Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#6101 |
| Sylow | C13 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13114697, C8×#6101, #13114702, … |
| maximal normal subgroup of | #13114697, C8×#6101, #13114702, … |
| maximal quotient of | C4×#88071, #13113062, #13113064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 558);