Finite Group Databasebeta

← Group #308166

Character table — Group #308166

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-11-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1111111-1-111-1
χ172222222222-2-2-222-2-22222-200000000-2-2220000000022-2-20000000-200000000000
χ182222222222-2-2-222-2-22222-200000000-2-2-2-200000000-2-2220000000200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200000000222200000000-2-2220000000-200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000000022-2-20000000022-2-20000000200000000000
χ2122222222-2-2222-2-22-20000-2222222-2-2000022-2-200000000000000-2000000000000
χ2222222222-2-2222-2-22-20000-22222-2-2220000-2-2-2-2000000000000002000000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-222-2-20000-2-222000000000000002000000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-2-2-2220000222200000000000000-2000000000000
χ252222-2-2-2-2222-22-2-2-220000-200002-22-20000000022-2-2000000002-20000000000000
χ262222-2-2-2-2222-22-2-2-220000-200002-22-200000000-2-22200000000-220000000000000
χ272222-2-2-2-2222-22-2-2-220000-20000-22-220000000022-2-200000000-220000000000000
χ282222-2-2-2-2222-22-2-2-220000-20000-22-2200000000-2-222000000002-20000000000000
χ292222-2-2-2-2-2-22-2222-2-22i2i−2i−2i200002-2-222i−2i00000000000000000000002i−2i000000000
χ302222-2-2-2-2-2-22-2222-2-22i2i−2i−2i20000-222-22i−2i0000000000000000000000−2i2i000000000
χ312222-2-2-2-2-2-22-2222-2-2−2i−2i2i2i200002-2-22−2i2i0000000000000000000000−2i2i000000000
χ322222-2-2-2-2-2-22-2222-2-2−2i−2i2i2i20000-222-2−2i2i00000000000000000000002i−2i000000000
χ332222-2-2-2-2-2-2-22-222222i2i−2i−2i-200000000−2i2i0000000000000000000000002i−2i002-2000
χ342222-2-2-2-2-2-2-22-222222i2i−2i−2i-200000000−2i2i000000000000000000000000−2i2i00-22000
χ352222-2-2-2-2-2-2-22-22222−2i−2i2i2i-2000000002i−2i0000000000000000000000002i−2i00-22000
χ362222-2-2-2-2-2-2-22-22222−2i−2i2i2i-2000000002i−2i000000000000000000000000−2i2i002-2000
χ3722-2-22-2-222-20002-2002-22-20i2i2−i2−i20000002i−2i00i2−i2i2−i2i2−i22i−2i0022−2−2000000002−200000
χ3822-2-22-2-222-20002-2002-22-20i2i2−i2−i2000000−2i2i00i2−i2i2−i2i2−i2−2i2i00−2−22200000000−2200000
χ3922-2-22-2-222-20002-2002-22-20−i2−i2i2i20000002i−2i00−i2i2−i2i2−i2i22i−2i00−2−22200000000−2200000
χ4022-2-22-2-222-20002-2002-22-20−i2−i2i2i2000000−2i2i00−i2i2−i2i2−i2i2−2i2i0022−2−2000000002−200000
χ4122-2-22-2-222-20002-200-22-220i2i2−i2−i20000002i−2i00i2−i2−i2i2−i2i2−2i2i00−2−222000000002−200000
χ4222-2-22-2-222-20002-200-22-220i2i2−i2−i2000000−2i2i00i2−i2−i2i2−i2i22i−2i0022−2−200000000−2200000
χ4322-2-22-2-222-20002-200-22-220−i2−i2i2i20000002i−2i00−i2i2i2−i2i2−i2−2i2i0022−2−200000000−2200000
χ4422-2-22-2-222-20002-200-22-220−i2−i2i2i2000000−2i2i00−i2i2i2−i2i2−i22i−2i00−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ4744-4-44-4-44-44000-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ4844-4-44-4-44-44000-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4944-4-4-444-44-4000-44000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ5044-4-4-444-44-4000-4400000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5144-4-4-444-4-440004-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5244-4-4-444-4-440004-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ534-44-444-4-40000000000000022−2222−220000000000000000002i2−2i22i−2i2i−2i000000000000000
χ544-44-444-4-40000000000000022−2222−22000000000000000000−2i22i2−2i2i−2i2i000000000000000
χ554-44-444-4-400000000000000−2222−22220000000000000000002i2−2i2−2i2i−2i2i000000000000000
χ564-44-444-4-400000000000000−2222−2222000000000000000000−2i22i22i−2i2i−2i000000000000000
χ574-4-444-44-4004-4-40040000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-444-44-4004-4-4004000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ594-4-444-44-400-44400-40000004i−4i−4i4i000000000000000000000000000000000000000
χ604-4-444-44-400-44400-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ614-4-44-44-440044-400-400000000000000000000000000000000000000000000002i2−2i20
χ624-4-44-44-440044-400-40000000000000000000000000000000000000000000000−2i22i20
χ634-4-44-44-4400-4-440040000000000000000004-400000000000000000000000000000
χ644-4-44-44-4400-4-44004000000000000000000-4400000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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