Finite Group Databasebeta

← Group #340608

Character table — Group #340608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11
χ17222222222-2-2222-2-2-2-2222200002222000000-2-20000-2-200000000000-2000000000
χ18222222222-2-2222-2-2-2-222220000-2-2-2-2000000220000-2-2000000000002000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2000022-2-2000000-2-2000022000000000002000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000-2-2220000002200002200000000000-2000000000
χ2122222222-222-2-2-222-2-200002222000022-2-2-2-200000000-2-20000000020000000000
χ2222222222-222-2-2-222-2-2000022220000-2-2222200000000-2-200000000-20000000000
χ2322222222-222-2-2-222-2-20000-2-2-2-200002222-2-2000000002200000000-20000000000
χ2422222222-222-2-2-222-2-20000-2-2-2-20000-2-2-2-22200000000220000000020000000000
χ252-22-2-2-222-2222-22-2-2-22000000000000000000002i2i−2i−2i00002i2i−2i−2i0000002-20000000
χ262-22-2-2-222-2222-22-2-2-22000000000000000000002i2i−2i−2i0000−2i−2i2i2i000000-220000000
χ272-22-2-2-222-2222-22-2-2-2200000000000000000000−2i−2i2i2i00002i2i−2i−2i000000-220000000
χ282-22-2-2-222-2222-22-2-2-2200000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000002-20000000
χ292-2-222-2-2202-20002-200i2i2−i2−i22i2i−2i−2i0000002-22i−2i002−22−2i2−i200000022−2−2000000i2−i2000
χ302-2-222-2-2202-20002-200i2i2−i2−i22i2i−2i−2i000000-22−2i2i00−22−22i2−i200000022−2−2000000−i2i2000
χ312-2-222-2-2202-20002-200i2i2−i2−i2−2i−2i2i2i0000002-2−2i2i00−22−22i2−i2000000−2−222000000i2−i2000
χ322-2-222-2-2202-20002-200i2i2−i2−i2−2i−2i2i2i000000-222i−2i002−22−2i2−i2000000−2−222000000−i2i2000
χ332-2-222-2-2202-20002-200−i2−i2i2i22i2i−2i−2i0000002-22i−2i00−22−22−i2i2000000−2−222000000−i2i2000
χ342-2-222-2-2202-20002-200−i2−i2i2i22i2i−2i−2i000000-22−2i2i002−22−2−i2i2000000−2−222000000i2−i2000
χ352-2-222-2-2202-20002-200−i2−i2i2i2−2i−2i2i2i0000002-2−2i2i002−22−2−i2i200000022−2−2000000−i2i2000
χ362-2-222-2-2202-20002-200−i2−i2i2i2−2i−2i2i2i000000-222i−2i00−22−22−i2i200000022−2−2000000i2−i2000
χ372-2-22-222-2200-2-2200002i−2i2i−2ii2−i2i2−i22i−2i2-200000000000000i2−i22−22−22−22−20000i2−i200000
χ382-2-22-222-2200-2-2200002i−2i2i−2ii2−i2i2−i2−2i2i-2200000000000000i2−i2−22−222−22−20000−i2i200000
χ392-2-22-222-2200-2-2200002i−2i2i−2i−i2i2−i2i22i−2i2-200000000000000−i2i2−22−22−22−220000−i2i200000
χ402-2-22-222-2200-2-2200002i−2i2i−2i−i2i2−i2i2−2i2i-2200000000000000−i2i22−22−2−22−220000i2−i200000
χ412-2-22-222-2200-2-220000−2i2i−2i2ii2−i2i2−i22i−2i-2200000000000000i2−i22−22−2−22−220000−i2i200000
χ422-2-22-222-2200-2-220000−2i2i−2i2ii2−i2i2−i2−2i2i2-200000000000000i2−i2−22−22−22−220000i2−i200000
χ432-2-22-222-2200-2-220000−2i2i−2i2i−i2i2−i2i22i−2i-2200000000000000−i2i2−22−222−22−20000i2−i200000
χ442-2-22-222-2200-2-220000−2i2i−2i2i−i2i2−i2i2−2i2i2-200000000000000−i2i22−22−22−22−20000−i2i200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ474444-4-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ484444-4-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ494444-4-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ5044-4-44-44-44004-4-400000000000000000000004-4000000000000000000000000000
χ5144-4-44-44-44004-4-40000000000000000000000-44000000000000000000000000000
χ5244-4-44-44-4-400-444000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-44-44-4-400-44400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-44-4404-4000-4400000000000000000000002i2−2i2−2i22i200000000000000000000000
χ5544-4-4-44-4404-4000-440000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5644-4-4-44-440-440004-4000000000000004i−4i000000000000000000000000000000000
χ5744-4-4-44-440-440004-400000000000000−4i4i000000000000000000000000000000000
χ584-44-4-4-444444-44-4-4-44-400000000000000000000000000000000000000000000000
χ594-44-4-4-4444-4-4-44-444-4400000000000000000000000000000000000000000000000
χ604-44-4-4-444-4-4-44-44444-400000000000000000000000000000000000000000000000
χ614-4-444-4-440-44000-44002i22i2−2i2−2i200000000000000000000−2i22i2000000000000000000000
χ624-4-444-4-440-44000-4400−2i2−2i22i22i2000000000000000000002i2−2i2000000000000000000000
χ634-4-44-444-4-40044-4000000002i2−2i22i2−2i2000000000000000000−2i22i20000000000000000000
χ644-4-44-444-4-40044-400000000−2i22i2−2i22i20000000000000000002i2−2i20000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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