Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094024 | C2 | semidirect |
| 3. #15689483 | C2 | direct (N × H) |
| 4. C2×#13093949 | C2 | semidirect |
| 6. C2×#97×C47 | C2 | semidirect |
| 11. #13094024 | C22 | semidirect |
| 18. #13093949 | C22 | semidirect |
| 22. #97×C47 | C22 | semidirect |
| 83. C2×C47 | #489 | semidirect |
| 93. C2×#97 | D47 | semidirect |
| 94. C47 | C2×#489 | semidirect |
| 110. #97 | C2×D47 | semidirect |
| 171. C2 | #15689483 | direct (N × H) |