Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812623 |
| Sylow | C109 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#16812623, #103×Dic109, #28362862, … |
| maximal normal subgroup of | C4×#16812623, #103×Dic109, #28362862, … |
| maximal quotient of | C2×Q8⋊#11724784, #28361435, #28361461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 540);