Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
180 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 73 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. #15689201 | C2 | semidirect |
| 2. #15688876 | C2 | semidirect |
| 3. D4⋊(C47⋊C8) | C2 | semidirect |
| 4. C8×C47⋊C8 | C2 | semidirect |
| 39. C8×C47 | M16 | semidirect |
| 43. C47⋊C8 | D8 | semidirect |
| 64. C47 | #1589 | semidirect |
| 102. C8 | #10625329 | semidirect |