C₂²×C₄²×D₉ #11899789

order	1152
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂²×C₄²×D₉

Fitting	C₂²×C₄²×C₉ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂³×C₄²

4500 conjugacy classes of subgroups; only the 1998 normal subgroups are shown.

normal subgroups only

This group has 4500 conjugacy classes of subgroups — too many to draw. Only its 1998 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.

maximal subgroup of	C₂²×D₉×#127, D₉×#1437
maximal normal subgroup of	C₂²×D₉×#127, D₉×#1437

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 133800);