Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
114 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 31 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. #15688905 | C2 | semidirect |
| 3. C47×H(3,ℤ/4) | C2 | semidirect |
| 4. C2×D376 | C4 | semidirect |
| 7. #13093956 | C4 | semidirect |
| 55. H(3,ℤ/4) | D47 | semidirect |
| 56. C47 | #1339 | semidirect |