Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
872 conjugacy classes of subgroups; only the 275 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 275 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×Q8×Dic101 | C2 | semidirect |
| 3. #20265079 | C2 | semidirect |
| 4. #20265078 | C2 | semidirect |
| 5. #20265034 | C2 | semidirect |
| 6. C4×#13108051 | C2 | semidirect |
| 7. C2×C4×Q8×C101 | C2 | semidirect |
| 10. C2×#13108075 | C4 | semidirect |
| 57. Q8×C101 | C22⋊C4 | semidirect |
| 66. C2×C4×C101 | #41 | semidirect |
| 75. C2×Dic101 | #41 | semidirect |
| 107. C101 | #2341 | semidirect |
| 110. C2×C4×Q8 | D101 | semidirect |
| 164. Q8 | #13108051 | semidirect |
| 184. C2×C4 | #13108075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108075 | 2 |
| C2×Q8×Dic101 | 2 |
| #20265079 | 2 |
| #20265078 | 2 |
| #20265034 | 2 |
| C4×#13108051 | 2 |
| C2×C4×Q8×C101 | 2 |
| #2341 | 101 |