Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 2. C2×C4×Dic202 | C2 | semidirect |
| 3. C2×#15692180 | C2 | semidirect |
| 6. #20264940 | C2 | semidirect |
| 7. #336×C101 | C2 | semidirect |
| 12. C2×#13108063 | C4 | semidirect |
| 75. C2×C4×C101 | SD16 | semidirect |
| 98. Dic202 | C22⋊C4 | semidirect |
| 133. C101 | #1880 | semidirect |
| 140. #336 | D101 | semidirect |
| 225. C2×C4 | #13108063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108063 | 2 |
| C2×C4×Dic202 | 2 |
| C2×#15692180 | 2 |
| C2×#15692177 | 2 |
| #20265079 | 2 |
| #20264940 | 2 |
| #336×C101 | 2 |
| #1880 | 101 |