Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 3. #19098818 | C2 | direct (N × H) |
| 4. C2×#14579093 | C2 | semidirect |
| 5. C2×#14579085 | C2 | semidirect |
| 6. C22×Q16×C79 | C2 | semidirect |
| 16. #14579093 | C22 | semidirect |
| 17. #14579085 | C22 | semidirect |
| 20. C2×Q16×C79 | C22 | semidirect |
| 79. C2×C79 | #470 | semidirect |
| 84. C79 | C2×#470 | semidirect |
| 85. C22×Q16 | D79 | semidirect |
| 94. C2×Q16 | C2×D79 | semidirect |
| 164. C2 | #19098818 | direct (N × H) |