Finite Group Databasebeta

← Group #340571

Character table — Group #340571

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-11
χ9111111111111111111-1-1-1-1111111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ17222222222-2-22-222-2-2-22222000022-2-20000-2-200-2-20000000000000000200000000
χ18222222222-2-22-222-2-2-222220000-2-22200002200-2-20000000000000000-200000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022220000-2-200220000000000000000-200000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-2-2-200002200220000000000000000200000000
χ2122222222-222-22-2-22-2-200002222000022-2-200-2-200-2-200000000000000020000000
χ2222222222-222-22-2-22-2-2000022220000-2-222002200-2-2000000000000000-20000000
χ2322222222-222-22-2-22-2-20000-2-2-2-20000222200-2-20022000000000000000-20000000
χ2422222222-222-22-2-22-2-20000-2-2-2-20000-2-2-2-20022002200000000000000020000000
χ252-22-22-22-2-2222-2-22-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00002-2000000000
χ262-22-22-22-2-2222-2-22-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000-22000000000
χ272-22-22-22-2-2222-2-22-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000-22000000000
χ282-22-22-22-2-2222-2-22-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i00002-2000000000
χ292-22-2-22-2220020-2-20002i2i−2i−2i22−2−2002-200002i−2i00002−20000i2−i2i2−i2i2i2−i2−i20000002−2000
χ302-22-2-22-2220020-2-20002i2i−2i−2i22−2−200-220000−2i2i00002−20000−i2i2−i2i2i2i2−i2−i2000000−22000
χ312-22-2-22-2220020-2-20002i2i−2i−2i−2−222002-200002i−2i0000−220000−i2i2−i2i2−i2−i2i2i2000000−22000
χ322-22-2-22-2220020-2-20002i2i−2i−2i−2−22200-220000−2i2i0000−220000i2−i2i2−i2−i2−i2i2i20000002−2000
χ332-22-2-22-2220020-2-2000−2i−2i2i2i22−2−2002-20000−2i2i00002−20000−i2i2−i2i2−i2−i2i2i20000002−2000
χ342-22-2-22-2220020-2-2000−2i−2i2i2i22−2−200-2200002i−2i00002−20000i2−i2i2−i2−i2−i2i2i2000000−22000
χ352-22-2-22-2220020-2-2000−2i−2i2i2i−2−222002-20000−2i2i0000−220000i2−i2i2−i2i2i2−i2−i2000000−22000
χ362-22-2-22-2220020-2-2000−2i−2i2i2i−2−22200-2200002i−2i0000−220000−i2i2−i2i2i2i2−i2−i20000002−2000
χ372-2-22-222-202-20200-2002−22−22i−2i2i−2i0000002-2002i−2i2−200i2−i2i2−i20000i2−i2i2−i200002−200000
χ382-2-22-222-202-20200-2002−22−22i−2i2i−2i000000-2200−2i2i2−200−i2i2−i2i20000i2−i2i2−i20000−2200000
χ392-2-22-222-202-20200-2002−22−2−2i2i−2i2i0000002-200−2i2i2−200−i2i2−i2i20000−i2i2−i2i200002−200000
χ402-2-22-222-202-20200-2002−22−2−2i2i−2i2i000000-22002i−2i2−200i2−i2i2−i20000−i2i2−i2i20000−2200000
χ412-2-22-222-202-20200-200−22−222i−2i2i−2i0000002-2002i−2i−2200−i2i2−i2i20000−i2i2−i2i20000−2200000
χ422-2-22-222-202-20200-200−22−222i−2i2i−2i000000-2200−2i2i−2200i2−i2i2−i20000−i2i2−i2i200002−200000
χ432-2-22-222-202-20200-200−22−22−2i2i−2i2i0000002-200−2i2i−2200i2−i2i2−i20000i2−i2i2−i20000−2200000
χ442-2-22-222-202-20200-200−22−22−2i2i−2i2i000000-22002i−2i−2200−i2i2−i2i20000i2−i2i2−i200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4400-40-44000000000004-40000000000000000000000000000000000000
χ474444-4-4-4-4400-40-4400000000000-440000000000000000000000000000000000000
χ484444-4-4-4-4-400404-4000000000000000000000000000000022−22−2222000000000000000
χ494444-4-4-4-4-400404-40000000000000000000000000000000−222222−22000000000000000
χ5044-4-444-4-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5144-4-444-4-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ5244-4-444-4-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ5344-4-444-4-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ5444-4-4-4-44404-40-40040000000000000000000000000022−22−22220000000000000000000
χ5544-4-4-4-44404-40-400400000000000000000000000000−222222−220000000000000000000
χ5644-4-4-4-4440-440400-4000000000000004i−4i000000000000000000000000000000000
χ5744-4-4-4-4440-440400-400000000000000−4i4i000000000000000000000000000000000
χ584-44-44-44-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ594-44-44-44-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ604-44-44-44-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ614-44-4-44-44-400-404400000002222−22−2200000000000000−222200000000000000000000000
χ624-44-4-44-44-400-40440000000−22−2222220000000000000022−2200000000000000000000000
χ634-4-44-444-40-440-40040022−2222−220000000000000000−22220000000000000000000000000
χ644-4-44-444-40-440-400400−2222−2222000000000000000022−220000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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