Finite Group Databasebeta

← Group #11787043

Character table — Group #11787043

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122244442233446666666666121212121212121212121212344446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888888888824242424242424242424242424242424441212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ91111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-111iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1i−i
χ101111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-111iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1-11-1-111−i−iii-1-111−ii
χ111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-111iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−iiii−i−i-1-111−i−i−i−iiiii-1-1-1-111111-111-1-1ii−i−i-1-111−ii
χ121111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-111iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−ii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11-1-111−i−iii11-1-1i−i
χ131111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11-1-111ii−i−i11-1-1−ii
χ141111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−i−i−iii-1-111iiii−i−i−i−i-1-1-1-111111-111-1-1−i−iii-1-111i−i
χ151111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−iiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-11-1-111ii−i−i-1-111i−i
χ161111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-111-1-1−i−iii11-1-1−ii
χ1722222222222-12222222-122-1-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ1822222222222-12222222-122-1-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ1922222222222-12222222-122-1-12222-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111000000222200000000000000000000-2-21111-1-1-1-1000000
χ2022222222222-12222222-122-1-12222-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111000000-2-2-2-20000000000000000000022-1-1-1-11111000000
χ212222222222-1222-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222222-1222-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-2-2-211111111111111110000000000000000
χ232222222222-1222-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222220000-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222222-1222-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-2-222-2-222-2-222-2-222-2-22222-2-2222220000-222-2-2-22-2-2-2-200000000-2-2-2-222220000000000000000000000002222-2-20000000022-2-222-2-2000000000000000000000000
χ2622222222-2-222-2-222-2-222-2-222-2-22222-2-2222220000-222-2-2-22-2-2-2-200000000-2-2-2-22222000000000000000000000000-2-2-2-22200000000-2-222-2-222000000000000000000000000
χ2722222222-2-2-12-2-2-1-111-12112211-1-12211-1-122-10000-2-1-111-2-111-2-233−3−333−3−31111-1-1-1-100003333−3−3−3−300003333−3−3−3−32222-2-200000000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-2-2-12-2-2-1-111-12112211-1-12211-1-122-10000-2-1-111-2-111-2-233−3−333−3−31111-1-1-1-100003333−3−3−3−300003333−3−3−3−3-2-2-2-2220000000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-2-2-12-2-2-1-111-12112211-1-12211-1-122-10000-2-1-111-2-111-2-2−3−333−3−3331111-1-1-1-10000−3−3−3−333330000−3−3−3−333332222-2-200000000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-2-2-12-2-2-1-111-12112211-1-12211-1-122-10000-2-1-111-2-111-2-2−3−333−3−3331111-1-1-1-10000−3−3−3−333330000−3−3−3−33333-2-2-2-2220000000011-1-111-1-133−3−333−3−30000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-220000222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002i2i−2i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-220000222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000−2i−2i2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-2-222-12-2-2-1-1-1-1-12-1-1221111-2-21111-2-2-100002-1-1-1-12-1-1-1-2-2−i3−i3i3i3i3i3−i3−i3111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i32i2i−2i−2i−2i2i00000000−i−iiiii−i−i−3−33333−3−30000000000000000
χ342222-2-2-2-222-12-2-2-1-1-1-1-12-1-1221111-2-21111-2-2-100002-1-1-1-12-1-1-1-2-2−i3−i3i3i3i3i3−i3−i3111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i2i−2i00000000ii−i−i−i−iii33−3−3−3−3330000000000000000
χ352222-2-2-2-222-12-2-2-1-1-1-1-12-1-1221111-2-21111-2-2-100002-1-1-1-12-1-1-1-2-2i3i3−i3−i3−i3−i3i3i3111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i32i2i−2i−2i−2i2i00000000−i−iiiii−i−i33−3−3−3−3330000000000000000
χ362222-2-2-2-222-12-2-2-1-1-1-1-12-1-1221111-2-21111-2-2-100002-1-1-1-12-1-1-1-2-2i3i3−i3−i3−i3−i3i3i3111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i2i−2i00000000ii−i−i−i−iii−3−33333−3−30000000000000000
χ372222-2-2-2-2-2-22-12222-2-22-1-2-2-1-122-2-21122-2-211-12i2i−2i−2i1-1-1111-111-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000002i2i−2i−2i000000000000000000002-2-1-111−i−iii000000
χ382222-2-2-2-2-2-22-12222-2-22-1-2-2-1-122-2-21122-2-211-12i2i−2i−2i1-1-1111-111-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii000000−2i−2i2i2i00000000000000000000-2211-1-1ii−i−i000000
χ392222-2-2-2-2-2-22-12222-2-22-1-2-2-1-122-2-21122-2-211-1−2i−2i2i2i1-1-1111-111-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000002i2i−2i−2i00000000000000000000-2211-1-1−i−iii000000
χ402222-2-2-2-2-2-22-12222-2-22-1-2-2-1-122-2-21122-2-211-1−2i−2i2i2i1-1-1111-111-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i000000−2i−2i2i2i000000000000000000002-2-1-111ii−i−i000000
χ412222-2-2-2-2-2-2-1222-1-111-121122-1-111-2-2-1-111-2-2-12i2i−2i−2i-2-1-111-2-11122−i−i−i−iiiii-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i−2i−2i2i−2i000022-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ422222-2-2-2-2-2-2-1222-1-111-121122-1-111-2-2-1-111-2-2-12i2i−2i−2i-2-1-111-2-11122−i−i−i−iiiii-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii−2i−2i2i2i−2i2i0000-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ432222-2-2-2-2-2-2-1222-1-111-121122-1-111-2-2-1-111-2-2-1−2i−2i2i2i-2-1-111-2-11122iiii−i−i−i−i-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i2i−2i0000-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ442222-2-2-2-2-2-2-1222-1-111-121122-1-111-2-2-1-111-2-2-1−2i−2i2i2i-2-1-111-2-11122iiii−i−i−i−i-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i−2i2i000022-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ4522-2-22i−2i2i−2i0022002-200-2-2002-2002i−2i2i−2i002i−2i2i−2i21+i−1−i1−i−1+i02-2000-200001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002−2−i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i20000000000000000
χ4622-2-22i−2i2i−2i0022002-200-2-2002-2002i−2i2i−2i002i−2i2i−2i21+i−1−i1−i−1+i02-2000-200001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002i2i−2i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−22i2−i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i20000000000000000
χ4722-2-22i−2i2i−2i0022002-200-2-2002-2002i−2i2i−2i002i−2i2i−2i2−1−i1+i−1+i1−i02-2000-20000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−22i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i20000000000000000
χ4822-2-22i−2i2i−2i0022002-200-2-2002-2002i−2i2i−2i002i−2i2i−2i2−1−i1+i−1+i1−i02-2000-20000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002i2i−2i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002−2−i2i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i20000000000000000
χ4922-2-22i−2i2i−2i00-1200-11−i3i31-2−i3i32-23−3−ii2i−2i3−3−ii2i−2i-11+i−1−i1−i−1+i0-11−i3i301−i3i300−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1433−3−3−i−iii1+i1+i−1−i−1−i−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ221−i1−i−1+i−1+i−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ142ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002−2−i2i2−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
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χ1354-4-44-4-444-444-24-4-4-4-4-44-2442244-4-422-4-444-2-2-2000022222-2-2-2-2-2200000000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000
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χ1384-4-44-4-444-44-2-24-42222-2-2-2-222-2-2222222-2-2-2-2100002-1-1-1-1-2111-22000000001-11-1-11-110000-33-333-33-300003-33-3-33-330000000000000000000000000000000000000000000000

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