Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
302 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19151641 | C2 | semidirect |
| 5. #19151468 | C2 | semidirect |
| 6. #19151366 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 20. #15667940 | C4 | semidirect |
| 38. #13083558 | C2×C4 | semidirect |
| 58. C42×C89 | C2×C4 | semidirect |
| 80. D356 | C4⋊C4 | semidirect |
| 85. Dic178 | C4⋊C4 | semidirect |
| 113. C89 | #1859 | semidirect |
| 120. #339 | D89 | semidirect |
| 171. C42 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152078 | 2 |
| #19151641 | 2 |
| C2×#15667940 | 2 |
| #19151600 | 2 |
| #19151468 | 2 |
| #19151366 | 2 |
| #339×C89 | 2 |
| #1859 | 89 |