Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 4. #19132625 | C2 | semidirect |
| 5. #19132622 | C2 | semidirect |
| 6. #19132529 | C2 | semidirect |
| 7. C43×#2799 | C2 | semidirect |
| 70. C2×Q8×C43 | SD16 | semidirect |
| 175. #2799 | D43 | semidirect |
| 207. C43 | #12128 | semidirect |
| 256. C2×Q8 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135641 | 2 |
| #19133631 | 2 |
| #19133563 | 2 |
| #19132625 | 2 |
| #19132622 | 2 |
| #19132529 | 2 |
| C43×#2799 | 2 |
| #12128 | 43 |