Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #16837426 | C2 | semidirect |
| 3. C2×#14273645 | C2 | semidirect |
| 5. C4×M16×C59 | C2 | semidirect |
| 85. C4×M16 | D59 | semidirect |
| 86. C59 | #1967 | semidirect |