Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
632 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#15667995 | C2 | semidirect |
| 3. C22×C4⋊Dic89 | C2 | semidirect |
| 4. #19151531 | C2 | semidirect |
| 5. #19151521 | C2 | semidirect |
| 6. #19151520 | C2 | semidirect |
| 7. #19151514 | C2 | semidirect |
| 8. #19151478 | C2 | semidirect |
| 9. #19151475 | C2 | semidirect |
| 10. #19151456 | C2 | semidirect |
| 11. C2×#123×C89 | C2 | semidirect |
| 72. C22×C4×C89 | D4 | semidirect |
| 160. C89 | #2618 | semidirect |
| 162. C2×#123 | D89 | semidirect |
| 221. C22×C4 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| C2×#15667984 | 2 |
| C22×C4⋊Dic89 | 2 |
| #19151531 | 2 |
| #19151521 | 2 |
| #19151520 | 2 |
| #19151514 | 2 |
| #19151478 | 2 |
| #19151475 | 2 |
| #19151456 | 2 |
| C2×#123×C89 | 2 |
| #2618 | 89 |