Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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. #15689253 | C2 | semidirect |
| 4. #15688876 | C2 | semidirect |
| 5. #15688855 | C2 | semidirect |
| 7. C47×#322 | C2 | semidirect |
| 58. C8×C47 | M16 | semidirect |
| 84. #322 | D47 | semidirect |
| 85. C47 | #1592 | semidirect |
| 138. C8 | #10625324 | semidirect |