Finite Group Databasebeta

← Group #307473

Character table — Group #307473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-11-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-11-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-11
χ17222222222-222-2-22-2-22222-2000000-2-2000022-2-2000000000002000-200000000
χ18222222222-222-2-22-2-22222-2000000-2-20000-2-22200000000000-2000200000000
χ19222222222-222-2-22-2-2-2-2-2-2-200000022000022-2-200000000000-2000200000000
χ20222222222-222-2-22-2-2-2-2-2-2-2000000220000-2-222000000000002000-200000000
χ2122222222-22-2-222-22-20000-22222220022-2-2000000000000-2000-200000000000
χ2222222222-22-2-222-22-20000-22222-2-200-2-2-2-20000000000002000200000000000
χ2322222222-22-2-222-22-20000-2-2-2-2-22200-2-222000000000000-2000200000000000
χ2422222222-22-2-222-22-20000-2-2-2-2-2-2-20022220000000000002000-200000000000
χ252-22-2-222-22-2-2-2222-220000-222-2-20000002-200000000000002i−2i002i−2i000000000
χ262-22-2-222-22-2-2-2222-220000-222-2-20000002-20000000000000−2i2i00−2i2i000000000
χ272-22-2-222-22-2-2-2222-220000-2-2-222000000-2200000000000002i−2i00−2i2i000000000
χ282-22-2-222-22-2-2-2222-220000-2-2-222000000-220000000000000−2i2i002i−2i000000000
χ292-22-2-222-2-2222-2-2-2222i2i−2i−2i-20000002i−2i0000000000002i2i−2i−2i000000002-2000000
χ302-22-2-222-2-2222-2-2-2222i2i−2i−2i-20000002i−2i000000000000−2i−2i2i2i00000000-22000000
χ312-22-2-222-2-2222-2-2-222−2i−2i2i2i-2000000−2i2i0000000000002i2i−2i−2i00000000-22000000
χ322-22-2-222-2-2222-2-2-222−2i−2i2i2i-2000000−2i2i000000000000−2i−2i2i2i000000002-2000000
χ332-22-2-222-2-2-22222-2-2-22i2i−2i−2i222-2-200−2i2i00-2200002i2i−2i−2i00000000000000000000
χ342-22-2-222-2-2-22222-2-2-22i2i−2i−2i2-2-22200−2i2i002-20000−2i−2i2i2i00000000000000000000
χ352-22-2-222-2-2-22222-2-2-2−2i−2i2i2i222-2-2002i−2i00-220000−2i−2i2i2i00000000000000000000
χ362-22-2-222-2-2-22222-2-2-2−2i−2i2i2i2-2-222002i−2i002-200002i2i−2i−2i00000000000000000000
χ372-2-22-22-2202002-20-20000002i−2i2i−2i2-2002i−2i002−22−20000i2−i2i2−i200000000002−2i2−i200
χ382-2-22-22-2202002-20-20000002i−2i2i−2i2-2002i−2i00−22−220000−i2i2−i2i20000000000−22−i2i200
χ392-2-22-22-2202002-20-20000002i−2i2i−2i-2200−2i2i002−22−20000i2−i2i2−i20000000000−22−i2i200
χ402-2-22-22-2202002-20-20000002i−2i2i−2i-2200−2i2i00−22−220000−i2i2−i2i200000000002−2i2−i200
χ412-2-22-22-2202002-20-2000000−2i2i−2i2i2-200−2i2i002−22−20000−i2i2−i2i200000000002−2−i2i200
χ422-2-22-22-2202002-20-2000000−2i2i−2i2i2-200−2i2i00−22−220000i2−i2i2−i20000000000−22i2−i200
χ432-2-22-22-2202002-20-2000000−2i2i−2i2i-22002i−2i002−22−20000−i2i2−i2i20000000000−22i2−i200
χ442-2-22-22-2202002-20-2000000−2i2i−2i2i-22002i−2i00−22−220000i2−i2i2−i200000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-4-44404-400-4004-44-400000000000000000000000000000000000000000
χ47444-4-4-4-44404-400-400-44-4400000000000000000000000000000000000000000
χ48444-4-4-4-44-40-44004000000000000000000000002i2−2i22i2−2i200000000000000000000
χ49444-4-4-4-44-40-4400400000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-444-4-40400-440-40000000000000000000000000022−22−22220000000000000000
χ5144-4-444-4-40400-440-400000000000000000000000000−222222−220000000000000000
χ5244-4-444-4-40-4004-4040000004i−4i−4i4i000000000000000000000000000000000000
χ5344-4-444-4-40-4004-404000000−4i4i4i−4i000000000000000000000000000000000000
χ544-4444-4-4-440-4400-40000000000000000000000022−22−222200000000000000000000
χ554-4444-4-4-440-4400-400000000000000000000000−222222−2200000000000000000000
χ564-4444-4-4-4-404-4004004i−4i−4i4i00000000000000000000000000000000000000000
χ574-4444-4-4-4-404-400400−4i4i4i−4i00000000000000000000000000000000000000000
χ584-44-4-444-444-4-4-4-444-4000040000000000000000000000000000000000000000
χ594-4-44-44-440-400-440400000000000000000022−22−2222000000000000000000000000
χ604-4-44-44-440-400-4404000000000000000000−222222−22000000000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-88-888000000000000000000000000000000000000000000000000000000

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