Finite Group DatabasebetaFinite Group DatabasebetaOrder 12416.
158 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 26. C4⋊Dic97 | C8 | semidirect |
| 28. C4⋊C4×C97 | C8 | semidirect |
| 75. C97 | #1271 | semidirect |
| 102. C4⋊C4 | #11715906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#11715906)⋊C4 | 2 |
| #20261686 | 2 |
| #1271 | 97 |