Finite Group Databasebeta

← Group #280405

Character table — Group #280405

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ31111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-11-111-1-111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11111111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ17222222222-222-2-2-22-22222-20000-2-2220000000022-2-2000000000000-20000000000
χ18222222222-222-2-2-22-22222-20000-2-2-2-200000000-2-22200000000000020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-20000222200000000-2-222000000000000-20000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000022-2-20000000022-2-200000000000020000000000
χ2122222222-22-2-2222-2-20000-2222200002222-2-2-2-200000000000000000-2000000000
χ2222222222-22-2-2222-2-20000-222220000-2-2-2-222-2-2000000000000000002000000000
χ2322222222-22-2-2222-2-20000-2-2-2-2-2000022-2-2222200000000000000000-2000000000
χ2422222222-22-2-2222-2-20000-2-2-2-2-20000-2-222-2-222000000000000000002000000000
χ252222-2-2-2-2-202-2000202i2i−2i−2i022−2−2002-20000002−22i−2i00i2i2−i2−i2i2i2−i2−i2000000002−200000
χ262222-2-2-2-2-202-2000202i2i−2i−2i022−2−200-220000002−2−2i2i00i2i2−i2−i2−i2−i2i2i200000000−2200000
χ272222-2-2-2-2-202-2000202i2i−2i−2i0−2−222002-2000000−222i−2i00−i2−i2i2i2−i2−i2i2i200000000−2200000
χ282222-2-2-2-2-202-2000202i2i−2i−2i0−2−22200-22000000−22−2i2i00−i2−i2i2i2i2i2−i2−i2000000002−200000
χ292222-2-2-2-2-202-200020−2i−2i2i2i022−2−2002-20000002−2−2i2i00−i2−i2i2i2−i2−i2i2i2000000002−200000
χ302222-2-2-2-2-202-200020−2i−2i2i2i022−2−200-220000002−22i−2i00−i2−i2i2i2i2i2−i2−i200000000−2200000
χ312222-2-2-2-2-202-200020−2i−2i2i2i0−2−222002-2000000−22−2i2i00i2i2−i2−i2i2i2−i2−i200000000−2200000
χ322222-2-2-2-2-202-200020−2i−2i2i2i0−2−22200-22000000−222i−2i00i2i2−i2−i2−i2−i2i2i2000000002−200000
χ332-22-222-2-222-2-2-22-2220000-200000000002i−2i2i−2i0000002i−2i2i−2i00002-20000000000000
χ342-22-222-2-222-2-2-22-2220000-200000000002i−2i2i−2i000000−2i2i−2i2i0000-220000000000000
χ352-22-222-2-222-2-2-22-2220000-20000000000−2i2i−2i2i0000002i−2i2i−2i0000-220000000000000
χ362-22-222-2-222-2-2-22-2220000-20000000000−2i2i−2i2i000000−2i2i−2i2i00002-20000000000000
χ372-22-222-2-2-2222-22-2-2-22-22-2200002-200002i−2i−2i2i00000000000000002i−2i00000000000
χ382-22-222-2-2-2222-22-2-2-22-22-2200002-20000−2i2i2i−2i0000000000000000−2i2i00000000000
χ392-22-222-2-2-2222-22-2-2-2-22-2220000-2200002i−2i−2i2i0000000000000000−2i2i00000000000
χ402-22-222-2-2-2222-22-2-2-2-22-2220000-220000−2i2i2i−2i00000000000000002i−2i00000000000
χ412-22-222-2-2-2-2222-22-222-22-2-20000-2200000000000000000000000000002i−2i00002i−2i0
χ422-22-222-2-2-2-2222-22-222-22-2-20000-220000000000000000000000000000−2i2i0000−2i2i0
χ432-22-222-2-2-2-2222-22-22-22-22-200002-200000000000000000000000000002i−2i0000−2i2i0
χ442-22-222-2-2-2-2222-22-22-22-22-200002-20000000000000000000000000000−2i2i00002i−2i0
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-440-44000-40000002222−22−220000000000−2222000000000000000000000000000
χ474444-4-4-4-440-44000-4000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-44-44-4000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ4944-4-44-44-4000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ5044-4-44-44-400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ5144-4-44-44-400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ5244-4-4-44-440400-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-44-440400-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-44-440-40044-400000004i−4i−4i4i000000000000000000000000000000000000000
χ5544-4-4-44-440-40044-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ564-44-444-4-44-4-4-44-444-4000040000000000000000000000000000000000000000000
χ574-44-4-4-444404-4000-404i−4i−4i4i00000000000000000000000000000000000000000000
χ584-44-4-4-444404-4000-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ594-44-4-4-444-40-4400040000000000000000000000000022−22−22220000000000000000000
χ604-44-4-4-444-40-44000400000000000000000000000000−222222−220000000000000000000
χ614-4-44-444-404004-4-40000000000000000000000000000000000000000000002i2−2i2000
χ624-4-44-444-404004-4-4000000000000000000000000000000000000000000000−2i22i2000
χ634-4-44-444-40-400-4440000000000000004-4000000000000000000000000000000000
χ644-4-44-444-40-400-444000000000000000-44000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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