Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
166 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 69 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. #10622292 | C2 | semidirect |
| 4. C82×C11 | C2 | semidirect |
| 6. #10622095 | C2 | semidirect |
| 7. #10622094 | C2 | semidirect |
| 58. C8×C11 | M16 | semidirect |
| 59. C8×C11 | SD16 | semidirect |
| 68. C82 | D11 | semidirect |
| 118. C11 | #1590 | semidirect |
| 137. C8 | #4313 | semidirect |
| 138. C8 | #4314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4314 | 2 |
| #10622301 | 2 |
| #10622292 | 2 |
| C82×C11 | 2 |
| #10622097 | 2 |
| #10622095 | 2 |
| #10622094 | 2 |
| #1590 | 11 |