Finite Group Databasebeta

← Group #290387

Character table — Group #290387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-1111111-111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-1111111-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-111111-1-1-1-11-1
χ17222222222-222-2-22-2-2-22222-2-2222200-2002200000000-2-2-2-2000000000000000000
χ18222222222-222-2-22-2-2-22222-2-2-2-2-2-200-200-2-2000000002222000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-222222200200-2-200000000-2-222000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-222-2-2-2-200200220000000022-2-2000000000000000000
χ2122222222-22-2-222-22-2-222-2-222000022-2-2-2000000000000000000200-20000000000
χ2222222222-22-2-222-22-2-222-2-2220000-2-2-222000000000000000000-20020000000000
χ2322222222-22-2-222-22-2-2-2-222-2-20000222-2-2000000000000000000-20020000000000
χ2422222222-22-2-222-22-2-2-2-222-2-20000-2-2222000000000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-2000000200002i2i−2i−2i000000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-200000020000−2i−2i2i2i00000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-22222000000-200002i2i−2i−2i00000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-22222000000-20000−2i−2i2i2i000000000000000000002i−2i0000
χ292222-2-2-2-2202-200-20002-22-20022-2-2000002-2000022−2−2000022−2−20000002−2002−200
χ302222-2-2-2-2202-200-20002-22-20022-2-2000002-20000−2−2220000−2−222000000−2200−2200
χ312222-2-2-2-2202-200-20002-22-200-2-22200000-22000022−2−2000022−2−2000000−2200−2200
χ322222-2-2-2-2202-200-20002-22-200-2-22200000-220000−2−2220000−2−2220000002−2002−200
χ332222-2-2-2-2202-200-2000-22-220022-2-200000-22000022−2−20000−2−2220000002−200−2200
χ342222-2-2-2-2202-200-2000-22-220022-2-200000-220000−2−222000022−2−2000000−22002−200
χ352222-2-2-2-2202-200-2000-22-2200-2-222000002-2000022−2−20000−2−222000000−22002−200
χ362222-2-2-2-2202-200-2000-22-2200-2-222000002-20000−2−222000022−2−20000002−200−2200
χ3722-2-222-2-222-222-2-2-22-2000000000000000002-22-22-22-20000000002-200000000000
χ3822-2-222-2-222-222-2-2-22-2000000000000000002-22-2-22-22000000000-2200000000000
χ3922-2-222-2-222-222-2-2-22-200000000000000000-22-222-22-2000000000-2200000000000
χ4022-2-222-2-222-222-2-2-22-200000000000000000-22-22-22-220000000002-200000000000
χ4122-2-222-2-2-2-22-2-22222-2000000000000000002i−2i−2i2i000000002-22-200002i−2i00000000
χ4222-2-222-2-2-2-22-2-22222-2000000000000000002i−2i−2i2i00000000-22-220000−2i2i00000000
χ4322-2-222-2-2-2-22-2-22222-200000000000000000−2i2i2i−2i000000002-22-20000−2i2i00000000
χ4422-2-222-2-2-2-22-2-22222-200000000000000000−2i2i2i−2i00000000-22-2200002i−2i00000000
χ454444-4-4-4-4-40-440040004-4-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-40-44004000-444-40000000000000000000000000000000000000000000
χ4744-4-444-4-44-4-44-44-44-4400000000000000000000000000000000000000000000000
χ4844-4-444-4-4-444-44-44-4-4400000000000000000000000000000000000000000000000
χ4944-4-4-4-44440-4-400400000000000000000000000022−22−22220000000000000000000000
χ5044-4-4-4-44440-4-4004000000000000000000000000−222222−220000000000000000000000
χ5144-4-4-4-444-404400-40000000000000000000000000000000022−22−222200000000000000
χ5244-4-4-4-444-404400-400000000000000000000000000000000−222222−2200000000000000
χ534-44-44-44-4000000000000004-422−2222−220000000000000000022−22000000000000000000
χ544-44-44-44-4000000000000004-4−2222−222200000000000000000−2222000000000000000000
χ554-44-44-44-400000000000000-4422−2222−2200000000000000000−2222000000000000000000
χ564-44-44-44-400000000000000-44−2222−22220000000000000000022−22000000000000000000
χ574-44-4-44-440400-4-4040000000022−22−222200000000000000022−2200000000000000000000
χ584-44-4-44-440400-4-40400000000−222222−22000000000000000−222200000000000000000000
χ594-44-4-44-440-400440-40000000022−22−2222000000000000000−222200000000000000000000
χ604-44-4-44-440-400440-400000000−222222−2200000000000000022−2200000000000000000000
χ614-4-44-444-40400-440-40000000000004-400000000000000000000000000000000000
χ624-4-44-444-40400-440-4000000000000-4400000000000000000000000000000000000
χ634-4-44-444-40-4004-4040000000000000004i−4i00000000000000000000000000000000
χ644-4-44-444-40-4004-404000000000000000−4i4i00000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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