Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 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 |
|---|---|---|
| 2. #19152072 | C2 | semidirect |
| 3. #19151604 | C2 | semidirect |
| 4. #19151572 | C2 | semidirect |
| 5. #19151370 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 7. #421×C89 | C2 | semidirect |
| 11. C2×#13083561 | C4 | semidirect |
| 12. C2×#13083559 | C4 | semidirect |
| 37. C2×#10623494 | C2×C4 | semidirect |
| 49. C2×Q8×C89 | C2×C4 | semidirect |
| 51. C2×D4×C89 | C2×C4 | semidirect |
| 116. C89 | #1904 | semidirect |
| 119. #421 | D89 | semidirect |
| 146. C2×Q8 | C4×D89 | semidirect |
| 154. C2×D4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| #19152072 | 2 |
| #19151604 | 2 |
| #19151572 | 2 |
| #19151370 | 2 |
| #19151354 | 2 |
| #421×C89 | 2 |
| #1904 | 89 |