Finite Group DatabasebetaFinite Group Databasebeta| order | 16208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1013 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8104 |
Polycyclic presentation:
2^4,1013|a^2=c,c^2=d,b^a=bd,e^a=e^10124058 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44569568, #44569569, #44569570, … |
| maximal normal subgroup of | #44569568, #44569569, #44569570, … |
| maximal quotient of | #44569563, C22⋊#22549201, C4⋊#22549201, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16208, 24);