Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. C11×#462 | C2 | semidirect |
| 5. #10622794 | C2 | semidirect |
| 6. #10622703 | C2 | semidirect |
| 7. #10622644 | C2 | semidirect |
| 8. #10622462 | C2 | semidirect |
| 11. #10622405 | C2 | semidirect |
| 106. C4×D11 | Q16 | semidirect |
| 122. #462 | D11 | semidirect |
| 219. C11 | #3209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×C4⋊Q8 | 2 |
| #10623109 | 2 |
| C11×#462 | 2 |
| #10622799 | 2 |
| #10622794 | 2 |
| #10622703 | 2 |
| #10622644 | 2 |
| #10622462 | 2 |
| #10622446 | 2 |
| #10622421 | 2 |
| #10622405 | 2 |
| #3209 | 11 |