Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16812768 |
| unambiguous semidirect product | D109⋊#107 |
| Fitting | C2×C8×C109 ⋊ C4 |
| Sylow | C109 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
460 conjugacy classes — view the full character table.
| maximal subgroup of | #28378089, #28378090, #28378107, … |
| maximal normal subgroup of | #28378089, #28378090, #28378107, … |
| maximal quotient of | C2×#20295889, D109⋊#335, C2×#20295890, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1558);