Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 3. #19151425 | C2 | semidirect |
| 4. #19151402 | C2 | semidirect |
| 6. C4×#13083549 | C2 | semidirect |
| 7. C4×Q16×C89 | C2 | semidirect |
| 10. #15667955 | C4 | direct (N × H) |
| 27. #13083549 | C2×C4 | semidirect |
| 30. Q16×C89 | C2×C4 | semidirect |
| 59. C4×C89 | SD32 | semidirect |
| 68. C89 | C4×SD32 | semidirect |
| 70. C4×Q16 | D89 | semidirect |
| 92. Q16 | C4×D89 | semidirect |
| 128. C4 | #15667955 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667955 | 2 |
| C4×D712 | 2 |
| #19151425 | 2 |
| #19151402 | 2 |
| #19151398 | 2 |
| C4×#13083549 | 2 |
| C4×Q16×C89 | 2 |
| C4×SD32 | 89 |