Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13182018 |
| Fitting | C22×C8×C109 ⋊ C2 |
| Sylow | C109 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28363365, #28363367, #28363386, … |
| maximal normal subgroup of | #28363365, #28363367, #28363386, … |
| maximal quotient of | C22×#16812621, C22×#16812624, C22×#16812631, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1323);