Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #19151520 | C2 | semidirect |
| 4. #19151509 | C2 | semidirect |
| 5. #19151505 | C2 | semidirect |
| 6. #19151489 | C2 | semidirect |
| 7. #19151488 | C2 | semidirect |
| 8. #19151479 | C2 | semidirect |
| 9. C2×C4⋊Q8×C89 | C2 | semidirect |
| 126. C89 | #2731 | semidirect |
| 127. C2×C4⋊Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668001 | 2 |
| #19151520 | 2 |
| #19151515 | 2 |
| #19151509 | 2 |
| #19151505 | 2 |
| #19151489 | 2 |
| #19151488 | 2 |
| #19151479 | 2 |
| C2×C4⋊Q8×C89 | 2 |
| #2731 | 89 |