C₁₇×C₂₅×C₁₉⋊C₃ #37564478

order	24225
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₇×C₂₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₂₅×C₁₉⋊C₃
unambiguous semidirect product	C₁₉⋊(C₃×C₁₇×C₂₅)
unambiguous semidirect product	(C₁₇×C₁₉)⋊(C₃×C₂₅)
unambiguous semidirect product	(C₁₉×C₂₅)⋊(C₃×C₁₇)
unambiguous semidirect product	(C₁₇×C₁₉×C₂₅)⋊C₃

24 conjugacy classes of subgroups.

μ_t(G) = 8075

3825 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24225, 2);