Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 103 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×#11718840 | C2 | semidirect |
| 3. C2×#11718080 | C2 | semidirect |
| 4. #13112920 | C2 | semidirect |
| 5. C13×#1971 | C2 | semidirect |
| 27. C2×C13×Q16 | D4 | semidirect |
| 56. #88052 | D4 | semidirect |
| 106. #1971 | D13 | semidirect |
| 183. C2×Q16 | D52 | semidirect |
| 255. C13 | #13342 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13125282 | 2 |
| C2×#11718080 | 2 |
| #13112920 | 2 |
| C13×#1971 | 2 |
| #13342 | 13 |