C₂²×C₃×#874 #11900698

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₃ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂²×C₃×#874

Fitting	C₂²×C₃²×C₄² ⋊ C₂
Sylow	C₃² ⋊ C₂²×#127

6249 conjugacy classes of subgroups; only the 1610 normal subgroups are shown.

normal subgroups only

This group has 6249 conjugacy classes of subgroups — too many to draw. Only its 1610 normal subgroups are shown.

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

μ_t(G) = 384

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 134709);