Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
256 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14273667 | C2 | semidirect |
| 2. C2×#14273663 | C2 | semidirect |
| 3. #16837215 | C2 | direct (N × H) |
| 7. #14273667 | C22 | semidirect |
| 10. #14273663 | C22 | semidirect |
| 77. C2×C59 | #361 | semidirect |
| 83. C59 | C2×#361 | semidirect |
| 155. C2 | #16837215 | direct (N × H) |