Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic13 |
| Sylow | C13 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13113065, #13113066, #13113070, … |
| maximal normal subgroup of | #13113065, #13113066, #13113070, … |
| maximal quotient of | C22×#88071, C2×C4×C4⋊Dic13, C2×#11718873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1456);