Finite Group Databasebeta

← Group #308246

Character table — Group #308246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-11
χ911111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-11111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-11-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111
χ17222222222-2-22-222-2-20000-222222222-2-20000-2-20000000000000000-20000000000
χ18222222222-2-22-222-2-20000-22222-2-2-2-2220000-2-2000000000000000020000000000
χ19222222222-2-22-222-2-20000-2-2-2-2-222-2-2220000220000000000000000-20000000000
χ20222222222-2-22-222-2-20000-2-2-2-2-2-2-222-2-2000022000000000000000020000000000
χ2122222222-222-22-2-22-22222-2000000000022-2-200220000-2-200000000000-20000000
χ2222222222-222-22-2-22-22222-20000000000-2-2-2-200-2-20000220000000000020000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000000000222200-2-200002200000000000-20000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000000000-2-22200220000-2-20000000000020000000
χ252-222-22-2-2222-2-22-2-220000-20000002-22-20000000022-2-2000000002-200000000000
χ262-222-22-2-2222-2-22-2-220000-20000002-22-200000000-2-22200000000-2200000000000
χ272-222-22-2-2222-2-22-2-220000-2000000-22-220000000022-2-200000000-2200000000000
χ282-222-22-2-2222-2-22-2-220000-2000000-22-2200000000-2-222000000002-200000000000
χ292-222-22-2-22-2-2-222-22-22i2i−2i−2i20000002-2-22002i−2i00000000000000000002i−2i00000000
χ302-222-22-2-22-2-2-222-22-22i2i−2i−2i2000000-222-2002i−2i0000000000000000000−2i2i00000000
χ312-222-22-2-22-2-2-222-22-2−2i−2i2i2i20000002-2-2200−2i2i0000000000000000000−2i2i00000000
χ322-222-22-2-22-2-2-222-22-2−2i−2i2i2i2000000-222-200−2i2i00000000000000000002i−2i00000000
χ332-222-22-2-2-2-2-222-22222i2i−2i−2i-2000000000000−2i2i000000000000002i−2i00000000002-20
χ342-222-22-2-2-2-2-222-22222i2i−2i−2i-2000000000000−2i2i00000000000000−2i2i0000000000-220
χ352-222-22-2-2-2-2-222-2222−2i−2i2i2i-20000000000002i−2i000000000000002i−2i0000000000-220
χ362-222-22-2-2-2-2-222-2222−2i−2i2i2i-20000000000002i−2i00000000000000−2i2i00000000002-20
χ372-2-2-222-2202-20200-202i−2i2i−2i022−2−20000002i−2i002−22-2i2−i2i2−i20022−2−200000000i2−i200000
χ382-2-2-222-2202-20200-202i−2i2i−2i022−2−2000000−2i2i002−2-22i2−i2i2−i200−2−22200000000−i2i200000
χ392-2-2-222-2202-20200-202i−2i2i−2i0−2−2220000002i−2i00−222-2−i2i2−i2i200−2−22200000000−i2i200000
χ402-2-2-222-2202-20200-202i−2i2i−2i0−2−222000000−2i2i00−22-22−i2i2−i2i20022−2−200000000i2−i200000
χ412-2-2-222-2202-20200-20−2i2i−2i2i022−2−20000002i−2i002−2-22−i2i2−i2i200−2−22200000000i2−i200000
χ422-2-2-222-2202-20200-20−2i2i−2i2i022−2−2000000−2i2i002−22-2−i2i2−i2i20022−2−200000000−i2i200000
χ432-2-2-222-2202-20200-20−2i2i−2i2i0−2−2220000002i−2i00−22-22i2−i2i2−i20022−2−200000000−i2i200000
χ442-2-2-222-2202-20200-20−2i2i−2i2i0−2−222000000−2i2i00−222-2i2−i2i2−i200−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-4400-40-44000000000004-40000000000000000000000000000000000000
χ47444-44-4-4-4400-40-4400000000000-440000000000000000000000000000000000000
χ48444-44-4-4-4-400404-400000000000000000000000000000000000000000000022−22000
χ49444-44-4-4-4-400404-4000000000000000000000000000000000000000000000−2222000
χ5044-44-4-4-44000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ5144-44-4-4-44000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ5244-44-4-4-4400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ5344-44-4-4-4400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ5444-4-4-444-404-40-40040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5544-4-4-444-404-40-4004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5644-4-4-444-40-440400-404-4-4400000000000000000000000000000000000000000000
χ5744-4-4-444-40-440400-40-444-400000000000000000000000000000000000000000000
χ584-444-44-4-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ594-44-4-4-44440040-4-400000004i−4i−4i4i000000000000000000000000000000000000000
χ604-44-4-4-44440040-4-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ614-44-4-4-444-400-4044000000000000000000000000000000022−22−2222000000000000000
χ624-44-4-4-444-400-40440000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-440-440-40040000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-444-440-440-4004000000−22−222222000000000022−22000000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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