Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
340 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19136844 | C2 | semidirect |
| 2. #19136818 | C2 | semidirect |
| 3. #19134187 | C2 | semidirect |
| 4. #19132513 | C2 | semidirect |
| 5. C43×#1712 | C2 | semidirect |
| 68. C8×C43 | D16 | semidirect |
| 84. #1712 | D43 | semidirect |
| 103. C43 | #12525 | semidirect |
| 155. C8 | #13063266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136844 | 2 |
| #19136818 | 2 |
| #19134187 | 2 |
| #19132513 | 2 |
| C43×#1712 | 2 |
| #12525 | 43 |