Finite Group Databasebeta

← Group #280550

Character table — Group #280550

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-11111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-11111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-111-1
χ17222222222-22-2-222-2-20000-2222222-2-22200000000-2-20000000000-2000000000000
χ18222222222-22-2-222-2-20000-22222-2-222-2-200000000-2-200000000002000000000000
χ19222222222-22-2-222-2-20000-2-2-2-2-222-2-2-2-2000000002200000000002000000000000
χ20222222222-22-2-222-2-20000-2-2-2-2-2-2-2222200000000220000000000-2000000000000
χ2122222222-22-222-2-22-22222-2000000000022-2-222-2-200000000000000000-20000000
χ2222222222-22-222-2-22-22222-20000000000-2-2-2-2-2-2220000000000000000020000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000000002222-2-22200000000000000000-20000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000000000-2-22222-2-20000000000000000020000000
χ252-2-22-22-2222-2-2-22-2220000-200002i−2i2i−2i0000000000002i2i−2i−2i0000000002-200000000
χ262-2-22-22-2222-2-2-22-2220000-200002i−2i2i−2i000000000000−2i−2i2i2i000000000-2200000000
χ272-2-22-22-2222-2-2-22-2220000-20000−2i2i−2i2i0000000000002i2i−2i−2i000000000-2200000000
χ282-2-22-22-2222-2-2-22-2220000-20000−2i2i−2i2i000000000000−2i−2i2i2i0000000002-200000000
χ292-2-22-22-222-2-2222-2-2-222-2-2200002i−2i−2i2i00002-2000000000000000002i−2i0000000000
χ302-2-22-22-222-2-2222-2-2-222-2-220000−2i2i2i−2i00002-200000000000000000−2i2i0000000000
χ312-2-22-22-222-2-2222-2-2-2-2-222200002i−2i−2i2i0000-2200000000000000000−2i2i0000000000
χ322-2-22-22-222-2-2222-2-2-2-2-22220000−2i2i2i−2i0000-22000000000000000002i−2i0000000000
χ332-2-22-22-22-2-2222-22-2222-2-2-2000000000000-22000000000000002i−2i000000002i−2i000
χ342-2-22-22-22-2-2222-22-2222-2-2-2000000000000-2200000000000000−2i2i00000000−2i2i000
χ352-2-22-22-22-2-2222-22-22-2-222-20000000000002-2000000000000002i−2i00000000−2i2i000
χ362-2-22-22-22-2-2222-22-22-2-222-20000000000002-200000000000000−2i2i000000002i−2i000
χ372-2-2-22-2220202-200-202i−2i2i−2i022−2−20000002i−2i002-2002−2i2−i2i2−i222−2−200000000i2−i200000
χ382-2-2-22-2220202-200-202i−2i2i−2i022−2−2000000−2i2i00-22002−2i2−i2i2−i2−2−22200000000−i2i200000
χ392-2-2-22-2220202-200-202i−2i2i−2i0−2−2220000002i−2i002-200−22−i2i2−i2i2−2−22200000000−i2i200000
χ402-2-2-22-2220202-200-202i−2i2i−2i0−2−222000000−2i2i00-2200−22−i2i2−i2i222−2−200000000i2−i200000
χ412-2-2-22-2220202-200-20−2i2i−2i2i022−2−20000002i−2i00-22002−2−i2i2−i2i2−2−22200000000i2−i200000
χ422-2-2-22-2220202-200-20−2i2i−2i2i022−2−2000000−2i2i002-2002−2−i2i2−i2i222−2−200000000−i2i200000
χ432-2-2-22-2220202-200-20−2i2i−2i2i0−2−2220000002i−2i00-2200−22i2−i2i2−i222−2−200000000−i2i200000
χ442-2-2-22-2220202-200-20−2i2i−2i2i0−2−222000000−2i2i002-200−22i2−i2i2−i2−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-44040-4400-40000000000000000000000000022−22−22220000000000000000000
χ47444-4-4-4-44040-4400-400000000000000000000000000−222222−220000000000000000000
χ48444-4-4-4-440-404-400404i−4i−4i4i00000000000000000000000000000000000000000000
χ49444-4-4-4-440-404-40040−4i4i4i−4i00000000000000000000000000000000000000000000
χ5044-444-4-4-440-400-440000000000000000000000000000000000000000000000022−220
χ5144-444-4-4-440-400-4400000000000000000000000000000000000000000000000−22220
χ5244-444-4-4-4-404004-40000000000000004-4000000000000000000000000000000000
χ5344-444-4-4-4-404004-4000000000000000-44000000000000000000000000000000000
χ5444-4-4-444-4000000000000002i2−2i22i2−2i20000000000002i2−2i20000002-22-2000000000000000
χ5544-4-4-444-4000000000000002i2−2i22i2−2i2000000000000−2i22i2000000-22-22000000000000000
χ5644-4-4-444-400000000000000−2i22i2−2i22i20000000000002i2−2i2000000-22-22000000000000000
χ5744-4-4-444-400000000000000−2i22i2−2i22i2000000000000−2i22i20000002-22-2000000000000000
χ584-444-4-44-440400-4-4000000000000000000000000000000022−22−2222000000000000000
χ594-444-4-44-440400-4-40000000000000000000000000000000−222222−22000000000000000
χ604-444-4-44-4-40-4004400000004i−4i−4i4i000000000000000000000000000000000000000
χ614-444-4-44-4-40-400440000000−4i4i4i−4i000000000000000000000000000000000000000
χ624-4-44-44-44-444-4-4-444-4000040000000000000000000000000000000000000000000
χ634-4-4-44-4440-40-440040000002222−22−2200000000000000−222200000000000000000000000
χ644-4-4-44-4440-40-44004000000−22−2222220000000000000022−2200000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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