Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic29 |
| Sylow | C29 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×Dic29, #16819304, #16819510, … |
| maximal normal subgroup of | #104×Dic29, #16819304, #16819510, … |
| maximal quotient of | #117×Dic29, C4×D4×Dic29, C4×Q8×Dic29, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1020);