Q₈×C₉×C₃⋊D₃ #13048925

order	1296
automorphism	?
homology	Abelianization (H₁) = C₂³×C₉ · Schur multiplier (H₂) = C₂²×C₃

Aliases

Q₈×C₉×C₃⋊D₃

Fitting	C₃²×Q₈×C₉ ⋊ C₂
Sylow	C₃²×C₉ ⋊ C₂×Q₈

438 conjugacy classes of subgroups; only the 147 normal subgroups are shown.

normal subgroups only

This group has 438 conjugacy classes of subgroups — too many to draw. Only its 147 normal subgroups are shown.

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

μ_t(G) = 432

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 2643);