Finite Group Databasebeta

← Group #13145745

Character table — Group #13145745

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636363636363636363636363636
order122222222233366666666666666666666633333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-11-11-11-111111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-11-11-11-111111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-1-11-11-11-111111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-1-11-11-11-111111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-1-11-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ1411-1-11-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ1511-1-11-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ1611-1-11-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ17222222222222-12222-12222-1-122-1-122-1-1222-1-1-1-12-12-1222-1222-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222222-12222-12222-1-122-1-122-1-1222-1-1-1-12-12-1222-1222-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000
χ1922222222222-12222-1222-1-122-1-1222222-1-1-12-1-1-1-12-1222-1222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ2022222222222-12222-1222-1-122-1-1222222-1-1-12-1-1-1-12-1222-1222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111
χ212222222222-122-1-1-122-1-122222222-1-12222-1-12-1-12222-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-10000000000000000
χ222222222222-122-1-1-122-1-122222222-1-12222-1-12-1-12222-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000111111110000000000000000
χ23222222-2-2-2-222-12222-12222-1-1-2-2112211-2-22-1-1-1-12-12-1-2-2-21-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100002i2i−2i−2i000000000000−i−i−i−iiiii00000000
χ24222222-2-2-2-222-12222-12222-1-1-2-2112211-2-22-1-1-1-12-12-1-2-2-21-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000−2i−2i2i2i000000000000iiii−i−i−i−i00000000
χ25222222-2-2-2-22-12222-1222-1-12211-2-222-2-211-12-1-1-1-12-12-2-21-2-2-21-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000000002i2i−2i−2i0000000000000000−i−i−i−iiiii
χ26222222-2-2-2-22-12222-1222-1-12211-2-222-2-211-12-1-1-1-12-12-2-21-2-2-21-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i
χ27222222-2-2-2-2-122-1-1-122-1-12222-2-2-2-2-1-1-2-2-2-2-1-12-1-1222211-2-211-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111122-2-200000000-1-1-1-111110000000000000000
χ28222222-2-2-2-2-122-1-1-122-1-12222-2-2-2-2-1-1-2-2-2-2-1-12-1-1222211-2-211-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-2-222000000001111-1-1-1-10000000000000000
χ292222-2-22-2-222222-2-222-2-2222222-2-222-2-22222222-2-2-2-22-2-222-2-222-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-222-2-222-2-222-2-22222-2-2-2-222-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ302222-2-22-2-2222-12-2-22-1-2-222-1-122112211222-1-1-1-1-21-212-2-2-12-2-2-12-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-11111000000000000000000003−33−33−33−300000000
χ312222-2-22-2-2222-12-2-22-1-2-222-1-122112211222-1-1-1-1-21-212-2-2-12-2-2-12-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111100000000000000000000−33−33−33−3300000000
χ322222-2-22-2-222-122-2-2-12-2-2-1-122-1-1-2-222-2-2-1-1-12-1-1-11-21-22-2122-212-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ332222-2-22-2-222-122-2-2-12-2-2-1-122-1-1-2-222-2-2-1-1-12-1-1-11-21-22-2122-212-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ342222-2-22-2-22-122-1112211222222-2-2-1-1-2-222-1-12-1-1-2-2-2-2-11-22-11-22-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111000000000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ352222-2-22-2-22-122-1112211222222-2-2-1-1-2-222-1-12-1-1-2-2-2-2-11-22-11-22-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111000000000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ362222-2-2-222-22222-2-222-2-22222-2-2222222-2-222222-2-2-2-2-222-2-222-22-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-222-2-222-2-222-2-2-2-22222000000000000000000000000000000000000
χ372222-2-2-222-222-12-2-22-1-2-222-1-1-2-2-1-122-1-1-2-22-1-1-1-1-21-21-2221-22212-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-11111-2-22211-1-111-1-11111-1-1-1-1-2-22211-1-111-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ382222-2-2-222-222-12-2-22-1-2-222-1-1-2-2-1-122-1-1-2-22-1-1-1-1-21-21-2221-22212-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-11111-2-22211-1-111-1-11111-1-1-1-1-2-22211-1-111-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ392222-2-2-222-22-122-2-2-12-2-2-1-1221122222211-12-1-1-11-21-2-22-1-2-22-1-2-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-1111111-1-1-2-22211-1-11111-1-1-1-111-1-1-2-22211-1-11111-1-1-1-100000000000000000000000000003−33−3−33−33
χ402222-2-2-222-22-122-2-2-12-2-2-1-1221122222211-12-1-1-11-21-2-22-1-2-22-1-2-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-1111111-1-1-2-22211-1-11111-1-1-1-111-1-1-2-22211-1-11111-1-1-1-10000000000000000000000000000−33−333−33−3
χ412222-2-2-222-2-122-11122112222-2-222-1-122-2-2-1-12-1-1-2-2-2-21-12-21-12-2-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-1111111-1-111-1-1-2-2221111-1-1-1-111-1-111-1-1-2-2221111-1-1-1-1000000000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ422222-2-2-222-2-122-11122112222-2-222-1-122-2-2-1-12-1-1-2-2-2-21-12-21-12-2-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-1111111-1-111-1-1-2-2221111-1-1-1-111-1-111-1-1-2-2221111-1-1-1-1000000000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ4322-2-22-22-22-222-12222-1-2-2-2-2112211-2-2-1-1-2-22-1-1-1-12-1-21222-1-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100002-22-2000000000000-1-111-1-11100000000
χ4422-2-22-22-22-222-12222-1-2-2-2-2112211-2-2-1-1-2-22-1-1-1-12-1-21222-1-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-22-2200000000000011-1-111-1-100000000
χ4522-2-22-22-22-22-12222-12-2-211-2-2-1-1-2-2-2-22211-12-1-1-1-121-222-12-2-21-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000002i−2i2i−2i0000000000000000−i−iii−i−iii
χ4622-2-22-22-22-22-12222-12-2-211-2-2-1-1-2-2-2-22211-12-1-1-1-121-222-12-2-21-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000−2i2i−2i2i0000000000000000ii−i−iii−i−i
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Here i is the imaginary unit (i² = −1).