C₂×C₉×#638 #13048940

order	1296
isoclinism	isoclinic class of #634
automorphism	?
homology	Abelianization (H₁) = C₂³×C₉ · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₂³×C₃²×C₉ ⋊ C₂
Sylow	C₃²×C₉ ⋊ C₂×D₄

742 conjugacy classes of subgroups; only the 177 normal subgroups are shown.

normal subgroups only

This group has 742 conjugacy classes of subgroups — too many to draw. Only its 177 normal subgroups are shown.

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

μ_t(G) = 216

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

maximal subgroup of	C₂×D₄×C₉×C₃⋊D₃, C₂×D₉×#638, C₂×#13048710
maximal normal subgroup of	C₂×D₄×C₉×C₃⋊D₃, C₂×D₉×#638, C₂×#13048710

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 2658);