Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#15668031 | C2 | semidirect |
| 2. #19152252 | C2 | semidirect |
| 3. #19151978 | C2 | semidirect |
| 4. #19151840 | C2 | semidirect |
| 5. #19151803 | C2 | semidirect |
| 6. #19151761 | C2 | semidirect |
| 7. C8×D356 | C2 | semidirect |
| 8. C4×D8×C89 | C2 | semidirect |
| 49. D8×C89 | D4 | semidirect |
| 85. C4×C89 | #135 | semidirect |
| 96. C89 | #3283 | semidirect |
| 103. C4×D8 | D89 | semidirect |
| 137. D8 | D356 | semidirect |
| 183. C4 | #15668031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668031 | 2 |
| #19152252 | 2 |
| #19151978 | 2 |
| #19151840 | 2 |
| #19151803 | 2 |
| #19151761 | 2 |
| C8×D356 | 2 |
| C4×D8×C89 | 2 |
| #3283 | 89 |