Finite Group Databasebeta

← Group #284615

Character table — Group #284615

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-1-1-111-1-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-11111-1-1-1-1-1-11-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1-11111111-1
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-11111-11
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-11-1-111-1-111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-1-1-11111-1-11-1
χ17222222222-2-22-222-2-2-222220000-2-2-2-20000000000002200-2-200-202000000000000000
χ18222222222-2-22-222-2-2-222220000-2-2-2-2000000000000-2-200220020-2000000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022220000000000002200-2-20020-2000000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-200002222000000000000-2-2002200-202000000000000000
χ2122222222-222-22-2-22-2-2000022220000-2-2-2-200000000002200-2-20-20200000000000000
χ2222222222-222-22-2-22-2-2000022220000-2-2-2-20000000000-2-20022020-200000000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-20000222200000000002200220-20-200000000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-2000022220000000000-2-200-2-2020200000000000000
χ2522-22-22-2-202-20-20020022−2−2000022−2−222-2-22222−2−2−2−2002i−2i002i−2i00000000i2−i2i2−i2000000
χ2622-22-22-2-202-20-20020022−2−2000022−2−222-2-22222−2−2−2−200−2i2i00−2i2i00000000−i2i2−i2i2000000
χ2722-22-22-2-202-20-20020022−2−2000022−2−2-2-222−2−2−2−22222002i−2i00−2i2i00000000−i2i2i2−i2000000
χ2822-22-22-2-202-20-20020022−2−2000022−2−2-2-222−2−2−2−2222200−2i2i002i−2i00000000i2−i2−i2i2000000
χ2922-22-22-2-202-20-200200−2−2220000−2−22222-2-2−2−2−2−22222002i−2i002i−2i00000000−i2i2−i2i2000000
χ3022-22-22-2-202-20-200200−2−2220000−2−22222-2-2−2−2−2−2222200−2i2i00−2i2i00000000i2−i2i2−i2000000
χ3122-22-22-2-202-20-200200−2−2220000−2−222-2-2222222−2−2−2−2002i−2i00−2i2i00000000i2−i2−i2i2000000
χ3222-22-22-2-202-20-200200−2−2220000−2−222-2-2222222−2−2−2−200−2i2i002i−2i00000000−i2i2i2−i2000000
χ332-22-2-22-22222-2-22-2-2-2200002i2i−2i−2i00002i−2i2i−2i000000000000000000002i−2i2-20000000000
χ342-22-2-22-22222-2-22-2-2-2200002i2i−2i−2i00002i−2i2i−2i00000000000000000000−2i2i-220000000000
χ352-22-2-22-22222-2-22-2-2-220000−2i−2i2i2i0000−2i2i−2i2i000000000000000000002i−2i-220000000000
χ362-22-2-22-22222-2-22-2-2-220000−2i−2i2i2i0000−2i2i−2i2i00000000000000000000−2i2i2-20000000000
χ372-22-2-22-22-2222-2-22-22-200002i2i−2i−2i0000−2i2i−2i2i000000002-2002-2000000000000002i−2i0000
χ382-22-2-22-22-2222-2-22-22-200002i2i−2i−2i0000−2i2i−2i2i00000000-2200-2200000000000000−2i2i0000
χ392-22-2-22-22-2222-2-22-22-20000−2i−2i2i2i00002i−2i2i−2i000000002-2002-200000000000000−2i2i0000
χ402-22-2-22-22-2222-2-22-22-20000−2i−2i2i2i00002i−2i2i−2i00000000-2200-22000000000000002i−2i0000
χ412-22-2-22-22-2-2-222-222-22000000000000000022-2-222-2-22-200-2200000000000000002-200
χ422-22-2-22-22-2-2-222-222-22000000000000000022-2-222-2-2-22002-20000000000000000-2200
χ432-22-2-22-22-2-2-222-222-220000000000000000-2-222-2-2222-200-220000000000000000-2200
χ442-22-2-22-22-2-2-222-222-220000000000000000-2-222-2-222-22002-200000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-4-44-440040-4-4000000000000000000022−2222−2222−2222−2200000000000000000000000000
χ47444-4-4-44-440040-4-40000000000000000000−2222−2222−2222−222200000000000000000000000000
χ48444-4-4-44-4-400-40440004i−4i4i−4i0000000000000000000000000000000000000000000000
χ49444-4-4-44-4-400-4044000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ5044-44-44-4-40-440400-4002222−22−220000−22−22222200000000000000000000000000000000000000
χ5144-44-44-4-40-440400-400−22−22222200002222−22−2200000000000000000000000000000000000000
χ5244-4-44-4-4400000000002i2−2i2−2i22i22i2−2i22i2−2i2000000002-22-2-22-2200000000000000000000000000
χ5344-4-44-4-4400000000002i2−2i2−2i22i2−2i22i2−2i22i200000000-22-222-22-200000000000000000000000000
χ5444-4-44-4-440000000000−2i22i22i2−2i22i2−2i22i2−2i200000000-22-222-22-200000000000000000000000000
χ5544-4-44-4-440000000000−2i22i22i2−2i2−2i22i2−2i22i2000000002-22-2-22-2200000000000000000000000000
χ564-4444-4-4-4400-40-44000000000004-44-400000000000000000000000000000000000000
χ574-4444-4-4-4400-40-4400000000000-44-4400000000000000000000000000000000000000
χ584-4444-4-4-4-400404-4000000000000000000022−22−222222−22−222200000000000000000000000000
χ594-4444-4-4-4-400404-40000000000000000000−222222−22−222222−2200000000000000000000000000
χ604-44-4-44-444-4-4-444-444-400000000000000000000000000000000000000000000000000
χ614-4-44-4-4440000000000000022−22−222222−22−222200002-2-22-222-200000000000000000000000000
χ624-4-44-4-4440000000000000022−22−2222−222222−220000-222-22-2-2200000000000000000000000000
χ634-4-44-4-44400000000000000−222222−2222−22−22220000-222-22-2-2200000000000000000000000000
χ644-4-44-4-44400000000000000−222222−22−222222−2200002-2-22-222-200000000000000000000000000
χ654-4-4-4444-404-40400-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ664-4-4-4444-404-40400-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ674-4-4-4444-40-440-40040000000000000000002222−22−22−22−22222200000000000000000000000000
χ684-4-4-4444-40-440-4004000000000000000000−22−2222222222−22−2200000000000000000000000000

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