Finite Group Databasebeta

← Group #3030

Character table — Group #3030

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11112222444444444881111222244444444488
order12224444224448888442222444422444888844
χ111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ311111111-1-11-1-11111-1-111111111-1-11-1-11111-1-1
χ411111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111
χ51111-1-11111-1-1-111-1-11-11111-1-11111-1-1-111-1-11-1
χ61111-1-11111-1-1-1-1-111-111111-1-11111-1-1-1-1-111-11
χ71111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11
χ81111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1
χ9222222-2-200-200000000222222-2-200-200000000
χ102222-2-2-2-2002000000002222-2-2-2-200200000000
χ112-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i200
χ122-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i200
χ132-22-2-220000000i2−i2−i2i2002-22-2-220000000i2−i2−i2i200
χ142-22-2-220000000−i2i2i2−i2002-22-2-220000000−i2i2i2−i200
χ152-2-22002-20002i−2i0000002-2-22002-20002i−2i000000
χ162-2-22002-2000−2i2i0000002-2-22002-2000−2i2i000000
χ172-2-2200-222-20000000002-2-2200-222-2000000000
χ182-2-2200-22-220000000002-2-2200-22-22000000000
χ1944-4-400000000000000044-4-4000000000000000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ2211111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ2311111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1
χ241111-1-11111-1-1-111-1-11-1-1-1-1-111-1-1-1-1111-1-111-11
χ251111-1-11111-1-1-1-1-111-11-1-1-1-111-1-1-1-111111-1-11-1
χ261111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-1
χ271111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-11
χ28222222-2-200-200000000-2-2-2-2-2-22200200000000
χ292222-2-2-2-200200000000-2-2-2-2222200-200000000
χ302-22-22-20000000i2−i2i2−i200-22-22-220000000−i2i2−i2i200
χ312-22-22-20000000−i2i2−i2i200-22-22-220000000i2−i2i2−i200
χ322-22-2-220000000i2−i2−i2i200-22-222-20000000−i2i2i2−i200
χ332-22-2-220000000−i2i2i2−i200-22-222-20000000i2−i2−i2i200
χ342-2-22002-20002i−2i000000-222-200-22000−2i2i000000
χ352-2-22002-2000−2i2i000000-222-200-220002i−2i000000
χ362-2-2200-222-2000000000-222-2002-2-22000000000
χ372-2-2200-22-22000000000-222-2002-22-2000000000
χ3844-4-4000000000000000-4-444000000000000000

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