Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C13×#97 ⋊ C2 |
| Sylow | C13 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=d,d^2=f,c^a=cf,g^a=g^12,c^b=cf160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113421, #13113423, #13113426, … |
| maximal normal subgroup of | #13113421, #13113423, #13113426, … |
| maximal quotient of | #13113115, #13113124, #13113132, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 334);