C₂²×C₄²×C₃⋊D₃ #11899790

order	1152
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₃×C₄

Aliases

C₂²×C₄²×C₃⋊D₃

Fitting	C₂²×C₃²×C₄² ⋊ C₂
derived, Sylow	C₃² ⋊ C₂³×C₄²

9000 conjugacy classes of subgroups; only the 2745 normal subgroups are shown.

normal subgroups only

This group has 9000 conjugacy classes of subgroups — too many to draw. Only its 2745 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 133801);