Finite Group Databasebeta

← Group #13040324

Character table — Group #13040324

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1124444551010101010112444455101010101022488881010202020202022488881010202020202022488881010202020202044816161616202040404040404481616161620204040404040
order12451020202244444224101020202244444444202020204444444888404040408888888888404040408888888444202020204444444444202020204444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ31111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i
χ41111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii
χ511-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-1
χ611-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-11
χ711-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii
χ811-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i
χ92-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-200000
χ102-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-2200000
χ11444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000
χ1244-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-1110000000
χ134-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i50000000
χ144-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i50000000
χ151111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ171111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1-1111−i−iii
χ181111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1-1111ii−i−i
χ1911-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-1-1-11-1-111-1-11-11-11-1-11-1-111-1-11-11-11
χ2011-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-11-1-11-1-111-1-111-11-1-1-11-1-111-1-111-11-1
χ2111-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii-1-11-1-11111-1−iii−i-1-11-1-11111-1−iii−i
χ2211-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i-1-11-1-11111-1i−i−ii-1-11-1-11111-1i−i−ii
χ232-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-200000-220-2200-2200000-220-2200-2200000
χ242-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-2200000-220-22002-200000-220-22002-200000
χ25444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000-4-4-411110000000-4-4-411110000000
χ2644-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-1110000000-4-4411-1-10000000-4-4411-1-10000000
χ274-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i50000000-4401-1−i5i50000000-4401-1−i5i50000000
χ284-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i50000000-4401-1i5−i50000000-4401-1i5−i50000000
χ29111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1-1111−i−iii1111111-1-1-1ii−i−i-1-1-1-1-1-1-1111−i−iii
χ321111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1-1111ii−i−i1111111-1-1-1−i−iii-1-1-1-1-1-1-1111ii−i−i
χ3311-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-1-1-11-1-111-1-11-11-11-1-11-1-111-1-11-11-1111-111-1-111-11-11-1-1-11-1-111-1-11-11-11
χ3411-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-11-1-11-1-111-1-111-11-1-1-11-1-111-1-111-11-111-111-1-111-1-11-11-1-11-1-111-1-111-11-1
χ3511-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii-1-11-1-11111-1−iii−i-1-11-1-11111-1−iii−i11-111-1-1-1-11i−i−ii-1-11-1-11111-1−iii−i
χ3611-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i-1-11-1-11111-1i−i−ii-1-11-1-11111-1i−i−ii11-111-1-1-1-11−iii−i-1-11-1-11111-1i−i−ii
χ372-202-2002-2000002-202-2002-2000002-202-2002-200000-220-2200-2200000-220-2200-22000002-202-2002-200000-220-2200-2200000
χ382-202-200-22000002-202-200-22000002-202-200-2200000-220-22002-200000-220-22002-2000002-202-200-2200000-220-22002-200000
χ39444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000-4-4-411110000000-4-4-411110000000444-1-1-1-10000000-4-4-411110000000
χ4044-4-1-111000000044-4-1-111000000044-4-1-1110000000-4-4411-1-10000000-4-4411-1-1000000044-4-1-1110000000-4-4411-1-10000000
χ414-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i50000000-4401-1−i5i50000000-4401-1−i5i500000004-40-11i5−i50000000-4401-1−i5i50000000
χ424-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i50000000-4401-1i5−i50000000-4401-1i5−i500000004-40-11−i5i50000000-4401-1i5−i50000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ441111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ451111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1-1111−i−iii1111111-1-1-1ii−i−i
χ461111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1-1111ii−i−i1111111-1-1-1−i−iii
χ4711-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-1-1-11-1-111-1-11-11-11-1-11-1-111-1-11-11-11-1-11-1-111-1-11-11-1111-111-1-111-11-11-1
χ4811-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-11-1-11-1-111-1-111-11-1-1-11-1-111-1-111-11-1-1-11-1-111-1-111-11-111-111-1-111-1-11-11
χ4911-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii-1-11-1-11111-1−iii−i-1-11-1-11111-1−iii−i-1-11-1-11111-1−iii−i11-111-1-1-1-11i−i−ii
χ5011-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i-1-11-1-11111-1i−i−ii-1-11-1-11111-1i−i−ii-1-11-1-11111-1i−i−ii11-111-1-1-1-11−iii−i
χ512-202-2002-2000002-202-2002-2000002-202-2002-200000-220-2200-2200000-220-2200-2200000-220-2200-22000002-202-2002-200000
χ522-202-200-22000002-202-200-22000002-202-200-2200000-220-22002-200000-220-22002-200000-220-22002-2000002-202-200-2200000
χ53444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000-4-4-411110000000-4-4-411110000000-4-4-411110000000444-1-1-1-10000000
χ5444-4-1-111000000044-4-1-111000000044-4-1-1110000000-4-4411-1-10000000-4-4411-1-10000000-4-4411-1-1000000044-4-1-1110000000
χ554-40-11i5−i500000004-40-11i5−i500000004-40-11i5−i50000000-4401-1−i5i50000000-4401-1−i5i50000000-4401-1−i5i500000004-40-11i5−i50000000
χ564-40-11−i5i500000004-40-11−i5i500000004-40-11−i5i50000000-4401-1i5−i50000000-4401-1i5−i50000000-4401-1i5−i500000004-40-11−i5i50000000
χ572222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ582222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ592222222-2-2-22i2i−2i−2i2222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ602222222-2-2-2−2i−2i2i2i2222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ6122-222-2-222-22-22-222-222-2-222-22-22-2-2-22-2-222-2-22-22-2200000000000000000000000000000000000000000000000000000000
χ6222-222-2-222-2-22-2222-222-2-222-2-22-22-2-22-2-222-2-222-22-200000000000000000000000000000000000000000000000000000000
χ6322-222-2-2-2-222i−2i−2i2i22-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ6422-222-2-2-2-22−2i2i2i−2i22-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ654-404-4004-4000004-404-4004-400000-440-4400-440000000000000000000000000000000000000000000000000000000000000
χ664-404-400-44000004-404-400-4400000-440-44004-40000000000000000000000000000000000000000000000000000000000000
χ67888-2-2-2-20000000888-2-2-2-20000000-8-8-82222000000000000000000000000000000000000000000000000000000000000000
χ6888-8-2-222000000088-8-2-2220000000-8-8822-2-2000000000000000000000000000000000000000000000000000000000000000
χ698-80-222i5−2i500000008-80-222i5−2i50000000-8802-2−2i52i5000000000000000000000000000000000000000000000000000000000000000
χ708-80-22−2i52i500000008-80-22−2i52i50000000-8802-22i5−2i5000000000000000000000000000000000000000000000000000000000000000
χ7122222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000022222222222222−2−2−2−2−2−2−2−2−2−2−2−2−2−20000000000000000000000000000
χ722222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000002222222222−2−2−2−2−2−2−2−2−2−2−2−2−2−222220000000000000000000000000000
χ732222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i000000000000002222222−2−2−2i2i2−i2−i2−2−2−2−2−2−2−2222−i2−i2i2i20000000000000000000000000000
χ742222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i000000000000002222222−2−2−2−i2−i2i2i2−2−2−2−2−2−2−2222i2i2−i2−i20000000000000000000000000000
χ7522-222-2-222-22-22-2-2-22-2-222-2-22-22-220000000000000022−222−2−222−22−22−2−2−22−2−222−2−22−22−220000000000000000000000000000
χ7622-222-2-222-2-22-22-2-22-2-222-2-222-22-20000000000000022−222−2−222−2−22−22−2−22−2−222−2−222−22−20000000000000000000000000000
χ7722-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i0000000000000022−222−2−2−2−22i2−i2−i2i2−2−22−2−22222−2−i2i2i2−i20000000000000000000000000000
χ7822-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i0000000000000022−222−2−2−2−22−i2i2i2−i2−2−22−2−22222−2i2−i2−i2i20000000000000000000000000000
χ794-404-4004-400000-440-4400-44000000000000000000022−22022−220022−2200000−22220−222200−2222000000000000000000000000000000000
χ804-404-400-4400000-440-44004-4000000000000000000022−22022−2200−222200000−22220−22220022−22000000000000000000000000000000000
χ81888-2-2-2-20000000-8-8-82222000000000000000000000424242−2−2−2−20000000−42−42−42222200000000000000000000000000000000000
χ8288-8-2-2220000000-8-8822-2-20000000000000000000004242−42−2−2220000000−42−424222−2−200000000000000000000000000000000000
χ838-80-222i5−2i50000000-8802-2−2i52i500000000000000000000042−420−22i10−i100000000−424202−2−i10i1000000000000000000000000000000000000
χ848-80-22−2i52i50000000-8802-22i5−2i500000000000000000000042−420−22−i10i100000000−424202−2i10−i1000000000000000000000000000000000000
χ8522222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000−2−2−2−2−2−2−2−2−2−2−2−2−2−2222222222222220000000000000000000000000000
χ862222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000−2−2−2−2−2−2−2−2−2−222222222222222−2−2−2−20000000000000000000000000000
χ872222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i00000000000000−2−2−2−2−2−2−2222−i2−i2i2i22222222−2−2−2i2i2−i2−i20000000000000000000000000000
χ882222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i00000000000000−2−2−2−2−2−2−2222i2i2−i2−i22222222−2−2−2−i2−i2i2i20000000000000000000000000000
χ8922-222-2-222-22-22-2-2-22-2-222-2-22-22-2200000000000000−2−22−2−222−2−22−22−2222−222−2−222−22−22−20000000000000000000000000000
χ9022-222-2-222-2-22-22-2-22-2-222-2-222-22-200000000000000−2−22−2−222−2−222−22−222−222−2−222−2−22−220000000000000000000000000000
χ9122-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i00000000000000−2−22−2−22222−2−i2i2i2−i222−222−2−2−2−22i2−i2−i2i20000000000000000000000000000
χ9222-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i00000000000000−2−22−2−22222−2i2−i2−i2i222−222−2−2−2−22−i2i2i2−i20000000000000000000000000000
χ934-404-4004-400000-440-4400-440000000000000000000−22220−222200−22220000022−22022−220022−22000000000000000000000000000000000
χ944-404-400-4400000-440-44004-40000000000000000000−22220−22220022−220000022−22022−2200−2222000000000000000000000000000000000
χ95888-2-2-2-20000000-8-8-82222000000000000000000000−42−42−4222220000000424242−2−2−2−200000000000000000000000000000000000
χ9688-8-2-2220000000-8-8822-2-2000000000000000000000−42−424222−2−200000004242−42−2−22200000000000000000000000000000000000
χ978-80-222i5−2i50000000-8802-2−2i52i5000000000000000000000−424202−2−i10i10000000042−420−22i10−i1000000000000000000000000000000000000
χ988-80-22−2i52i50000000-8802-22i5−2i5000000000000000000000−424202−2i10−i10000000042−420−22−i10i1000000000000000000000000000000000000

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