Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
360 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. #29507727 | C2 | semidirect |
| 4. #29507725 | C2 | semidirect |
| 6. #29507477 | C2 | semidirect |
| 7. #339×C241 | C2 | semidirect |
| 12. #21440630 | C4 | semidirect |
| 30. C2×Dic482 | C2×C4 | semidirect |
| 56. C42×C241 | C2×C4 | semidirect |
| 107. C241 | #1885 | semidirect |
| 115. #339 | D241 | semidirect |
| 164. C42 | C4×D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21440630 | 2 |
| #29508191 | 2 |
| #29507727 | 2 |
| #29507725 | 2 |
| C2×#21440558 | 2 |
| #29507477 | 2 |
| #339×C241 | 2 |
| #1885 | 241 |