Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
314 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19152076 | C2 | semidirect |
| 3. C2×#15667931 | C2 | semidirect |
| 4. #19151354 | C2 | semidirect |
| 14. C4⋊Q8×C89 | C4 | semidirect |
| 15. #124×C89 | C4 | semidirect |
| 82. C89 | #1912 | semidirect |
| 91. C4⋊Q8 | Dic89 | semidirect |
| 92. #124 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152076 | 2 |
| #19151615 | 2 |
| C2×#15667931 | 2 |
| #19151354 | 2 |
| #536×C89 | 2 |
| #1912 | 89 |