Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
602 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 602 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 |
|---|---|---|
| 1. #19144626 | C2 | semidirect |
| 3. #19133154 | C2 | semidirect |
| 4. #19133024 | C2 | semidirect |
| 5. #19132986 | C2 | semidirect |
| 6. #19132453 | C2 | semidirect |
| 7. C43×#2580 | C2 | semidirect |
| 93. C2×D4×C43 | SD16 | semidirect |
| 228. #2580 | D43 | semidirect |
| 265. C43 | #9998 | semidirect |
| 335. C2×D4 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144626 | 2 |
| #19144059 | 2 |
| #19133154 | 2 |
| #19133024 | 2 |
| #19132986 | 2 |
| #19132453 | 2 |
| C43×#2580 | 2 |
| #9998 | 43 |