Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
190 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16837429 | C2 | semidirect |
| 5. #16837172 | C2 | semidirect |
| 6. #16837166 | C2 | semidirect |
| 7. C59×H(3,ℤ/4) | C2 | semidirect |
| 96. H(3,ℤ/4) | D59 | semidirect |
| 97. C59 | #2080 | semidirect |