Finite Group Databasebeta

← Group #14411935

Character table — Group #14411935

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222244444444444444441212121212121212222244444444444444888888888888888824242424242424242222444444444444448888888888888888242424242424242455551010101010101010101010101010202020202020202020202020202020206060606060606060
order12442223444666121212124444661212121212121212121222444444510202010101015202020303030606060602020202030306060606060606060606010102020202020205102020101010152020203030306060606020202020303060606060606060606060101020202020202022442226444666121212124444661212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i
χ611111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii
χ711111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii
χ811111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii-11-11ii−i−i11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii-11-11ii−i−i11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii-11-11ii−i−i11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii-11-11ii−i−i
χ911-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-111-11-111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-111-11-111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-111-11-111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-111-11-1
χ1011-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-1-11-1111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-1-11-1111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-1-11-1111-1-11111-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-1-11-11
χ1111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-11-11-1111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-11-11-1111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-11-11-1111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-11-11-11
χ1211-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-111-11-11-111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-111-11-11-111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-111-11-11-111-1-11111-1-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-111-11-11-1
χ1311-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1i−i−ii11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1i−i−ii11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1i−i−ii11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1i−i−ii
χ1411-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii-1-111−iii−i11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii-1-111−iii−i11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii-1-111−iii−i11-1-11-1-11-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii-1-111−iii−i
χ1511-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1−iii−i11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1−iii−i11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1−iii−i11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1−iii−i
χ1611-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i-1-111i−i−ii11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i-1-111i−i−ii11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i-1-111i−i−ii11-1-11-1-11-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i-1-111i−i−ii
χ172222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ182222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ1922222-2-2-12-2-2-111-1-1112i2i−2i−2i-11-11−i−i−i−iiiii0000000022222-2-2-12-2-2-111-1-1112i2i−2i−2i-11-11−i−i−i−iiiii0000000022222-2-2-12-2-2-111-1-1112i2i−2i−2i-11-11−i−i−i−iiiii0000000022222-2-2-12-2-2-111-1-1112i2i−2i−2i-11-11−i−i−i−iiiii00000000
χ2022222-2-2-12-2-2-111-1-111−2i−2i2i2i-11-11iiii−i−i−i−i0000000022222-2-2-12-2-2-111-1-111−2i−2i2i2i-11-11iiii−i−i−i−i0000000022222-2-2-12-2-2-111-1-111−2i−2i2i2i-11-11iiii−i−i−i−i0000000022222-2-2-12-2-2-111-1-111−2i−2i2i2i-11-11iiii−i−i−i−i00000000
χ212222-22-22-22-222222220000-2-2-2-200000000000000002222-22-22-22-222222220000-2-2-2-200000000000000002222-22-22-22-222222220000-2-2-2-200000000000000002222-22-22-22-222222220000-2-2-2-20000000000000000
χ222222-22-2-1-22-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300000000
χ232222-22-2-1-22-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000002222-22-2-1-22-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300000000
χ242222-2-222-2-222-2-222-2-20000-22-2200000000000000002222-2-222-2-222-2-222-2-20000-22-2200000000000000002222-2-222-2-222-2-222-2-20000-22-2200000000000000002222-2-222-2-222-2-222-2-20000-22-220000000000000000
χ252222-2-22-1-2-22-111-1-11100001-11-13−33−3−33−33000000002222-2-22-1-2-22-111-1-11100001-11-13−33−3−33−33000000002222-2-22-1-2-22-111-1-11100001-11-13−33−3−33−33000000002222-2-22-1-2-22-111-1-11100001-11-13−33−3−33−3300000000
χ262222-2-22-1-2-22-111-1-11100001-11-1−33−333−33−3000000002222-2-22-1-2-22-111-1-11100001-11-1−33−333−33−3000000002222-2-22-1-2-22-111-1-11100001-11-1−33−333−33−3000000002222-2-22-1-2-22-111-1-11100001-11-1−33−333−33−300000000
χ2722-2-2222-1-2-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000022-2-2222-1-2-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000022-2-2222-1-2-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000022-2-2222-1-2-2-2-1-1-111112-22-2-1-111-1-111-1-11100000000
χ2822-2-2222-1-2-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000022-2-2222-1-2-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000022-2-2222-1-2-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000022-2-2222-1-2-2-2-1-1-11111-22-22-1-11111-1-111-1-100000000
χ2922-2-22-2-2-1-222-11111-1-12i−2i−2i2i-111-1−i−iiiii−i−i0000000022-2-22-2-2-1-222-11111-1-12i−2i−2i2i-111-1−i−iiiii−i−i0000000022-2-22-2-2-1-222-11111-1-12i−2i−2i2i-111-1−i−iiiii−i−i0000000022-2-22-2-2-1-222-11111-1-12i−2i−2i2i-111-1−i−iiiii−i−i00000000
χ3022-2-22-2-2-1-222-11111-1-1−2i2i2i−2i-111-1ii−i−i−i−iii0000000022-2-22-2-2-1-222-11111-1-1−2i2i2i−2i-111-1ii−i−i−i−iii0000000022-2-22-2-2-1-222-11111-1-1−2i2i2i−2i-111-1ii−i−i−i−iii0000000022-2-22-2-2-1-222-11111-1-1−2i2i2i−2i-111-1ii−i−i−i−iii00000000
χ3122-2-2-22-222-22222-2-2-2-20000-2-222000000000000000022-2-2-22-222-22222-2-2-2-20000-2-222000000000000000022-2-2-22-222-22222-2-2-2-20000-2-222000000000000000022-2-2-22-222-22222-2-2-2-20000-2-2220000000000000000
χ3222-2-2-22-2-12-22-1-1-11111000011-1-1−i3i3i3−i3−i3i3i3−i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1−i3i3i3−i3−i3i3i3−i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1−i3i3i3−i3−i3i3i3−i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1−i3i3i3−i3−i3i3i3−i300000000
χ3322-2-2-22-2-12-22-1-1-11111000011-1-1i3−i3−i3i3i3−i3−i3i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1i3−i3−i3i3i3−i3−i3i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1i3−i3−i3i3i3−i3−i3i30000000022-2-2-22-2-12-22-1-1-11111000011-1-1i3−i3−i3i3i3−i3−i3i300000000
χ3422-2-2-2-22222-22-2-2-2-2220000-222-2000000000000000022-2-2-2-22222-22-2-2-2-2220000-222-2000000000000000022-2-2-2-22222-22-2-2-2-2220000-222-2000000000000000022-2-2-2-22222-22-2-2-2-2220000-222-20000000000000000
χ3522-2-2-2-22-122-2-11111-1-100001-1-113−3−33−333−30000000022-2-2-2-22-122-2-11111-1-100001-1-113−3−33−333−30000000022-2-2-2-22-122-2-11111-1-100001-1-113−3−33−333−30000000022-2-2-2-22-122-2-11111-1-100001-1-113−3−33−333−300000000
χ3622-2-2-2-22-122-2-11111-1-100001-1-11−333−33−3−330000000022-2-2-2-22-122-2-11111-1-100001-1-11−333−33−3−330000000022-2-2-2-22-122-2-11111-1-100001-1-11−333−33−3−330000000022-2-2-2-22-122-2-11111-1-100001-1-11−333−33−3−3300000000
χ374-44i−4i0004000-4004i−4i000000000000000000000000004-44i−4i0004000-4004i−4i000000000000000000000000004-44i−4i0004000-4004i−4i000000000000000000000000004-44i−4i0004000-4004i−4i00000000000000000000000000
χ384-44i−4i000-20002−2i32i3−2i2i23−230000000000000000000000004-44i−4i000-20002−2i32i3−2i2i23−230000000000000000000000004-44i−4i000-20002−2i32i3−2i2i23−230000000000000000000000004-44i−4i000-20002−2i32i3−2i2i23−23000000000000000000000000
χ394-44i−4i000-200022i3−2i3−2i2i−23230000000000000000000000004-44i−4i000-200022i3−2i3−2i2i−23230000000000000000000000004-44i−4i000-200022i3−2i3−2i2i−23230000000000000000000000004-44i−4i000-200022i3−2i3−2i2i−2323000000000000000000000000
χ404-4−4i4i0004000-400−4i4i000000000000000000000000004-4−4i4i0004000-400−4i4i000000000000000000000000004-4−4i4i0004000-400−4i4i000000000000000000000000004-4−4i4i0004000-400−4i4i00000000000000000000000000
χ414-4−4i4i000-20002−2i32i32i−2i−23230000000000000000000000004-4−4i4i000-20002−2i32i32i−2i−23230000000000000000000000004-4−4i4i000-20002−2i32i32i−2i−23230000000000000000000000004-4−4i4i000-20002−2i32i32i−2i−2323000000000000000000000000
χ424-4−4i4i000-200022i3−2i32i−2i23−230000000000000000000000004-4−4i4i000-200022i3−2i32i−2i23−230000000000000000000000004-4−4i4i000-200022i3−2i32i−2i23−230000000000000000000000004-4−4i4i000-200022i3−2i32i−2i23−23000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ4711111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i1-11-1ii−i−i-1-1-1-1-111-1-111-111-1-111−i−iii-11-11−i−i−i−iiiii-11-11−i−iii
χ4811111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii11111-1-111-1-11-1-111-1-1ii−i−i1-11-1iiii−i−i−i−i-11-11−i−iii-1-1-1-1-111-1-111-111-1-111−i−iii-11-11−i−i−i−iiiii1-11-1ii−i−i
χ4911111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii11111-1-111-1-11-1-111-1-1−i−iii1-11-1−i−i−i−iiiii1-11-1−i−iii-1-1-1-1-111-1-111-111-1-111ii−i−i-11-11iiii−i−i−i−i-11-11ii−i−i
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χ1688-8−8i8i000-400044i3−4i34i−4i43−43000000000000000000000000−2−252+254ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590001+5000−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59000000000000000000000000−2+252−254ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470001−5000−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.