C₂×C₇²×C₁₃×D₉ #37524618

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇²×C₁₃ · Schur multiplier (H₂) = C₂×C₇

Aliases

direct product	C₂×C₇²×C₁₃×D₉
unambiguous semidirect product	C₉⋊(C₂²×C₇²×C₁₃)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₇²×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₇²×C₁₃	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₇²×C₁₃
Frattini	C₃	C₂×D₃×C₇²×C₁₃
Fitting	C₂×C₇²×C₉×C₁₃	C₂
socle	C₂×C₃×C₇²×C₁₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₇²×C₁₃

300 conjugacy classes of subgroups.

μ_t(G) = 11466

7644 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 563);