Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×#261 |
| unambiguous semidirect product | D13⋊(C4×Q8) |
| Fitting | C2×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
70 conjugacy classes — view the full character table.
| maximal subgroup of | #101×#261, #103×#261, #13130609, … |
| maximal normal subgroup of | #101×#261, #103×#261, #13130609, … |
| maximal quotient of | C2×C4⋊C4×#261, C4×Q8×#261, C2×#11719082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1592);