Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
232 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136497 | C2 | semidirect |
| 4. #19132664 | C2 | semidirect |
| 5. #19132575 | C2 | semidirect |
| 6. #19132514 | C2 | semidirect |
| 55. #10621883 | C16 | semidirect |
| 80. Dic86 | C2×C16 | semidirect |
| 88. C43⋊C8 | C2×C16 | semidirect |
| 128. C43 | SD16⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136497 | 2 |
| D4×C43⋊C16 | 2 |
| C8×#10621883 | 2 |
| #19132664 | 2 |
| #19132575 | 2 |
| #19132514 | 2 |
| C43×D4⋊C16 | 2 |
| SD16⋊C16 | 43 |