Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
736 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 309 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. C2×#13093943 | C2 | direct (N × H) |
| 7. #13093943 | C22 | direct (N × H) |
| 49. C22×C47 | #101 | semidirect |
| 59. C2×C47 | C2×#101 | semidirect |
| 64. C47 | C22×#101 | semidirect |
| 110. C22 | #13093943 | direct (N × H) |
| 119. C2 | C2×#13093943 | direct (N × H) |