Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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×#500 | C2 | semidirect |
| 3. #10622693 | C2 | semidirect |
| 7. #10622491 | C2 | semidirect |
| 8. #10622489 | C2 | semidirect |
| 9. #10622487 | C2 | semidirect |
| 11. #10622296 | C2 | semidirect |
| 66. #4313 | Q8 | semidirect |
| 67. C8×D11 | Q8 | semidirect |
| 93. #500 | D11 | semidirect |
| 175. C11 | #3164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623260 | 2 |
| C11×#500 | 2 |
| #10622693 | 2 |
| #10622494 | 2 |
| #10622493 | 2 |
| D11×#107 | 2 |
| #10622491 | 2 |
| #10622489 | 2 |
| #10622487 | 2 |
| #10622302 | 2 |
| #10622296 | 2 |
| #3164 | 11 |