Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #20265058 | C2 | semidirect |
| 4. #20265043 | C2 | semidirect |
| 6. C4⋊C4×Dic101 | C2 | semidirect |
| 7. #384×C101 | C2 | semidirect |
| 9. #15692212 | C4 | semidirect |
| 89. C101 | #2314 | semidirect |
| 93. #384 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692212 | 2 |
| #20265067 | 2 |
| #20265058 | 2 |
| #20265043 | 2 |
| #20265034 | 2 |
| C4⋊C4×Dic101 | 2 |
| #384×C101 | 2 |
| #2314 | 101 |