Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19142548 | C2 | semidirect |
| 4. #19132420 | C2 | semidirect |
| 5. #19132418 | C2 | semidirect |
| 6. #19132417 | C2 | semidirect |
| 102. C4⋊C4×C43 | SD16 | semidirect |
| 236. C43 | #7747 | semidirect |
| 327. C4⋊C4 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142548 | 2 |
| #19135826 | 2 |
| #19135683 | 2 |
| #19132420 | 2 |
| #19132418 | 2 |
| #19132417 | 2 |
| C43×#2041 | 2 |
| #7747 | 43 |