Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 1. #19152270 | C2 | semidirect |
| 2. #19151975 | C2 | semidirect |
| 3. #19151794 | C2 | semidirect |
| 4. C4×D712 | C2 | semidirect |
| 5. C8×Q8×C89 | C2 | semidirect |
| 32. Q8×C89 | D8 | semidirect |
| 43. C8×C89 | #41 | semidirect |
| 58. C89 | #3391 | semidirect |
| 62. C8×Q8 | D89 | semidirect |
| 90. Q8 | D712 | semidirect |
| 101. C8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152270 | 2 |
| #19151975 | 2 |
| #19151794 | 2 |
| C4×D712 | 2 |
| C8×Q8×C89 | 2 |
| #3391 | 89 |