Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C13×C16 ⋊ C4 |
| Sylow | C13 ⋊ #365 |
42 conjugacy classes of subgroups.
| minimal degree | μ(G) = 29 |
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,d^2=e,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^8,c^b=cf,g^c=g^1264 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11718219, D13⋊#365, #13131183, … |
| maximal normal subgroup of | C2×#11718219, D13⋊#365, #13131183, … |
| maximal quotient of | #13129860, #13129862, #13129901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 185);