Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 1. #19136627 | C2 | semidirect |
| 2. #19133481 | C2 | semidirect |
| 3. #19132659 | C2 | semidirect |
| 4. #19132641 | C2 | semidirect |
| 5. C43×#1712 | C2 | semidirect |
| 76. C8×C43 | D16 | semidirect |
| 94. #1712 | D43 | semidirect |
| 114. C43 | #12491 | semidirect |
| 175. C8 | #13063266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136627 | 2 |
| #19133481 | 2 |
| #19132659 | 2 |
| #19132641 | 2 |
| C43×#1712 | 2 |
| #12491 | 43 |