Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14579087 | C2 | semidirect |
| 3. C4×C4⋊Dic79 | C2 | semidirect |
| 4. C4×M16×C79 | C2 | semidirect |
| 6. #14579161 | C4 | semidirect |
| 7. #14579158 | C4 | semidirect |
| 8. #14579149 | C4 | semidirect |
| 40. M16×C79 | D4 | semidirect |
| 81. C4×C79 | #104 | semidirect |
| 93. C79 | #1980 | semidirect |
| 96. C4×M16 | D79 | semidirect |
| 127. M16 | D316 | semidirect |
| 176. C4 | #14579087 | semidirect |