Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
846 conjugacy classes of subgroups; only the 222 normal subgroups are shown.
This group has 846 conjugacy classes of subgroups — too many to draw. Only its 222 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 |
|---|---|---|
| 1. C2×#63467 | C2 | semidirect |
| 2. #10589579 | C2 | semidirect |
| 3. C2×C9×#97 | C2 | semidirect |
| 4. #10588396 | C2 | semidirect |
| 5. #10588393 | C2 | semidirect |
| 33. C2×C8×C9 | D4 | semidirect |
| 74. C2×#97 | D9 | semidirect |
| 143. C2×C8 | D36 | semidirect |
| 158. C9 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63467 | 2 |
| #10589579 | 2 |
| C2×C9×#97 | 2 |
| #10588396 | 2 |
| #10588393 | 2 |
| #78499 | 3 |