Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
348 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 5. C2×C9×C4⋊C4 | C4 | semidirect |
| 7. C2×C42×C9 | C4 | semidirect |
| 10. #63393 | C4 | semidirect |
| 93. C2×C4⋊C4 | Dic9 | semidirect |
| 96. C2×C42 | Dic9 | semidirect |
| 160. C9 | #1393 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#390 | 2 |
| C2×#63393 | 2 |
| #67641 | 3 |