Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #15689604 | C2 | semidirect |
| 3. C2×#13093952 | C2 | semidirect |
| 4. #15689128 | C2 | semidirect |
| 5. #15688892 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 7. C47×#390 | C2 | semidirect |
| 10. #13094050 | C4 | semidirect |
| 34. C2×D4×C47 | C2×C4 | semidirect |
| 64. #10625329 | C2×C4 | semidirect |
| 95. D188 | C22⋊C4 | semidirect |
| 100. Dic94 | C22⋊C4 | semidirect |
| 137. #390 | D47 | semidirect |
| 140. C47 | #1883 | semidirect |
| 174. C2×D4 | C4×D47 | semidirect |