Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#15668045 | C2 | semidirect |
| 3. C2×#15667938 | C2 | semidirect |
| 4. #19151503 | C2 | semidirect |
| 5. #343×C89 | C2 | semidirect |
| 28. C2×Dic178 | D4 | semidirect |
| 43. M16×C89 | D4 | semidirect |
| 94. C89 | #2007 | semidirect |
| 99. #343 | D89 | semidirect |
| 134. M16 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| #19152179 | 2 |
| C2×#15667938 | 2 |
| #19151503 | 2 |
| #343×C89 | 2 |
| #2007 | 89 |