Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
180 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136874 | C2 | semidirect |
| 3. #19132777 | C2 | semidirect |
| 5. C4×C32×C43 | C2 | semidirect |
| 69. C4×C32 | D43 | semidirect |
| 82. C43 | #13721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136874 | 2 |
| #19136856 | 2 |
| #19132777 | 2 |
| #19132774 | 2 |
| C4×C32×C43 | 2 |
| #13721 | 43 |