Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
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×#14579192 | C2 | semidirect |
| 3. C2×#14579150 | C2 | semidirect |
| 4. C2×#14579087 | C2 | semidirect |
| 5. C2×#14579077 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #419×C79 | C2 | semidirect |
| 49. #11929608 | D4 | semidirect |
| 54. C4×Dic79 | D4 | semidirect |
| 60. C2×Q8×C79 | D4 | semidirect |
| 132. C79 | #2004 | semidirect |
| 137. #419 | D79 | semidirect |
| 172. C2×Q8 | D316 | semidirect |