Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×C5×D20 |
| Fitting | C2×C42×C52 ⋊ C2 |
| Sylow | C52 ⋊ C2×C4×D4 |
960 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C4×#87877, C2×C5×#66051, C2×D202 |
| maximal normal subgroup of | C2×C4×#87877, C2×C5×#66051, C2×D202 |
| maximal quotient of | C5×#10610272 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 8979);