Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
340 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14273661 | C2 | semidirect |
| 2. C2×#14273651 | C2 | semidirect |
| 4. C2×#14273637 | C2 | semidirect |
| 5. #16837309 | C2 | semidirect |
| 22. C2×SD16×C59 | C4 | semidirect |
| 86. C8×C59 | C22⋊C4 | semidirect |
| 120. C59 | #1973 | semidirect |
| 125. C2×SD16 | Dic59 | semidirect |
| 200. C8 | C22⋊Dic59 | semidirect |