Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
750 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 750 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×#14583040 | C2 | semidirect |
| 3. C2×#14583037 | C2 | semidirect |
| 4. #19134518 | C2 | semidirect |
| 5. #19132956 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C43×#1471 | C2 | semidirect |
| 222. #1471 | D43 | semidirect |
| 255. C43 | #9988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145392 | 2 |
| C2×#14583040 | 2 |
| C2×#14583037 | 2 |
| #19134518 | 2 |
| #19132956 | 2 |
| #19132483 | 2 |
| C43×#1471 | 2 |
| #9988 | 43 |