Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
442 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×C4×Dic89 | C2 | semidirect |
| 3. C2×#15667938 | C2 | semidirect |
| 4. #19151359 | C2 | semidirect |
| 5. #407×C89 | C2 | semidirect |
| 9. #15667991 | C4 | semidirect |
| 10. #15667986 | C4 | semidirect |
| 23. C2×Dic178 | C2×C4 | semidirect |
| 24. C2×D356 | C2×C4 | semidirect |
| 31. C4⋊Dic89 | C2×C4 | semidirect |
| 39. C4×Dic89 | D4 | semidirect |
| 82. C22×C89 | #104 | semidirect |
| 101. C89 | #1896 | semidirect |
| 105. #407 | D89 | semidirect |
| 185. C22 | #15667938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152109 | 2 |
| C22×C4×Dic89 | 2 |
| C2×#15667938 | 2 |
| #19151359 | 2 |
| #407×C89 | 2 |
| #1896 | 89 |