Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
348 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14523974 | C2 | semidirect |
| 3. C2×#14523966 | C2 | semidirect |
| 5. C2×C4×C67⋊C8 | C2 | semidirect |
| 6. #16863302 | C2 | semidirect |
| 11. C2×#11761616 | C4 | semidirect |
| 70. C2×C4×C67 | SD16 | semidirect |
| 87. C67⋊C8 | C22⋊C4 | semidirect |
| 113. C67 | #1968 | semidirect |
| 192. C2×C4 | #11761616 | semidirect |