Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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×#14579093 | C2 | semidirect |
| 3. C2×#14579086 | C2 | semidirect |
| 5. #19098469 | C2 | semidirect |
| 7. C2×C4×C8×C79 | C2 | semidirect |
| 12. C2×#11929613 | C4 | semidirect |
| 64. C2×C4×C79 | SD16 | semidirect |
| 87. C8×C79 | C22⋊C4 | semidirect |
| 113. C79 | #1968 | semidirect |
| 118. C2×C4×C8 | D79 | semidirect |
| 192. C2×C4 | #11929613 | semidirect |
| 200. C8 | (C2×D79)⋊C4 | semidirect |