Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
644 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 209 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. #20265084 | C2 | semidirect |
| 4. #20265073 | C2 | semidirect |
| 5. #20265047 | C2 | semidirect |
| 7. C2×C4⋊Q8×C101 | C2 | semidirect |
| 32. C2×C4×D101 | Q8 | semidirect |
| 82. C2×D101 | C4⋊Q8 | semidirect |
| 85. C4×C101 | C22⋊Q8 | semidirect |
| 96. C101 | #2857 | semidirect |
| 97. C2×C4⋊Q8 | D101 | semidirect |
| 184. C4 | #15692231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692231 | 2 |
| C2×C42×D101 | 2 |
| #20265084 | 2 |
| #20265073 | 2 |
| #20265047 | 2 |
| #20265034 | 2 |
| C2×C4⋊Q8×C101 | 2 |
| #2857 | 101 |