Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16812614 |
| Sylow | C109 ⋊ C2×#99 |
210 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 71 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28361150, #28361151, #28361156, … |
| maximal normal subgroup of | #28361150, #28361151, #28361156, … |
| maximal quotient of | C2×#20294750, C2×#20294752, #28361350, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 520);