Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
572 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 173 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×#13094046 | C2 | semidirect |
| 2. #15689673 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. #15689503 | C2 | semidirect |
| 5. #15689500 | C2 | semidirect |
| 6. #15689496 | C2 | semidirect |
| 7. C2×C4×C8×C47 | C2 | semidirect |
| 31. C2×C8×C47 | D4 | semidirect |
| 65. C4×C47 | #135 | semidirect |
| 79. C2×C4×C8 | D47 | semidirect |
| 80. C47 | #3147 | semidirect |
| 107. C2×C8 | D188 | semidirect |
| 139. C4 | #13094046 | semidirect |