Finite Group Databasebeta

← Group #310469

Character table — Group #310469

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-11111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-111-1-11-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11-1-111111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111111-1-1-11111-1
χ17222222222-222-2-2-22-20000-22222220000-2-222-2-200000000000000-2000000000000
χ18222222222-222-2-2-22-20000-22222-2-2000022-2-2-2-2000000000000002000000000000
χ19222222222-222-2-2-22-20000-2-2-2-2-2220000-2-2-2-222000000000000002000000000000
χ20222222222-222-2-2-22-20000-2-2-2-2-2-2-2000022222200000000000000-2000000000000
χ2122222222-22-2-2222-2-22222-200000022-2-200000022-2-2000000000000000-20000000
χ2222222222-22-2-2222-2-22222-2000000-2-2-2-2000000-2-22200000000000000020000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20000002222000000-2-222000000000000000-20000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000-2-22200000022-2-200000000000000020000000
χ2522-22-2-2-220200-2-220022-2-20i2i2−i2−i2002i−2i000000i2−i22i−2i00i2i2−i2−i222−2−20000000000002−20
χ2622-22-2-2-220200-2-220022-2-20i2i2−i2−i200−2i2i000000i2−i2−2i2i00i2i2−i2−i2−2−222000000000000−220
χ2722-22-2-2-220200-2-220022-2-20−i2−i2i2i2002i−2i000000−i2i22i−2i00−i2−i2i2i2−2−222000000000000−220
χ2822-22-2-2-220200-2-220022-2-20−i2−i2i2i200−2i2i000000−i2i2−2i2i00−i2−i2i2i222−2−20000000000002−20
χ2922-22-2-2-220200-2-2200-2-2220i2i2−i2−i2002i−2i000000i2−i2−2i2i00−i2−i2i2i2−2−2220000000000002−20
χ3022-22-2-2-220200-2-2200-2-2220i2i2−i2−i200−2i2i000000i2−i22i−2i00−i2−i2i2i222−2−2000000000000−220
χ3122-22-2-2-220200-2-2200-2-2220−i2−i2i2i2002i−2i000000−i2i2−2i2i00i2i2−i2−i222−2−2000000000000−220
χ3222-22-2-2-220200-2-2200-2-2220−i2−i2i2i200−2i2i000000−i2i22i−2i00i2i2−i2−i2−2−2220000000000002−20
χ332-22-2-22-2222-2-2-22-2222i−2i2i−2i-2000000002i−2i0000000000000000000002i−2i0002-200000
χ342-22-2-22-2222-2-2-22-2222i−2i2i−2i-2000000002i−2i000000000000000000000−2i2i000-2200000
χ352-22-2-22-2222-2-2-22-222−2i2i−2i2i-200000000−2i2i0000000000000000000002i−2i000-2200000
χ362-22-2-22-2222-2-2-22-222−2i2i−2i2i-200000000−2i2i000000000000000000000−2i2i0002-200000
χ372-22-2-22-22-2222-22-2-2-22i−2i2i−2i200002i−2i00−2i2i2i−2i0000000000000000000002-200000000
χ382-22-2-22-22-2222-22-2-2-22i−2i2i−2i20000−2i2i00−2i2i−2i2i000000000000000000000-2200000000
χ392-22-2-22-22-2222-22-2-2-2−2i2i−2i2i200002i−2i002i−2i2i−2i000000000000000000000-2200000000
χ402-22-2-22-22-2222-22-2-2-2−2i2i−2i2i20000−2i2i002i−2i−2i2i0000000000000000000002-200000000
χ412-22-2-22-22-2-2222-22-220000-200002i−2i0000−2i2i000000002i−2i2i−2i00002-20000000000000
χ422-22-2-22-22-2-2222-22-220000-200002i−2i0000−2i2i00000000−2i2i−2i2i0000-220000000000000
χ432-22-2-22-22-2-2222-22-220000-20000−2i2i00002i−2i000000002i−2i2i−2i0000-220000000000000
χ442-22-2-22-22-2-2222-22-220000-20000−2i2i00002i−2i00000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ47444-44-4-4-40000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ48444-44-4-4-400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ49444-44-4-4-400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ5044-44-4-4-440-40044-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-44-4-4-440-40044-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-4-444-4404-4000-400000000000000000000000000000022−22−2222000000000000000
χ5344-4-4-444-4404-4000-4000000000000000000000000000000−222222−22000000000000000
χ5444-4-4-444-4-40-4400040000004i−4i−4i4i000000000000000000000000000000000000000
χ5544-4-4-444-4-40-440004000000−4i4i4i−4i000000000000000000000000000000000000000
χ564-44-4-44-444-4-4-44-444-4000040000000000000000000000000000000000000000000
χ574-4-4444-4-440-44000-40000000000000000004-400000000000000000000000000000
χ584-4-4444-4-440-44000-4000000000000000000-4400000000000000000000000000000
χ594-4-4444-4-4-404-40004000000000000000000000000000000000000000000002i2−2i2000
χ604-4-4444-4-4-404-4000400000000000000000000000000000000000000000000−2i22i2000
χ614-4-4-44-44404004-4-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ624-4-4-44-44404004-4-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-4-4-44-4440-400-44400000000000000000000000000022−22−22220000000000000000000
χ644-4-4-44-4440-400-444000000000000000000000000000−222222−220000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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