Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×C4⋊#10623494 | C2 | semidirect |
| 3. C2×#15667941 | C2 | semidirect |
| 6. #19151352 | C2 | semidirect |
| 7. #336×C89 | C2 | semidirect |
| 70. C2×C4×C89 | M16 | semidirect |
| 85. C2×Dic89 | M16 | semidirect |
| 126. C89 | #1851 | semidirect |
| 133. #336 | D89 | semidirect |
| 209. C2×C4 | #13083557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083557 | 2 |
| C2×C4⋊#10623494 | 2 |
| C2×#15667941 | 2 |
| C2×#15667924 | 2 |
| C4×#13083551 | 2 |
| #19151352 | 2 |
| #336×C89 | 2 |
| #1851 | 89 |