Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
130 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 41 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. C31×#121 | C2 | semidirect |
| 2. C2×#92479 | C2 | semidirect |
| 3. #11758507 | C2 | semidirect |
| 4. C2×#92474 | C2 | semidirect |
| 5. #11758420 | C2 | semidirect |
| 6. #11758397 | C2 | semidirect |
| 7. #11758396 | C2 | semidirect |
| 37. C31⋊C8 | D4 | semidirect |
| 63. #121 | D31 | semidirect |
| 67. C31 | #469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C31×#121 | 2 |
| C2×#92479 | 2 |
| #11758507 | 2 |
| C2×#92474 | 2 |
| #11758420 | 2 |
| #11758397 | 2 |
| #11758396 | 2 |
| #469 | 31 |