Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 101 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. C43×C11 | C2 | semidirect |
| 3. C2×#66869 | C2 | semidirect |
| 4. #10622537 | C2 | semidirect |
| 11. #66928 | C4 | semidirect |
| 12. #66927 | C4 | semidirect |
| 14. #66922 | C4 | semidirect |
| 32. C42×C11 | D4 | semidirect |
| 60. C43 | D11 | semidirect |
| 68. C4×C11 | #104 | semidirect |
| 108. C42 | D44 | semidirect |
| 109. C11 | #1962 | semidirect |
| 137. C4 | #66869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623008 | 2 |
| C43×C11 | 2 |
| C2×#66869 | 2 |
| #10622537 | 2 |
| #1962 | 11 |