Finite Group DatabasebetaFinite Group DatabasebetaOrder 3008.
162 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 55 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×#10625324 | C2 | semidirect |
| 3. C4⋊C4×D47 | C2 | semidirect |
| 4. #13093948 | C2 | semidirect |
| 5. #13093946 | C2 | semidirect |
| 6. #13093944 | C2 | semidirect |
| 7. #103×C47 | C2 | semidirect |
| 10. #10625354 | C4 | semidirect |
| 25. Q8×C47 | C2×C4 | semidirect |
| 33. D188 | C2×C4 | semidirect |
| 59. C47 | #417 | semidirect |
| 64. #103 | D47 | semidirect |
| 84. Q8 | C4×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×#10625324 | 2 |
| C4⋊C4×D47 | 2 |
| #13093948 | 2 |
| #13093946 | 2 |
| #13093944 | 2 |
| #103×C47 | 2 |
| #417 | 47 |