Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
318 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×#14582677 | C2 | semidirect |
| 3. #19132629 | C2 | semidirect |
| 4. #19132627 | C2 | semidirect |
| 5. C2×C43×#347 | C2 | semidirect |
| 136. C2×#347 | D43 | semidirect |
| 161. C43 | #11911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144941 | 2 |
| C2×#14582677 | 2 |
| #19132629 | 2 |
| #19132627 | 2 |
| C2×C43×#347 | 2 |
| #11911 | 43 |