Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
272 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 13. #15667941 | C4 | semidirect |
| 15. #15667922 | C4 | semidirect |
| 63. C8×C89 | C4⋊C4 | semidirect |
| 85. C89 | #1771 | semidirect |
| 150. C8 | #13083553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667941 | 2 |
| C2×#15667922 | 2 |
| C4×#13083553 | 2 |
| #19151353 | 2 |
| #19151352 | 2 |
| C2×C4×C8×C89 | 2 |
| #1771 | 89 |