Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
510 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×D712 | C2 | semidirect |
| 2. C22×#13083559 | C2 | semidirect |
| 3. C2×#15668008 | C2 | semidirect |
| 4. C2×#15667932 | C2 | semidirect |
| 5. #19151499 | C2 | semidirect |
| 6. #19151352 | C2 | semidirect |
| 7. C2×#102×C89 | C2 | semidirect |
| 40. C2×D356 | D4 | semidirect |
| 49. C2×#10623494 | D4 | semidirect |
| 64. C2×C8×C89 | D4 | semidirect |
| 98. C2×Dic89 | D8 | semidirect |
| 144. C89 | #2011 | semidirect |
| 149. C2×#102 | D89 | semidirect |
| 205. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D712 | 2 |
| C22×#13083559 | 2 |
| C2×#15668008 | 2 |
| C2×#15667932 | 2 |
| #19151499 | 2 |
| #19151352 | 2 |
| C2×#102×C89 | 2 |
| #2011 | 89 |