Finite Group DatabasebetaFinite Group DatabasebetaOrder 30848.
362 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #29508191 | C2 | semidirect |
| 3. #29507735 | C2 | semidirect |
| 4. #29507733 | C2 | semidirect |
| 5. C2×#21440558 | C2 | semidirect |
| 6. #29507473 | C2 | semidirect |
| 7. H(3,ℤ/4)×C241 | C2 | semidirect |
| 11. #21440639 | C4 | semidirect |
| 12. #21440630 | C4 | semidirect |
| 30. C2×Dic482 | C2×C4 | semidirect |
| 37. C2×D964 | C2×C4 | semidirect |
| 49. C4×Dic241 | D4 | semidirect |
| 58. C42×C241 | C2×C4 | semidirect |
| 59. C42×C241 | D4 | semidirect |
| 116. C241 | #1911 | semidirect |
| 124. H(3,ℤ/4) | D241 | semidirect |
| 175. C42 | C4×D241 | semidirect |
| 176. C42 | D964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29508286 | 2 |
| #29508191 | 2 |
| #29507735 | 2 |
| #29507733 | 2 |
| C2×#21440558 | 2 |
| #29507473 | 2 |
| H(3,ℤ/4)×C241 | 2 |
| #1911 | 241 |