Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
406 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14273753 | C2 | semidirect |
| 2. #16837980 | C2 | semidirect |
| 3. C2×#14273654 | C2 | semidirect |
| 4. C2×#14273653 | C2 | semidirect |
| 5. #16837305 | C2 | semidirect |
| 6. #16837170 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 44. C2×D4×C59 | D4 | semidirect |
| 61. M16×C59 | D4 | semidirect |
| 74. #11745664 | D4 | semidirect |
| 154. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 160. C59 | #2006 | semidirect |
| 205. C2×D4 | C22⋊D59 | semidirect |
| 218. M16 | C22⋊D59 | semidirect |