Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
400 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 79 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. C22⋊C16×D43 | C2 | semidirect |
| 3. #19134632 | C2 | semidirect |
| 4. #19132613 | C2 | semidirect |
| 5. #19132611 | C2 | semidirect |
| 6. #19132609 | C2 | semidirect |
| 7. C43×#1350 | C2 | semidirect |
| 176. #1350 | D43 | semidirect |
| 205. C43 | #11893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144178 | 2 |
| C22⋊C16×D43 | 2 |
| #19134632 | 2 |
| #19132613 | 2 |
| #19132611 | 2 |
| #19132609 | 2 |
| C43×#1350 | 2 |
| #11893 | 43 |