Finite Group Databasebeta

← Group #14480584

Character table — Group #14480584

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222244444444444444441212121212121212222244444444444444888888888888888824242424242424242222444444444444448888888888888888242424242424242455551010101010101010101010101010202020202020202020202020202020206060606060606060
order1222223444466666664444121212121212121212121212222244445101010101015202020203030303030303020202020606060606060606060606060101010102020202051010101010152020202030303030303030202020206060606060606060606060601010101020202020222222644446666666444412121212121212121212121222224444
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
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-1
χ61111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11
χ71111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-11
χ81111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-1
χ91111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-11
χ101111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-1
χ111111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-11111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-11111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-11111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-1
χ121111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-111-1-11-111-111111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-111-1-11-111-111111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-111-1-11-111-111111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-111-1-11-111-11
χ131111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-1111-111-11-1-11111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-1111-111-11-1-11111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-1111-111-11-1-11111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-1111-111-11-1-1
χ141111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-111-11-1-11-1111111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-111-11-1-11-1111111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-111-11-1-11-1111111-1-11-1-1111-1-1-1-1111-1-11-1-11111-1-1-1-111-11-1-11-111
χ151111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-11-1-1-1-11111111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-11-1-1-1-11111111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-11-1-1-1-11111111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-11-1-1-1-1111
χ161111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-11111-1-1-11111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-11111-1-1-11111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-11111-1-1-11111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-11111-1-1-1
χ17222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ19222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000
χ20222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ212222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-11100000000
χ222222-2-2-122-2-2-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-2-122-2-2-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-2-122-2-2-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-2-122-2-2-11111-1-1-22-22-1-11111-1-111-1-100000000
χ232222-2-2-1-2-222-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-1-2-222-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-1-2-222-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-1-2-222-11111-1-12-2-2211-1-1-1-11111-1-100000000
χ242222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-11100000000
χ252-2-222-222-22-2-222-2-22-200002-22-200000000000000002-2-222-222-22-2-222-2-22-200002-22-200000000000000002-2-222-222-22-2-222-2-22-200002-22-200000000000000002-2-222-222-22-2-222-2-22-200002-22-20000000000000000
χ262-2-222-22-22-22-222-2-22-20000-22-2200000000000000002-2-222-22-22-22-222-2-22-20000-22-2200000000000000002-2-222-22-22-22-222-2-22-20000-22-2200000000000000002-2-222-22-22-22-222-2-22-20000-22-220000000000000000
χ272-2-222-2-12-22-21-1-111-110000-11-113−33−33−33−3000000002-2-222-2-12-22-21-1-111-110000-11-113−33−33−33−3000000002-2-222-2-12-22-21-1-111-110000-11-113−33−33−33−3000000002-2-222-2-12-22-21-1-111-110000-11-113−33−33−33−300000000
χ282-2-222-2-12-22-21-1-111-110000-11-11−33−33−33−33000000002-2-222-2-12-22-21-1-111-110000-11-11−33−33−33−33000000002-2-222-2-12-22-21-1-111-110000-11-11−33−33−33−33000000002-2-222-2-12-22-21-1-111-110000-11-11−33−33−33−3300000000
χ292-2-222-2-1-22-221-1-111-1100001-11-13−33−3−33−33000000002-2-222-2-1-22-221-1-111-1100001-11-13−33−3−33−33000000002-2-222-2-1-22-221-1-111-1100001-11-13−33−3−33−33000000002-2-222-2-1-22-221-1-111-1100001-11-13−33−3−33−3300000000
χ302-2-222-2-1-22-221-1-111-1100001-11-1−33−333−33−3000000002-2-222-2-1-22-221-1-111-1100001-11-1−33−333−33−3000000002-2-222-2-1-22-221-1-111-1100001-11-1−33−333−33−3000000002-2-222-2-1-22-221-1-111-1100001-11-1−33−333−33−300000000
χ312-2-22-2222-2-22-2-2-2222-200002-2-2200000000000000002-2-22-2222-2-22-2-2-2222-200002-2-2200000000000000002-2-22-2222-2-22-2-2-2222-200002-2-2200000000000000002-2-22-2222-2-22-2-2-2222-200002-2-220000000000000000
χ322-2-22-222-222-2-2-2-2222-20000-222-200000000000000002-2-22-222-222-2-2-2-2222-20000-222-200000000000000002-2-22-222-222-2-2-2-2222-20000-222-200000000000000002-2-22-222-222-2-2-2-2222-20000-222-20000000000000000
χ332-2-22-22-12-2-22111-1-1-110000-111-13−3−333−3−33000000002-2-22-22-12-2-22111-1-1-110000-111-13−3−333−3−33000000002-2-22-22-12-2-22111-1-1-110000-111-13−3−333−3−33000000002-2-22-22-12-2-22111-1-1-110000-111-13−3−333−3−3300000000
χ342-2-22-22-12-2-22111-1-1-110000-111-1−333−3−333−3000000002-2-22-22-12-2-22111-1-1-110000-111-1−333−3−333−3000000002-2-22-22-12-2-22111-1-1-110000-111-1−333−3−333−3000000002-2-22-22-12-2-22111-1-1-110000-111-1−333−3−333−300000000
χ352-2-22-22-1-222-2111-1-1-1100001-1-113−3−33−333−3000000002-2-22-22-1-222-2111-1-1-1100001-1-113−3−33−333−3000000002-2-22-22-1-222-2111-1-1-1100001-1-113−3−33−333−3000000002-2-22-22-1-222-2111-1-1-1100001-1-113−3−33−333−300000000
χ362-2-22-22-1-222-2111-1-1-1100001-1-11−333−33−3−33000000002-2-22-22-1-222-2111-1-1-1100001-1-11−333−33−3−33000000002-2-22-22-1-222-2111-1-1-1100001-1-11−333−33−3−33000000002-2-22-22-1-222-2111-1-1-1100001-1-11−333−33−3−3300000000
χ3744-4-4004000040000-4-400000000000000000000000044-4-4004000040000-4-400000000000000000000000044-4-4004000040000-4-400000000000000000000000044-4-4004000040000-4-4000000000000000000000000
χ3844-4-400-20000-2−2i32i3−2i32i32200000000000000000000000044-4-400-20000-2−2i32i3−2i32i32200000000000000000000000044-4-400-20000-2−2i32i3−2i32i32200000000000000000000000044-4-400-20000-2−2i32i3−2i32i322000000000000000000000000
χ3944-4-400-20000-22i3−2i32i3−2i32200000000000000000000000044-4-400-20000-22i3−2i32i3−2i32200000000000000000000000044-4-400-20000-22i3−2i32i3−2i32200000000000000000000000044-4-400-20000-22i3−2i32i3−2i322000000000000000000000000
χ404-44-40040000-40000-440000000000000000000000004-44-40040000-40000-440000000000000000000000004-44-40040000-40000-440000000000000000000000004-44-40040000-40000-44000000000000000000000000
χ414-44-400-200002−2i32i32i3−2i32-20000000000000000000000004-44-400-200002−2i32i32i3−2i32-20000000000000000000000004-44-400-200002−2i32i32i3−2i32-20000000000000000000000004-44-400-200002−2i32i32i3−2i32-2000000000000000000000000
χ424-44-400-2000022i3−2i3−2i32i32-20000000000000000000000004-44-400-2000022i3−2i3−2i32i32-20000000000000000000000004-44-400-2000022i3−2i3−2i32i32-20000000000000000000000004-44-400-2000022i3−2i3−2i32i32-2000000000000000000000000
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
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ471111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-11-11
χ481111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-11-11-1
χ491111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-111-1
χ501111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-111-1-11
χ511111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-11-1-1-1-111-1-1-111-11111-1-1-11-11-1-111-1-111-1-111-1-1-11111-1
χ521111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-111-11111-1-1-11-11-1-111-1-111-1-111111-1-1-1-11
χ531111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-11111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-11111-1-1111-1-11-1-1-1-111-11-1111-1-1-1-111-1-11111-11-1-11-1-1-1-1-111-1-1-111-11111-1-11-11-1-1-11111-1-111-1-1-1-11-111-11
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χ1688-88-800-4000044i3−4i3−4i34i34-4000000000000000000000000−2−252+25−2−252+25001+50000−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1−51+5000000000000000000000000−2+252−25−2+252−25001−50000−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1+51−5000000000000000000000000000000000000000000000000000000000000000000

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