Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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×#13093968 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. C4⋊(C47⋊C16) | C2 | semidirect |
| 5. #15688926 | C2 | semidirect |
| 6. #15688923 | C2 | semidirect |
| 7. C4×D8×C47 | C2 | semidirect |
| 80. C4×D8 | D47 | semidirect |
| 84. C47 | #2210 | semidirect |