Finite Group Databasebeta

← Group #345014

Character table — Group #345014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-111-1-1-1-1-1-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-1-1-1-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-11111-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111111-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-11111-1-1-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111111111-1-11-1
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-1-1-1111-1
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-11-11111-1-111-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-11-11111111-1-111-1-1-1-1
χ172222222222-22-2-2-22-2-2000000002222-2-2-2-200000000000022-2-200-2200000000000000
χ182222222222-22-2-2-22-2-2000000002222-2-2-2-2000000000000-2-222002-200000000000000
χ192222222222-22-2-2-22-2-200000000-2-2-2-22222000000000000222200-2-200000000000000
χ202222222222-22-2-2-22-2-200000000-2-2-2-22222000000000000-2-2-2-2002200000000000000
χ2122222222-2-22-2222-2-2-22222-2-2-2-2000000000000000022220000-2-20000000000000000
χ2222222222-2-22-2222-2-2-22222-2-2-2-20000000000000000-2-2-2-20000220000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-22222000000000000000022-2-20000-220000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-222220000000000000000-2-22200002-20000000000000000
χ252-2222-2-2-22-20-200020022−2−222−2−2000022-2-22222−2−2−2−200002i−2i2i−2i00000000i2−i2i2−i2000000
χ262-2222-2-2-22-20-200020022−2−222−2−2000022-2-22222−2−2−2−20000−2i2i−2i2i00000000−i2i2−i2i2000000
χ272-2222-2-2-22-20-200020022−2−222−2−20000-2-222−2−2−2−2222200002i−2i−2i2i00000000i2−i2−i2i2000000
χ282-2222-2-2-22-20-200020022−2−222−2−20000-2-222−2−2−2−222220000−2i2i2i−2i00000000−i2i2i2−i2000000
χ292-2222-2-2-22-20-2000200−2−222−2−222000022-2-2−2−2−2−2222200002i−2i2i−2i00000000−i2i2−i2i2000000
χ302-2222-2-2-22-20-2000200−2−222−2−222000022-2-2−2−2−2−222220000−2i2i−2i2i00000000i2−i2i2−i2000000
χ312-2222-2-2-22-20-2000200−2−222−2−2220000-2-2222222−2−2−2−200002i−2i−2i2i00000000−i2i2i2−i2000000
χ322-2222-2-2-22-20-2000200−2−222−2−2220000-2-2222222−2−2−2−20000−2i2i2i−2i00000000i2−i2−i2i2000000
χ332-22-2-2-22200202-2-20002-22-2000022−2−22−22−222−2−222−2−22i−2i2i−2i0000000000000000i2−i2i2−i200
χ342-22-2-2-22200202-2-20002-22-2000022−2−22−22−222−2−222−2−2−2i2i−2i2i0000000000000000−i2i2−i2i200
χ352-22-2-2-22200202-2-20002-22-20000−2−222−22−22−2−222−2−2222i−2i2i−2i0000000000000000−i2i2−i2i200
χ362-22-2-2-22200202-2-20002-22-20000−2−222−22−22−2−222−2−222−2i2i−2i2i0000000000000000i2−i2i2−i200
χ372-22-2-2-22200202-2-2000-22-22000022−2−22−22−2−2−222−2−2222i−2i−2i2i0000000000000000i2−i2−i2i200
χ382-22-2-2-22200202-2-2000-22-22000022−2−22−22−2−2−222−2−222−2i2i2i−2i0000000000000000−i2i2i2−i200
χ392-22-2-2-22200202-2-2000-22-220000−2−222−22−2222−2−222−2−22i−2i−2i2i0000000000000000−i2i2i2−i200
χ402-22-2-2-22200202-2-2000-22-220000−2−222−22−2222−2−222−2−2−2i2i2i−2i0000000000000000i2−i2−i2i200
χ412-2-2-222-22222-2-2-22-2-2200000000000000002-22-22-22-20000000000002i−2i2i−2i0000000000
χ422-2-2-222-22222-2-2-22-2-2200000000000000002-22-22-22-2000000000000−2i2i−2i2i0000000000
χ432-2-2-222-22222-2-2-22-2-220000000000000000-22-22-22-220000000000002i−2i−2i2i0000000000
χ442-2-2-222-22222-2-2-22-2-220000000000000000-22-22-22-22000000000000−2i2i2i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-4000000000022−22−22220000000022−22−222222-2-2-2-22200000000000000000000000000
χ47444-4-44-4-4000000000022−22−222200000000−222222−22-2-22222-2-200000000000000000000000000
χ48444-4-44-4-40000000000−222222−220000000022−22−2222-2-22222-2-200000000000000000000000000
χ49444-4-44-4-40000000000−222222−2200000000−222222−2222-2-2-2-22200000000000000000000000000
χ5044-44-4-4-440040-44-4000000000000000000022−22−222222−22−222200000000000000000000000000
χ5144-44-4-4-440040-44-40000000000000000000−222222−22−222222−2200000000000000000000000000
χ5244-44-4-4-4400-404-4400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5344-44-4-4-4400-404-440000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5444-4-44-44-44-404000-400000000000000000022−2222−22−2222−222200000000000000000000000000
χ5544-4-44-44-44-404000-4000000000000000000−2222−222222−2222−2200000000000000000000000000
χ5644-4-44-44-4-440-4000400000000004i−4i4i−4i00000000000000000000000000000000000000
χ5744-4-44-44-4-440-400040000000000−4i4i−4i4i00000000000000000000000000000000000000
χ584-4444-4-4-4-4404000-4002222−22−22−22−222222000000000000000000000000000000000000000000
χ594-4444-4-4-4-4404000-400−22−2222222222−22−22000000000000000000000000000000000000000000
χ604-44-4-4-44400-40-444000000000002222−22−22−2222−22220000000000000000000000000000000000
χ614-44-4-4-44400-40-44400000000000−22−22222222−2222−220000000000000000000000000000000000
χ624-4-44-444-4000000000000002i2−2i2−2i22i22i2−2i2−2i22i200002-2-22-222-200000000000000000000000000
χ634-4-44-444-4000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000-222-22-2-2200000000000000000000000000
χ644-4-44-444-400000000000000−2i22i22i2−2i22i2−2i2−2i22i20000-222-22-2-2200000000000000000000000000
χ654-4-44-444-400000000000000−2i22i22i2−2i2−2i22i22i2−2i200002-2-22-222-200000000000000000000000000
χ664-4-4-444-4444-4-444-4-44-400000000000000000000000000000000000000000000000000
χ674-4-4-444-44-4-444-4-4444-400000000000000000000000000000000000000000000000000
χ684-4-4-444-44-4-4-4444-44-4400000000000000000000000000000000000000000000000000

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