Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
584 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#13083561 | C2 | semidirect |
| 3. C2×Q8×Dic89 | C2 | semidirect |
| 4. #19151796 | C2 | direct (N × H) |
| 5. C2×#15667941 | C2 | semidirect |
| 6. C2×#15667934 | C2 | semidirect |
| 7. C2×#15667933 | C2 | semidirect |
| 8. C22×SD16×C89 | C2 | semidirect |
| 13. C2×#13083561 | C22 | semidirect |
| 18. Q8×Dic89 | C22 | semidirect |
| 23. #15667941 | C22 | semidirect |
| 24. #15667934 | C22 | semidirect |
| 25. #15667933 | C22 | semidirect |
| 29. C2×SD16×C89 | C22 | semidirect |
| 55. C2×Q8×C89 | D4 | semidirect |
| 77. Q8×C89 | C2×D4 | semidirect |
| 92. C2×Dic89 | SD16 | semidirect |
| 118. Dic89 | C2×SD16 | semidirect |
| 120. C2×C89 | #460 | semidirect |
| 126. C89 | C2×#460 | semidirect |
| 128. C22×SD16 | D89 | semidirect |
| 143. C2×SD16 | C2×D89 | semidirect |
| 161. C2×Q8 | C22⋊D89 | semidirect |
| 203. Q8 | C2×C22⋊D89 | semidirect |
| 247. C2 | #19151796 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083561 | 2 |
| C2×#15668008 | 2 |
| C2×Q8×Dic89 | 2 |
| #19151796 | 2 |
| C2×#15667941 | 2 |
| C2×#15667934 | 2 |
| C2×#15667933 | 2 |
| C22×SD16×C89 | 2 |
| C2×#460 | 89 |