Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
228 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 107 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×C4⋊C4×C31 | C2 | semidirect |
| 4. #11758501 | C2 | semidirect |
| 5. #11758501 | C2 | semidirect |
| 6. #11758474 | C2 | semidirect |
| 7. #11758473 | C2 | semidirect |
| 8. C4⋊C4×D31 | C2 | semidirect |
| 9. #11758466 | C2 | semidirect |
| 10. #11758465 | C2 | semidirect |
| 11. #11758464 | C2 | semidirect |
| 43. C22⋊D31 | Q8 | semidirect |
| 85. C2×C4⋊C4 | D31 | semidirect |
| 86. C31 | #554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊C4×C31 | 2 |
| C4×C22⋊D31 | 2 |
| #11758501 | 2 |
| #11758474 | 2 |
| #11758473 | 2 |
| C4⋊C4×D31 | 2 |
| #11758466 | 2 |
| #11758465 | 2 |
| #11758464 | 2 |
| #554 | 31 |