Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #19144311 | C2 | semidirect |
| 2. C2×#14583166 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. #19136323 | C2 | semidirect |
| 5. #19136215 | C2 | semidirect |
| 6. #19132707 | C2 | semidirect |
| 7. C2×C43×#509 | C2 | semidirect |
| 203. C2×#509 | D43 | semidirect |
| 240. C43 | #13323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144311 | 2 |
| C2×#14583166 | 2 |
| C2×#14582712 | 2 |
| #19136323 | 2 |
| #19136215 | 2 |
| #19132707 | 2 |
| C2×C43×#509 | 2 |
| #13323 | 43 |