Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 2. #19099004 | C2 | direct (N × H) |
| 3. C2×#14579107 | C2 | semidirect |
| 4. C2×#14579104 | C2 | semidirect |
| 5. C2×#14579101 | C2 | semidirect |
| 6. C22×Q16×C79 | C2 | semidirect |
| 13. #14579107 | C22 | semidirect |
| 14. #14579104 | C22 | semidirect |
| 15. #14579101 | C22 | semidirect |
| 21. C2×Q16×C79 | C22 | semidirect |
| 80. C2×C79 | #510 | semidirect |
| 84. C79 | C2×#510 | semidirect |
| 86. C22×Q16 | D79 | semidirect |
| 99. C2×Q16 | C2×D79 | semidirect |
| 165. C2 | #19099004 | direct (N × H) |