Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 5. #14582692 | C4 | semidirect |
| 8. C2×C4×C8×C43 | C4 | semidirect |
| 9. C43×#384 | C4 | semidirect |
| 108. C2×C4×C8 | Dic43 | semidirect |
| 109. #384 | Dic43 | semidirect |
| 112. C43 | #7498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582692 | 2 |
| C43×#1957 | 2 |
| #7498 | 43 |