Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
542 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19145117 | C2 | semidirect |
| 4. #19133160 | C2 | semidirect |
| 5. #19133159 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 122. C2×C43⋊C8 | SD16 | semidirect |
| 217. C43 | #10220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145536 | 2 |
| #19145117 | 2 |
| #19135420 | 2 |
| #19133160 | 2 |
| #19133159 | 2 |
| #19132439 | 2 |
| C43×#3208 | 2 |
| #10220 | 43 |