Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 2. C2×#14579088 | C2 | semidirect |
| 3. #19098567 | C2 | semidirect |
| 4. #19098464 | C2 | semidirect |
| 5. #19098332 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #520×C79 | C2 | semidirect |
| 10. #14579186 | C4 | semidirect |
| 34. C2×D316 | C2×C4 | semidirect |
| 41. #11929608 | C2×C4 | semidirect |
| 75. Q8×C79 | C22⋊C4 | semidirect |
| 79. D4×C79 | C22⋊C4 | semidirect |
| 133. C79 | #1883 | semidirect |
| 135. #520 | D79 | semidirect |
| 208. Q8 | (C2×D79)⋊C4 | semidirect |
| 216. D4 | (C2×D79)⋊C4 | semidirect |