Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
500 conjugacy classes of subgroups; only the 217 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 217 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. C11×#431 | C2 | semidirect |
| 3. #10622538 | C2 | semidirect |
| 4. #10622447 | C2 | semidirect |
| 5. D11×C22⋊C8 | C2 | semidirect |
| 6. C8×D44 | C2 | semidirect |
| 12. C2×C8×D11 | C22 | semidirect |
| 17. C11×C4⋊C8 | C22 | semidirect |
| 19. C4×C8×C11 | C22 | semidirect |
| 21. (C2×D11)⋊C8 | C22 | semidirect |
| 22. C4⋊(C11⋊C8) | C22 | semidirect |
| 23. C4×C11⋊C8 | C22 | semidirect |
| 29. C2×D44 | C8 | semidirect |
| 50. C22×D11 | C2×C8 | semidirect |
| 54. C2×C4×C11 | C2×C8 | semidirect |
| 63. D44 | C2×C8 | semidirect |
| 64. D44 | C2×C8 | semidirect |
| 73. #431 | D11 | semidirect |
| 101. C4⋊C8 | C2×D11 | semidirect |
| 106. C4×C8 | C2×D11 | semidirect |
| 134. C11 | #2972 | semidirect |
| 148. C2×C4 | C8×D11 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D44 | 2 |
| C11×#431 | 2 |
| #10622538 | 2 |
| #10622447 | 2 |
| D11×C22⋊C8 | 2 |
| C8×D44 | 2 |
| #2972 | 11 |