Finite Group DatabasebetaFinite Group DatabasebetaOrder 30656.
146 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 39 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. #29506429 | C2 | semidirect |
| 2. #29506410 | C2 | semidirect |
| 3. #29506407 | C2 | semidirect |
| 4. #29506370 | C2 | semidirect |
| 5. #29506310 | C2 | semidirect |
| 6. #29506300 | C2 | semidirect |
| 7. #104×C479 | C2 | semidirect |
| 63. C479 | #454 | semidirect |
| 70. #104 | D479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29506429 | 2 |
| #29506410 | 2 |
| #29506407 | 2 |
| #29506370 | 2 |
| #29506310 | 2 |
| #29506300 | 2 |
| #104×C479 | 2 |
| #454 | 479 |