Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#11761628 | C2 | semidirect |
| 3. #16863412 | C2 | semidirect |
| 4. #16863370 | C2 | semidirect |
| 5. #16863167 | C2 | semidirect |
| 6. #16863156 | C2 | semidirect |
| 7. C2×#104×C67 | C2 | semidirect |
| 9. #14524074 | C4 | semidirect |
| 11. #14524069 | C4 | semidirect |
| 43. #11761612 | C2×C4 | semidirect |
| 58. C2×Q8×C67 | C2×C4 | semidirect |
| 60. C2×D4×C67 | C2×C4 | semidirect |
| 130. C67 | #1906 | semidirect |
| 134. C2×#104 | D67 | semidirect |
| 168. C2×Q8 | C4×D67 | semidirect |
| 172. C2×D4 | C4×D67 | semidirect |