Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2208 conjugacy classes of subgroups; only the 553 normal subgroups are shown.
This group has 2208 conjugacy classes of subgroups — too many to draw. Only its 553 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#63658 | C2 | semidirect |
| 9. C2×C32×C22⋊C4 | C4 | semidirect |
| 41. C2×C3×C22⋊C4 | Dic3 | semidirect |
| 120. C2×C22⋊C4 | C3⋊Dic3 | semidirect |
| 194. C32 | #1440 | semidirect |
| 247. C3 | #71548 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C32×C22⋊C4 | 2 |
| C22×#3757 | 2 |
| C2×#63658 | 2 |
| #71548 | 3 |