Finite Group Databasebeta

← Group #277706

Character table — Group #277706

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11111-1-1-11-1-11-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1111-1-11-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1111-1-1-1-1-1-1111-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111111-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111-1-1-1-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-11-1-1-111-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1111111-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1111-1-111-1-11-1
χ172222222222-2-22-22-2-2-2000022220000-2-2-2-200000000220000-2-2-200000020000000000
χ182222222222-2-22-22-2-2-2000022220000-2-2-2-200000000-2-20000222000000-20000000000
χ192222222222-2-22-22-2-2-20000-2-2-2-20000222200000000220000-2-22000000-20000000000
χ202222222222-2-22-22-2-2-20000-2-2-2-20000222200000000-2-2000022-200000020000000000
χ2122222222-2-222-22-22-2-222220000-2-2-2-20000000000000022-2-2000200-20000000000000
χ2222222222-2-222-22-22-2-222220000-2-2-2-200000000000000-2-222000-20020000000000000
χ2322222222-2-222-22-22-2-2-2-2-2-200002222000000000000002222000-200-20000000000000
χ2422222222-2-222-22-22-2-2-2-2-2-20000222200000000000000-2-2-2-200020020000000000000
χ252-22-2-22-2222-2-2-22-222-222-2-2000022-2-200000000000000000000002i−2i02i−2i00000000000
χ262-22-2-22-2222-2-2-22-222-222-2-2000022-2-20000000000000000000000−2i2i0−2i2i00000000000
χ272-22-2-22-2222-2-2-22-222-2-2-2220000-2-22200000000000000000000002i−2i0−2i2i00000000000
χ282-22-2-22-2222-2-2-22-222-2-2-2220000-2-2220000000000000000000000−2i2i02i−2i00000000000
χ292-22-2-22-22-2-2222-22-22-200000000000000002i2i2i2i−2i−2i−2i−2i2-200002-200000000002i−2i000000
χ302-22-2-22-22-2-2222-22-22-200000000000000002i2i2i2i−2i−2i−2i−2i-220000-220000000000−2i2i000000
χ312-22-2-22-22-2-2222-22-22-20000000000000000−2i−2i−2i−2i2i2i2i2i2-200002-20000000000−2i2i000000
χ322-22-2-22-22-2-2222-22-22-20000000000000000−2i−2i−2i−2i2i2i2i2i-220000-2200000000002i−2i000000
χ332-22-2-22-22-2-2-2-22222-2222-2-20000-2-2220000000000002-20000-22000000002-200000000
χ342-22-2-22-22-2-2-2-22222-2222-2-20000-2-222000000000000-2200002-200000000-2200000000
χ352-22-2-22-22-2-2-2-22222-22-2-222000022-2-20000000000002-20000-2200000000-2200000000
χ362-22-2-22-22-2-2-2-22222-22-2-222000022-2-2000000000000-2200002-2000000002-200000000
χ372-2-222-2-22002-2020-200000022−2−22i−2i2i−2i22−2−2i2i2−i2−i2i2i2−i2−i2002-22i−2i000000000000002−2i2−i200
χ382-2-222-2-22002-2020-200000022−2−22i−2i2i−2i22−2−2i2i2−i2−i2i2i2−i2−i200-22−2i2i00000000000000−22−i2i200
χ392-2-222-2-22002-2020-200000022−2−2−2i2i−2i2i22−2−2−i2−i2i2i2−i2−i2i2i2002-2−2i2i000000000000002−2−i2i200
χ402-2-222-2-22002-2020-200000022−2−2−2i2i−2i2i22−2−2−i2−i2i2i2−i2−i2i2i200-222i−2i00000000000000−22i2−i200
χ412-2-222-2-22002-2020-2000000−2−2222i−2i2i−2i−2−222−i2−i2i2i2−i2−i2i2i2002-22i−2i00000000000000−22−i2i200
χ422-2-222-2-22002-2020-2000000−2−2222i−2i2i−2i−2−222−i2−i2i2i2−i2−i2i2i200-22−2i2i000000000000002−2i2−i200
χ432-2-222-2-22002-2020-2000000−2−222−2i2i−2i2i−2−222i2i2−i2−i2i2i2−i2−i2002-2−2i2i00000000000000−22i2−i200
χ442-2-222-2-22002-2020-2000000−2−222−2i2i−2i2i−2−222i2i2−i2−i2i2i2−i2−i200-222i−2i000000000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ464444-4-4-4-4000000000022−2222−220000000022−2222−222-22-22-22-200000000000000000000000000
χ474444-4-4-4-4000000000022−2222−2200000000−2222−2222-22-22-22-2200000000000000000000000000
χ484444-4-4-4-40000000000−2222−22220000000022−2222−22-22-22-22-2200000000000000000000000000
χ494444-4-4-4-40000000000−2222−222200000000−2222−22222-22-22-22-200000000000000000000000000
χ5044-4-444-4-44-40040-4000000000000000000022−22−2222−222222−2200000000000000000000000000
χ5144-4-444-4-44-40040-40000000000000000000−222222−2222−22−222200000000000000000000000000
χ5244-4-444-4-4-4400-40400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5344-4-444-4-4-4400-4040000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5444-4-4-4-444004-40-4040000000000000000002222−22−22−22−22222200000000000000000000000000
χ5544-4-4-4-444004-40-404000000000000000000−22−2222222222−22−2200000000000000000000000000
χ5644-4-4-4-44400-44040-400000000004i−4i−4i4i00000000000000000000000000000000000000
χ5744-4-4-4-44400-44040-40000000000−4i4i4i−4i00000000000000000000000000000000000000
χ584-44-44-44-4000000000022−22−22222i2−2i2−2i22i2000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ594-44-44-44-4000000000022−22−2222−2i22i22i2−2i200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ604-44-44-44-40000000000−222222−222i2−2i2−2i22i200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ614-44-44-44-40000000000−222222−22−2i22i22i2−2i2000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ624-44-4-44-444444-4-4-4-4-4400000000000000000000000000000000000000000000000000
χ634-4-444-4-4400-440-4040000002222−22−220000−22−2222220000000000000000000000000000000000
χ644-4-444-4-4400-440-404000000−22−22222200002222−22−220000000000000000000000000000000000
χ654-4-44-444-44-400-4040000000000000004-4-440000000000000000000000000000000000
χ664-4-44-444-44-400-404000000000000000-444-40000000000000000000000000000000000
χ674-4-44-444-4-440040-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ684-4-44-444-4-440040-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000

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