Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 3. C2×#14273648 | C2 | semidirect |
| 4. C2×#14273647 | C2 | semidirect |
| 5. #16837304 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C59×#390 | C2 | semidirect |
| 88. C2×C4×C59 | D8 | semidirect |
| 148. #390 | D59 | semidirect |
| 150. C59 | #2054 | semidirect |
| 238. C2×C4 | #11745669 | semidirect |