Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
172 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 61 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. #10622295 | C2 | semidirect |
| 4. #10622124 | C2 | semidirect |
| 5. #10622096 | C2 | semidirect |
| 46. C8×C11 | SD16 | semidirect |
| 93. C11 | #1673 | semidirect |
| 109. C8 | #4324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×D4×C11 | 2 |
| #10622632 | 2 |
| #10622295 | 2 |
| #10622124 | 2 |
| #10622096 | 2 |
| #1673 | 11 |