C₅×C₁₉×C₂²⋊(C₇⋊C₉) #37561035

order	23940
automorphism	?
homology	Abelianization (H₁) = C₅×C₉×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×C₁₉×C₂²⋊(C₇⋊C₉)
unambiguous semidirect product	C₂²⋊(C₅×C₁₉×C₇⋊C₉)
unambiguous semidirect product	C₇⋊(C₅×C₁₉×C₂²⋊C₉)
unambiguous semidirect product	(C₂²×C₅)⋊(C₁₉×C₇⋊C₉)
unambiguous semidirect product	(C₅×C₇)⋊(C₁₉×C₂²⋊C₉)

64 conjugacy classes of subgroups.

μ_t(G) = 11970

3420 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 167);