Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
108 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 35 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. #13094052 | C2 | semidirect |
| 2. #13094050 | C2 | semidirect |
| 3. C2×#10625334 | C2 | semidirect |
| 4. #13094032 | C2 | semidirect |
| 5. #13093959 | C2 | semidirect |
| 6. #13093940 | C2 | semidirect |
| 7. #100×C47 | C2 | semidirect |
| 54. C47 | #472 | semidirect |
| 61. #100 | D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13094052 | 2 |
| #13094050 | 2 |
| C2×#10625334 | 2 |
| #13094032 | 2 |
| #13093959 | 2 |
| #13093940 | 2 |
| #100×C47 | 2 |
| #472 | 47 |