C₂²×C₃×C₅×C₇×C₁₉⋊C₃ #37561625

order	23940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅×C₇ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₅×C₇×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₅×C₇	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃²×C₅×C₇
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₅×C₇×C₁₉	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂²×C₃×C₅×C₇

240 conjugacy classes of subgroups.

μ_t(G) = 7980

3780 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 757);