Finite Group Databasebeta

← Group #11859221

Character table — Group #11859221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424243333333366666666666612121212121212121212121212121212181818181818181836363636
order122244443666888812121212246688121224242424242424242244888844883666121212123666242424241212121261266242412122424242424242424661212242424241212242422224444666688881212121224668812122424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i-1-111−i−iii-11−ii1111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i-1-111−i−iii-11−ii1111-1-1-1-11111ii−i−i-1-1-1-11-111i−i-1-1ii−i−iii−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii11-1-1ii−i−i-11−ii1111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii11-1-1ii−i−i-11−ii1111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii11-1-1ii−i−i-11−ii
χ121111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii-1-111−i−iii1-1i−i1111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii-1-111−i−iii1-1i−i1111-1-1-1-11111ii−i−i-1-1-1-1-11-1-1−ii11ii−i−i−i−iii-1-111−i−iii1-1i−i
χ131111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii
χ141111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii-1-111ii−i−i-11i−i1111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii-1-111ii−i−i-11i−i1111-1-1-1-11111−i−iii-1-1-1-11-111−ii-1-1−i−iii−i−iii-1-111ii−i−i-11i−i
χ151111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i11-1-1−i−iii-11i−i1111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i11-1-1−i−iii-11i−i1111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i-1-111ii−i−i1-1−ii1111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i-1-111ii−i−i1-1−ii1111-1-1-1-11111−i−iii-1-1-1-1-11-1-1i−i11−i−iiiii−i−i-1-111ii−i−i1-1−ii
χ1722222222-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022222222-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022222222-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222222-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-1111100000000000022222222-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-1111100000000000022222222-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-11111000000000000
χ1922222222-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-1-11111111100000000000022222222-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-1-11111111100000000000022222222-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-1-111111111000000000000
χ2022222222-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-100000000000022222222-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-100000000000022222222-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-1000000000000
χ212222-2-2-2-2-1-1-1-12i2i−2i−2i11112-2-1-12i−2i11−i−iii−i−iii0000000000002222-2-2-2-2-1-1-1-12i2i−2i−2i11112-2-1-12i−2i11−i−iii−i−iii0000000000002222-2-2-2-2-1-1-1-12i2i−2i−2i11112-2-1-12i−2i11−i−iii−i−iii000000000000
χ222222-2-2-2-2-1-1-1-12i2i−2i−2i1111-2211−2i2i-1-1−i−iiiii−i−i0000000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111-2211−2i2i-1-1−i−iiiii−i−i0000000000002222-2-2-2-2-1-1-1-12i2i−2i−2i1111-2211−2i2i-1-1−i−iiiii−i−i000000000000
χ232222-2-2-2-2-1-1-1-1−2i−2i2i2i11112-2-1-1−2i2i11ii−i−iii−i−i0000000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i11112-2-1-1−2i2i11ii−i−iii−i−i0000000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i11112-2-1-1−2i2i11ii−i−iii−i−i000000000000
χ242222-2-2-2-2-1-1-1-1−2i−2i2i2i1111-22112i−2i-1-1ii−i−i−i−iii0000000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111-22112i−2i-1-1ii−i−i−i−iii0000000000002222-2-2-2-2-1-1-1-1−2i−2i2i2i1111-22112i−2i-1-1ii−i−i−i−iii000000000000
χ2522-2-22i−2i2i−2i22-2-200002i−2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22i−2i2i−2i22-2-200002i−2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22i−2i2i−2i22-2-200002i−2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ2622-2-22i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22i−2i2i−2i22-2-200002i−2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ2722-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ2822-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ292-22-22i−2i−2i2i2-22-200002i−2i−2i2i00000000000000002-22i−2i000000002-22-22i−2i−2i2i2-22-200002i−2i−2i2i00000000000000002-22i−2i000000002-22-22i−2i−2i2i2-22-200002i−2i−2i2i00000000000000002-22i−2i00000000
χ302-22-22i−2i−2i2i2-22-200002i−2i−2i2i0000000000000000-22−2i2i000000002-22-22i−2i−2i2i2-22-200002i−2i−2i2i0000000000000000-22−2i2i000000002-22-22i−2i−2i2i2-22-200002i−2i−2i2i0000000000000000-22−2i2i00000000
χ312-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i00000000000000002-2−2i2i000000002-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i00000000000000002-2−2i2i000000002-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i00000000000000002-2−2i2i00000000
χ322-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i0000000000000000-222i−2i000000002-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i0000000000000000-222i−2i000000002-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i0000000000000000-222i−2i00000000
χ332-2-2222-2-22-2-222i−2i2i−2i22-2-2000000002i−2i2i−2i00000000000000002-2-2222-2-22-2-222i−2i2i−2i22-2-2000000002i−2i2i−2i00000000000000002-2-2222-2-22-2-222i−2i2i−2i22-2-2000000002i−2i2i−2i0000000000000000
χ342-2-2222-2-22-2-22−2i2i−2i2i22-2-200000000−2i2i−2i2i00000000000000002-2-2222-2-22-2-22−2i2i−2i2i22-2-200000000−2i2i−2i2i00000000000000002-2-2222-2-22-2-22−2i2i−2i2i22-2-200000000−2i2i−2i2i0000000000000000
χ352-2-2222-2-2-111-12i−2i2i−2i-1-11100−i3i300−i3i3−ii−ii3−33−30000000000002-2-2222-2-2-111-12i−2i2i−2i-1-11100−i3i300−i3i3−ii−ii3−33−30000000000002-2-2222-2-2-111-12i−2i2i−2i-1-11100−i3i300−i3i3−ii−ii3−33−3000000000000
χ362-2-2222-2-2-111-12i−2i2i−2i-1-11100i3−i300i3−i3−ii−ii−33−330000000000002-2-2222-2-2-111-12i−2i2i−2i-1-11100i3−i300i3−i3−ii−ii−33−330000000000002-2-2222-2-2-111-12i−2i2i−2i-1-11100i3−i300i3−i3−ii−ii−33−33000000000000
χ372-2-2222-2-2-111-1−2i2i−2i2i-1-11100−i3i300−i3i3i−ii−i−33−330000000000002-2-2222-2-2-111-1−2i2i−2i2i-1-11100−i3i300−i3i3i−ii−i−33−330000000000002-2-2222-2-2-111-1−2i2i−2i2i-1-11100−i3i300−i3i3i−ii−i−33−33000000000000
χ382-2-2222-2-2-111-1−2i2i−2i2i-1-11100i3−i300i3−i3i−ii−i3−33−30000000000002-2-2222-2-2-111-1−2i2i−2i2i-1-11100i3−i300i3−i3i−ii−i3−33−30000000000002-2-2222-2-2-111-1−2i2i−2i2i-1-11100i3−i300i3−i3i−ii−i3−33−3000000000000
χ392-2-22-2-2222-2-222-2-22-2-222000000002-2-2200000000000000002-2-22-2-2222-2-222-2-22-2-222000000002-2-2200000000000000002-2-22-2-2222-2-222-2-22-2-222000000002-2-220000000000000000
χ402-2-22-2-2222-2-22-222-2-2-22200000000-222-200000000000000002-2-22-2-2222-2-22-222-2-2-22200000000-222-200000000000000002-2-22-2-2222-2-22-222-2-2-22200000000-222-20000000000000000
χ412-2-22-2-222-111-12-2-2211-1-100−i3i300i3−i3-111-1−i3i3i3−i30000000000002-2-22-2-222-111-12-2-2211-1-100−i3i300i3−i3-111-1−i3i3i3−i30000000000002-2-22-2-222-111-12-2-2211-1-100−i3i300i3−i3-111-1−i3i3i3−i3000000000000
χ422-2-22-2-222-111-12-2-2211-1-100i3−i300−i3i3-111-1i3−i3−i3i30000000000002-2-22-2-222-111-12-2-2211-1-100i3−i300−i3i3-111-1i3−i3−i3i30000000000002-2-22-2-222-111-12-2-2211-1-100i3−i300−i3i3-111-1i3−i3−i3i3000000000000
χ432-2-22-2-222-111-1-222-211-1-100−i3i300i3−i31-1-11i3−i3−i3i30000000000002-2-22-2-222-111-1-222-211-1-100−i3i300i3−i31-1-11i3−i3−i3i30000000000002-2-22-2-222-111-1-222-211-1-100−i3i300i3−i31-1-11i3−i3−i3i3000000000000
χ442-2-22-2-222-111-1-222-211-1-100i3−i300−i3i31-1-11−i3i3i3−i30000000000002-2-22-2-222-111-1-222-211-1-100i3−i300−i3i31-1-11−i3i3i3−i30000000000002-2-22-2-222-111-1-222-211-1-100i3−i300−i3i31-1-11−i3i3i3−i3000000000000
χ4544-4-44i−4i4i−4i-2-2220000−2i2i−2i2i000000000000000000000000000044-4-44i−4i4i−4i-2-2220000−2i2i−2i2i000000000000000000000000000044-4-44i−4i4i−4i-2-2220000−2i2i−2i2i0000000000000000000000000000
χ4644-4-4−4i4i−4i4i-2-22200002i−2i2i−2i000000000000000000000000000044-4-4−4i4i−4i4i-2-22200002i−2i2i−2i000000000000000000000000000044-4-4−4i4i−4i4i-2-22200002i−2i2i−2i0000000000000000000000000000
χ474-44-44i−4i−4i4i-22-220000−2i2i2i−2i00000000000000000000000000004-44-44i−4i−4i4i-22-220000−2i2i2i−2i00000000000000000000000000004-44-44i−4i−4i4i-22-220000−2i2i2i−2i0000000000000000000000000000
χ484-44-4−4i4i4i−4i-22-2200002i−2i−2i2i00000000000000000000000000004-44-4−4i4i4i−4i-22-2200002i−2i−2i2i00000000000000000000000000004-44-4−4i4i4i−4i-22-2200002i−2i−2i2i0000000000000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ53111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111
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χ55111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1
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χ14188-8-88i−8i8i−8i-4-4440000−4i4i−4i4i0000000000000000000000000000-4-444−4i4i−4i4i22-2-200002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8−8i8i−8i8i-4-44400004i−4i4i−4i0000000000000000000000000000-4-4444i−4i4i−4i22-2-20000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-88i−8i−8i8i-44-440000−4i4i4i−4i0000000000000000000000000000-44-44−4i4i4i−4i2-22-200002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8−8i8i8i−8i-44-4400004i−4i−4i4i0000000000000000000000000000-44-444i−4i−4i4i2-22-20000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.