Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
316 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 81 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. C11×#432 | C2 | semidirect |
| 3. C4×#4318 | C2 | semidirect |
| 4. #10622121 | C2 | semidirect |
| 15. C11×C4⋊C8 | C22 | semidirect |
| 19. C4×C11⋊C8 | C22 | semidirect |
| 61. D44 | M16 | semidirect |
| 67. #432 | D11 | semidirect |
| 95. C4⋊C8 | C2×D11 | semidirect |
| 127. C11 | #1490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D44 | 2 |
| C11×#432 | 2 |
| C4×#4318 | 2 |
| #10622121 | 2 |
| #1490 | 11 |