Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11758495 | C2 | semidirect |
| 2. C2×#11758492 | C2 | semidirect |
| 4. C4⋊Q8×D31 | C2 | semidirect |
| 5. #14521444 | C2 | semidirect |
| 6. #14521443 | C2 | semidirect |
| 7. #14521441 | C2 | semidirect |
| 8. #14521427 | C2 | semidirect |
| 9. #14521420 | C2 | semidirect |
| 10. #14521001 | C2 | semidirect |
| 11. C31×#497 | C2 | semidirect |
| 79. #92469 | D4 | semidirect |
| 125. Dic31 | #137 | semidirect |
| 133. #497 | D31 | semidirect |
| 171. C31 | #3152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758495 | 2 |
| C2×#11758492 | 2 |
| #14521598 | 2 |
| C4⋊Q8×D31 | 2 |
| #14521444 | 2 |
| #14521443 | 2 |
| #14521441 | 2 |
| #14521427 | 2 |
| #14521420 | 2 |
| #14521001 | 2 |
| C31×#497 | 2 |
| #3152 | 31 |