Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
|---|---|---|
| 2. #13129676 | C2 | semidirect |
| 63. C2×C8×C13 | M16 | semidirect |
| 76. C2×#1055 | M16 | semidirect |
| 188. C2×C8 | #6118 | semidirect |
| 199. C13 | #7919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131513 | 2 |
| #13129676 | 2 |
| C2×D13×#97 | 2 |
| #7919 | 13 |