Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. #19142482 | C2 | semidirect |
| 5. #19132621 | C2 | semidirect |
| 6. #19132528 | C2 | semidirect |
| 7. C43×#1354 | C2 | semidirect |
| 89. C2×Dic86 | SD16 | semidirect |
| 179. #1354 | D43 | semidirect |
| 207. C43 | #12128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142482 | 2 |
| #19135644 | 2 |
| #19133634 | 2 |
| #19133563 | 2 |
| #19132621 | 2 |
| #19132528 | 2 |
| C43×#1354 | 2 |
| #12128 | 43 |