Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#6099 |
| Sylow | C13 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13112672, #13112673, #13112685, … |
| maximal normal subgroup of | #13112672, #13112673, #13112685, … |
| maximal quotient of | C8×#6099, #13113125, #13113133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 549);