Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14579096 | C2 | semidirect |
| 3. #19098569 | C2 | semidirect |
| 4. #19098568 | C2 | semidirect |
| 5. C2×#14579077 | C2 | semidirect |
| 6. #19098521 | C2 | semidirect |
| 7. C2×#100×C79 | C2 | semidirect |
| 12. C2×#11929609 | C4 | semidirect |
| 112. C79 | #1978 | semidirect |
| 118. C2×#100 | D79 | semidirect |