Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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. #10622705 | C2 | semidirect |
| 5. #10622185 | C2 | semidirect |
| 6. #10622124 | C2 | semidirect |
| 7. #10622117 | C2 | semidirect |
| 47. D4×C11 | Q16 | semidirect |
| 120. C11 | #1669 | semidirect |
| 127. D4 | #4326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#474 | 2 |
| #10622705 | 2 |
| D4×C11⋊C8 | 2 |
| #10622620 | 2 |
| #10622185 | 2 |
| #10622124 | 2 |
| #10622117 | 2 |
| #1669 | 11 |