Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 1. C2×C11×D16 | C2 | semidirect |
| 2. #10622773 | C2 | semidirect |
| 3. #10622514 | C2 | semidirect |
| 4. #10622201 | C2 | semidirect |
| 5. #10622144 | C2 | semidirect |
| 44. C2×D16 | D11 | semidirect |
| 85. C11 | #2221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×D16 | 2 |
| #10622773 | 2 |
| #10622514 | 2 |
| #10622201 | 2 |
| #10622144 | 2 |
| #2221 | 11 |