Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #359 |
56 conjugacy classes of subgroups.
| minimal degree | μ(G) = 45 |
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=f,c^2=f,d^2=ef,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^8,d^b=de,e^b=ef,g^c=g^1243 conjugacy classes — view the full character table.
| maximal subgroup of | D13⋊#359, C2×#11718281, #13131150, … |
| maximal normal subgroup of | D13⋊#359, C2×#11718281, #13131150, … |
| maximal quotient of | #13129791, #13129792, #13129827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 247);