Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#10625350 | C2 | semidirect |
| 3. #15689139 | C2 | semidirect |
| 4. #15689097 | C2 | semidirect |
| 5. #15688894 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 7. C2×#104×C47 | C2 | semidirect |
| 9. #13094055 | C4 | semidirect |
| 11. #13094050 | C4 | semidirect |
| 33. C2×Q8×C47 | C2×C4 | semidirect |
| 35. C2×D4×C47 | C2×C4 | semidirect |
| 68. #10625329 | C2×C4 | semidirect |
| 133. C2×#104 | D47 | semidirect |
| 137. C47 | #1906 | semidirect |
| 168. C2×Q8 | C4×D47 | semidirect |
| 172. C2×D4 | C4×D47 | semidirect |