Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
308 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 57 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. #29508063 | C2 | semidirect |
| 3. #29507998 | C2 | semidirect |
| 4. #29507923 | C2 | semidirect |
| 5. #29507444 | C2 | semidirect |
| 6. #29507444 | C2 | semidirect |
| 7. #331×C241 | C2 | semidirect |
| 11. #21440642 | C22 | semidirect |
| 21. C4×#14515349 | C22 | semidirect |
| 23. C4⋊C8×C241 | C22 | semidirect |
| 24. C4⋊C8×C241 | C22 | semidirect |
| 62. D964 | SD16 | semidirect |
| 109. C241 | #1639 | semidirect |
| 115. #331 | D241 | semidirect |
| 129. C4⋊C8 | C2×D241 | semidirect |
| 130. C4⋊C8 | C2×D241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508352 | 2 |
| #29508063 | 2 |
| #29507998 | 2 |
| #29507923 | 2 |
| #29507444 | 2 |
| #331×C241 | 2 |
| #1639 | 241 |