Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D496 |
| Fitting | C2×C16×C31 ⋊ C2 |
| Sylow | C31 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16843888, #16843890, #16843900, … |
| maximal normal subgroup of | #16843888, #16843890, #16843900, … |
| maximal quotient of | C2×#14520851, C2×#14520875, C4×D496, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 970);