Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D13 |
| Fitting | C22×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #13114758, #13114769, D13×#391, … |
| maximal normal subgroup of | #13114758, #13114769, D13×#391, … |
| maximal quotient of | C22×C4⋊C4×D13, C2×C4×Q8×D13, C22×#88141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1608);