Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 348 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. #19136391 | C2 | semidirect |
| 3. #19134731 | C2 | semidirect |
| 4. #19132611 | C2 | semidirect |
| 5. #19132610 | C2 | semidirect |
| 6. #19132609 | C2 | semidirect |
| 7. C43×#1349 | C2 | semidirect |
| 159. #1349 | D43 | semidirect |
| 185. C43 | #11862 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145169 | 2 |
| #19136391 | 2 |
| #19134731 | 2 |
| #19132611 | 2 |
| #19132610 | 2 |
| #19132609 | 2 |
| C43×#1349 | 2 |
| #11862 | 43 |