Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19152364 | C2 | semidirect |
| 3. #19151604 | C2 | semidirect |
| 4. #19151602 | C2 | semidirect |
| 5. #19151571 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 7. H(3,ℤ/4)×C89 | C2 | semidirect |
| 14. #15668009 | C4 | semidirect |
| 15. #15668000 | C4 | semidirect |
| 44. C2×#10623494 | D4 | semidirect |
| 53. C2×C8×C89 | D4 | semidirect |
| 116. C89 | #1910 | semidirect |
| 123. H(3,ℤ/4) | D89 | semidirect |
| 165. C2×C8 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152364 | 2 |
| #19152167 | 2 |
| #19151604 | 2 |
| #19151602 | 2 |
| #19151571 | 2 |
| #19151354 | 2 |
| H(3,ℤ/4)×C89 | 2 |
| #1910 | 89 |