Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19151651 | C2 | semidirect |
| 2. #19151464 | C2 | semidirect |
| 3. #19151332 | C2 | semidirect |
| 12. C4⋊Q8×C89 | C4 | semidirect |
| 13. #127×C89 | C4 | semidirect |
| 18. C4×D4×C89 | C4 | semidirect |
| 89. C89 | #1517 | semidirect |
| 95. C4⋊Q8 | Dic89 | semidirect |
| 96. #127 | Dic89 | semidirect |
| 101. C4×D4 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151651 | 2 |
| #19151464 | 2 |
| #19151332 | 2 |
| #532×C89 | 2 |
| #1517 | 89 |