Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
140 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×#66893 | C2 | semidirect |
| 5. #10622203 | C2 | semidirect |
| 6. #10622134 | C2 | semidirect |
| 7. #10622131 | C2 | semidirect |
| 112. C11 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#473 | 2 |
| C2×#66893 | 2 |
| #10622756 | 2 |
| #10622753 | 2 |
| #10622203 | 2 |
| #10622134 | 2 |
| #10622131 | 2 |
| #2222 | 11 |