Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×C22⋊D13 |
| Fitting | C22×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C8×D4 |
134 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13116653, C16×C22⋊D13, #13116658, … |
| maximal normal subgroup of | #13116653, C16×C22⋊D13, #13116658, … |
| maximal quotient of | C8×#6104, C8×#6105, C8×#6106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 736);