Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #20265084 | C2 | semidirect |
| 5. #20264939 | C2 | semidirect |
| 6. #20264931 | C2 | semidirect |
| 7. C2×#103×C101 | C2 | semidirect |
| 12. C2×#13108061 | C4 | semidirect |
| 42. C2×#11717579 | C2×C4 | semidirect |
| 53. C2×Q8×C101 | C2×C4 | semidirect |
| 94. C2×Dic101 | SD16 | semidirect |
| 134. C101 | #1877 | semidirect |
| 137. C2×#103 | D101 | semidirect |
| 166. C2×Q8 | C4×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108061 | 2 |
| C2×#15692217 | 2 |
| C2×#15692177 | 2 |
| #20265084 | 2 |
| #20264939 | 2 |
| #20264931 | 2 |
| C2×#103×C101 | 2 |
| #1877 | 101 |