Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
438 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 2. C2×C9×#104 | C2 | semidirect |
| 3. #10588912 | C2 | semidirect |
| 4. #10588811 | C2 | semidirect |
| 5. C2×#63381 | C2 | semidirect |
| 6. C2×#63364 | C2 | semidirect |
| 7. C2×#63362 | C2 | semidirect |
| 15. C2×#3675 | C4 | semidirect |
| 16. C2×#3674 | C4 | semidirect |
| 17. C2×#3673 | C4 | semidirect |
| 18. C2×#3672 | C4 | semidirect |
| 129. C2×#104 | D9 | semidirect |
| 296. C9 | #1975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63513 | 2 |
| C2×C9×#104 | 2 |
| #10588912 | 2 |
| #10588811 | 2 |
| C2×#63381 | 2 |
| C2×#63364 | 2 |
| C2×#63362 | 2 |
| #70374 | 3 |