Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579180 | C2 | semidirect |
| 2. #19099217 | C2 | semidirect |
| 3. #19098943 | C2 | semidirect |
| 4. #19098805 | C2 | semidirect |
| 5. #19098768 | C2 | semidirect |
| 6. #19098726 | C2 | semidirect |
| 7. C8×D316 | C2 | semidirect |
| 8. C4×D8×C79 | C2 | semidirect |
| 49. D8×C79 | D4 | semidirect |
| 85. C4×C79 | #135 | semidirect |
| 96. C79 | #3283 | semidirect |
| 103. C4×D8 | D79 | semidirect |
| 137. D8 | D316 | semidirect |
| 183. C4 | #14579180 | semidirect |