Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11745209 |
| unambiguous semidirect product | D29⋊#106 |
| Fitting | C2×C8×C29 ⋊ C4 |
| Sylow | C29 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16834557, #16834558, #16834563, … |
| maximal normal subgroup of | #16834557, #16834558, #16834563, … |
| maximal quotient of | C2×#14272024, D29⋊#334, C2×#14272025, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1557);