Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#6107 |
| Sylow | C13 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #13113640, C8×#6107, #13113652, … |
| maximal normal subgroup of | #13113640, C8×#6107, #13113652, … |
| maximal quotient of | C8×#6107, #13113684, #13113686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 656);