Finite Group Databasebeta

← Group #11870442

Character table — Group #11870442

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222444433444466666612121212121212123666121212121212121212121212246666666612121212121212121212121222224444888888882424242424242424242424242424242422446666121212124424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-111-1
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-11
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-11-1
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11-11
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-11-11
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-1
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000222200000000-1-1-1-1-1-1-1-1000000-1-100-1-10000
χ20222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-20000-2-2-2-200000000111111110000001100110000
χ21222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111111-2-211-1-1-1-11111002200220000-2-2-2-20000000011111111000000-1-100-1-10000
χ22222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111111-2-211-1-1-1-1111100-2-200-2-20000222200000000-1-1-1-1-1-1-1-10000001100110000
χ2322222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12200220022220000-1-1-1-1-1-1-1-1000000000000-1-100-1-1000000
χ2422222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-2000011111111000000000000110011000000
χ2522222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-2-2-1-1-1-1111122002200-2-2-2-2000011111111000000000000-1-100-1-1000000
χ2622222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-2-2-1-1-1-11111-2-200-2-20022220000-1-1-1-1-1-1-1-1000000000000110011000000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000-2-22200000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000-2-222000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-1-2-211111122-1-12-222-1-1-1-1-1-1-2-211-1-1111111002200-2-2000022-2-200000000-1-1-1-11111000000-1-100110000
χ302222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-1-2-211111122-1-12-222-1-1-1-1-1-1-2-211-1-111111100-2-200220000-2-222000000001111-1-1-1-10000001100-1-10000
χ312222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-1-2-211111122-1-1-22-2-211111122-1-1-1-111-1-1-1-1002200-2-20000-2-222000000001111-1-1-1-1000000-1-100110000
χ322222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-1-2-211111122-1-1-22-2-211111122-1-1-1-111-1-1-1-100-2-20022000022-2-200000000-1-1-1-111110000001100-1-10000
χ332222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-111-2-21111-1-1222-2-1-122-1-1-1-111-2-2-1-11111112200-2-20022-2-20000-1-1-1-11111000000000000-1-10011000000
χ342222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-111-2-21111-1-1222-2-1-122-1-1-1-111-2-2-1-1111111-2-2002200-2-22200001111-1-1-1-10000000000001100-1-1000000
χ352222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-111-2-21111-1-122-2211-2-21111-1-122-1-111-1-1-1-12200-2-200-2-22200001111-1-1-1-1000000000000-1-10011000000
χ362222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-111-2-21111-1-122-2211-2-21111-1-122-1-111-1-1-1-1-2-200220022-2-20000-1-1-1-111110000000000001100-1-1000000
χ3722-2-22i2i−2i−2i222i−2i2-22-22-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i0000002-2002i−2i0000000000000000000000000000002-2002i−2i0000
χ3822-2-22i2i−2i−2i222i−2i2-22-22-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i000000-2200−2i2i000000000000000000000000000000-2200−2i2i0000
χ3922-2-22i2i−2i−2i22−2i2i-222-22-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i00002-2002i−2i0000000000000000000000000000002-2002i−2i000000
χ4022-2-22i2i−2i−2i22−2i2i-222-22-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i0000-2200−2i2i000000000000000000000000000000-2200−2i2i000000
χ4122-2-22i2i−2i−2i2-12i−2i2-22-2-11-212i2i−2i−2i−i−iii-1-1112i−2i−ii−i−iii2-2-110000−i3i3−i3−i3i3i3003−3-11−ii33−3−3002-2002i−2i0000000000000000−i3−i3i3i333−3−3000000-1100−ii0000
χ4222-2-22i2i−2i−2i2-12i−2i2-22-2-11-212i2i−2i−2i−i−iii-1-1112i−2i−ii−i−iii2-2-110000−i3i3−i3−i3i3i3003−3-11−ii33−3−300-2200−2i2i0000000000000000i3i3−i3−i3−3−3330000001-100i−i0000
χ4322-2-22i2i−2i−2i2-12i−2i2-22-2-11-212i2i−2i−2i−i−iii-1-1112i−2i−ii−i−iii2-2-110000i3−i3i3i3−i3−i300−33-11−ii−3−333002-2002i−2i0000000000000000i3i3−i3−i3−3−333000000-1100−ii0000
χ4422-2-22i2i−2i−2i2-12i−2i2-22-2-11-212i2i−2i−2i−i−iii-1-1112i−2i−ii−i−iii2-2-110000i3−i3i3i3−i3−i300−33-11−ii−3−33300-2200−2i2i0000000000000000−i3−i3i3i333−3−30000001-100i−i0000
χ4522-2-22i2i−2i−2i-12−2i2i-22-112-21-2−i−iii2i2i−2i−2i-1-111i−i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i33−3001-1i−i3−33−32-2002i−2i0000000000−i3−i3i3i333−3−3000000000000-1100−ii000000
χ4622-2-22i2i−2i−2i-12−2i2i-22-112-21-2−i−iii2i2i−2i−2i-1-111i−i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i33−3001-1i−i3−33−3-2200−2i2i0000000000i3i3−i3−i3−3−3330000000000001-100i−i000000
χ4722-2-22i2i−2i−2i-12−2i2i-22-112-21-2−i−iii2i2i−2i−2i-1-111i−i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i3−33001-1i−i−33−332-2002i−2i0000000000i3i3−i3−i3−3−333000000000000-1100−ii000000
χ4822-2-22i2i−2i−2i-12−2i2i-22-112-21-2−i−iii2i2i−2i−2i-1-111i−i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i3−33001-1i−i−33−33-2200−2i2i0000000000−i3−i3i3i333−3−30000000000001-100i−i000000
χ4922-2-2−2i−2i2i2i222i−2i-222-22-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i00002-200−2i2i0000000000000000000000000000002-200−2i2i000000
χ5022-2-2−2i−2i2i2i222i−2i-222-22-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i0000-22002i−2i000000000000000000000000000000-22002i−2i000000
χ5122-2-2−2i−2i2i2i22−2i2i2-22-22-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i0000002-200−2i2i0000000000000000000000000000002-200−2i2i0000
χ5222-2-2−2i−2i2i2i22−2i2i2-22-22-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i000000-22002i−2i000000000000000000000000000000-22002i−2i0000
χ5322-2-2−2i−2i2i2i2-1−2i2i2-22-2-11-21−2i−2i2i2iii−i−i-1-111−2i2ii−iii−i−i2-2-110000−i3i3−i3−i3i3i300−33-11i−i−3−333002-200−2i2i0000000000000000−i3−i3i3i3−3−333000000-1100i−i0000
χ5422-2-2−2i−2i2i2i2-1−2i2i2-22-2-11-21−2i−2i2i2iii−i−i-1-111−2i2ii−iii−i−i2-2-110000−i3i3−i3−i3i3i300−33-11i−i−3−33300-22002i−2i0000000000000000i3i3−i3−i333−3−30000001-100−ii0000
χ5522-2-2−2i−2i2i2i2-1−2i2i2-22-2-11-21−2i−2i2i2iii−i−i-1-111−2i2ii−iii−i−i2-2-110000i3−i3i3i3−i3−i3003−3-11i−i33−3−3002-200−2i2i0000000000000000i3i3−i3−i333−3−3000000-1100i−i0000
χ5622-2-2−2i−2i2i2i2-1−2i2i2-22-2-11-21−2i−2i2i2iii−i−i-1-111−2i2ii−iii−i−i2-2-110000i3−i3i3i3−i3−i3003−3-11i−i33−3−300-22002i−2i0000000000000000−i3−i3i3i3−3−3330000001-100−ii0000
χ5722-2-2−2i−2i2i2i-122i−2i-22-112-21-2ii−i−i−2i−2i2i2i-1-111−ii2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i3−33001-1−ii−33−332-200−2i2i0000000000−i3−i3i3i3−3−333000000000000-1100i−i000000
χ5822-2-2−2i−2i2i2i-122i−2i-22-112-21-2ii−i−i−2i−2i2i2i-1-111−ii2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i3−33001-1−ii−33−33-22002i−2i0000000000i3i3−i3−i333−3−30000000000001-100−ii000000
χ5922-2-2−2i−2i2i2i-122i−2i-22-112-21-2ii−i−i−2i−2i2i2i-1-111−ii2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i33−3001-1−ii3−33−32-200−2i2i0000000000i3i3−i3−i333−3−3000000000000-1100i−i000000
χ6022-2-2−2i−2i2i2i-122i−2i-22-112-21-2ii−i−i−2i−2i2i2i-1-111−ii2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i33−3001-1−ii3−33−3-22002i−2i0000000000−i3−i3i3i3−3−3330000000000001-100−ii000000
χ612-2-222-22-2220000-2-2-2-2222-22-22-22-22-2-2200002-22-200000000000000000000000000000000002−22−22−22−22−22−22−22−22−22−22−22−22-22-2000000000000
χ622-2-222-22-2220000-2-2-2-2222-22-22-22-22-2-2200002-22-200000000000000000000000000000000002−22−2−22−222−22−22−22−2−22−22−22−22-22-22000000000000
χ632-2-222-22-2220000-2-2-2-2222-22-22-22-22-2-2200002-22-20000000000000000000000000000000000−22−222−22−2−22−22−22−222−22−22−22−2-22-22000000000000
χ642-2-222-22-2220000-2-2-2-2222-22-22-22-22-2-2200002-22-20000000000000000000000000000000000−22−22−22−22−22−22−22−22−22−22−22−222-22-2000000000000
χ652-2-22-22-22220000-2-2-2-222-22-22-22-222-2-220000-22-2200000000000000000000000000000000002−2−222−2−222−22−2−22−222−22−2−22−222-2-22000000000000
χ662-2-22-22-22220000-2-2-2-222-22-22-22-222-2-220000-22-2200000000000000000000000000000000002−2−22−222−22−22−2−22−22−22−222−22−2-222-2000000000000
χ672-2-22-22-22220000-2-2-2-222-22-22-22-222-2-220000-22-220000000000000000000000000000000000−222−22−2−22−22−222−22−22−22−2−22−22-222-2000000000000
χ682-2-22-22-22220000-2-2-2-222-22-22-22-222-2-220000-22-220000000000000000000000000000000000−222−2−222−2−22−222−22−2−22−222−22−22-2-22000000000000
χ69444444444-2-4-4-4-444-2-24-24444-2-2-2-2-2-2-2-2-4-422-2-2-2-2-4-4220000000000000022220000000000000000000000000000000000000000000000000000
χ7044444444-24-4-4-4-4-2-244-24-2-2-2-24444-2-2-2-222-4-4-2-2-2-222-4-40000000000000022220000000000000000000000000000000000000000000000000000
χ7144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-244-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ7244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2-4-42222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000000000000000
χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211112222111122220000003-3-330000-1-1-1-13-3-33000000000000000000000000000000000000000000000000
χ7444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222211112222000000-333-30000-1-1-1-1-333-3000000000000000000000000000000000000000000000000
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χ1148-8-88-88-88-4-400004444-4-44-44-44-44-42-2-220000-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).