C₂×C₁₇×D₉×C₅₉ #49115646

order	36108
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₅₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₇×D₉×C₅₉
unambiguous semidirect product	C₉⋊(C₂²×C₁₇×C₅₉)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₁₇×C₅₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₇×C₅₉	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₁₇×C₅₉
Frattini	C₃	C₂×D₃×C₁₇×C₅₉
Fitting	C₂×C₉×C₁₇×C₅₉	C₂
socle	C₂×C₃×C₁₇×C₅₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₁₇×C₅₉

60 conjugacy classes of subgroups.

μ_t(G) = 18054

12036 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36108, 25);