C₂×C₅×D₉×C₁₇₃ #44528143

order	31140
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₇₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅×D₉×C₁₇₃
unambiguous semidirect product	C₉⋊(C₂²×C₅×C₁₇₃)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₅×C₁₇₃)

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₇₃	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₅×C₁₇₃
Frattini	C₃	C₂×C₅×D₃×C₁₇₃
Fitting	C₂×C₅×C₉×C₁₇₃	C₂
socle	C₂×C₃×C₅×C₁₇₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₅×C₁₇₃

60 conjugacy classes of subgroups.

μ_t(G) = 15570

10380 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31140, 33);