁₀₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₉×C₁₀₇
unambiguous semidirect product	C₉⋊(C₂×C₁₇×C₁₀₇)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₀₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₇×C₁₀₇
Frattini	C₃	D₃×C₁₇×C₁₀₇
Fitting	C₉×C₁₇×C₁₀₇	C₂
socle	C₃×C₁₇×C₁₀₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₇×C₁₀₇

24 conjugacy classes of subgroups.

μ_t(G) = 16371

10914 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32742, 5);