Finite Group DatabasebetaFinite Group DatabasebetaOrder 29504.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 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 |
|---|---|---|
| 2. C2×#20301491 | C2 | semidirect |
| 4. #28414043 | C2 | semidirect |
| 5. #28414042 | C2 | semidirect |
| 7. C2×Q16×C461 | C2 | semidirect |
| 45. C2×D461 | Q16 | semidirect |
| 57. C461 | #451 | semidirect |
| 61. C2×Q16 | D461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D461 | 2 |
| C2×#20301491 | 2 |
| #28414094 | 2 |
| #28414043 | 2 |
| #28414042 | 2 |
| #28414030 | 2 |
| C2×Q16×C461 | 2 |
| #451 | 461 |