Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
394 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19133639 | C2 | semidirect |
| 4. #19133571 | C2 | semidirect |
| 5. #19132626 | C2 | semidirect |
| 6. #19132623 | C2 | semidirect |
| 66. C2×D4×C43 | Q16 | semidirect |
| 206. C43 | #12223 | semidirect |
| 250. C2×D4 | Dic172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142296 | 2 |
| #19135751 | 2 |
| #19133639 | 2 |
| #19133571 | 2 |
| #19132626 | 2 |
| #19132623 | 2 |
| C43×#1318 | 2 |
| #12223 | 43 |