Finite Group DatabasebetaFinite Group Databasebeta| order | 16784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2098 |
| unambiguous semidirect product | (C2×C1049)⋊Q8 |
| Sylow | C1049 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16784 |
4202 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46776869, #46776874, #46776876, … |
| maximal normal subgroup of | #46776869, #46776874, #46776876, … |
| maximal quotient of | C2×#30680895, C2×C4⋊Dic1049, C4×Dic2098, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16784, 38);