Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
332 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19146046 | C2 | semidirect |
| 4. #19132584 | C2 | semidirect |
| 5. #19132583 | C2 | semidirect |
| 6. #19132547 | C2 | semidirect |
| 192. C43 | #12171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146046 | 2 |
| #19136546 | 2 |
| #19135898 | 2 |
| #19132584 | 2 |
| #19132583 | 2 |
| #19132547 | 2 |
| C43×#2191 | 2 |
| #12171 | 43 |