Finite Group Databasebeta

← Group #14484531

Character table — Group #14484531

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111222222222222222244444444444444466661212121212122222444444444444444488888888888888812121212242424242424222244444444444444448888888888888881212121224242424242455551010101010101010101010101010101020202020202020202020202020202030303030606060606060
order122234444444466612121212444121212121212121212121212444444444451010101520202020202020203030306060606020202060606060606060606060606020202020202020202020510101015202020202020202030303060606060202020606060606060606060606060202020202020202020202222644444444666121212124441212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1111
χ411111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1
χ51111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111111-1-11-1-11111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111111-1-11-1-11111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111111-1-11-1-11111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111111-1-11-1-1
χ61111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-111
χ71111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111-1-1
χ81111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-111
χ911111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-11111-11-1-11-111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-11111-11-1-11-111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-11111-11-1-11-111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-11111-11-1-11-1
χ1011111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1111111-1-111-1-1111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11-111-11
χ1111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-11111-1-11-11-11-111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-11111-1-11-11-11-111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-11111-1-11-11-11-111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-11111-1-11-11-11-1
χ1211111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-1-111-11-11-11
χ1311111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1111111-1-11-1-1111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1111111-1-11-1-1111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1111111-1-11-1-1111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1111111-1-11-1-11
χ1411111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-1
χ1511111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-1111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-1111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-1111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-11
χ1611111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ172222-122222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000002222-122222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000002222-122222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000002222-122222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222-1222222-2-2-1-1-11111-2-2-2-1-1-1-1-1-111111100000000002222-1222222-2-2-1-1-11111-2-2-2-1-1-1-1-1-111111100000000002222-1222222-2-2-1-1-11111-2-2-2-1-1-1-1-1-111111100000000002222-1222222-2-2-1-1-11111-2-2-2-1-1-1-1-1-11111110000000000
χ192222-122-2-2-2-222-1-1-1-1-1-1-12-2-2-1-11111-1-1111100000000002222-122-2-2-2-222-1-1-1-1-1-1-12-2-2-1-11111-1-1111100000000002222-122-2-2-2-222-1-1-1-1-1-1-12-2-2-1-11111-1-1111100000000002222-122-2-2-2-222-1-1-1-1-1-1-12-2-2-1-11111-1-111110000000000
χ202222-122-2-2-2-2-2-2-1-1-11111-222-1-1111111-1-1-1-100000000002222-122-2-2-2-2-2-2-1-1-11111-222-1-1111111-1-1-1-100000000002222-122-2-2-2-2-2-2-1-1-11111-222-1-1111111-1-1-1-100000000002222-122-2-2-2-2-2-2-1-1-11111-222-1-1111111-1-1-1-10000000000
χ212222-1-2-222-2-222-1-1-1-1-1-1-1-22-211-1-11111-1-11100000000002222-1-2-222-2-222-1-1-1-1-1-1-1-22-211-1-11111-1-11100000000002222-1-2-222-2-222-1-1-1-1-1-1-1-22-211-1-11111-1-11100000000002222-1-2-222-2-222-1-1-1-1-1-1-1-22-211-1-11111-1-1110000000000
χ222222-1-2-222-2-2-2-2-1-1-111112-2211-1-111-1-111-1-100000000002222-1-2-222-2-2-2-2-1-1-111112-2211-1-111-1-111-1-100000000002222-1-2-222-2-2-2-2-1-1-111112-2211-1-111-1-111-1-100000000002222-1-2-222-2-2-2-2-1-1-111112-2211-1-111-1-111-1-10000000000
χ232222-1-2-2-2-22222-1-1-1-1-1-1-1-2-221111-1-11111-1-100000000002222-1-2-2-2-22222-1-1-1-1-1-1-1-2-221111-1-11111-1-100000000002222-1-2-2-2-22222-1-1-1-1-1-1-1-2-221111-1-11111-1-100000000002222-1-2-2-2-22222-1-1-1-1-1-1-1-2-221111-1-11111-1-10000000000
χ242222-1-2-2-2-222-2-2-1-1-1111122-21111-1-1-1-1-1-11100000000002222-1-2-2-2-222-2-2-1-1-1111122-21111-1-1-1-1-1-11100000000002222-1-2-2-2-222-2-2-1-1-1111122-21111-1-1-1-1-1-11100000000002222-1-2-2-2-222-2-2-1-1-1111122-21111-1-1-1-1-1-1110000000000
χ2522-2-222-22-22-200-22-200000002-22-22-2000000000000000022-2-222-22-22-200-22-200000002-22-22-2000000000000000022-2-222-22-22-200-22-200000002-22-22-2000000000000000022-2-222-22-22-200-22-200000002-22-22-20000000000000000
χ2622-2-222-2-22-2200-22-200000002-2-22-22000000000000000022-2-222-2-22-2200-22-200000002-2-22-22000000000000000022-2-222-2-22-2200-22-200000002-2-22-22000000000000000022-2-222-2-22-2200-22-200000002-2-22-220000000000000000
χ2722-2-22-222-2-2200-22-20000000-222-2-22000000000000000022-2-22-222-2-2200-22-20000000-222-2-22000000000000000022-2-22-222-2-2200-22-20000000-222-2-22000000000000000022-2-22-222-2-2200-22-20000000-222-2-220000000000000000
χ2822-2-22-22-222-200-22-20000000-22-222-2000000000000000022-2-22-22-222-200-22-20000000-22-222-2000000000000000022-2-22-22-222-200-22-20000000-22-222-2000000000000000022-2-22-22-222-200-22-20000000-22-222-20000000000000000
χ2922-2-2-12-22-22-2001-1133−3−3000-11-11-113−33−33−3000000000022-2-2-12-22-22-2001-1133−3−3000-11-11-113−33−33−3000000000022-2-2-12-22-22-2001-1133−3−3000-11-11-113−33−33−3000000000022-2-2-12-22-22-2001-1133−3−3000-11-11-113−33−33−30000000000
χ3022-2-2-12-22-22-2001-11−3−333000-11-11-11−33−33−33000000000022-2-2-12-22-22-2001-11−3−333000-11-11-11−33−33−33000000000022-2-2-12-22-22-2001-11−3−333000-11-11-11−33−33−33000000000022-2-2-12-22-22-2001-11−3−333000-11-11-11−33−33−330000000000
χ3122-2-2-12-2-22-22001-1133−3−3000-111-11-13−3−33−33000000000022-2-2-12-2-22-22001-1133−3−3000-111-11-13−3−33−33000000000022-2-2-12-2-22-22001-1133−3−3000-111-11-13−3−33−33000000000022-2-2-12-2-22-22001-1133−3−3000-111-11-13−3−33−330000000000
χ3222-2-2-12-2-22-22001-11−3−333000-111-11-1−333−33−3000000000022-2-2-12-2-22-22001-11−3−333000-111-11-1−333−33−3000000000022-2-2-12-2-22-22001-11−3−333000-111-11-1−333−33−3000000000022-2-2-12-2-22-22001-11−3−333000-111-11-1−333−33−30000000000
χ3322-2-2-1-222-2-22001-1133−3−30001-1-111-1−333−3−33000000000022-2-2-1-222-2-22001-1133−3−30001-1-111-1−333−3−33000000000022-2-2-1-222-2-22001-1133−3−30001-1-111-1−333−3−33000000000022-2-2-1-222-2-22001-1133−3−30001-1-111-1−333−3−330000000000
χ3422-2-2-1-222-2-22001-11−3−3330001-1-111-13−3−333−3000000000022-2-2-1-222-2-22001-11−3−3330001-1-111-13−3−333−3000000000022-2-2-1-222-2-22001-11−3−3330001-1-111-13−3−333−3000000000022-2-2-1-222-2-22001-11−3−3330001-1-111-13−3−333−30000000000
χ3522-2-2-1-22-222-2001-1133−3−30001-11-1-11−33−333−3000000000022-2-2-1-22-222-2001-1133−3−30001-11-1-11−33−333−3000000000022-2-2-1-22-222-2001-1133−3−30001-11-1-11−33−333−3000000000022-2-2-1-22-222-2001-1133−3−30001-11-1-11−33−333−30000000000
χ3622-2-2-1-22-222-2001-11−3−3330001-11-1-113−33−3−33000000000022-2-2-1-22-222-2001-11−3−3330001-11-1-113−33−3−33000000000022-2-2-1-22-222-2001-11−3−3330001-11-1-113−33−3−33000000000022-2-2-1-22-222-2001-11−3−3330001-11-1-113−33−3−330000000000
χ372-2-2220000002i−2i-2-222i−2i2i−2i0000000000000002i−2i2-20000002-2-2220000002i−2i-2-222i−2i2i−2i0000000000000002i−2i2-20000002-2-2220000002i−2i-2-222i−2i2i−2i0000000000000002i−2i2-20000002-2-2220000002i−2i-2-222i−2i2i−2i0000000000000002i−2i2-2000000
χ382-2-2220000002i−2i-2-222i−2i2i−2i000000000000000−2i2i-220000002-2-2220000002i−2i-2-222i−2i2i−2i000000000000000−2i2i-220000002-2-2220000002i−2i-2-222i−2i2i−2i000000000000000−2i2i-220000002-2-2220000002i−2i-2-222i−2i2i−2i000000000000000−2i2i-22000000
χ392-2-222000000−2i2i-2-22−2i2i−2i2i0000000000000002i−2i-220000002-2-222000000−2i2i-2-22−2i2i−2i2i0000000000000002i−2i-220000002-2-222000000−2i2i-2-22−2i2i−2i2i0000000000000002i−2i-220000002-2-222000000−2i2i-2-22−2i2i−2i2i0000000000000002i−2i-22000000
χ402-2-222000000−2i2i-2-22−2i2i−2i2i000000000000000−2i2i2-20000002-2-222000000−2i2i-2-22−2i2i−2i2i000000000000000−2i2i2-20000002-2-222000000−2i2i-2-22−2i2i−2i2i000000000000000−2i2i2-20000002-2-222000000−2i2i-2-22−2i2i−2i2i000000000000000−2i2i2-2000000
χ414-44-44000000004-4-4000000000000000000000000000004-44-44000000004-4-4000000000000000000000000000004-44-44000000004-4-4000000000000000000000000000004-44-44000000004-4-400000000000000000000000000000
χ424-44-4-200000000-222−2i32i32i3−2i300000000000000000000000004-44-4-200000000-222−2i32i32i3−2i300000000000000000000000004-44-4-200000000-222−2i32i32i3−2i300000000000000000000000004-44-4-200000000-222−2i32i32i3−2i30000000000000000000000000
χ434-44-4-200000000-2222i3−2i3−2i32i300000000000000000000000004-44-4-200000000-2222i3−2i3−2i32i300000000000000000000000004-44-4-200000000-2222i3−2i3−2i32i300000000000000000000000004-44-4-200000000-2222i3−2i3−2i32i30000000000000000000000000
χ444-4-44-20000004i−4i22-2−2i2i−2i2i00000000000000000000000004-4-44-20000004i−4i22-2−2i2i−2i2i00000000000000000000000004-4-44-20000004i−4i22-2−2i2i−2i2i00000000000000000000000004-4-44-20000004i−4i22-2−2i2i−2i2i0000000000000000000000000
χ454-4-44-2000000−4i4i22-22i−2i2i−2i00000000000000000000000004-4-44-2000000−4i4i22-22i−2i2i−2i00000000000000000000000004-4-44-2000000−4i4i22-22i−2i2i−2i00000000000000000000000004-4-44-2000000−4i4i22-22i−2i2i−2i0000000000000000000000000
χ46111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ4811111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-1-1-1111111-1-111111-1-1-1
χ4911111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1111
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.