Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 15. #11718135 | C4 | direct (N × H) |
| 108. C4×C13 | #330 | semidirect |
| 156. C13 | C4×#330 | semidirect |
| 191. C4 | #11718135 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88043 | 2 |
| C2×#11718135 | 2 |
| #13112717 | 2 |
| C4×C13×#125 | 2 |
| C4×#330 | 13 |