Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
848 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 848 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13093946 | C2 | semidirect |
| 3. C2×#13093945 | C2 | semidirect |
| 4. C2×#13093944 | C2 | semidirect |
| 5. C2×(C2×D47)⋊C8 | C2 | semidirect |
| 6. #15688980 | C2 | semidirect |
| 7. C2×#102×C47 | C2 | semidirect |
| 16. C2×D4×D47 | C4 | semidirect |
| 18. C22×C47⋊C8 | C22 | semidirect |
| 19. C2×C4⋊Dic47 | C22 | semidirect |
| 27. C22×C8×C47 | C22 | semidirect |
| 28. C2×C4⋊C4×C47 | C22 | semidirect |
| 112. D4×C47 | C22⋊C4 | semidirect |
| 132. D188 | C22⋊C4 | semidirect |
| 167. C2×D47 | #102 | semidirect |
| 190. C2×#102 | D47 | semidirect |
| 193. C47 | #1786 | semidirect |
| 206. C22×C8 | C2×D47 | semidirect |
| 208. C2×C4⋊C4 | C2×D47 | semidirect |
| 303. D4 | (C2×D47)⋊C4 | semidirect |