Finite Group Databasebeta

← Group #11772497

Character table — Group #11772497

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12222233444466666666668888121212123666666666881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444448888121212121212121224242424242424241616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1111-11-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1111-11-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1111-11-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1111-11-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91-11-11-111-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-1-111-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101-11-11-111-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-1-111-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111-11-11-111-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-1-111-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121-11-11-111-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-1-111-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131-11-1-1111-1-111-1-1-1-1-11111-111-1-1-1-1111-11-1-1-1-11111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ141-11-1-1111-1-111-1-1-1-1-11111-111-1-1-1-1111-11-1-1-1-11111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ151-11-1-1111-1-111-1-1-1-1-11111-111-1-1-1-1111-11-1-1-1-11111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ161-11-1-1111-1-111-1-1-1-1-11111-111-1-1-1-1111-11-1-1-1-11111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ172222222222222222222222-2-2-2-222222222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ1922222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ202222222-1222222-1-1-1-1-12-1-122222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ212222222-1222222-1-1-1-1-12-1-122222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ222222222-1222222-1-1-1-1-12-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ232222222-1222222-1-1-1-1-12-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ24222222-122222-1-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ25222222-122222-1-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000001111111100000000
χ26222222-122222-1-122222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ27222222-122222-1-122222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ282222-2-2222-22-2222-2-2-2-22222222-2-2-2-22-2-222-2-2-2-22-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000
χ292222-2-222-22-22222-2-2-2-2222000022222-2-222-2-2-2-2200-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ302222-2-222-22-22222-2-2-2-2222000022222-2-222-2-2-2-2200-2-222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−22−222−22−2
χ312222-2-22-12-22-222-111112-1-12222-2-2-2-2-1-2-2-1-11111-1-2-22-111-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ322222-2-22-12-22-222-111112-1-12222-2-2-2-2-1-2-2-1-11111-1-2-22-111-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ332222-2-22-12-22-222-111112-1-1-2-2-2-2-2-2-2-2-1-2-2-1-11111-1222-111-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-20000-1-1-1-111110000000000000000
χ342222-2-22-12-22-222-111112-1-1-2-2-2-2-2-2-2-2-1-2-2-1-11111-1222-111-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-22200001111-1-1-1-10000000000000000
χ352222-2-2-122-22-2-1-12-2-2-2-2-12222221111-111-1-11111-1-2-2-12-2-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000003−33−3−33−3300000000
χ362222-2-2-122-22-2-1-12-2-2-2-2-12222221111-111-1-11111-1-2-2-12-2-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000−33−333−33−300000000
χ372222-2-2-122-22-2-1-12-2-2-2-2-122-2-2-2-21111-111-1-11111-122-12-2-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ382222-2-2-122-22-2-1-12-2-2-2-2-122-2-2-2-21111-111-1-11111-122-12-2-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ392-22-22-2222-2-22-2-2-222-2-222-20000-2-22222-2-2-222-2-220022-2222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ402-22-22-2222-2-22-2-2-222-2-222-20000-2-22222-2-2-222-2-220022-2222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ412-22-22-222-222-2-2-2-222-2-222-222-2-222-2-222-2-2-222-2-22-22-2-22-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ422-22-22-22-1-222-2-2-21-1-1112-1122-2-222-2-2-12-211-1-111-1-22-21-1111-1-1112-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000003−3−333−3−330000000000000000
χ432-22-22-22-1-222-2-2-21-1-1112-1122-2-222-2-2-12-211-1-111-1-22-21-1111-1-1112-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-100000000−333−3−333−30000000000000000
χ442-22-22-22-1-222-2-2-21-1-1112-11-2-22222-2-2-12-211-1-111-12-2-21-1111-1-1112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-21111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ452-22-22-22-1-222-2-2-21-1-1112-11-2-22222-2-2-12-211-1-111-12-2-21-1111-1-1112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ462-22-22-2-12-222-211-222-2-2-12-222-2-2-1-111-1-1111-1-111-1-221-22-211-1-111-12-1-111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-100000000000000003−3−333−3−3300000000
χ472-22-22-2-12-222-211-222-2-2-12-222-2-2-1-111-1-1111-1-111-1-221-22-211-1-111-12-1-111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000000000000000−333−3−333−300000000
χ482-22-22-2-12-222-211-222-2-2-12-2-2-222-1-111-1-1111-1-111-12-21-22-211-1-111-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-2111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ492-22-22-2-12-222-211-222-2-2-12-2-2-222-1-111-1-1111-1-111-12-21-22-211-1-111-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ502-22-2-222222-2-2-2-2-2-2-22222-2000022-2-22-22-2-2-2-222200222-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−2−22−222−2
χ512-22-2-222222-2-2-2-2-2-2-22222-2000022-2-22-22-2-2-2-222200222-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−222−22−2−22
χ522-22-2-2222-2-222-2-2-2-2-22222-2-2-222-2-2222-22-2-2-2-2222-22-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ532-22-2-222-1-2-222-2-2111-1-12-1122-2-2-2-222-1-221111-1-1-12-2-211-11111-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ542-22-2-222-1-2-222-2-2111-1-12-1122-2-2-2-222-1-221111-1-1-12-2-211-11111-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ552-22-2-222-1-2-222-2-2111-1-12-11-2-222-2-222-1-221111-1-1-1-22-211-11111-1-12-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111000000003−3−33−333−30000000000000000
χ562-22-2-222-1-2-222-2-2111-1-12-11-2-222-2-222-1-221111-1-1-1-22-211-11111-1-12-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-211111100000000−333−33−3−330000000000000000
χ572-22-2-22-12-2-22211-2-2-222-12-222-2-211-1-1-11-11111-1-1-12-21-2-221111-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ582-22-2-22-12-2-22211-2-2-222-12-222-2-211-1-1-11-11111-1-1-12-21-2-221111-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ592-22-2-22-12-2-22211-2-2-222-12-2-2-22211-1-1-11-11111-1-1-1-221-2-221111-1-1-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-211110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ602-22-2-22-12-2-22211-2-2-222-12-2-2-22211-1-1-11-11111-1-1-1-221-2-221111-1-1-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-211110000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ614444444-2-4-4-4-444-2-2-2-2-24-2-20000-4-4-4-4-244-2-2-2-2-2-2-200-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-244444-24400002222-2-2-2-2-2-2-2-2-2-2002-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-24444-2-2-2-21-2-2111111144-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4-4-4-2-2-2-21-2-21111111-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2000022221-2-21111111002222-1-1-1-1-1-122-1-100003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2000022221-2-21111111002222-1-1-1-1-1-122-1-10000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ674444-4-44-2-44-4444-222224-2-200004444-2-4-4-2-22222-200-42-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-24-4-4-4-4-2440000-2-2-2-2-222-2-22222-2002-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-22222-2-2-24444222212211-1-1-1-11-4-4-2-22211-1-1-1-1-2-2112222-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-22222-2-2-2-4-4-4-4222212211-1-1-1-1144-2-22211-1-1-1-1-2-211-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-22222-2-2-20000-2-2-2-212211-1-1-1-110022-2-2-1-1111122-1-100003i3i−3i−3i00003i3i−3i−3i0000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-22222-2-2-20000-2-2-2-212211-1-1-1-110022-2-2-1-1111122-1-10000−3i−3i3i3i0000−3i−3i3i3i00003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.