Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=d,c^2=e,d^2=f,e^2=f,g^a=g^12,c^b=cf160 conjugacy classes — view the full character table.
| maximal subgroup of | #13114590, #13114592, #13114635, … |
| maximal normal subgroup of | #13114590, #13114592, #13114635, … |
| maximal quotient of | M16×#1055, #13113120, #13113123, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 749);