Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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. #20265220 | C2 | semidirect |
| 4. #20265217 | C2 | semidirect |
| 5. #20265213 | C2 | semidirect |
| 6. C2×#15692186 | C2 | semidirect |
| 8. #15692262 | C4 | semidirect |
| 26. #13108058 | C2×C4 | semidirect |
| 27. C2×#11717579 | C2×C4 | semidirect |
| 77. C101 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692262 | 2 |
| #20265660 | 2 |
| #20265220 | 2 |
| #20265217 | 2 |
| #20265213 | 2 |
| C2×#15692186 | 2 |
| #520×C101 | 2 |
| #2912 | 101 |