Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
244 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 1. #20265734 | C2 | semidirect |
| 4. #20264949 | C2 | semidirect |
| 5. #20264937 | C2 | semidirect |
| 6. #20264934 | C2 | semidirect |
| 42. C2×Q8×C101 | Q8 | semidirect |
| 44. C2×D4×C101 | Q8 | semidirect |
| 102. C101 | #2031 | semidirect |
| 130. C2×Q8 | Dic202 | semidirect |
| 132. C2×D4 | Dic202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265734 | 2 |
| #20265194 | 2 |
| #20265151 | 2 |
| #20264949 | 2 |
| #20264937 | 2 |
| #20264934 | 2 |
| C2×#104×C101 | 2 |
| #2031 | 101 |