Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20265213 | C2 | semidirect |
| 3. #20265195 | C2 | semidirect |
| 4. #20265194 | C2 | semidirect |
| 5. #20265150 | C2 | semidirect |
| 6. #20265133 | C2 | semidirect |
| 7. #410×C101 | C2 | semidirect |
| 13. C2×#13108064 | C4 | semidirect |
| 14. C2×#13108062 | C4 | semidirect |
| 15. C2×#13108061 | C4 | semidirect |
| 16. C2×#13108059 | C4 | semidirect |
| 133. C101 | #1976 | semidirect |
| 139. #410 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692275 | 2 |
| #20265213 | 2 |
| #20265195 | 2 |
| #20265194 | 2 |
| #20265150 | 2 |
| #20265133 | 2 |
| #410×C101 | 2 |
| #1976 | 101 |