Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
310 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19132613 | C2 | semidirect |
| 7. C43×#1350 | C2 | semidirect |
| 149. #1350 | D43 | semidirect |
| 176. C43 | #11861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145166 | 2 |
| #19136391 | 2 |
| #19134731 | 2 |
| #19132613 | 2 |
| #19132611 | 2 |
| #19132609 | 2 |
| C43×#1350 | 2 |
| #11861 | 43 |