Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13182017 |
| Sylow | C109 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28363364, #28363366, #28363384, … |
| maximal normal subgroup of | #28363364, #28363366, #28363384, … |
| maximal quotient of | C22×#16812620, C22×#16812622, C22×#16812630, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1322);