Finite Group Databasebeta

← Group #11797754

Character table — Group #11797754

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12223344444466666688881212121212121212366688121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244444466661212121212121212121212121616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-11-111i−ii−i1-1-11-11-1-111-1-1ii−i−iii−i−i11-1-1i−ii−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ101-11-111i−ii−i1-1-11-11-1-111-1-1ii−i−iii−i−i11-1-1i−ii−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii
χ111-11-111i−ii−i1-1-11-11-1-111-1-1ii−i−iii−i−i11-1-1i−ii−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii
χ121-11-111i−ii−i1-1-11-11-1-111-1-1ii−i−iii−i−i11-1-1i−ii−ii−iiiii−i−i−i−i1-11-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i
χ131-11-111−ii−ii1-1-11-11-1-111-1-1−i−iii−i−iii11-1-1−ii−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii
χ141-11-111−ii−ii1-1-11-11-1-111-1-1−i−iii−i−iii11-1-1−ii−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i
χ151-11-111−ii−ii1-1-11-11-1-111-1-1−i−iii−i−iii11-1-1−ii−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i
χ161-11-111−ii−ii1-1-11-11-1-111-1-1−i−iii−i−iii11-1-1−ii−ii−ii−i−i−i−iiiii1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii
χ17222222222222222222-2-2-2-2222222222222-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222-2-2-2-222222200002222-2-2-2-222220022-2-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−22−22−2
χ1922222222-2-2-2-222222200002222-2-2-2-222220022-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−22−22−22−22
χ20222222-2-222-2-22222220000-2-2-2-22222222200-2-222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ21222222-2-222-2-22222220000-2-2-2-22222222200-2-222-2-222-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−22−222−22−2
χ22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000
χ2322222-12222222-1-122-122222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ2422222-12222222-1-122-122222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ2522222-12222222-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2622222-12222222-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2722222-1-2-2-2-2222-1-122-12222-2-2-2-21111-1-1-1-1-2-211-2-211111111-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112200-2-200-1-1-1-111110000000000000000
χ2822222-1-2-2-2-2222-1-122-12222-2-2-2-21111-1-1-1-1-2-211-2-211111111-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-20022001111-1-1-1-10000000000000000
χ2922222-1-2-2-2-2222-1-122-1-2-2-2-2-2-2-2-21111-1-1-1-12211-2-211111111-1-122-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ3022222-1-2-2-2-2222-1-122-1-2-2-2-2-2-2-2-21111-1-1-1-12211-2-211111111-1-122-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ312222-12222222-122-1-122222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
χ322222-12222222-122-1-122222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-2000000001111111100000000
χ332222-12222222-122-1-12-2-2-2-2-1-1-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ342222-12222222-122-1-12-2-2-2-2-1-1-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ352222-12-2-2-2-222-122-1-1222221111-2-2-2-2-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111002200-2-200000000-1-1-1-1111100000000
χ362222-12-2-2-2-222-122-1-1222221111-2-2-2-2-1-1-1-1-2-2-2-2111111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100-2-20022000000001111-1-1-1-100000000
χ372222-12-2-2-2-222-122-1-12-2-2-2-21111-2-2-2-2-1-1-1-122-2-2111111111122-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ382222-12-2-2-2-222-122-1-12-2-2-2-21111-2-2-2-2-1-1-1-122-2-2111111111122-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ392-22-2222i−2i2i−2i2-2-22-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i22-2-2−2i2i2i−2i2i−2i2i2i2i2i−2i−2i−2i−2i2-22-222-2-2-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000
χ402-22-2222i−2i−2i2i-22-22-22-2-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-222000000000000000000000000000000000000000000000000000000002−2−22i2−i2−i2i2
χ412-22-2222i−2i−2i2i-22-22-22-2-200002i2i−2i−2i−2i−2i2i2i22-2-2002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-22200000000000000000000000000000000000000000000000000000000−222−2−i2i2i2−i2
χ422-22-222−2i2i2i−2i-22-22-22-2-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-222000000000000000000000000000000000000000000000000000000002−2−22−i2i2i2−i2
χ432-22-222−2i2i2i−2i-22-22-22-2-20000−2i−2i2i2i2i2i−2i−2i22-2-200−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-22200000000000000000000000000000000000000000000000000000000−222−2i2−i2−i2i2
χ442-22-222−2i2i−2i2i2-2-22-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i22-2-22i−2i−2i2i−2i2i−2i−2i−2i−2i2i2i2i2i2-22-222-2-2-2-2-2-2-2-2-2-2222222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000
χ452-22-22-12i−2i2i−2i2-2-2-112-2122-2-22i2i−2i−2i−i−iii-1-1112i−2i−ii2i−2i−i−i−i−iiiii-112-2-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2-2002i−2i00-1-111−i−iii0000000000000000
χ462-22-22-12i−2i2i−2i2-2-2-112-2122-2-22i2i−2i−2i−i−iii-1-1112i−2i−ii2i−2i−i−i−i−iiiii-112-2-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii-2200−2i2i0011-1-1ii−i−i0000000000000000
χ472-22-22-12i−2i2i−2i2-2-2-112-21-2-2222i2i−2i−2i−i−iii-1-111−2i2i−ii2i−2i−i−i−i−iiiii-112-2-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−i3i3i3−i33−3−330000000000000000
χ482-22-22-12i−2i2i−2i2-2-2-112-21-2-2222i2i−2i−2i−i−iii-1-111−2i2i−ii2i−2i−i−i−i−iiiii-112-2-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000i3−i3−i3i3−333−30000000000000000
χ492-22-22-1−2i2i−2i2i2-2-2-112-2122-2-2−2i−2i2i2iii−i−i-1-111−2i2ii−i−2i2iiiii−i−i−i−i-112-2-1-11122-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-200−2i2i00-1-111ii−i−i0000000000000000
χ502-22-22-1−2i2i−2i2i2-2-2-112-2122-2-2−2i−2i2i2iii−i−i-1-111−2i2ii−i−2i2iiiii−i−i−i−i-112-2-1-11122-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i-22002i−2i0011-1-1−i−iii0000000000000000
χ512-22-22-1−2i2i−2i2i2-2-2-112-21-2-222−2i−2i2i2iii−i−i-1-1112i−2ii−i−2i2iiiii−i−i−i−i-112-2-1-111-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−i3i3i3−i3−333−30000000000000000
χ522-22-22-1−2i2i−2i2i2-2-2-112-21-2-222−2i−2i2i2iii−i−i-1-1112i−2ii−i−2i2iiiii−i−i−i−i-112-2-1-111-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii00000000i3−i3−i3i33−3−330000000000000000
χ532-22-2-122i−2i2i−2i2-212-2-11-222-2-2−i−iii2i2i−2i−2i-1-1112i−2i2i−2i−ii−i−i−i−iiiii2-2-11-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii002-2002i−2i00000000-1-111−i−iii00000000
χ542-22-2-122i−2i2i−2i2-212-2-11-222-2-2−i−iii2i2i−2i−2i-1-1112i−2i2i−2i−ii−i−i−i−iiiii2-2-11-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii00-2200−2i2i0000000011-1-1ii−i−i00000000
χ552-22-2-122i−2i2i−2i2-212-2-11-2-2-222−i−iii2i2i−2i−2i-1-111−2i2i2i−2i−ii−i−i−i−iiiii2-2-11-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000−i3i3i3−i33−3−3300000000
χ562-22-2-122i−2i2i−2i2-212-2-11-2-2-222−i−iii2i2i−2i−2i-1-111−2i2i2i−2i−ii−i−i−i−iiiii2-2-11-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000i3−i3−i3i3−333−300000000
χ572-22-2-12−2i2i−2i2i2-212-2-11-222-2-2ii−i−i−2i−2i2i2i-1-111−2i2i−2i2ii−iiiii−i−i−i−i2-2-11-1-111-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i002-200−2i2i00000000-1-111ii−i−i00000000
χ582-22-2-12−2i2i−2i2i2-212-2-11-222-2-2ii−i−i−2i−2i2i2i-1-111−2i2i−2i2ii−iiiii−i−i−i−i2-2-11-1-111-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i00-22002i−2i0000000011-1-1−i−iii00000000
χ592-22-2-12−2i2i−2i2i2-212-2-11-2-2-222ii−i−i−2i−2i2i2i-1-1112i−2i−2i2ii−iiiii−i−i−i−i2-2-11-1-11111-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000−i3i3i3−i3−333−300000000
χ602-22-2-12−2i2i−2i2i2-212-2-11-2-2-222ii−i−i−2i−2i2i2i-1-1112i−2i−2i2ii−iiiii−i−i−i−i2-2-11-1-11111-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000i3−i3−i3i33−3−3300000000
χ6144444-244-4-4-4-44-2-244-2000044442222-2-2-2-200-2-2-4-4-2-222-2-22222-4-422220000000000000000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-2-244-20000-4-4-4-4-2-2-2-2-2-2-2-200224422-2-222-2-222-4-422220000000000000000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-244-2-240000-2-2-2-2-4-4-4-4-2-2-2-2004422-2-222-2-222-4-42222220000000000000000000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-244-2-24000022224444-2-2-2-200-4-4-2-222-2-222-2-2-4-42222220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.