Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
537 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 537 conjugacy classes of subgroups — too many to draw. Only its 154 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 |
|---|---|---|
| 4. #10588513 | C2 | semidirect |
| 5. #10588511 | C2 | semidirect |
| 8. #10588384 | C2 | semidirect |
| 9. C4×Dic36 | C2 | semidirect |
| 250. C9 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589620 | 2 |
| #10589618 | 2 |
| C9×#433 | 2 |
| #10588513 | 2 |
| #10588511 | 2 |
| #10588405 | 2 |
| #10588403 | 2 |
| #10588384 | 2 |
| C4×Dic36 | 2 |
| #79396 | 3 |