Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C13 ⋊ C4 |
| Sylow | C13 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,d^2=f,e^2=f,b^a=be,d^a=df,g^a=g^8,c^b=cf,g^c=g^1270 conjugacy classes — view the full character table.
| maximal subgroup of | #13129806, #13129807, #13129808, … |
| maximal normal subgroup of | #13129806, #13129807, #13129808, … |
| maximal quotient of | #13129659, #13129662, #13129685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 233);