Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #19152066 | C2 | semidirect |
| 3. #19151692 | C2 | semidirect |
| 4. #19151685 | C2 | semidirect |
| 5. #19151680 | C2 | semidirect |
| 6. #19151592 | C2 | semidirect |
| 7. C2×C8×Dic89 | C2 | semidirect |
| 8. #427×C89 | C2 | semidirect |
| 10. #15668034 | C4 | semidirect |
| 30. #13083574 | C2×C4 | semidirect |
| 37. Dic356 | C2×C4 | semidirect |
| 38. #13083563 | C2×C4 | semidirect |
| 39. D712 | C2×C4 | semidirect |
| 49. C2×C8×C89 | C2×C4 | semidirect |
| 87. Dic89 | #135 | semidirect |
| 93. C89 | C4×#135 | semidirect |
| 99. #427 | D89 | semidirect |
| 136. C2×C8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| #19152066 | 2 |
| #19151692 | 2 |
| #19151685 | 2 |
| #19151680 | 2 |
| #19151592 | 2 |
| C2×C8×Dic89 | 2 |
| #427×C89 | 2 |
| C4×#135 | 89 |