Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
496 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. C22×D88 | C2 | semidirect |
| 2. C2×#66948 | C2 | semidirect |
| 3. C2×(C2×D11)⋊C8 | C2 | semidirect |
| 4. C2×#66873 | C2 | semidirect |
| 5. C11×#340 | C2 | semidirect |
| 32. C2×D44 | D4 | semidirect |
| 38. C2×C8×C11 | D4 | semidirect |
| 40. C11×C4⋊C4 | D4 | semidirect |
| 58. C22×D11 | D8 | semidirect |
| 82. #340 | D11 | semidirect |
| 147. C2×C8 | D44 | semidirect |
| 149. C4⋊C4 | D44 | semidirect |
| 151. C11 | #1999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D88 | 2 |
| C2×#66948 | 2 |
| C2×(C2×D11)⋊C8 | 2 |
| C2×#66873 | 2 |
| C11×#340 | 2 |
| #1999 | 11 |