Finite Group Databasebeta

← Group #14481340

Character table — Group #14481340

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222244444444444444441212121212121212222244444444444444888888888888888824242424242424242222444444444444448888888888888888242424242424242455551010101010101010101010101010202020202020202020202020202020206060606060606060
order1222344444466612121212224466661212121212121212244444445101010152020202020203030306060606010102020303030306060606060606060102020202020202051010101520202020202030303060606060101020203030303060606060606060601020202020202020222264444446661212121222446666121212121212121224444444
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
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111
χ51111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-11111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-11111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-11111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-1
χ61111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-111111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-111111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-111111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-11
χ71111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-11
χ81111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-11111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-11111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-11111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-1
χ911111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-1-11111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-1-11111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-1-11111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-1-111
χ1011111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1111-1-111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1111-1-111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1111-1-111111-1-111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1111-1-1
χ1111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-1
χ1211111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1111
χ1311111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11111-1-11-11-111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11111-1-11-11-111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11111-1-11-11-111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-11111-1-11-11-1
χ1411111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-11
χ1511111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-111-11-1-1-1111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-111-11-1-1-1111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-111-11-1-1-1111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-111-11-1-1-11
χ1611111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-1-11-1111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-1-11-1111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-1-11-1111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-1-11-1111-1
χ172222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ182222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000
χ192222-122-2-2-2-2-1-1-111112-22-2-1-111-1-111-1-111000000002222-122-2-2-2-2-1-1-111112-22-2-1-111-1-111-1-111000000002222-122-2-2-2-2-1-1-111112-22-2-1-111-1-111-1-111000000002222-122-2-2-2-2-1-1-111112-22-2-1-111-1-111-1-11100000000
χ202222-122-2-2-2-2-1-1-11111-22-2211-1-1-1-11111-1-1000000002222-122-2-2-2-2-1-1-11111-22-2211-1-1-1-11111-1-1000000002222-122-2-2-2-2-1-1-11111-22-2211-1-1-1-11111-1-1000000002222-122-2-2-2-2-1-1-11111-22-2211-1-1-1-11111-1-100000000
χ212222-1-2-222-2-2-1-1-1111122-2-2-1-1-1-111-1-11111000000002222-1-2-222-2-2-1-1-1111122-2-2-1-1-1-111-1-11111000000002222-1-2-222-2-2-1-1-1111122-2-2-1-1-1-111-1-11111000000002222-1-2-222-2-2-1-1-1111122-2-2-1-1-1-111-1-1111100000000
χ222222-1-2-222-2-2-1-1-11111-2-222111111-1-1-1-1-1-1000000002222-1-2-222-2-2-1-1-11111-2-222111111-1-1-1-1-1-1000000002222-1-2-222-2-2-1-1-11111-2-222111111-1-1-1-1-1-1000000002222-1-2-222-2-2-1-1-11111-2-222111111-1-1-1-1-1-100000000
χ232222-1-2-2-2-222-1-1-1-1-1-1-12-2-22-1-111111111-1-1000000002222-1-2-2-2-222-1-1-1-1-1-1-12-2-22-1-111111111-1-1000000002222-1-2-2-2-222-1-1-1-1-1-1-12-2-22-1-111111111-1-1000000002222-1-2-2-2-222-1-1-1-1-1-1-12-2-22-1-111111111-1-100000000
χ242222-1-2-2-2-222-1-1-1-1-1-1-1-222-211-1-11111-1-111000000002222-1-2-2-2-222-1-1-1-1-1-1-1-222-211-1-11111-1-111000000002222-1-2-2-2-222-1-1-1-1-1-1-1-222-211-1-11111-1-111000000002222-1-2-2-2-222-1-1-1-1-1-1-1-222-211-1-11111-1-11100000000
χ252-22-222i−2i2-22i−2i2-2-22i2i−2i−2i000000002i−2i2-20000000000002-22-222i−2i2-22i−2i2-2-22i2i−2i−2i000000002i−2i2-20000000000002-22-222i−2i2-22i−2i2-2-22i2i−2i−2i000000002i−2i2-20000000000002-22-222i−2i2-22i−2i2-2-22i2i−2i−2i000000002i−2i2-2000000000000
χ262-22-222i−2i-22−2i2i2-2-2−2i−2i2i2i000000002i−2i-220000000000002-22-222i−2i-22−2i2i2-2-2−2i−2i2i2i000000002i−2i-220000000000002-22-222i−2i-22−2i2i2-2-2−2i−2i2i2i000000002i−2i-220000000000002-22-222i−2i-22−2i2i2-2-2−2i−2i2i2i000000002i−2i-22000000000000
χ272-22-22−2i2i2-2−2i2i2-2-2−2i−2i2i2i00000000−2i2i2-20000000000002-22-22−2i2i2-2−2i2i2-2-2−2i−2i2i2i00000000−2i2i2-20000000000002-22-22−2i2i2-2−2i2i2-2-2−2i−2i2i2i00000000−2i2i2-20000000000002-22-22−2i2i2-2−2i2i2-2-2−2i−2i2i2i00000000−2i2i2-2000000000000
χ282-22-22−2i2i-222i−2i2-2-22i2i−2i−2i00000000−2i2i-220000000000002-22-22−2i2i-222i−2i2-2-22i2i−2i−2i00000000−2i2i-220000000000002-22-22−2i2i-222i−2i2-2-22i2i−2i−2i00000000−2i2i-220000000000002-22-22−2i2i-222i−2i2-2-22i2i−2i−2i00000000−2i2i-22000000000000
χ292-22-2-12i−2i2-22i−2i-111−i−iii0000−i3i3−i3i3−ii-113−33−3000000002-22-2-12i−2i2-22i−2i-111−i−iii0000−i3i3−i3i3−ii-113−33−3000000002-22-2-12i−2i2-22i−2i-111−i−iii0000−i3i3−i3i3−ii-113−33−3000000002-22-2-12i−2i2-22i−2i-111−i−iii0000−i3i3−i3i3−ii-113−33−300000000
χ302-22-2-12i−2i2-22i−2i-111−i−iii0000i3−i3i3−i3−ii-11−33−33000000002-22-2-12i−2i2-22i−2i-111−i−iii0000i3−i3i3−i3−ii-11−33−33000000002-22-2-12i−2i2-22i−2i-111−i−iii0000i3−i3i3−i3−ii-11−33−33000000002-22-2-12i−2i2-22i−2i-111−i−iii0000i3−i3i3−i3−ii-11−33−3300000000
χ312-22-2-12i−2i-22−2i2i-111ii−i−i0000−i3i3i3−i3−ii1-13−3−33000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000−i3i3i3−i3−ii1-13−3−33000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000−i3i3i3−i3−ii1-13−3−33000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000−i3i3i3−i3−ii1-13−3−3300000000
χ322-22-2-12i−2i-22−2i2i-111ii−i−i0000i3−i3−i3i3−ii1-1−333−3000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000i3−i3−i3i3−ii1-1−333−3000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000i3−i3−i3i3−ii1-1−333−3000000002-22-2-12i−2i-22−2i2i-111ii−i−i0000i3−i3−i3i3−ii1-1−333−300000000
χ332-22-2-1−2i2i2-2−2i2i-111ii−i−i0000−i3i3−i3i3i−i-11−33−33000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000−i3i3−i3i3i−i-11−33−33000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000−i3i3−i3i3i−i-11−33−33000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000−i3i3−i3i3i−i-11−33−3300000000
χ342-22-2-1−2i2i2-2−2i2i-111ii−i−i0000i3−i3i3−i3i−i-113−33−3000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000i3−i3i3−i3i−i-113−33−3000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000i3−i3i3−i3i−i-113−33−3000000002-22-2-1−2i2i2-2−2i2i-111ii−i−i0000i3−i3i3−i3i−i-113−33−300000000
χ352-22-2-1−2i2i-222i−2i-111−i−iii0000−i3i3i3−i3i−i1-1−333−3000000002-22-2-1−2i2i-222i−2i-111−i−iii0000−i3i3i3−i3i−i1-1−333−3000000002-22-2-1−2i2i-222i−2i-111−i−iii0000−i3i3i3−i3i−i1-1−333−3000000002-22-2-1−2i2i-222i−2i-111−i−iii0000−i3i3i3−i3i−i1-1−333−300000000
χ362-22-2-1−2i2i-222i−2i-111−i−iii0000i3−i3−i3i3i−i1-13−3−33000000002-22-2-1−2i2i-222i−2i-111−i−iii0000i3−i3−i3i3i−i1-13−3−33000000002-22-2-1−2i2i-222i−2i-111−i−iii0000i3−i3−i3i3i−i1-13−3−33000000002-22-2-1−2i2i-222i−2i-111−i−iii0000i3−i3−i3i3i−i1-13−3−3300000000
χ3744-4-44000000-44-4000000000000000000000000000044-4-44000000-44-4000000000000000000000000000044-4-44000000-44-4000000000000000000000000000044-4-44000000-44-40000000000000000000000000000
χ3844-4-4-20000002-2223−2323−2300000000000000000000000044-4-4-20000002-2223−2323−2300000000000000000000000044-4-4-20000002-2223−2323−2300000000000000000000000044-4-4-20000002-2223−2323−23000000000000000000000000
χ3944-4-4-20000002-22−2323−232300000000000000000000000044-4-4-20000002-22−2323−232300000000000000000000000044-4-4-20000002-22−2323−232300000000000000000000000044-4-4-20000002-22−2323−2323000000000000000000000000
χ404-4-444000000-4-4400000000000000000000000000004-4-444000000-4-4400000000000000000000000000004-4-444000000-4-4400000000000000000000000000004-4-444000000-4-440000000000000000000000000000
χ414-4-44-200000022-2−2i32i32i3−2i30000000000000000000000004-4-44-200000022-2−2i32i32i3−2i30000000000000000000000004-4-44-200000022-2−2i32i32i3−2i30000000000000000000000004-4-44-200000022-2−2i32i32i3−2i3000000000000000000000000
χ424-4-44-200000022-22i3−2i3−2i32i30000000000000000000000004-4-44-200000022-22i3−2i3−2i32i30000000000000000000000004-4-44-200000022-22i3−2i3−2i32i30000000000000000000000004-4-44-200000022-22i3−2i3−2i32i3000000000000000000000000
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
χ45111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-111
χ46111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-11-1-1
χ471111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-11111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-11111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11-1-11-111-1-1-1-1-1-1-1-11111-1-1-11111-11-11-1-111-1-111-1-111-111-11-1-11
χ481111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-111111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-111111111-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-111-11-1-11-1-1-1-1-1-1-11111-1-1-11111-11-11-1-111-1-111-1-1111-1-11-111-1
χ491111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-111111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111-1-1-111-11-1-1-1-1-1-1-11111-1-1-111111-11-111-1-1-1-11111-1-1-1111-1-11-1
χ501111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-11111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-11111111-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-111-1111-1-11-1-1-1-1-1-1-1-11111-1-1-111111-11-111-1-1-1-11111-1-11-1-1-111-11
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χ87222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222-2-22-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−521+521+52000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.