C₂×C₃×C₄×C₃⋊C₁₆ #11795807

order	1152
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄×C₁₆ · Schur multiplier (H₂) = C₂²×C₄

Aliases

C₂×C₃×C₄×C₃⋊C₁₆

derived	C₃ ⋊ C₂×C₃×C₄×C₁₆
Sylow	C₃² ⋊ C₂×C₄×C₁₆

513 conjugacy classes of subgroups.

μ_t(G) = 384

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 29818);