Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
160 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 160 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 |
|---|---|---|
| 4. C13×C4⋊C16 | C2 | semidirect |
| 5. #11718093 | C2 | semidirect |
| 6. #11718093 | C2 | semidirect |
| 7. C4⋊#6090 | C2 | semidirect |
| 60. C4⋊C16 | D13 | semidirect |
| 107. C13 | #2151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88038 | 2 |
| C2×C16×D13 | 2 |
| #11718350 | 2 |
| C13×C4⋊C16 | 2 |
| #11718093 | 2 |
| C4⋊#6090 | 2 |
| #2151 | 13 |