Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
592 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14579086 | C2 | semidirect |
| 3. C2×#14579085 | C2 | semidirect |
| 4. C2×#14579084 | C2 | semidirect |
| 7. C2×#103×C79 | C2 | semidirect |
| 15. C2×Q8×D79 | C4 | semidirect |
| 87. Q8×C79 | C22⋊C4 | semidirect |
| 118. Dic158 | C22⋊C4 | semidirect |
| 134. C2×D79 | #103 | semidirect |
| 153. C79 | #1787 | semidirect |
| 158. C2×#103 | D79 | semidirect |
| 245. Q8 | (C2×D79)⋊C4 | semidirect |