Finite Group Databasebeta

← Group #11857396

Character table — Group #11857396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424243333333366666666666612121212121212121212121212121212181818181818181836363636
order12224444223446661212121222446666661212121212128888888888883666121212126631212666121212126612126666661212121212122424242424242424242424242222444422644666121212122244666666121212121212888888888888
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
χ311111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ711111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ811111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111ii−i−iii−i−ii−ii−i
χ101111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111−i−iii−i−iii−ii−ii
χ111111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1ii−i−iii−i−i−ii−ii
χ121111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-111-111-1-111-1-111-1-1−i−iii−i−iiii−ii−i
χ131111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iiii−i−ii1111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iiii−i−ii1111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i−i−iiii−i−ii
χ141111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−iii−i1111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−iii−i1111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−iii−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111ii−i−i−i−iii−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111ii−i−i−i−iii−iii−i1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111ii−i−i−i−iii−iii−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−iiiii−i−ii−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−iiiii−i−ii−i−ii1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−iiiii−i−ii−i−ii
χ172222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-111110000000000002222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-111110000000000002222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111000000000000
χ1922222222-2-2-1-2-2-1-1-1-1-1-1-12-22-211-1-11111-1-11100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-12-22-211-1-11111-1-11100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-12-22-211-1-11111-1-111000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-1-22-221111-1-11111-1-100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-1-22-221111-1-11111-1-100000000000022222222-2-2-1-2-2-1-1-1-1-1-1-1-22-221111-1-11111-1-1000000000000
χ212222-2-2-2-222-1-2-2-1-1-111112-2-22-1-1-1-1111111-1-10000000000002222-2-2-2-222-1-2-2-1-1-111112-2-22-1-1-1-1111111-1-10000000000002222-2-2-2-222-1-2-2-1-1-111112-2-22-1-1-1-1111111-1-1000000000000
χ222222-2-2-2-222-1-2-2-1-1-11111-222-2-1-111-1-111-1-1110000000000002222-2-2-2-222-1-2-2-1-1-11111-222-2-1-111-1-111-1-1110000000000002222-2-2-2-222-1-2-2-1-1-11111-222-2-1-111-1-111-1-111000000000000
χ232222-2-2-2-2-2-2-122-1-1-1111122-2-211-1-1-1-1-1-111110000000000002222-2-2-2-2-2-2-122-1-1-1111122-2-211-1-1-1-1-1-111110000000000002222-2-2-2-2-2-2-122-1-1-1111122-2-211-1-1-1-1-1-11111000000000000
χ242222-2-2-2-2-2-2-122-1-1-11111-2-222111111-1-1-1-1-1-10000000000002222-2-2-2-2-2-2-122-1-1-11111-2-222111111-1-1-1-1-1-10000000000002222-2-2-2-2-2-2-122-1-1-11111-2-222111111-1-1-1-1-1-1000000000000
χ2522-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ2622-2-22i2i−2i−2i002002-2-22i2i−2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22i2i−2i−2i002002-2-22i2i−2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ2722-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ2822-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-2−2i−2i2i2i002002-2-2−2i−2i2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ292-22-22i−2i2i−2i00200-22-22i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-22-22i−2i2i−2i00200-22-22i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-22-22i−2i2i−2i00200-22-22i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ302-22-22i−2i2i−2i00200-22-22i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-22-22i−2i2i−2i00200-22-22i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-22-22i−2i2i−2i00200-22-22i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ312-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ322-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ332-2-222-2-222-222-2-2-222-2-2200002-200002-200000000000000002-2-222-2-222-222-2-2-222-2-2200002-200002-200000000000000002-2-222-2-222-222-2-2-222-2-2200002-200002-20000000000000000
χ342-2-222-2-222-2-12-211-1-111-10000-11−i3i3−i3i3-11−i3i3−i3i30000000000002-2-222-2-222-2-12-211-1-111-10000-11−i3i3−i3i3-11−i3i3−i3i30000000000002-2-222-2-222-2-12-211-1-111-10000-11−i3i3−i3i3-11−i3i3−i3i3000000000000
χ352-2-222-2-222-2-12-211-1-111-10000-11i3−i3i3−i3-11i3−i3i3−i30000000000002-2-222-2-222-2-12-211-1-111-10000-11i3−i3i3−i3-11i3−i3i3−i30000000000002-2-222-2-222-2-12-211-1-111-10000-11i3−i3i3−i3-11i3−i3i3−i3000000000000
χ362-2-222-2-22-222-22-2-222-2-220000-220000-2200000000000000002-2-222-2-22-222-22-2-222-2-220000-220000-2200000000000000002-2-222-2-22-222-22-2-222-2-220000-220000-220000000000000000
χ372-2-222-2-22-22-1-2211-1-111-100001-1−i3i3i3−i31-1−i3i3i3−i30000000000002-2-222-2-22-22-1-2211-1-111-100001-1−i3i3i3−i31-1−i3i3i3−i30000000000002-2-222-2-22-22-1-2211-1-111-100001-1−i3i3i3−i31-1−i3i3i3−i3000000000000
χ382-2-222-2-22-22-1-2211-1-111-100001-1i3−i3−i3i31-1i3−i3−i3i30000000000002-2-222-2-22-22-1-2211-1-111-100001-1i3−i3−i3i31-1i3−i3−i3i30000000000002-2-222-2-22-22-1-2211-1-111-100001-1i3−i3−i3i31-1i3−i3−i3i3000000000000
χ392-2-22-222-22-22-22-2-22-222-200002-20000-2200000000000000002-2-22-222-22-22-22-2-22-222-200002-20000-2200000000000000002-2-22-222-22-22-22-2-22-222-200002-20000-220000000000000000
χ402-2-22-222-22-2-1-2211-11-1-110000-11−i3i3i3−i31-1i3−i3−i3i30000000000002-2-22-222-22-2-1-2211-11-1-110000-11−i3i3i3−i31-1i3−i3−i3i30000000000002-2-22-222-22-2-1-2211-11-1-110000-11−i3i3i3−i31-1i3−i3−i3i3000000000000
χ412-2-22-222-22-2-1-2211-11-1-110000-11i3−i3−i3i31-1−i3i3i3−i30000000000002-2-22-222-22-2-1-2211-11-1-110000-11i3−i3−i3i31-1−i3i3i3−i30000000000002-2-22-222-22-2-1-2211-11-1-110000-11i3−i3−i3i31-1−i3i3i3−i3000000000000
χ422-2-22-222-2-2222-2-2-22-222-20000-2200002-200000000000000002-2-22-222-2-2222-2-2-22-222-20000-2200002-200000000000000002-2-22-222-2-2222-2-2-22-222-20000-2200002-20000000000000000
χ432-2-22-222-2-22-12-211-11-1-1100001-1−i3i3−i3i3-11i3−i3i3−i30000000000002-2-22-222-2-22-12-211-11-1-1100001-1−i3i3−i3i3-11i3−i3i3−i30000000000002-2-22-222-2-22-12-211-11-1-1100001-1−i3i3−i3i3-11i3−i3i3−i3000000000000
χ442-2-22-222-2-22-12-211-11-1-1100001-1i3−i3i3−i3-11−i3i3−i3i30000000000002-2-22-222-2-22-12-211-11-1-1100001-1i3−i3i3−i3-11−i3i3−i3i30000000000002-2-22-222-2-22-12-211-11-1-1100001-1i3−i3i3−i3-11−i3i3−i3i3000000000000
χ4544-4-44i4i−4i−4i00-200-222−2i−2i2i2i000000000000000000000000000044-4-44i4i−4i−4i00-200-222−2i−2i2i2i000000000000000000000000000044-4-44i4i−4i−4i00-200-222−2i−2i2i2i0000000000000000000000000000
χ4644-4-4−4i−4i4i4i00-200-2222i2i−2i−2i000000000000000000000000000044-4-4−4i−4i4i4i00-200-2222i2i−2i−2i000000000000000000000000000044-4-4−4i−4i4i4i00-200-2222i2i−2i−2i0000000000000000000000000000
χ474-44-44i−4i4i−4i00-2002-22−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i00-2002-22−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i00-2002-22−2i2i−2i2i0000000000000000000000000000
χ484-44-4−4i4i−4i4i00-2002-222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i00-2002-222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i00-2002-222i−2i2i−2i0000000000000000000000000000
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
χ5111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ5211111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1
χ5311111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-11111-1-111
χ5411111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-11-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11-1111-1-11111-1-1111111-1-1-1-111-1-1
χ5511111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-11-1-11111111-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-1-1-1111111-1-1
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χ14288-8-8−8i−8i8i8i00-400-4444i4i−4i−4i0000000000000000000000000000-4-4444i4i−4i−4i002002-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-88i−8i8i−8i00-4004-44−4i4i−4i4i0000000000000000000000000000-44-44−4i4i−4i4i00200-22-22i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8−8i8i−8i8i00-4004-444i−4i4i−4i0000000000000000000000000000-44-444i−4i4i−4i00200-22-2−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000

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