Finite Group Databasebeta

← Group #307479

Character table — Group #307479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-111-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-11-1-11-1-1-1-1-111-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-111-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-11111-111-1-1-1-1-11
χ1722222222222-2-2-2-22-20000-22222220022-2-2000000000000-2000000-200000000
χ1822222222222-2-2-2-22-20000-22222-2-200-2-2-2-20000000000002000000200000000
χ1922222222222-2-2-2-22-20000-2-2-2-2-22200-2-2220000000000002000000-200000000
χ2022222222222-2-2-2-22-20000-2-2-2-2-2-2-2002222000000000000-2000000200000000
χ2122222222-2-2-22222-2-22222-2000000-2-2000022-2-200000000000200-2000000000
χ2222222222-2-2-22222-2-22222-2000000-2-20000-2-22200000000000-2002000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200000022000022-2-200000000000-2002000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2000000220000-2-22200000000000200-2000000000
χ252-22-2-22-222-2-222-2-2222i2i−2i−2i-20000002i−2i0000000000002i2i−2i−2i0000000000002-200
χ262-22-2-22-222-2-222-2-2222i2i−2i−2i-20000002i−2i000000000000−2i−2i2i2i000000000000-2200
χ272-22-2-22-222-2-222-2-222−2i−2i2i2i-2000000−2i2i0000000000002i2i−2i−2i000000000000-2200
χ282-22-2-22-222-2-222-2-222−2i−2i2i2i-2000000−2i2i000000000000−2i−2i2i2i0000000000002-200
χ292-22-2-22-22-22222-2-2-2-22i2i−2i−2i222-2-200−2i2i002-200002i2i−2i−2i00000000000000000000
χ302-22-2-22-22-22222-2-2-2-22i2i−2i−2i2-2-22200−2i2i00-220000−2i−2i2i2i00000000000000000000
χ312-22-2-22-22-22222-2-2-2-2−2i−2i2i2i222-2-2002i−2i002-20000−2i−2i2i2i00000000000000000000
χ322-22-2-22-22-22222-2-2-2-2−2i−2i2i2i2-2-222002i−2i00-2200002i2i−2i−2i00000000000000000000
χ332-22-2-22-22-222-2-222-220000-222-2-2000000-2200000000000002i−2i02i−2i0000000000
χ342-22-2-22-22-222-2-222-220000-222-2-2000000-220000000000000−2i2i0−2i2i0000000000
χ352-22-2-22-22-222-2-222-220000-2-2-2220000002-200000000000002i−2i0−2i2i0000000000
χ362-22-2-22-22-222-2-222-220000-2-2-2220000002-20000000000000−2i2i02i−2i0000000000
χ372-2-22-222-222-20000-20000002i−2i2i−2i2-2002i−2i002−22−20000i2−i2i2−i2000000002−2i2−i20000
χ382-2-22-222-222-20000-20000002i−2i2i−2i2-2002i−2i00−22−220000−i2i2−i2i200000000−22−i2i20000
χ392-2-22-222-222-20000-20000002i−2i2i−2i-2200−2i2i002−22−20000i2−i2i2−i200000000−22−i2i20000
χ402-2-22-222-222-20000-20000002i−2i2i−2i-2200−2i2i00−22−220000−i2i2−i2i2000000002−2i2−i20000
χ412-2-22-222-222-20000-2000000−2i2i−2i2i2-200−2i2i002−22−20000−i2i2−i2i2000000002−2−i2i20000
χ422-2-22-222-222-20000-2000000−2i2i−2i2i2-200−2i2i00−22−220000i2−i2i2−i200000000−22i2−i20000
χ432-2-22-222-222-20000-2000000−2i2i−2i2i-22002i−2i002−22−20000−i2i2−i2i200000000−22i2−i20000
χ442-2-22-222-222-20000-2000000−2i2i−2i2i-22002i−2i00−22−220000i2−i2i2−i2000000002−2−i2i20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-4-4-440004-44-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4744-44-4-4-440004-44-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ4844-44-4-4-44000-44-44004i−4i4i−4i00000000000000000000000000000000000000000
χ4944-44-4-4-44000-44-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-444-4-44-440000-40000000000000000000000000022−22−22220000000000000000
χ5144-4-444-4-44-440000-400000000000000000000000000−222222−220000000000000000
χ5244-4-444-4-4-44-4000040000004i−4i−4i4i000000000000000000000000000000000000
χ5344-4-444-4-4-44-400004000000−4i4i4i−4i000000000000000000000000000000000000
χ544-44-4-44-444-4-4-4-4444-4000040000000000000000000000000000000000000000
χ554-4-44-444-4-4-440000400000000000000000022−22−2222000000000000000000000000
χ564-4-44-444-4-4-4400004000000000000000000−222222−22000000000000000000000000
χ574-4-4-44-4440004-4-440000000000000000000000022−22−222200000000000000000000
χ584-4-4-44-4440004-4-4400000000000000000000000−222222−2200000000000000000000
χ594-4-4-44-444000-444-4004-4-4400000000000000000000000000000000000000000
χ604-4-4-44-444000-444-400-444-400000000000000000000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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