Finite Group Databasebeta

← Group #340581

Character table — Group #340581

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-22-2-2-22-2-20000222200000022-2-2-2-200-2-200000000000000020000000
χ182222222222-22-2-2-22-2-200002222000000-2-2222200-2-2000000000000000-20000000
χ192222222222-22-2-2-22-2-20000-2-2-2-200000022-2-2220022000000000000000-20000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2000000-2-222-2-2002200000000000000020000000
χ2122222222-2-22-2222-2-2-22222000022-2-2-2-2000000-2-20000000000000020000000000
χ2222222222-2-22-2222-2-2-222220000-2-22222000000-2-200000000000000-20000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2000022-2-2220000002200000000000000-20000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000-2-222-2-2000000220000000000000020000000000
χ252-222-22-2-22-20-200020022−2−222-2-2000000002i−2i2i−2i2−200i2i2−i2−i2000022−2−20000i2−i200000
χ262-222-22-2-22-20-200020022−2−222-2-200000000−2i2i−2i2i2−200−i2−i2i2i2000022−2−20000−i2i200000
χ272-222-22-2-22-20-200020022−2−2-2-222000000002i−2i−2i2i2−200i2i2−i2−i20000−2−2220000−i2i200000
χ282-222-22-2-22-20-200020022−2−2-2-22200000000−2i2i2i−2i2−200−i2−i2i2i20000−2−2220000i2−i200000
χ292-222-22-2-22-20-2000200−2−22222-2-2000000002i−2i2i−2i−2200−i2−i2i2i20000−2−2220000−i2i200000
χ302-222-22-2-22-20-2000200−2−22222-2-200000000−2i2i−2i2i−2200i2i2−i2−i20000−2−2220000i2−i200000
χ312-222-22-2-22-20-2000200−2−222-2-222000000002i−2i−2i2i−2200−i2−i2i2i2000022−2−20000i2−i200000
χ322-222-22-2-22-20-2000200−2−222-2-22200000000−2i2i2i−2i−2200i2i2−i2−i2000022−2−20000−i2i200000
χ332-2-222-2-2222-2-22-22-2-220000000000000000000000002i−2i2i−2i2i2i−2i−2i000002-200000000
χ342-2-222-2-2222-2-22-22-2-220000000000000000000000002i−2i2i−2i−2i−2i2i2i00000-2200000000
χ352-2-222-2-2222-2-22-22-2-22000000000000000000000000−2i2i−2i2i2i2i−2i−2i00000-2200000000
χ362-2-222-2-2222-2-22-22-2-22000000000000000000000000−2i2i−2i2i−2i−2i2i2i000002-200000000
χ372-2-2-2222-200202-2-20002i−2i2i−2i2−22−2002i−2i2-2000000002−20000i2−i2i2−i2i2−i2i2−i20000002−2000
χ382-2-2-2222-200202-2-20002i−2i2i−2i2−22−200−2i2i-22000000002−20000−i2i2−i2i2i2−i2i2−i2000000−22000
χ392-2-2-2222-200202-2-20002i−2i2i−2i−22−22002i−2i2-200000000−220000−i2i2−i2i2−i2i2−i2i2000000−22000
χ402-2-2-2222-200202-2-20002i−2i2i−2i−22−2200−2i2i-2200000000−220000i2−i2i2−i2−i2i2−i2i20000002−2000
χ412-2-2-2222-200202-2-2000−2i2i−2i2i2−22−2002i−2i-22000000002−20000i2−i2i2−i2−i2i2−i2i2000000−22000
χ422-2-2-2222-200202-2-2000−2i2i−2i2i2−22−200−2i2i2-2000000002−20000−i2i2−i2i2−i2i2−i2i20000002−2000
χ432-2-2-2222-200202-2-2000−2i2i−2i2i−22−22002i−2i-2200000000−220000−i2i2−i2i2i2−i2i2−i20000002−2000
χ442-2-2-2222-200202-2-2000−2i2i−2i2i−22−2200−2i2i2-200000000−220000i2−i2i2−i2i2−i2i2−i2000000−22000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-40040-4-44000000000004-40000000000000000000000000000000000000
χ47444-44-4-4-40040-4-4400000000000-440000000000000000000000000000000000000
χ48444-44-4-4-400-4044-4000000000000000000000000000000022−22−2222000000000000000
χ49444-44-4-4-400-4044-40000000000000000000000000000000−222222−22000000000000000
χ5044-44-4-44-44-404000-40000000000000000000000000022−22−22220000000000000000000
χ5144-44-4-44-44-404000-400000000000000000000000000−222222−220000000000000000000
χ5244-44-4-44-4-440-4000400000000000000004i−4i0000000000000000000000000000000
χ5344-44-4-44-4-440-400040000000000000000−4i4i0000000000000000000000000000000
χ5444-4-4-44-4400000000002i2−2i2−2i22i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ5544-4-4-44-4400000000002i2−2i2−2i22i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ5644-4-4-44-440000000000−2i22i22i2−2i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ5744-4-4-44-440000000000−2i22i22i2−2i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ584-444-44-4-4-4404000-4002222−22−220000000000000000−22220000000000000000000000000
χ594-444-44-4-4-4404000-400−22−222222000000000000000022−220000000000000000000000000
χ604-4-444-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ614-4-444-4-44-4-444-44-44-4400000000000000000000000000000000000000000000000
χ624-4-444-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ634-4-4-4444-400-40-444000000022−2222−2200000000000000−222200000000000000000000000
χ644-4-4-4444-400-40-4440000000−2222−22220000000000000022−2200000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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