Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
442 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 3. C2×#14582675 | C2 | semidirect |
| 4. #19132692 | C2 | semidirect |
| 5. C4×#108×C43 | C2 | semidirect |
| 14. #14582705 | C4 | semidirect |
| 34. C2×C43⋊C16 | C2×C4 | semidirect |
| 44. #108×C43 | C2×C4 | semidirect |
| 121. C4×#108 | D43 | semidirect |
| 141. C43 | #12640 | semidirect |
| 162. #108 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063347 | 2 |
| C2×#14582705 | 2 |
| C2×#14582675 | 2 |
| #19132692 | 2 |
| C4×#108×C43 | 2 |
| #12640 | 43 |