Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #29508483 | C2 | semidirect |
| 3. #29507735 | C2 | semidirect |
| 4. #29507733 | C2 | semidirect |
| 5. #29507690 | C2 | semidirect |
| 6. #29507477 | C2 | semidirect |
| 7. #339×C241 | C2 | semidirect |
| 14. #21440642 | C4 | semidirect |
| 15. #21440639 | C4 | semidirect |
| 16. #21440630 | C4 | semidirect |
| 17. #21440630 | C4 | semidirect |
| 45. #16838754 | D4 | semidirect |
| 58. M16×C241 | D4 | semidirect |
| 125. C241 | #1884 | semidirect |
| 133. #339 | D241 | semidirect |
| 176. M16 | D964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508483 | 2 |
| #29508267 | 2 |
| #29507735 | 2 |
| #29507733 | 2 |
| #29507690 | 2 |
| #29507477 | 2 |
| #339×C241 | 2 |
| #1884 | 241 |