Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #29504679 | C2 | semidirect |
| 3. #29504663 | C2 | semidirect |
| 4. #29504661 | C2 | semidirect |
| 6. #29504646 | C2 | semidirect |
| 7. #29504643 | C2 | semidirect |
| 8. #29504636 | C2 | semidirect |
| 9. #391×C239 | C2 | semidirect |
| 12. #21439949 | C4 | semidirect |
| 48. (C2×D239)⋊C4 | C2×C4 | semidirect |
| 49. (C2×D239)⋊C4 | C2×C4 | semidirect |
| 51. C4×Dic239 | C2×C4 | semidirect |
| 54. C2×Q8×C239 | C2×C4 | semidirect |
| 123. C239 | #2379 | semidirect |
| 127. #391 | D239 | semidirect |
| 159. C2×Q8 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439949 | 2 |
| #29504679 | 2 |
| #29504663 | 2 |
| #29504661 | 2 |
| #29504650 | 2 |
| #29504646 | 2 |
| #29504643 | 2 |
| #29504636 | 2 |
| #391×C239 | 2 |
| #2379 | 239 |