Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| isoclinism | isoclinic class of #90796 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C4 |
| direct product | C8×#90796 |
| Sylow | C29 ⋊ C8×M16 |
224 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1856 |
304 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 19710);