Finite Group Databasebeta

← Group #274239

Character table — Group #274239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444444444444888888888888888822448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-111-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ10111111111-1-1-1-11111111-1-111-1-1-111-1-111-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1111-1
χ11111111111-1-1-1-11111111-1-111-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111111-1
χ12111111111-1-1-1-11111111-1-111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-1-11
χ13111111111-1-1-1-11111111-1-111-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11-1
χ14111111111-1-1-1-11111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-11
χ15111111111-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-11
χ16111111111-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-11-1
χ172222222222222-2-222-2-22-2-2-2-222-222-2-2-2-222000000000000000000000000000000
χ182222222222222-2-222-2-22-2-2-2-222-2-2-22222-2-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-2-2222-2-2-2-222222-2-2-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222000000000000000000000000000000
χ2122222222-2222222-2-222-222-2-2-2-2-20000000022220000-2-2-2-2000000000000000000
χ2222222222-2222222-2-222-222-2-2-2-2-200000000-2-2-2-200002222000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222-2-220000000000000000000000000000002i−2i2i−2i0000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-22000000000000000000000000000000−2i2i−2i2i0000
χ2522222222-2-2-2-2-222-2-222-2-2-2-2-22220000000022-2-20000-2-222000000000000000000
χ2622222222-2-2-2-2-222-2-222-2-2-2-2-222200000000-2-222000022-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000−2i2i2i−2i0000
χ292-2-222-22-2200002-22-22-2-2002-20002i−2i002i−2i000000000000002i2i−2i−2i002-20000000000
χ302-2-222-22-2200002-22-22-2-2002-20002i−2i002i−2i00000000000000−2i−2i2i2i00-220000000000
χ312-2-222-22-2200002-22-22-2-2002-2000−2i2i00−2i2i000000000000002i2i−2i−2i00-220000000000
χ322-2-222-22-2200002-22-22-2-2002-2000−2i2i00−2i2i00000000000000−2i−2i2i2i002-20000000000
χ332-2-222-22-220000-222-2-22-200-220002i−2i00−2i2i0000002i2i−2i−2i000000002-2000000000000
χ342-2-222-22-220000-222-2-22-200-220002i−2i00−2i2i000000−2i−2i2i2i00000000-22000000000000
χ352-2-222-22-220000-222-2-22-200-22000−2i2i002i−2i0000002i2i−2i−2i00000000-22000000000000
χ362-2-222-22-220000-222-2-22-200-22000−2i2i002i−2i000000−2i−2i2i2i000000002-2000000000000
χ372-2-2-2-2222022-2-2-2-2002202-2000000000000000002−22−22-22-22−22−200002−200002−200
χ382-2-2-2-2222022-2-2-2-2002202-2000000000000000002−22−2-22-222−22−20000−220000−2200
χ392-2-2-2-2222022-2-2-2-2002202-200000000000000000−22−222-22-2−22−220000−220000−2200
χ402-2-2-2-2222022-2-2-2-2002202-200000000000000000−22−22-22-22−22−2200002−200002−200
χ412-2-2-2-22220-2-222-2-200220-22000000000000000002−22−22-2-22−22−2200002−20000−2200
χ422-2-2-2-22220-2-222-2-200220-22000000000000000002−22−2-222-2−22−220000−2200002−200
χ432-2-2-2-22220-2-222-2-200220-2200000000000000000−22−222-2-222−22−20000−2200002−200
χ442-2-2-2-22220-2-222-2-200220-2200000000000000000−22−22-222-22−22−200002−20000−2200
χ45444-4-4-44-4000004-400-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ46444-4-4-44-4000004-400-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ47444-4-4-44-400000-44004-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ48444-4-4-44-400000-44004-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ4944-44-44-4-404i−4i4i−4i00000000000000000000002i2−2i222−2200000000000000000000000000
χ5044-44-44-4-404i−4i4i−4i0000000000000000000000−2i22i2−222200000000000000000000000000
χ5144-44-44-4-40−4i4i−4i4i00000000000000000000002i2−2i2−222200000000000000000000000000
χ5244-44-44-4-40−4i4i−4i4i0000000000000000000000−2i22i222−2200000000000000000000000000
χ5344-4-44-4-444000000-4400-40000000004i−4i0000000000000000000000000000000000
χ5444-4-44-4-444000000-4400-4000000000−4i4i0000000000000000000000000000000000
χ5544-4-44-4-44-40000004-400400000000000004-4000000000000000000000000000000
χ5644-4-44-4-44-40000004-40040000000000000-44000000000000000000000000000000
χ574-44-444-4-444i−4i−4i4i00-4-400400004i−4i000000000000000000000000000000000000000
χ584-44-444-4-44−4i4i4i−4i00-4-40040000−4i4i000000000000000000000000000000000000000
χ594-44-444-4-4-44i−4i−4i4i004400-40000−4i4i000000000000000000000000000000000000000
χ604-44-444-4-4-4−4i4i4i−4i004400-400004i−4i000000000000000000000000000000000000000
χ614-4-444-44-4-400004-4-444-4400-4400000000000000000000000000000000000000000
χ624-4-444-44-4-40000-44-44-444004-400000000000000000000000000000000000000000
χ634-4-4-4-4444044-4-44400-4-40-440000000000000000000000000000000000000000000
χ644-4-4-4-44440-4-4444400-4-404-40000000000000000000000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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