Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C9⋊A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C34 · Schur multiplier (H2) = C2×C35 |
| direct product | C2×C32×C9⋊A4 |
| Fitting | C23×C32×C9 ⋊ C3 |
| Sylow | C23 ⋊ C32×3−1+2 |
1352 conjugacy classes of subgroups; only the 568 normal subgroups are shown.
This group has 1352 conjugacy classes of subgroups — too many to draw. Only its 568 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 486 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3732);