Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
752 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 181 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×#15668010 | C2 | semidirect |
| 3. C2×#15668001 | C2 | semidirect |
| 4. C2×#15668000 | C2 | semidirect |
| 5. C2×#15667999 | C2 | semidirect |
| 6. #19151498 | C2 | semidirect |
| 7. C42×Dic89 | C2 | semidirect |
| 8. C2×#124×C89 | C2 | semidirect |
| 47. C4×Dic89 | D4 | semidirect |
| 59. C42×C89 | D4 | semidirect |
| 106. Dic89 | #124 | semidirect |
| 114. C89 | #2858 | semidirect |
| 120. C2×#124 | D89 | semidirect |
| 173. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668010 | 2 |
| C2×#15668008 | 2 |
| C2×#15668001 | 2 |
| C2×#15668000 | 2 |
| C2×#15667999 | 2 |
| #19151498 | 2 |
| C42×Dic89 | 2 |
| C2×#124×C89 | 2 |
| #2858 | 89 |