Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 3. C2×C4×#6090 | C2 | semidirect |
| 4. #13112933 | C2 | semidirect |
| 5. C4×C13×#108 | C2 | semidirect |
| 18. #11718089 | C4 | direct (N × H) |
| 37. C13×#108 | C2×C4 | semidirect |
| 48. C2×#6090 | C2×C4 | semidirect |
| 86. C4×#108 | D13 | semidirect |
| 131. C4×C13 | #359 | semidirect |
| 157. #108 | C4×D13 | semidirect |
| 203. C13 | C4×#359 | semidirect |
| 235. C4 | #11718089 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88158 | 2 |
| C2×#11718089 | 2 |
| C2×C4×#6090 | 2 |
| #13112933 | 2 |
| C4×C13×#108 | 2 |
| C4×#359 | 13 |