Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#10625336 | C2 | semidirect |
| 3. #13094000 | C2 | semidirect |
| 4. #13093948 | C2 | semidirect |
| 5. #13093946 | C2 | semidirect |
| 6. (C2×D47)⋊C8 | C2 | semidirect |
| 7. C2×Q16×C47 | C2 | semidirect |
| 61. C47 | #452 | semidirect |
| 63. C2×Q16 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625354 | 2 |
| C2×#10625336 | 2 |
| #13094000 | 2 |
| #13093948 | 2 |
| #13093946 | 2 |
| (C2×D47)⋊C8 | 2 |
| C2×Q16×C47 | 2 |
| #452 | 47 |