Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16812718 |
| Fitting | C2×D8×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
784 conjugacy classes — view the full character table.
| maximal subgroup of | #28364736, #28364741, #28364778, … |
| maximal normal subgroup of | #28364736, #28364741, #28364778, … |
| maximal quotient of | C2×#20295019, C2×#20295063, C2×D8×Dic109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1328);