Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
454 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19136342 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. #19136324 | C2 | semidirect |
| 5. #19135383 | C2 | semidirect |
| 6. #19132682 | C2 | semidirect |
| 7. C2×C43×#361 | C2 | semidirect |
| 50. #13063261 | D4 | semidirect |
| 172. C2×#361 | D43 | semidirect |
| 201. C43 | #13417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145076 | 2 |
| #19136342 | 2 |
| C2×#14582712 | 2 |
| #19136324 | 2 |
| #19135383 | 2 |
| #19132682 | 2 |
| C2×C43×#361 | 2 |
| #13417 | 43 |