Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14579192 | C2 | semidirect |
| 3. C2×#14579088 | C2 | semidirect |
| 4. C2×#14579087 | C2 | semidirect |
| 5. #19098470 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. C2×#137×C79 | C2 | semidirect |
| 45. #11929608 | D4 | semidirect |
| 64. C2×Q8×C79 | D4 | semidirect |
| 73. M16×C79 | D4 | semidirect |
| 145. C79 | #2007 | semidirect |
| 147. C2×#137 | D79 | semidirect |
| 191. C2×Q8 | C22⋊D79 | semidirect |
| 210. M16 | C22⋊D79 | semidirect |