Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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×#15668037 | C2 | semidirect |
| 2. #19152162 | C2 | semidirect |
| 3. C2×#15668009 | C2 | semidirect |
| 4. #19151604 | C2 | semidirect |
| 5. C2×#15667928 | C2 | semidirect |
| 6. #19151358 | C2 | semidirect |
| 7. C2×#104×C89 | C2 | semidirect |
| 44. C2×D356 | D4 | semidirect |
| 49. #13083558 | D4 | semidirect |
| 51. C4⋊Dic89 | D4 | semidirect |
| 59. C2×Q8×C89 | D4 | semidirect |
| 61. C2×D4×C89 | D4 | semidirect |
| 69. C42×C89 | D4 | semidirect |
| 139. C89 | #2002 | semidirect |
| 143. C2×#104 | D89 | semidirect |
| 174. C2×Q8 | D356 | semidirect |
| 191. C2×D4 | D356 | semidirect |
| 208. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| #19152162 | 2 |
| C2×#15668009 | 2 |
| #19151604 | 2 |
| C2×#15667928 | 2 |
| #19151358 | 2 |
| C2×#104×C89 | 2 |
| #2002 | 89 |