Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
306 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136820 | C2 | semidirect |
| 3. C8×C43⋊C16 | C2 | semidirect |
| 4. C43×#1713 | C2 | semidirect |
| 63. #1713 | D43 | semidirect |
| 79. C43 | #12509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136820 | 2 |
| #19134210 | 2 |
| C8×C43⋊C16 | 2 |
| C43×#1713 | 2 |
| #12509 | 43 |