Finite Group DatabasebetaFinite Group Databasebeta| order | 16336 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1021 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8168 |
Polycyclic presentation:
2^4,1021|a^2=c,c^2=d,b^a=bd,e^a=e^374,e^b=e^1020,e^c=e^10201030 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45658019, #45658020, #45658025, … |
| maximal normal subgroup of | #45658019, #45658020, #45658025, … |
| maximal quotient of | #45658010, #45658012, C4⋊#22551053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16336, 50);