Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
220 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19133491 | C2 | semidirect |
| 4. #19132666 | C2 | semidirect |
| 5. #19132560 | C2 | semidirect |
| 6. #19132511 | C2 | semidirect |
| 67. C43⋊C16 | M16 | semidirect |
| 128. C43 | #12084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063269 | 2 |
| #19133491 | 2 |
| #19133480 | 2 |
| #19132666 | 2 |
| #19132560 | 2 |
| #19132511 | 2 |
| C43×#1331 | 2 |
| #12084 | 43 |