Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
770 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 191 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 |
|---|---|---|
| 3. #10593396 | C2 | semidirect |
| 4. #10593394 | C2 | semidirect |
| 5. #10593389 | C2 | semidirect |
| 7. #64289 | C4 | semidirect |
| 27. #3788 | C2×C4 | semidirect |
| 28. #3787 | C2×C4 | semidirect |
| 136. C32 | #2913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64289 | 2 |
| #10595353 | 2 |
| #10593396 | 2 |
| #10593394 | 2 |
| #10593389 | 2 |
| #2913 | 9 |