Finite Group DatabasebetaFinite Group Databasebeta| order | 640 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#64681 |
| Sylow | C5 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #11986129, #11986130, #11986136, … |
| maximal normal subgroup of | #11986129, #11986130, #11986136, … |
| maximal quotient of | C2×#10597928, C2×#10597929, #12008317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(640, 2615);