Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1146 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 1146 conjugacy classes of subgroups — too many to draw. Only its 152 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. #10593826 | C2 | semidirect |
| 3. #10593737 | C2 | semidirect |
| 7. C32×#127 | C4 | semidirect |
| 8. #64149 | C4 | semidirect |
| 9. #64083 | C4 | semidirect |
| 16. C2×C32×D4 | C2×C4 | semidirect |
| 17. C2×#638 | C2×C4 | semidirect |
| 20. C2×C4⋊(C3⋊D3) | C2×C4 | semidirect |
| 23. C32×C42 | C2×C4 | semidirect |
| 24. C4×C3⋊Dic3 | C2×C4 | semidirect |
| 69. #127 | #157 | semidirect |
| 93. C2×D4 | C2×#157 | semidirect |
| 99. C42 | C2×#157 | semidirect |
| 108. C32 | #2380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×#127 | 2 |
| #10593826 | 2 |
| #10593737 | 2 |
| #2380 | 9 |