Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic13 |
| Sylow | C13 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13112682, #13112683, #13112688, … |
| maximal normal subgroup of | #13112682, #13112683, #13112688, … |
| maximal quotient of | C4×#88071, #13113059, #13113063, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 836);