Finite Group Databasebeta

← Group #7394

Character table — Group #7394

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25
size11222444488816161616161616161616161616
order1222222222442444444448888
χ11111111111111111111111111
χ211111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-11-1-11111-1-1-1-1
χ4111111111111-1-11-1-1-1-1-1-11111
χ51111111-1-1-1-1-1111-1-1ii−i−iii−i−i
χ61111111-1-1-1-1-1111-1-1−i−iii−i−iii
χ71111111-1-1-1-1-1-1-1111ii−i−i−i−iii
χ81111111-1-1-1-1-1-1-1111−i−iiiii−i−i
χ92222222222-2-200-20000000000
χ102222222-2-2-22200-20000000000
χ11222-2-22-20002i−2i000001+i−1−i1−i−1+i0000
χ12222-2-22-20002i−2i00000−1−i1+i−1+i1−i0000
χ13222-2-22-2000−2i2i000001−i−1+i1+i−1−i0000
χ14222-2-22-2000−2i2i00000−1+i1−i−1−i1+i0000
χ15222-2-2-2222-2000000000002−22−2
χ16222-2-2-2222-200000000000−22−22
χ17222-2-2-22-2-2200000000000i2−i2−i2i2
χ18222-2-2-22-2-2200000000000−i2i2i2−i2
χ1944444-4-4000000000000000000
χ2044-44-400000000002-200000000
χ2144-44-40000000000-2200000000
χ2244-4-4400000002-200000000000
χ2344-4-440000000-2200000000000
χ248-8000004-40000000000000000
χ258-800000-440000000000000000

Here i is the imaginary unit (i² = −1).