Finite Group Databasebeta

← Group #10763545

Character table — Group #10763545

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222233334444444444444444444466666666668888888888888888881212121212121212121216161616161616162424242424242424
order12222234444444466644444466888888881212121212121212222244444444448888121224242424242424244488888888121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111-1-1-111-1-1-11111111-1111iiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1ii−i−i1-1iiii−i−i−i−i1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i
χ101111111-1-1-111-1-1-11111111-1111iiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii1-1iiii−i−i−i−i1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii
χ111111111-1-1-111-1-1-11111111-1111−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1−i−iii1-1−i−i−i−iiiii1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii
χ121111111-1-1-111-1-1-11111111-1111−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i1-1−i−i−i−iiiii1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i
χ131111111-1-1-111-1-1-1111-1-1-1-1-1111iiii−i−i−i−i11-1-1-1-1-1-11111-1-1-1-11111-1-1ii−i−i1-1iiii−i−i−i−i-11−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii
χ141111111-1-1-111-1-1-1111-1-1-1-1-1111iiii−i−i−i−i11-1-1-1-1-1-11111-1-1-1-111-1-111−i−iii1-1iiii−i−i−i−i-11−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i
χ151111111-1-1-111-1-1-1111-1-1-1-1-1111−i−i−i−iiiii11-1-1-1-1-1-11111-1-1-1-11111-1-1−i−iii1-1−i−i−i−iiiii-11iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i
χ161111111-1-1-111-1-1-1111-1-1-1-1-1111−i−i−i−iiiii11-1-1-1-1-1-11111-1-1-1-111-1-111ii−i−i1-1−i−i−i−iiiii-11iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii
χ171111-1-1111-1-1-1-1-1-1111111111-1-1ii−i−iii−i−i-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1i−ii−i11ii−i−iii−i−i11ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ181111-1-1111-1-1-1-1-1-1111111111-1-1ii−i−iii−i−i-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11−ii−ii11ii−i−iii−i−i11ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ191111-1-1111-1-1-1-1-1-1111111111-1-1−i−iii−i−iii-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1−ii−ii11−i−iii−i−iii11−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ201111-1-1111-1-1-1-1-1-1111111111-1-1−i−iii−i−iii-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11i−ii−i11−i−iii−i−iii11−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ211111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-1-1-1-1-1111111111-11-1i−ii−i11ii−i−iii−i−i-1-1−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ221111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-1-1-1-1-111111111-11-11−ii−ii11ii−i−iii−i−i-1-1−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ231111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1−i−iii−i−iii-1-111-1-1-1-1-1-1111111111-11-1−ii−ii11−i−iii−i−iii-1-1ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ241111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1−i−iii−i−iii-1-111-1-1-1-1-1-111111111-11-11i−ii−i11−i−iii−i−iii-1-1ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ251111-1-11-1-11-1-11111111111-11-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-111-111-1-1-1-1111-111-1-1-1-1111-1-111-1-111-1-111-1-11
χ261111-1-11-1-11-1-11111111111-11-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-111-1-111-11-111-1-1-1-1111-111-1-1-1-111-111-1-111-1-111-1-111-1
χ271111-1-11-1-11-1-11111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-111-11-1-1-11111-1-11-1-1-11111-1-11-1-11-111-11-1-11-111-1
χ281111-1-11-1-11-1-11111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-111-11-1-111-1-1-11111-1-11-1-1-11111-1-1-111-11-1-11-111-11-1-11
χ291111-1-11-1-11-1-1111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11-1-111-1-111-111-1-1-1-111-11-1-11111-1-11-1-111-1-11-111-1-111-1
χ301111-1-11-1-11-1-1111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-111-1-111-11-111-1-1-1-111-11-1-11111-1-1-111-1-111-11-1-111-1-11
χ311111-1-11-1-11-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-11-1-11-111-11-1-1-11111-1-1-1111-1-1-1-1111-1-11-111-1-111-11-1-11
χ321111-1-11-1-11-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-111-11-1-111-1-1-11111-1-1-1111-1-1-1-111-111-11-1-111-1-11-111-1
χ332222222222-2-2-2-222222222-2-22200000000-2-2222-2-22222222-2-2-2-200000000-2-200000000-2-2000000000000000000000000
χ342222222222-2-2-2-22222-2-2-2-2-2-22200000000-2-2222-2-22-2-2-2-2-2-2222200000000-2-20000000022000000000000000000000000
χ352222222-2-2-2-2-222-222222222-22200000000-2-2-2-2-222-2-2-2-2-222-2-22200000000-2200000000-22000000000000000000000000
χ362222222-2-2-2-2-222-2222-2-2-2-22-22200000000-2-2-2-2-222-22222-2-222-2-200000000-22000000002-2000000000000000000000000
χ37222222-122222222-1-1-1000022-1-122222222-1-1-1-1-1-1-1-1000000000022222222-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-100000000
χ38222222-122222222-1-1-1000022-1-122222222-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000001111111100000000
χ39222222-122222222-1-1-1000022-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000002222-2-2-2-2-1-1111111110000000000-1-1-1-1111100000000
χ40222222-122222222-1-1-1000022-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000-2-2-2-22222-1-11111111100000000001111-1-1-1-100000000
χ41222222-1-2-2-222-2-2-2-1-1-10000-22-1-12i2i2i2i−2i−2i−2i−2i-1-1111111000000000022-2-22i2i−2i−2i-11−i−i−i−iiiii0000000000-1-111−i−iii00000000
χ42222222-1-2-2-222-2-2-2-1-1-10000-22-1-12i2i2i2i−2i−2i−2i−2i-1-11111110000000000-2-222−2i−2i2i2i-11−i−i−i−iiiii000000000011-1-1ii−i−i00000000
χ43222222-1-2-2-222-2-2-2-1-1-10000-22-1-1−2i−2i−2i−2i2i2i2i2i-1-1111111000000000022-2-2−2i−2i2i2i-11iiii−i−i−i−i0000000000-1-111ii−i−i00000000
χ44222222-1-2-2-222-2-2-2-1-1-10000-22-1-1−2i−2i−2i−2i2i2i2i2i-1-11111110000000000-2-2222i2i−2i−2i-11iiii−i−i−i−i000000000011-1-1−i−iii00000000
χ452222-2-2222-22222-22222222-2-2-2-2000000002222-222-222-2-2-2-2222200000000-2-200000000-2-2000000000000000000000000
χ462222-2-2222-22222-2222-2-2-2-2-2-2-2-2000000002222-222-2-2-22222-2-2-2-200000000-2-20000000022000000000000000000000000
χ472222-2-22-2-2222-2-2222222222-2-2-20000000022-2-22-2-22-2-222-2-222-2-200000000-2200000000-22000000000000000000000000
χ482222-2-22-2-2222-2-22222-2-2-2-22-2-2-20000000022-2-22-2-2222-2-222-2-22200000000-22000000002-2000000000000000000000000
χ492222-2-2-122-2-2-2-2-2-2-1-1-1000022112i2i−2i−2i2i2i−2i−2i11-1-1111100000000002-22-22i−2i2i−2i-1-1−i−iii−i−iii0000000000-11-11−ii−ii00000000
χ502222-2-2-122-2-2-2-2-2-2-1-1-1000022112i2i−2i−2i2i2i−2i−2i11-1-111110000000000-22-22−2i2i−2i2i-1-1−i−iii−i−iii00000000001-11-1i−ii−i00000000
χ512222-2-2-122-2-2-2-2-2-2-1-1-100002211−2i−2i2i2i−2i−2i2i2i11-1-1111100000000002-22-2−2i2i−2i2i-1-1ii−i−iii−i−i0000000000-11-11i−ii−i00000000
χ522222-2-2-122-2-2-2-2-2-2-1-1-100002211−2i−2i2i2i−2i−2i2i2i11-1-111110000000000-22-222i−2i2i−2i-1-1ii−i−iii−i−i00000000001-11-1−ii−ii00000000
χ532222-2-2-1-2-22-2-2222-1-1-10000-221122-2-2-2-2221111-1-1-1-100000000002-2-222-2-22-11-1-11111-1-10000000000-111-1-111-100000000
χ542222-2-2-1-2-22-2-2222-1-1-10000-221122-2-2-2-2221111-1-1-1-10000000000-222-2-222-2-11-1-11111-1-100000000001-1-111-1-1100000000
χ552222-2-2-1-2-22-2-2222-1-1-10000-2211-2-22222-2-21111-1-1-1-100000000002-2-22-222-2-1111-1-1-1-1110000000000-111-11-1-1100000000
χ562222-2-2-1-2-22-2-2222-1-1-10000-2211-2-22222-2-21111-1-1-1-10000000000-222-22-2-22-1111-1-1-1-11100000000001-1-11-111-100000000
χ5722-2-22-222-220000-22-2-222-2-2002-22−22−22−22−2002-2200-22-22-22-2000000000000002−22−22−22−2002−22−22−22−20000000000000000
χ5822-2-22-222-220000-22-2-222-2-2002-2−22−22−22−22002-2200-22-22-22-200000000000000−22−22−22−2200−22−22−22−220000000000000000
χ5922-2-22-222-220000-22-2-2-2-222002-22−22−22−22−2002-2200-2-22-22-22000000000000002−22−22−22−200−22−22−22−220000000000000000
χ6022-2-22-222-220000-22-2-2-2-222002-2−22−22−22−22002-2200-2-22-22-2200000000000000−22−22−22−22002−22−22−22−20000000000000000
χ6122-2-22-22-22-2000022-2-222-2-2002-2i2−i2i2−i2−i2i2−i2i200-22-2002-22-222-200000000000000i2−i2i2−i2−i2i2−i2i200i2−i2i2−i2−i2i2−i2i20000000000000000
χ6222-2-22-22-22-2000022-2-222-2-2002-2−i2i2−i2i2i2−i2i2−i200-22-2002-22-222-200000000000000−i2i2−i2i2i2−i2i2−i200−i2i2−i2i2i2−i2i2−i20000000000000000
χ6322-2-22-22-22-2000022-2-2-2-222002-2i2−i2i2−i2−i2i2−i2i200-22-20022-22-2-2200000000000000i2−i2i2−i2−i2i2−i2i200−i2i2−i2i2i2−i2i2−i20000000000000000
χ6422-2-22-22-22-2000022-2-2-2-222002-2−i2i2−i2i2i2−i2i2−i200-22-20022-22-2-2200000000000000−i2i2−i2i2i2−i2i2−i200i2−i2i2−i2−i2i2−i2i20000000000000000
χ6522-2-2-2222-2-2000022-2-222-2-200-22i2−i2−i2i2i2−i2−i2i2002-2-20022-2-22-2200000000000000i2−i2−i2i2i2−i2−i2i200i2−i2−i2i2i2−i2−i2i20000000000000000
χ6622-2-2-2222-2-2000022-2-222-2-200-22−i2i2i2−i2−i2i2i2−i2002-2-20022-2-22-2200000000000000−i2i2i2−i2−i2i2i2−i200−i2i2i2−i2−i2i2i2−i20000000000000000
χ6722-2-2-2222-2-2000022-2-2-2-22200-22i2−i2−i2i2i2−i2−i2i2002-2-2002-222-22-200000000000000i2−i2−i2i2i2−i2−i2i200−i2i2i2−i2−i2i2i2−i20000000000000000
χ6822-2-2-2222-2-2000022-2-2-2-22200-22−i2i2i2−i2−i2i2i2−i2002-2-2002-222-22-200000000000000−i2i2i2−i2−i2i2i2−i200i2−i2−i2i2i2−i2−i2i20000000000000000
χ6922-2-2-222-2220000-22-2-222-2-200-222−2−22−222−200-22200-2-222-2-22000000000000002−2−22−222−2002−2−22−222−20000000000000000
χ7022-2-2-222-2220000-22-2-222-2-200-22−222−22−2−2200-22200-2-222-2-2200000000000000−222−22−2−2200−222−22−2−220000000000000000
χ7122-2-2-222-2220000-22-2-2-2-22200-222−2−22−222−200-22200-22-2-222-2000000000000002−2−22−222−200−222−22−2−220000000000000000
χ7222-2-2-222-2220000-22-2-2-2-22200-22−222−22−2−2200-22200-22-2-222-200000000000000−222−22−2−22002−2−22−222−20000000000000000
χ73444444-2444-4-4-4-44-2-2-20000-4-4-2-20000000022-2-2-222-2000000000000000000220000000000000000000000000000000000
χ74444444-2-4-4-4-4-444-4-2-2-200004-4-2-20000000022222-2-220000000000000000002-20000000000000000000000000000000000
χ754444-4-4-244-44444-4-2-2-20000-4-42200000000-2-2-2-22-2-22000000000000000000220000000000000000000000000000000000
χ764444-4-4-2-4-4444-4-44-2-2-200004-42200000000-2-222-222-20000000000000000002-20000000000000000000000000000000000
χ7744-4-44-4-24-440000-4-222000000-2222−2222−2222−2222−2200-22-200200000000000000000000−22−22−22−2200000000000000000000000000
χ7844-4-44-4-24-440000-4-222000000-22−2222−2222−2222−222200-22-2002000000000000000000002−22−22−22−200000000000000000000000000
χ7944-4-44-4-2-44-400004-222000000-222i2−2i22i2−2i2−2i22i2−2i22i2002-2200-200000000000000000000−i2i2−i2i2i2−i2i2−i200000000000000000000000000
χ8044-4-44-4-2-44-400004-222000000-22−2i22i2−2i22i22i2−2i22i2−2i2002-2200-200000000000000000000i2−i2i2−i2−i2i2−i2i200000000000000000000000000
χ8144-4-4-44-24-4-400004-2220000002-22i2−2i2−2i22i22i2−2i2−2i22i200-22200-200000000000000000000−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ8244-4-4-44-24-4-400004-2220000002-2−2i22i22i2−2i2−2i22i22i2−2i200-22200-200000000000000000000i2−i2−i2i2i2−i2−i2i200000000000000000000000000
χ8344-4-4-44-2-4440000-4-2220000002-222−22−2222−222222−22002-2-200200000000000000000000−222−22−2−2200000000000000000000000000
χ8444-4-4-44-2-4440000-4-2220000002-2−222222−2222−22−2222002-2-2002000000000000000000002−2−22−222−200000000000000000000000000
χ854-44-4004000004-40-4-444i−4i4i−4i000000000000000004-40000000004i−4i00000000000000000000000000000000000000000000
χ864-44-4004000004-40-4-44−4i4i−4i4i000000000000000004-4000000000−4i4i00000000000000000000000000000000000000000000
χ874-44-400400000-440-4-444i−4i4i−4i00000000000000000-44000000000−4i4i00000000000000000000000000000000000000000000
χ884-44-400400000-440-4-44−4i4i−4i4i00000000000000000-440000000004i−4i00000000000000000000000000000000000000000000
χ894-4-440040004-4000-44-44i−4i−4i4i0000000000004-40000000000004i−4i0000000000000000000000000000000000000000000000
χ904-4-440040004-4000-44-4−4i4i4i−4i0000000000004-4000000000000−4i4i0000000000000000000000000000000000000000000000
χ914-4-44004000-44000-44-44i−4i−4i4i000000000000-44000000000000−4i4i0000000000000000000000000000000000000000000000
χ924-4-44004000-44000-44-4−4i4i4i−4i000000000000-440000000000004i−4i0000000000000000000000000000000000000000000000
χ938-88-800-4000008-8044-4000000000000000000000-440000000000000000000000000000000000000000000000000000000
χ948-88-800-400000-88044-40000000000000000000004-40000000000000000000000000000000000000000000000000000000
χ958-8-8800-40008-80004-440000000000000000-44000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4000-880004-4400000000000000004-4000000000000000000000000000000000000000000000000000000000000

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