Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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×#15668043 | C2 | semidirect |
| 3. #19151820 | C2 | semidirect |
| 4. #19151808 | C2 | semidirect |
| 5. #19151798 | C2 | semidirect |
| 6. #19151622 | C2 | semidirect |
| 7. #19151597 | C2 | semidirect |
| 8. C2×C4×Q8×C89 | C2 | semidirect |
| 52. C2×Q8×C89 | D4 | semidirect |
| 111. C4×C89 | #137 | semidirect |
| 121. C89 | #3037 | semidirect |
| 124. C2×C4×Q8 | D89 | semidirect |
| 160. C2×Q8 | D356 | semidirect |
| 233. C4 | #15668043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| #19152148 | 2 |
| #19151820 | 2 |
| #19151808 | 2 |
| #19151798 | 2 |
| #19151622 | 2 |
| #19151597 | 2 |
| C2×C4×Q8×C89 | 2 |
| #3037 | 89 |