C₁₇×C₂₅×C₂²⋊C₉ #29505643

order	15300
isoclinism	isoclinic class of A₄
automorphism	?
homology	Abelianization (H₁) = C₉×C₁₇×C₂₅ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₁₇×C₂₅×C₂²⋊C₉
unambiguous semidirect product	C₂²⋊(C₉×C₁₇×C₂₅)
unambiguous semidirect product	(C₂²×C₁₇)⋊(C₉×C₂₅)
unambiguous semidirect product	(C₂²×C₂₅)⋊(C₉×C₁₇)
unambiguous semidirect product	(C₂²×C₁₇×C₂₅)⋊C₉

48 conjugacy classes of subgroups.

μ_t(G) = 7650

5100 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15300, 29);