Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
224 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 89 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×#14579101 | C2 | semidirect |
| 2. #19098601 | C2 | semidirect |
| 3. #19098373 | C2 | semidirect |
| 7. #14579101 | C22 | semidirect |
| 10. #14579093 | C22 | semidirect |
| 14. #135×C79 | C4 | semidirect |
| 16. C2×Q16×C79 | C4 | semidirect |
| 18. C2×D8×C79 | C4 | semidirect |
| 85. C79 | #2145 | semidirect |
| 93. #135 | Dic79 | semidirect |
| 95. C2×Q16 | Dic79 | semidirect |
| 97. C2×D8 | Dic79 | semidirect |