Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
164 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14579100 | C2 | semidirect |
| 3. Dic79⋊C16 | C2 | semidirect |
| 4. C22⋊(C79⋊C16) | C2 | semidirect |
| 5. (C2×D79)⋊C16 | C2 | semidirect |
| 6. #19098338 | C2 | semidirect |
| 7. C22×C16×C79 | C2 | semidirect |
| 39. C16×C79 | D4 | semidirect |
| 59. C22×C79 | M32 | semidirect |
| 76. C79 | #2168 | semidirect |
| 78. C22×C16 | D79 | semidirect |
| 115. C16 | C22⋊D79 | semidirect |
| 138. C22 | #14579100 | semidirect |