Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
222 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 109 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. C4×Q8×C31 | C2 | semidirect |
| 3. #11758521 | C2 | semidirect |
| 6. #11758466 | C2 | semidirect |
| 7. #11758465 | C2 | semidirect |
| 10. C4×Dic62 | C2 | semidirect |
| 11. C4×Dic62 | C2 | semidirect |
| 49. C4×D31 | Q8 | semidirect |
| 79. C4×Q8 | D31 | semidirect |
| 82. C31 | #533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×C31 | 2 |
| #11758523 | 2 |
| #11758521 | 2 |
| #11758474 | 2 |
| #11758473 | 2 |
| #11758466 | 2 |
| #11758465 | 2 |
| #11758449 | 2 |
| C42×D31 | 2 |
| C4×Dic62 | 2 |
| #533 | 31 |