Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 1. C2×#14273658 | C2 | semidirect |
| 2. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C59×#389 | C2 | semidirect |
| 125. #389 | D59 | semidirect |
| 127. C59 | #2065 | semidirect |