Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
658 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19145522 | C2 | semidirect |
| 3. #19139548 | C2 | semidirect |
| 4. #19133275 | C2 | semidirect |
| 5. #19133091 | C2 | semidirect |
| 6. #19132497 | C2 | semidirect |
| 7. C43×#1478 | C2 | semidirect |
| 84. C2×D4×C43 | SD16 | semidirect |
| 215. #1478 | D43 | semidirect |
| 247. C43 | #10240 | semidirect |
| 313. C2×D4 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145522 | 2 |
| #19144059 | 2 |
| #19139548 | 2 |
| #19133275 | 2 |
| #19133091 | 2 |
| #19132497 | 2 |
| C43×#1478 | 2 |
| #10240 | 43 |