Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
394 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14524073 | C2 | semidirect |
| 3. C2×#14524031 | C2 | semidirect |
| 4. #16863406 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863156 | C2 | semidirect |
| 7. C2×#104×C67 | C2 | semidirect |
| 35. C2×Dic134 | D4 | semidirect |
| 47. #11761612 | D4 | semidirect |
| 68. C42×C67 | D4 | semidirect |
| 132. C67 | #2004 | semidirect |
| 136. C2×#104 | D67 | semidirect |
| 200. C42 | C22⋊D67 | semidirect |