Finite Group Databasebeta

← Group #11787410

Character table — Group #11787410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222444422334466666612121212121212123666666666668888121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422448888888824666688121212122424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11111i−i-1-1-1-1ii−i−iii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-11111−ii-1-1-1-1−i−iii−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11-1-1-1-1i−i1111ii−i−iii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11-1-1-1-1−ii1111−i−iii−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1ii−i−iii−i−i-1111-1-1−ii-1-111ii−i−i−i−iii−i−iiii−i
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−iii−i−iii-1111-1-1i−i-1-111−i−iiiii−i−iii−i−i−ii
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111ii−i−i−i−iii1-1-1-111−ii11-1-1ii−i−i−i−iiiii−i−i−ii
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−i−iiiii−i−i1-1-1-111i−i11-1-1−i−iiiii−i−i−i−iiii−i
χ1722222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-100-1-1-1-100000000000000
χ1822222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2111100111100000000000000
χ1922222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-2-2-1-11100-1-11100000000000000
χ2022222222222-12222-1-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000002211-1-10011-1-100000000000000
χ212222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000000000220000-1-1-1-1-1-1-1-1000000
χ222222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000000-2-2000011111111000000
χ232222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022220000000000-2-20000-1-1-1-11111000000
χ242222222222-1222-1-122-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-200000000002200001111-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-200000000000000000000000000000000000000002222000000000000000000000000-2-2
χ2622222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000000022
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i000000000000000000000000−2i2i
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i0000000000000000000000002i−2i
χ292222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000000002-2-1-1-1-100111100000000000000
χ302222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000-22111100-1-1-1-100000000000000
χ312222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-22-1-1110011-1-100000000000000
χ322222-2-2-2-2-2-22-12222-1-12-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-211-1-100-1-11100000000000000
χ332222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i2i−2i−2i00000000002i−2i0000−i−iii−i−iii000000
χ342222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i−2i2i2i0000000000−2i2i0000ii−i−iii−i−i000000
χ352222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i2i−2i−2i0000000000−2i2i0000−i−iiiii−i−i000000
χ362222-2-2-2-2-2-2-1222-1-122-12-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i−2i2i2i00000000002i−2i0000ii−i−i−i−iii000000
χ3722-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-20000-22−2−i2i200002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000001+i−1−i1−i−1+i00
χ3822-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-20000-22−2−i2i200002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000−1−i1+i−1+i1−i00
χ3922-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-20000-2−22i2−i200002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000−1−i1+i−1+i1−i00
χ4022-2-22i−2i2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i200002-20000-2−22i2−i200002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000001+i−1−i1−i−1+i00
χ4122-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-20000-22−2i2−i20000−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000001−i−1+i1+i−1−i00
χ4222-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-20000-22−2i2−i20000−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000−1+i1−i−1−i1+i00
χ4322-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-20000-2−22−i2i20000−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000−1+i1−i−1−i1+i00
χ4422-2-2−2i2i−2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i200002-20000-2−22−i2i20000−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000001−i−1+i1+i−1−i00
χ452-2-2222-2-22-2222-2-2-2-2-2222-22-22-22-222-22-2-2-222-2-22000022222-22-2-2-2-2-20000000000000000000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ462-2-2222-2-22-2222-2-2-2-2-2222-22-22-22-222-22-2-2-222-2-22000022222-22-2-2-2-2-2000000000000000000000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ472-2-2222-2-22-2-122-211-2-2-122-22-2-11-11-1-112-211-1-111-10000-12-1-1-11-111-2113−33−3000033−3−333−3−33−33−3000033−3−333−3−300002i−2i2i−2i0000000000000000−ii−ii−i3i3−i3i3000000
χ482-2-2222-2-22-2-122-211-2-2-122-22-2-11-11-1-112-211-1-111-10000-12-1-1-11-111-2113−33−3000033−3−333−3−33−33−3000033−3−333−3−30000−2i2i−2i2i0000000000000000i−ii−ii3−i3i3−i3000000
χ492-2-2222-2-22-2-122-211-2-2-122-22-2-11-11-1-112-211-1-111-10000-12-1-1-11-111-211−33−330000−3−333−3−333−33−330000−3−333−3−33300002i−2i2i−2i0000000000000000−ii−iii3−i3i3−i3000000
χ502-2-2222-2-22-2-122-211-2-2-122-22-2-11-11-1-112-211-1-111-10000-12-1-1-11-111-211−33−330000−3−333−3−333−33−330000−3−333−3−3330000−2i2i−2i2i0000000000000000i−ii−i−i3i3−i3i3000000
χ512-2-2222-2-2-2222-22-2-2-2-2222-22-22-22-22-22-22-2-2-2-22220000-2-2-2-22-22-22222000000000000000000000000000000002-22-200000000002-200002-20000000000000000
χ522-2-2222-2-2-2222-22-2-2-2-2222-22-22-22-22-22-22-2-2-2-22220000-2-2-2-22-22-2222200000000000000000000000000000000-22-220000000000-220000-220000000000000000
χ532-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-11111-1-1-10000-2111-11-112-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-20000000000-11−i3i300-11−i3i300000000000000
χ542-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-11111-1-1-10000-2111-11-112-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-2200000000001-1i3−i3001-1i3−i300000000000000
χ552-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-11111-1-1-10000-2111-11-112-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-20000000000-11i3−i300-11i3−i300000000000000
χ562-2-2222-2-2-222-1-22-2-2112-1-11-112-22-2-1-221-11111-1-1-10000-2111-11-112-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-2200000000001-1−i3i3001-1−i3i300000000000000
χ572-2-22-2-2222-222-22-2-2-2-222-22-22-22-2222-22-2-2-222-2-220000-2-2-2-2-22-222222000000000000000000000000000000002-2-2200000000002-20000-220000000000000000
χ582-2-22-2-2222-222-22-2-2-2-222-22-22-22-2222-22-2-2-222-2-220000-2-2-2-2-22-22222200000000000000000000000000000000-222-20000000000-2200002-20000000000000000
χ592-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-111-10000-21111-11-12-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-220000000000-11−i3i3001-1i3−i300000000000000
χ602-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-111-10000-21111-11-12-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-222-200000000001-1i3−i300-11−i3i300000000000000
χ612-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-111-10000-21111-11-12-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-220000000000-11i3−i3001-1−i3i300000000000000
χ622-2-22-2-2222-22-1-22-2-2112-11-11-1-22-22-12-2-1111-1-111-10000-21111-11-12-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-222-200000000001-1−i3i300-11i3−i300000000000000
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χ1184-4-4444-4-4-44-24-4422-4-4-244-44-4-22-22-22-2-442222-2-2-200002-422-22-22-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4444-4-4-44-2-2-442222-2-2-22-22-22-2212-22-2-1-1-1-1111000022-1-11-11-1-2-2110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
χ1204-4-4444-4-4-44-2-2-442222-2-2-22-22-22-2212-22-2-1-1-1-1111000022-1-11-11-1-2-21100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1214-4-44-4-4444-4-24-4422-4-4-24-44-442-22-2-2-224-422-2-222-200002-4222-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-44-4-4444-4-2-2-442222-2-22-22-22-22-21-22-22-1-111-1-11000022-1-1-11-11-2-2110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1234-4-44-4-4444-4-2-2-442222-2-22-22-22-22-21-22-22-1-111-1-11000022-1-1-11-11-2-21100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
χ1244-4-44-4-444-444-24-4-4-4224-22-22-2-44-44-2-442-22222-2-2-200004-2-2-22-22-2-42220000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-4-444-44-2-24-42222-2-22-22-22-22-212-22-2-1-1-1-11110000-2-211-11-1122-1-123−2323−230000−3−333−3−333−2323−2323000033−3−333−3−300000000000000000000000000000000000000
χ1264-4-44-4-444-44-2-24-42222-2-22-22-22-22-212-22-2-1-1-1-11110000-2-211-11-1122-1-1−2323−2323000033−3−333−3−323−2323−230000−3−333−3−33300000000000000000000000000000000000000

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