Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#11716870 |
| Sylow | C52 ⋊ C2×#97 |
584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#13104688 |
| maximal normal subgroup of | C2×#13104688 |
| maximal quotient of | C2×#13100238, C2×#13100267 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 7111);