Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 49 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×#13093965 | C2 | semidirect |
| 2. C2×C16×D47 | C2 | semidirect |
| 3. #15689360 | C2 | semidirect |
| 4. #15689356 | C2 | semidirect |
| 5. #15688948 | C2 | semidirect |
| 6. #15688925 | C2 | semidirect |
| 7. C47×#357 | C2 | semidirect |
| 39. C47⋊C16 | D4 | semidirect |
| 67. C2×D47 | D16 | semidirect |
| 86. #357 | D47 | semidirect |
| 87. C47 | #2215 | semidirect |