Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
166 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 166 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. Q8×C59⋊C8 | C2 | semidirect |
| 3. #16837153 | C2 | semidirect |
| 4. Q8⋊(C59⋊C8) | C2 | semidirect |
| 6. #16837124 | C2 | semidirect |
| 43. Q8×C59 | M16 | semidirect |
| 60. C59⋊C8 | SD16 | semidirect |
| 85. C59 | #1583 | semidirect |
| 121. Q8 | #11745664 | semidirect |