Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14579085 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098318 | C2 | semidirect |
| 7. C2×C4×Q8×C79 | C2 | semidirect |
| 11. C2×#11929611 | C4 | semidirect |
| 73. Q8×C79 | C22⋊C4 | semidirect |
| 85. C2×C4×C79 | SD16 | semidirect |
| 133. C79 | #1880 | semidirect |
| 135. C2×C4×Q8 | D79 | semidirect |
| 206. Q8 | (C2×D79)⋊C4 | semidirect |
| 225. C2×C4 | #11929611 | semidirect |