Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. #10622625 | C2 | semidirect |
| 3. #10622447 | C2 | semidirect |
| 4. C11×D4⋊C8 | C2 | semidirect |
| 5. #10622117 | C2 | semidirect |
| 6. #10622097 | C2 | semidirect |
| 7. #10622092 | C2 | semidirect |
| 55. D44 | M16 | semidirect |
| 64. C11⋊C8 | D8 | semidirect |
| 70. D4⋊C8 | D11 | semidirect |
| 125. C11 | #1581 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4323 | 2 |
| #10622625 | 2 |
| #10622447 | 2 |
| C11×D4⋊C8 | 2 |
| #10622117 | 2 |
| #10622097 | 2 |
| #10622092 | 2 |
| #1581 | 11 |