Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×D8 ⋊ C4 |
| Sylow | C13 ⋊ #357 |
66 conjugacy classes of subgroups.
| minimal degree | μ(G) = 29 |
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,d^2=ef,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^8,d^b=de,e^b=ef,g^c=g^1243 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11718276, #13131143, #13131144, … |
| maximal normal subgroup of | C2×#11718276, #13131143, #13131144, … |
| maximal quotient of | #13129790, #13129791, #13129822, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 242);