Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,d^2=f,b^a=be,g^a=g^12232 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#336, C2×#11718142, #13114528, … |
| maximal normal subgroup of | D13×#336, C2×#11718142, #13114528, … |
| maximal quotient of | #13112663, #13112664, #13112666, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 108);