Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16812721 |
| Fitting | C22×C8×C109 ⋊ C2 |
| Sylow | C109 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28363358, #28363360, #28363918, … |
| maximal normal subgroup of | #28363358, #28363360, #28363918, … |
| maximal quotient of | C2×#20295023, C2×#20295064, C2×C4×D872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1331);