Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
828 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 828 conjugacy classes of subgroups — too many to draw. Only its 137 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×#11718676 | C2 | semidirect |
| 2. #13115641 | C2 | semidirect |
| 3. C2×D4⋊#1055 | C2 | semidirect |
| 4. #13112719 | C2 | semidirect |
| 5. C13×#2537 | C2 | semidirect |
| 44. #88128 | D4 | semidirect |
| 49. C4⋊#1055 | D4 | semidirect |
| 61. C2×D4×C13 | D8 | semidirect |
| 101. #2537 | D13 | semidirect |
| 246. C2×D4 | #6104 | semidirect |
| 275. C13 | #10228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718676 | 2 |
| #13115641 | 2 |
| C2×D4⋊#1055 | 2 |
| #13112719 | 2 |
| C13×#2537 | 2 |
| #10228 | 13 |