C₂×C₃²×C₅×D₁₃₃ #37561631

order	23940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₅×D₁₃₃

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂²×C₃²×C₅
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅×C₇×C₁₉	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₂×C₃²×C₅

240 conjugacy classes of subgroups.

μ_t(G) = 11970

6120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 763);