Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. C2×#14273653 | C2 | semidirect |
| 3. C4×C4⋊Dic59 | C2 | semidirect |
| 4. C4×M16×C59 | C2 | semidirect |
| 6. #14273727 | C4 | semidirect |
| 7. #14273724 | C4 | semidirect |
| 8. #14273715 | C4 | semidirect |
| 34. M16×C59 | D4 | semidirect |
| 81. C4×C59 | #104 | semidirect |
| 95. C4×M16 | D59 | semidirect |
| 97. C59 | #1980 | semidirect |
| 127. M16 | D236 | semidirect |
| 176. C4 | #14273653 | semidirect |