Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11758465 |
| Sylow | C31 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16846657, #16846661, #16846670, … |
| maximal normal subgroup of | #16846657, #16846661, #16846670, … |
| maximal quotient of | C2×#14520918, C2×#14520945, C2×#14520946, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1092);