Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #16837779 | C2 | semidirect |
| 3. #16837223 | C2 | semidirect |
| 4. #16837214 | C2 | semidirect |
| 5. C59×#443 | C2 | semidirect |
| 20. Q16×C59 | D4 | semidirect |
| 22. D8×C59 | D4 | semidirect |
| 64. #443 | D59 | semidirect |
| 67. C59 | #2213 | semidirect |
| 82. Q16 | D236 | semidirect |
| 88. D8 | D236 | semidirect |