Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
637 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 637 conjugacy classes of subgroups — too many to draw. Only its 148 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. #10589170 | C2 | semidirect |
| 5. #10589169 | C2 | semidirect |
| 268. C32 | #1829 | semidirect |
| 313. C3 | #70067 | semidirect |
| 314. C3 | #71648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#5798 | 2 |
| C2×#63660 | 2 |
| C2×C3×#833 | 2 |
| #10589170 | 2 |
| #10589169 | 2 |
| #71648 | 3 |
| #70067 | 3 |