Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19142662 | C2 | semidirect |
| 4. C2×#14582641 | C2 | semidirect |
| 5. C2×#14582640 | C2 | semidirect |
| 6. #19132477 | C2 | semidirect |
| 220. C43 | #10080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583263 | 2 |
| #19142662 | 2 |
| #19135420 | 2 |
| C2×#14582641 | 2 |
| C2×#14582640 | 2 |
| #19132477 | 2 |
| C2×C43×#490 | 2 |
| #10080 | 43 |