Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
458 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. C2×#14582714 | C2 | semidirect |
| 4. C2×#14582704 | C2 | semidirect |
| 6. #19132705 | C2 | semidirect |
| 7. C43×#1381 | C2 | semidirect |
| 17. #14583175 | C4 | semidirect |
| 171. #1381 | D43 | semidirect |
| 198. C43 | #13072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583315 | 2 |
| C2×#14583175 | 2 |
| C2×#14582714 | 2 |
| C2×#14582704 | 2 |
| #19134656 | 2 |
| #19132705 | 2 |
| C43×#1381 | 2 |
| #13072 | 43 |