Finite Group Databasebeta

← Group #14480962

Character table — Group #14480962

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444444466668888121212121212222244444488888888888812121212161616162424242424242222444444888888888888121212121616161624242424242455551010101010102020202020202020202020203030303040404040606060606060
order1222223666224444661212121244446612124444445101010101015303030101020202020303060606060202020203030606020202020202051010101010153030301010202020203030606060602020202030306060202020202020222222666622444466121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-111111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-111111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-111111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-1
χ411111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-11
χ51111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-111111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-111111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-111111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-11
χ61111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-1
χ71111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ91111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-111111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-111111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-111111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-11
χ101111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-11111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-11111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-11111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-1
χ111111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-11111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-11111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-11111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-1
χ121111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-1111111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-1111111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-1111111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-111
χ131111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-11111111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-11111111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-11111111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-1111
χ141111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-11111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-11111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-11111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-1
χ151111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-11111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-11111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-11111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-1
χ161111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-111111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-111111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-111111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-11
χ17222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000
χ18222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000
χ19222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000
χ20222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000
χ212222-2-2-1-1-1-122-2-22-211-1-1110000-1-1110000002222-2-2-1-1-1-122-2-22-211-1-1110000-1-1110000002222-2-2-1-1-1-122-2-22-211-1-1110000-1-1110000002222-2-2-1-1-1-122-2-22-211-1-1110000-1-111000000
χ222222-2-2-1-1-1-12-2-22-221111-1-10000-111-10000002222-2-2-1-1-1-12-2-22-221111-1-10000-111-10000002222-2-2-1-1-1-12-2-22-221111-1-10000-111-10000002222-2-2-1-1-1-12-2-22-221111-1-10000-111-1000000
χ232222-2-2-1-1-1-1-222-2-221111-1-100001-1-110000002222-2-2-1-1-1-1-222-2-221111-1-100001-1-110000002222-2-2-1-1-1-1-222-2-221111-1-100001-1-110000002222-2-2-1-1-1-1-222-2-221111-1-100001-1-11000000
χ242222-2-2-1-1-1-1-2-2222-211-1-111000011-1-10000002222-2-2-1-1-1-1-2-2222-211-1-111000011-1-10000002222-2-2-1-1-1-1-2-2222-211-1-111000011-1-10000002222-2-2-1-1-1-1-2-2222-211-1-111000011-1-1000000
χ252-22-22-22-22-20000002-200002i−2i2i−2i00000000002-22-22-22-22-20000002-200002i−2i2i−2i00000000002-22-22-22-22-20000002-200002i−2i2i−2i00000000002-22-22-22-22-20000002-200002i−2i2i−2i0000000000
χ262-22-22-22-22-20000002-20000−2i2i−2i2i00000000002-22-22-22-22-20000002-20000−2i2i−2i2i00000000002-22-22-22-22-20000002-20000−2i2i−2i2i00000000002-22-22-22-22-20000002-20000−2i2i−2i2i0000000000
χ272-22-2-222-22-2000000-2200002i−2i−2i2i00000000002-22-2-222-22-2000000-2200002i−2i−2i2i00000000002-22-2-222-22-2000000-2200002i−2i−2i2i00000000002-22-2-222-22-2000000-2200002i−2i−2i2i0000000000
χ282-22-2-222-22-2000000-220000−2i2i2i−2i00000000002-22-2-222-22-2000000-220000−2i2i2i−2i00000000002-22-2-222-22-2000000-220000−2i2i2i−2i00000000002-22-2-222-22-2000000-220000−2i2i2i−2i0000000000
χ2944-4-40044-4-40000000000000000000000000044-4-40044-4-40000000000000000000000000044-4-40044-4-40000000000000000000000000044-4-40044-4-400000000000000000000000000
χ3044-4-400-2-222000000000023−230000000000000044-4-400-2-222000000000023−230000000000000044-4-400-2-222000000000023−230000000000000044-4-400-2-222000000000023−2300000000000000
χ3144-4-400-2-2220000000000−23230000000000000044-4-400-2-2220000000000−23230000000000000044-4-400-2-2220000000000−23230000000000000044-4-400-2-2220000000000−232300000000000000
χ324-44-44-4-22-22000000-220000000000000000004-44-44-4-22-22000000-220000000000000000004-44-44-4-22-22000000-220000000000000000004-44-44-4-22-22000000-22000000000000000000
χ334-44-4-44-22-220000002-20000000000000000004-44-4-44-22-220000002-20000000000000000004-44-4-44-22-220000002-20000000000000000004-44-4-44-22-220000002-2000000000000000000
χ344-4-44004-4-44000000000000000000000000004-4-44004-4-44000000000000000000000000004-4-44004-4-44000000000000000000000000004-4-44004-4-4400000000000000000000000000
χ354-4-4400-222-200000000−2i32i300000000000000004-4-4400-222-200000000−2i32i300000000000000004-4-4400-222-200000000−2i32i300000000000000004-4-4400-222-200000000−2i32i30000000000000000
χ364-4-4400-222-2000000002i3−2i300000000000000004-4-4400-222-2000000002i3−2i300000000000000004-4-4400-222-2000000002i3−2i300000000000000004-4-4400-222-2000000002i3−2i30000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ3911111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-111111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-111111111111-11-1-1-111-1-1-1-111111-11-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-11-11-1111-11
χ4011111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1111-11-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111111-11-111-1-1-11-1
χ411111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-111111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-111111111111-11-11-1-111-1-1-1-11111-11-11-11-1-1-11-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-11-11-1111-1
χ421111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111111-11-1-11-1-1-11
χ431111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ441111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ451111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-111111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-111111-1-1111111-1-11-1-1-111-1-111-1-111-1-11-11-1-11-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-111-1-111-11-111-1
χ461111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-11111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-11111-1-1111111-1-11-1-1-111-1-1-1-11111-1-1-11-111-1-1-1-1-111-1-1-1-1-1-111-1111-1-11111-1-1-1-1111-11-1-11
χ471111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-11111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-11111-1-111111-1-11-11-1-1-1-11111-1-11-1-1111-11-1-1-1-1-1-111-1-1-1-1-111-11-11111-1-1-1-111-111-1-1-11-111
χ481111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-1111111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-1111111-1-111111-1-11-11-1-1-1-111-1-1111-1-11-1-11-111-1-1-1-111-1-1-1-1-111-11-11111-1-111-1-1-111-111-11-1-1
χ491111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-11111111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-11111111-1-11111-111-1-11-1-1-1-11111-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11-1-111-11111-1-1-1-1111-1-11111-1-1-1
χ501111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-11111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-11111-1-11111-111-1-11-1-1-1-111-1-111-111-1111-1-1-1-1-1-1-111-1-1-1-11-1-111-11111-1-111-1-11-1-11-1-1-1111
χ511111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-11111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-11111-1-11111-1-1111-1-1-111-1-111-1-1-1-111-111-11-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11111-1-11-1-11-11
χ521111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-111111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-111111-1-11111-1-1111-1-1-111-1-1-1-111-1-1111-1-11-11-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-111-1-1-111-11-1
χ53222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000222222-1-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000-2-2-2-2-2-21111-2-2-2-2-2-211111100001111000000
χ54222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000222222-1-1-1-12-22-2-2-2-1-111110000-11-11000000-2-2-2-2-2-21111-22-222211-1-1-1-100001-11-1000000
χ55222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000222222-1-1-1-1-22-22-2-2-1-1111100001-11-1000000-2-2-2-2-2-211112-22-22211-1-1-1-10000-11-11000000
χ56222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000222222-1-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000-2-2-2-2-2-211112222-2-21111110000-1-1-1-1000000
χ572222-2-2-1-1-1-122-2-22-211-1-1110000-1-1110000002222-2-2-1-1-1-122-2-22-211-1-1110000-1-1110000002222-2-2-1-1-1-122-2-22-211-1-1110000-1-111000000-2-2-2-2221111-2-222-22-1-111-1-1000011-1-1000000
χ582222-2-2-1-1-1-12-2-22-221111-1-10000-111-10000002222-2-2-1-1-1-12-2-22-221111-1-10000-111-10000002222-2-2-1-1-1-12-2-22-221111-1-10000-111-1000000-2-2-2-2221111-222-22-2-1-1-1-11100001-1-11000000
χ592222-2-2-1-1-1-1-222-2-221111-1-100001-1-110000002222-2-2-1-1-1-1-222-2-221111-1-100001-1-110000002222-2-2-1-1-1-1-222-2-221111-1-100001-1-11000000-2-2-2-22211112-2-222-2-1-1-1-1110000-111-1000000
χ602222-2-2-1-1-1-1-2-2222-211-1-111000011-1-10000002222-2-2-1-1-1-1-2-2222-211-1-111000011-1-10000002222-2-2-1-1-1-1-2-2222-211-1-111000011-1-1000000-2-2-2-222111122-2-2-22-1-111-1-10000-1-111000000
χ612-22-22-22-22-20000002-200002i−2i2i−2i00000000002-22-22-22-22-20000002-200002i−2i2i−2i00000000002-22-22-22-22-20000002-200002i−2i2i−2i0000000000-22-22-22-22-22000000-220000−2i2i−2i2i0000000000
χ622-22-22-22-22-20000002-20000−2i2i−2i2i00000000002-22-22-22-22-20000002-20000−2i2i−2i2i00000000002-22-22-22-22-20000002-20000−2i2i−2i2i0000000000-22-22-22-22-22000000-2200002i−2i2i−2i0000000000
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χ1428-8-88008-8-8800000000000000000000000000−2−252+252+25−2−2500−2−252+252+25−2−2500000000000000000000000000−2+252−252−25−2+2500−2+252−252−25−2+2500000000000000000000000000000000000000000000000000000000000000
χ1438-8-8800-444-400000000−4i34i30000000000000000−2−252+252+25−2−25001+5−1−5−1−51+5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ460000000000000000−2+252−252−25−2+25001−5−1+5−1+51−5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000000000000000
χ1448-8-8800-444-4000000004i3−4i30000000000000000−2−252+252+25−2−25001+5−1−5−1−51+500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000000000−2+252−252−25−2+25001−5−1+5−1+51−500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000000

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