Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
144 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 45 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. #15689539 | C2 | semidirect |
| 3. #15689399 | C2 | semidirect |
| 5. #15688938 | C2 | semidirect |
| 6. #15688935 | C2 | semidirect |
| 7. C47×#368 | C2 | semidirect |
| 76. #368 | D47 | semidirect |
| 79. C47 | #2223 | semidirect |