Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 1. C2×#14273734 | C2 | semidirect |
| 2. #16837403 | C2 | semidirect |
| 3. C2×#14273648 | C2 | semidirect |
| 4. C2×#14273644 | C2 | semidirect |
| 5. #16837170 | C2 | semidirect |
| 6. #16837166 | C2 | semidirect |
| 24. AGL(1,ℤ/8)×C59 | C4 | semidirect |
| 131. C59 | #1907 | semidirect |
| 135. AGL(1,ℤ/8) | Dic59 | semidirect |