Finite Group DatabasebetaFinite Group Databasebeta| order | 16784 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C1049 ⋊ C4⋊C4 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16784 |
Polycyclic presentation:
2^4,1049|a^2=d,b^2=c,b^a=bc,e^b=e^10484202 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C4×D1049, C2×#30680895, #46776907, … |
| maximal normal subgroup of | C4⋊C4×D1049, C2×#30680895, #46776907, … |
| maximal quotient of | #46776858, #46776880, #46776882, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16784, 19);