Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×Dic31⋊C4 |
| Sylow | C31 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16845572, C8×Dic31⋊C4, #16845577, … |
| maximal normal subgroup of | #16845572, C8×Dic31⋊C4, #16845577, … |
| maximal quotient of | C4×C31⋊#95, #16843937, Dic31⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 402);