Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C13×#103 ⋊ C2 |
| Sylow | C13 ⋊ #488 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=e,c^2=f,d^2=f,b^a=bef,c^a=cef,g^a=g^12,c^b=cd,d^b=df,d^c=df106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#488, C2×#11718461, #13125156, … |
| maximal normal subgroup of | D13×#488, C2×#11718461, #13125156, … |
| maximal quotient of | #13114965, #13115509, #13115514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 427);