Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16812619 |
| Fitting | C2×C4⋊C4×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28362846, C4×#16812619, #28362856, … |
| maximal normal subgroup of | #28362846, C4×#16812619, #28362856, … |
| maximal quotient of | C2×#20294753, #28361430, #28361456, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 535);