Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19144998 | C2 | semidirect |
| 3. #19140464 | C2 | semidirect |
| 4. #19133143 | C2 | semidirect |
| 5. #19133037 | C2 | semidirect |
| 6. #19132461 | C2 | semidirect |
| 7. C43×#1534 | C2 | semidirect |
| 200. #1534 | D43 | semidirect |
| 235. C43 | #10019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144998 | 2 |
| #19144687 | 2 |
| #19140464 | 2 |
| #19133143 | 2 |
| #19133037 | 2 |
| #19132461 | 2 |
| C43×#1534 | 2 |
| #10019 | 43 |