Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic31⋊C8 |
| Sylow | C31 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16843650, #16845559, C4×Dic31⋊C8, … |
| maximal normal subgroup of | #16843650, #16845559, C4×Dic31⋊C8, … |
| maximal quotient of | C2×#14520799, C2×#14520801, #16844457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 569);