Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 534 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 |
|---|---|---|
| 1. C2×#14583334 | C2 | semidirect |
| 2. C2×#14583169 | C2 | semidirect |
| 3. C2×#14582711 | C2 | semidirect |
| 4. #19136323 | C2 | semidirect |
| 5. #19136216 | C2 | semidirect |
| 6. #19132706 | C2 | semidirect |
| 7. C43×#3067 | C2 | semidirect |
| 204. #3067 | 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 |
|---|---|
| C2×#14583334 | 2 |
| C2×#14583169 | 2 |
| C2×#14582711 | 2 |
| #19136323 | 2 |
| #19136216 | 2 |
| #19132706 | 2 |
| C43×#3067 | 2 |
| #13323 | 43 |