Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D31 | C2 | semidirect |
| 2. C2×#92481 | C2 | semidirect |
| 3. C2×#92470 | C2 | semidirect |
| 5. C31×#103 | C2 | semidirect |
| 6. (C2×D31)⋊C8 | C2 | semidirect |
| 7. #11758398 | C2 | semidirect |
| 26. Q8×C31 | D4 | semidirect |
| 40. Dic62 | D4 | semidirect |
| 49. C2×D31 | SD16 | semidirect |
| 67. #103 | D31 | semidirect |
| 69. C31 | #448 | semidirect |
| 91. Q8 | D124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D31 | 2 |
| C2×#92481 | 2 |
| C2×#92470 | 2 |
| #11758472 | 2 |
| C31×#103 | 2 |
| (C2×D31)⋊C8 | 2 |
| #11758398 | 2 |
| #448 | 31 |