Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16837837 | C2 | semidirect |
| 2. C2×#14273670 | C2 | semidirect |
| 3. #16837672 | C2 | semidirect |
| 4. #16837218 | C2 | semidirect |
| 5. #16837209 | C2 | semidirect |
| 6. #16837186 | C2 | semidirect |
| 7. C59×#578 | C2 | semidirect |
| 91. #578 | D59 | semidirect |
| 98. C59 | #2193 | semidirect |