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×#14524074 | C2 | semidirect |
| 3. C2×#14524032 | C2 | semidirect |
| 4. C2×#14523969 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863155 | C2 | semidirect |
| 7. #419×C67 | C2 | semidirect |
| 49. #11761612 | D4 | semidirect |
| 54. C4×Dic67 | D4 | semidirect |
| 60. C2×Q8×C67 | D4 | semidirect |
| 132. C67 | #2004 | semidirect |
| 137. #419 | D67 | semidirect |
| 172. C2×Q8 | D268 | semidirect |