A₄×C₁₇×C₁₂₁ #37590575

order	24684
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₇×C₁₂₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	A₄×C₁₇×C₁₂₁
unambiguous semidirect product	C₂²⋊(C₃×C₁₇×C₁₂₁)
unambiguous semidirect product	(C₂²×C₁₇)⋊(C₃×C₁₂₁)
unambiguous semidirect product	(C₂²×C₁₂₁)⋊(C₃×C₁₇)
unambiguous semidirect product	(C₂²×C₁₇×C₁₂₁)⋊C₃

30 conjugacy classes of subgroups.

μ_t(G) = 8228

8228 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24684, 21);