Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13093946 | C2 | semidirect |
| 3. #15688993 | C2 | semidirect |
| 4. C2×C4×C8×C47 | C2 | semidirect |
| 8. #13094021 | C4 | semidirect |
| 28. C2×C8×C47 | D4 | semidirect |
| 62. C4×C47 | #102 | semidirect |
| 75. C2×C4×C8 | D47 | semidirect |
| 77. C47 | #1957 | semidirect |
| 101. C2×C8 | D188 | semidirect |
| 136. C4 | #13093946 | semidirect |