Finite Group Databasebeta

← Group #11791405

Character table — Group #11791405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order12224444223344666666121212121212121236666666888812121212121212122424242424242424444412121212121212126612122424242424242424242424244444448888121212121212121212121212242424242424242424661212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1-1-111ii−i−iiiii−i−i−i−i1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111ii−i−iiiii−i−i−i−i-11ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−i−iii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111ii−i−iiiii−i−i−i−i-11−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111ii−i−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1-1-111−i−iii−i−i−i−iiiii1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111−i−iii−i−i−i−iiiii-11ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111−i−iii−i−i−i−iiiii-11−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1ii−i−i-11
χ1722222222222-122-1-1222-1-1-122-1-122-122-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000
χ1822222222222-122-1-1222-1-1-122-1-122-122-1-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000001111111100000000-2-21111000000
χ1922222222222-122-1-1222-1-1-122-1-122-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100222200000000-1-1-1-1-1-1-1-100000000-2-21111000000
χ2022222222222-122-1-1222-1-1-122-1-122-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100-2-2-2-200000000111111110000000022-1-1-1-1000000
χ212222222222-122222-1-1-1222-1-122-1-1-1-1-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200002222-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ222222222222-122222-1-1-1222-1-122-1-1-1-1-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-2-2-211110000000011111111000000000000
χ232222222222-122222-1-1-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-1-122-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111220000-2-2-2-2-1-1-1-10000000011111111000000000000
χ242222222222-122222-1-1-1222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-1-122-1-1-1-111111111-2-2-2-211111111-1-1-1-1-2-2-2-211111111-2-200002222111100000000-1-1-1-1-1-1-1-1000000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000222222222222-2-2-2-2000000000000-2-200000000-2-2-2-20000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000000022220000000000000000000000000000
χ2722222222-2-2-12-2-222-1-1-1222-1-122-1-1-111-2-1-1-1-2000011-2-2-1-1-1-1−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3-2-200000000111100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ2822222222-2-2-12-2-222-1-1-1222-1-122-1-1-111-2-1-1-1-2000011-2-2-1-1-1-1−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ2922222222-2-2-12-2-222-1-1-1222-1-122-1-1-111-2-1-1-1-2000011-2-2-1-1-1-1i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3-2-200000000111100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ3022222222-2-2-12-2-222-1-1-1222-1-122-1-1-111-2-1-1-1-2000011-2-2-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-222-2-2000000000000-2200000000-2-2220000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-200000000-2-222-2-2-2-2222222-2-20000000000002-20000000022-2-20000000000000000000000000000
χ332222-2-2-2-222-12-2-222-1-1-12-2-211-2-211-1-1-12-1-1-12000011-2-2111133−3−3−3−33322-2-2-1-1-1-11111-1-111000033−3−3−3−333-220000000011-1-10000000033−3−3−3−333000000000000
χ342222-2-2-2-222-12-2-222-1-1-12-2-211-2-211-1-1-12-1-1-12000011-2-2111133−3−3−3−333-2-2221111-1-1-1-1-1-111000033−3−3−3−3332-200000000-1-11100000000−3−33333−3−3000000000000
χ352222-2-2-2-222-12-2-222-1-1-12-2-211-2-211-1-1-12-1-1-12000011-2-21111−3−33333−3−322-2-2-1-1-1-11111-1-1110000−3−33333−3−3-220000000011-1-100000000−3−33333−3−3000000000000
χ362222-2-2-2-222-12-2-222-1-1-12-2-211-2-211-1-1-12-1-1-12000011-2-21111−3−33333−3−3-2-2221111-1-1-1-1-1-1110000−3−33333−3−32-200000000-1-1110000000033−3−3−3−333000000000000
χ372222-2-2-2-2-2-22-122-1-1222-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i22-1-111112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii002i2i−2i−2i00000000−i−i−i−iiiii000000002-2-1-111000000
χ382222-2-2-2-2-2-22-122-1-1222-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i22-1-111112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii00−2i−2i2i2i00000000iiii−i−i−i−i00000000-2211-1-1000000
χ392222-2-2-2-2-2-22-122-1-1222-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i22-1-11111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i002i2i−2i−2i00000000−i−i−i−iiiii00000000-2211-1-1000000
χ402222-2-2-2-2-2-22-122-1-1222-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i22-1-11111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i00−2i−2i2i2i00000000iiii−i−i−i−i000000002-2-1-111000000
χ412222-2-2-2-2-2-2-122222-1-1-12-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1-1221111−i−i−i−iiiii22-2-2-1-1-1-1111111-1-12i2i−2i−2i−i−i−i−iiiii2-200002i2i−2i−2i-1-11100000000−i−i−i−iiiii000000000000
χ422222-2-2-2-2-2-2-122222-1-1-12-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1-1221111−i−i−i−iiiii-2-2221111-1-1-1-111-1-12i2i−2i−2i−i−i−i−iiiii-220000−2i−2i2i2i11-1-100000000iiii−i−i−i−i000000000000
χ432222-2-2-2-2-2-2-122222-1-1-12-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1-1221111iiii−i−i−i−i22-2-2-1-1-1-1111111-1-1−2i−2i2i2iiiii−i−i−i−i2-20000−2i−2i2i2i-1-11100000000iiii−i−i−i−i000000000000
χ442222-2-2-2-2-2-2-122222-1-1-12-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1-1221111iiii−i−i−i−i-2-2221111-1-1-1-111-1-1−2i−2i2i2iiiii−i−i−i−i-2200002i2i−2i−2i11-1-100000000−i−i−i−iiiii000000000000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i000000002-22i−2i22-2-22i2i−2i−2i0000000000000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000001+i−1−i1−i−1+i00
χ4622-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i000000002-22i−2i22-2-22i2i−2i−2i000000000000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000−1−i1+i−1+i1−i00
χ4722-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i00000000-22−2i2i-2-222−2i−2i2i2i0000000000000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000−1−i1+i−1+i1−i00
χ4822-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i00000000-22−2i2i-2-222−2i−2i2i2i000000000000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000001+i−1−i1−i−1+i00
χ4922-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i000000002-2−2i2i22-2-2−2i−2i2i2i0000000000000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000001−i−1+i1+i−1−i00
χ5022-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i000000002-2−2i2i22-2-2−2i−2i2i2i000000000000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000−1+i1−i−1−i1+i00
χ5122-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i00000000-222i−2i-2-2222i2i−2i−2i0000000000000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000−1+i1−i−1−i1+i00
χ5222-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i00000000-222i−2i-2-2222i2i−2i−2i000000000000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000001−i−1+i1+i−1−i00
χ532-2-2222-2-22-2222-2-2-22-2-22-2-22222-2-222-22-2-22-200002-22-2-2-222000000000000000000002-22-20000000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ542-2-2222-2-22-2222-2-2-22-2-22-2-22222-2-222-22-2-22-200002-22-2-2-222000000000000000000002-22-2000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ552-2-2222-2-22-2-122-2-2-2-1112-2-2-1-12211-1-11211-1-20000-112-211-1-1−i3i3−i3i3−i3i3−i3i300003−33−33−33−3-11-110000−i3i3−i3i3−i3i3−i3i30000002i−2i2i−2i3−33−300000000−ii−ii−ii−ii000000000000
χ562-2-2222-2-22-2-122-2-2-2-1112-2-2-1-12211-1-11211-1-20000-112-211-1-1−i3i3−i3i3−i3i3−i3i30000−33−33−33−33-11-110000−i3i3−i3i3−i3i3−i3i3000000−2i2i−2i2i−33−3300000000i−ii−ii−ii−i000000000000
χ572-2-2222-2-22-2-122-2-2-2-1112-2-2-1-12211-1-11211-1-20000-112-211-1-1i3−i3i3−i3i3−i3i3−i300003−33−33−33−3-11-110000i3−i3i3−i3i3−i3i3−i3000000−2i2i−2i2i3−33−300000000i−ii−ii−ii−i000000000000
χ582-2-2222-2-22-2-122-2-2-2-1112-2-2-1-12211-1-11211-1-20000-112-211-1-1i3−i3i3−i3i3−i3i3−i30000−33−33−33−33-11-110000i3−i3i3−i3i3−i3i3−i30000002i−2i2i−2i−33−3300000000−ii−ii−ii−ii000000000000
χ592-2-2222-2-2-2222-22-2-22-2-22-2-22222-2-22-22-2-2-2222-22-2-22-22-2-2222-2-222-2-22000000000000-22-222-22-22-2-222-2-22000000000000000000000000000000000000000000
χ602-2-2222-2-2-2222-22-2-22-2-22-2-22222-2-22-22-2-2-222-22-22-22-22-2-222-222-2-222-2000000000000-22-22-22-22-222-2-222-2000000000000000000000000000000000000000000
χ612-2-2222-2-2-222-1-22112-2-2-11122-1-1-2-2-1-22111-1-12-22-2-221-111-1-12-2-222-2-220000000000001-11-1-11-11-111-1-111-100000000000000−i3i3−i3i3−i3i3−i3i30000000000−i3i3−i3i3000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.