Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#13093969 | C2 | semidirect |
| 2. C2×#13093968 | C2 | semidirect |
| 3. C2×#13093965 | C2 | semidirect |
| 4. #15689506 | C2 | semidirect |
| 5. #15689498 | C2 | semidirect |
| 6. #15688898 | C2 | semidirect |
| 7. C2×D16×C47 | C2 | semidirect |
| 42. C16×C47 | D4 | semidirect |
| 43. C47⋊C16 | D4 | semidirect |
| 82. C2×D16 | D47 | semidirect |
| 86. C47 | #2250 | semidirect |
| 122. C16 | C22⋊D47 | semidirect |