Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
194 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 11. C4⋊#261 | C4 | semidirect |
| 13. C4×#261 | C4 | semidirect |
| 14. C13×C4⋊C4 | C4 | semidirect |
| 15. C4⋊Dic13 | C4 | semidirect |
| 16. #6101 | C4 | semidirect |
| 45. #261 | C4⋊C4 | direct (N × H) |
| 47. C4×C13 | C42 | semidirect |
| 49. Dic13 | C42 | semidirect |
| 70. C4⋊C4 | #261 | direct (N × H) |
| 73. C13 | C4×C4⋊C4 | semidirect |
| 105. C4 | C4×#261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#261 | 2 |
| C2×C4×#261 | 2 |
| C4⋊C4×D13 | 2 |
| (C2×#261)⋊C4 | 2 |
| C4×C4⋊C4 | 13 |