Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #19135423 | C2 | semidirect |
| 3. #19133270 | C2 | semidirect |
| 4. #19132470 | C2 | semidirect |
| 5. C43×#1842 | C2 | semidirect |
| 69. C42×C43 | D8 | semidirect |
| 133. #1842 | D43 | semidirect |
| 155. C43 | #10518 | semidirect |
| 214. C42 | D344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145905 | 2 |
| #19135423 | 2 |
| #19133270 | 2 |
| #19132470 | 2 |
| C43×#1842 | 2 |
| #10518 | 43 |