Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
174 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 51 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×C16×D59 | C2 | semidirect |
| 2. #16837635 | C2 | semidirect |
| 3. #16837228 | C2 | semidirect |
| 4. #16837203 | C2 | semidirect |
| 5. C2×D16×C59 | C2 | semidirect |
| 26. C16×C59 | D4 | semidirect |
| 47. C2×D59 | D16 | semidirect |
| 58. C2×D16 | D59 | semidirect |
| 63. C59 | #2215 | semidirect |
| 85. C16 | C22⋊D59 | semidirect |