Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#107 ⋊ C2 |
| Sylow | C13 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=e,c^2=e,d^2=f,g^a=g^12,c^b=cd,d^b=df,d^c=df112 conjugacy classes — view the full character table.
| maximal subgroup of | #13116680, #13116682, #13116685, … |
| maximal normal subgroup of | #13116680, #13116682, #13116685, … |
| maximal quotient of | #13113630, #13113664, #13113720, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 499);