Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
438 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×D4×Dic89 | C2 | semidirect |
| 3. C2×#15667934 | C2 | semidirect |
| 4. #19151499 | C2 | semidirect |
| 5. #19151360 | C2 | semidirect |
| 6. #19151352 | C2 | semidirect |
| 7. C2×#102×C89 | C2 | semidirect |
| 12. C2×#13083559 | C4 | semidirect |
| 32. C2×D356 | C2×C4 | semidirect |
| 42. C2×#10623494 | C2×C4 | semidirect |
| 82. D4×C89 | C22⋊C4 | semidirect |
| 101. C2×Dic89 | D8 | semidirect |
| 147. C89 | #1879 | semidirect |
| 151. C2×#102 | D89 | semidirect |
| 233. D4 | #13083551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083559 | 2 |
| C2×D4×Dic89 | 2 |
| C2×#15667934 | 2 |
| #19151499 | 2 |
| #19151360 | 2 |
| #19151352 | 2 |
| C2×#102×C89 | 2 |
| #1879 | 89 |