Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14579137 | C2 | semidirect |
| 3. C2×#14579085 | C2 | semidirect |
| 4. C2×#14579082 | C2 | semidirect |
| 5. C2×(C2×D79)⋊C8 | C2 | semidirect |
| 6. #19098326 | C2 | semidirect |
| 7. C22×SD16×C79 | C2 | semidirect |
| 48. C4⋊Dic79 | D4 | semidirect |
| 58. C2×Q8×C79 | D4 | semidirect |
| 70. C2×C8×C79 | D4 | semidirect |
| 85. C22×D79 | SD16 | semidirect |
| 158. C79 | #2000 | semidirect |
| 159. C22×SD16 | D79 | semidirect |
| 194. C2×Q8 | C22⋊D79 | semidirect |
| 221. C2×C8 | C22⋊D79 | semidirect |