Finite Group Databasebeta

← Group #349635

Character table — Group #349635

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444224444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111111-1-111-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-111111-1-111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ1211111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ1311111111111111111-1-11-1-1-111-1-1-1-111-1-1-1-1-111-111-1-111111111-1-1-1-1-1-11111-1-1-11
χ1411111111111111111-1-11-1-1-111-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1511111111111111111-1-11-1-1-1-1-111-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111111111111-1-11-1-1-1-1-111-1-1-1-11111-111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-222-20000-2-2000000-2222-2-2000000000000000000000000
χ1822222222222-2-2-2-22-222-2-2-2-2000022000000-2-2-2222000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-22220000-2-20000002-2-2-222000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-22000022000000222-2-2-2000000000000000000000000
χ2122222222-2-2-22222-2-222-2002222200-2-20000-200-200-2-20000000000000000000000
χ2222222222-2-2-22222-2-222-2002-2-2-2-200220000-200-200220000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-200-222-2-200-2-20000200200220000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-200-2-2-22200220000200200-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-20000000022-2-2200-2000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200-200000000-2-222200-20000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-220020000000022-2-2-20020000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2200200000000-2-222-2002000022-2-2000000000000000000
χ292-22-222-2-222-222-2-2-2200-22-202-2002-22-22-22-2000000000000000000000000000000
χ302-22-222-2-222-222-2-2-2200-22-20-22002-2-22-22-22000000000000000000000000000000
χ312-22-222-2-222-222-2-2-2200-2-2202-200-222-2-22-22000000000000000000000000000000
χ322-22-222-2-222-222-2-2-2200-2-220-2200-22-222-22-2000000000000000000000000000000
χ332-22-222-2-222-2-2-222-2-20022-20002i−2i-220000000000002i−2i2i−2i2i−2i000000000000000000
χ342-22-222-2-222-2-2-222-2-20022-2000−2i2i-22000000000000−2i2i−2i2i−2i2i000000000000000000
χ352-22-222-2-222-2-2-222-2-2002-220002i−2i2-20000000000002i−2i−2i2i−2i2i000000000000000000
χ362-22-222-2-222-2-2-222-2-2002-22000−2i2i2-2000000000000−2i2i2i−2i2i−2i000000000000000000
χ372-22-222-2-2-2-2222-2-22-20020002-20000-22000002i−2i02i−2i002i−2i−2i2i000000000000000000
χ382-22-222-2-2-2-2222-2-22-20020002-20000-2200000−2i2i0−2i2i00−2i2i2i−2i000000000000000000
χ392-22-222-2-2-2-2222-2-22-2002000-2200002-2000002i−2i02i−2i00−2i2i2i−2i000000000000000000
χ402-22-222-2-2-2-2222-2-22-2002000-2200002-200000−2i2i0−2i2i002i−2i−2i2i000000000000000000
χ412-22-222-2-2-2-22-2-2222200-2000002i−2i00002-2-2202i−2i0−2i2i−2i2i0000000000000000000000
χ422-22-222-2-2-2-22-2-2222200-2000002i−2i0000-222-20−2i2i02i−2i−2i2i0000000000000000000000
χ432-22-222-2-2-2-22-2-2222200-200000−2i2i00002-2-220−2i2i02i−2i2i−2i0000000000000000000000
χ442-22-222-2-2-2-22-2-2222200-200000−2i2i0000-222-202i−2i0−2i2i2i−2i0000000000000000000000
χ45444-4-4-4-440000000004i−4i000000000000000000000000000022-2-22i2i−2i−2i0000000000
χ46444-4-4-4-440000000004i−4i0000000000000000000000000000-2-222−2i−2i2i2i0000000000
χ47444-4-4-4-44000000000−4i4i000000000000000000000000000022-2-2−2i−2i2i2i0000000000
χ48444-4-4-4-44000000000−4i4i0000000000000000000000000000-2-2222i2i−2i−2i0000000000
χ4944-444-4-4-40004-44-400000000000000000000000000000000000022−2222−220000000000
χ5044-444-4-4-40004-44-4000000000000000000000000000000000000−2222−22220000000000
χ5144-444-4-4-4000-44-440000000000000000000000000000000022−2222−2200000000000000
χ5244-444-4-4-4000-44-4400000000000000000000000000000000−2222−222200000000000000
χ5344-4-4-444-44-440000-4000000000000000000000000000000022−22−222200000000000000
χ5444-4-4-444-44-440000-40000000000000000000000000000000−222222−2200000000000000
χ5544-4-4-444-4-44-400004000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ5644-4-4-444-4-44-40000400000000000000000000000000000000000−2i22i22i2−2i20000000000
χ574-4-44-44-444-4-40000400000000000000000000000000000000000000022−2200000000
χ584-4-44-44-444-4-400004000000000000000000000000000000000000000−222200000000
χ594-4-44-44-44-4440000-4000000000000000000000000000000000000000002i2−2i2000000
χ604-4-44-44-44-4440000-400000000000000000000000000000000000000000−2i22i2000000
χ614-4-4-44-4440004-4-44000000000000000000000000000000000000000000000022−2200
χ624-4-4-44-4440004-4-440000000000000000000000000000000000000000000000−222200
χ634-4-4-44-444000-444-40000000000000000000000000000000000000000000022−220000
χ644-4-4-44-444000-444-400000000000000000000000000000000000000000000−22220000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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