Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
158 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 27. C4⋊C4×C73 | C8 | semidirect |
| 72. C73 | #1271 | semidirect |
| 98. C4⋊C4 | #10596833 | semidirect |