Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
174 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 79 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. C22×C79⋊C16 | C2 | semidirect |
| 2. C2×C16×D79 | C2 | semidirect |
| 4. Dic79⋊C16 | C2 | semidirect |
| 5. (C2×D79)⋊C16 | C2 | semidirect |
| 6. C16×Dic79 | C2 | semidirect |
| 7. C22⋊C16×C79 | C2 | semidirect |
| 32. C79⋊C16 | D4 | semidirect |
| 46. C22⋊D79 | C16 | semidirect |
| 59. C22×C79 | C2×C16 | semidirect |
| 63. C2×D79 | C2×C16 | semidirect |
| 69. Dic79 | C2×C16 | semidirect |
| 76. C79 | D4×C16 | semidirect |
| 82. C22⋊C16 | D79 | semidirect |
| 138. C22 | C16×D79 | semidirect |