Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
372 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 109 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×#15692184 | C2 | semidirect |
| 5. #20265046 | C2 | semidirect |
| 6. #20264939 | C2 | semidirect |
| 7. #340×C101 | C2 | semidirect |
| 12. #15692217 | C4 | semidirect |
| 89. D404 | C4⋊C4 | semidirect |
| 115. Dic101 | #102 | semidirect |
| 125. C101 | #1802 | semidirect |
| 132. #340 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692217 | 2 |
| C2×#15692184 | 2 |
| C2×#15692177 | 2 |
| C2×#15692175 | 2 |
| #20265046 | 2 |
| #20264939 | 2 |
| #340×C101 | 2 |
| #1802 | 101 |