Finite Group DatabasebetaFinite Group Databasebeta| order | 16784 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1049 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8392 |
Polycyclic presentation:
2^4,1049|a^2=c,c^2=d,b^a=bd,e^a=e^623,e^c=e^10481058 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46777011, #46777012, C2×#30680925, … |
| maximal normal subgroup of | #46777011, #46777012, C2×#30680925, … |
| maximal quotient of | #46777006, C22⋊#22554216, #46777018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16784, 49);