Finite Group Databasebeta

← Group #11796862

Character table — Group #11796862

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order124422233444666666888812121212121212123666666666668812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244444466661212121212121212121212121616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111-1-111-1-11-1-11-1-11-1-1-1-111-1-111-1-111-11-111-1-1-1-1111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i
χ611111-1-111-1-11-1-11-1-11-1-1-1-111-1-111-1-111-11-111-1-1-1-1111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii
χ711111-1-111-1-11-1-11-1-11-1-1-1-111-1-111-1-111-11-111-1-1-1-1111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−i-1-111iiii−i−i−i−i-1-111−i−i−i−iiiii
χ811111-1-111-1-11-1-11-1-11-1-1-1-111-1-111-1-111-11-111-1-1-1-1111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iii-1-111−i−i−i−iiiii-1-111iiii−i−i−i−i
χ911-1-1-11-1111-11111-1-1111-1-1-1-111-1-1-1-11-11-1-1-1-111-1-111-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−ii−i1111ii−i−iii−i−i-1-1-1-1ii−i−iii−i−i
χ1011-1-1-11-1111-11111-1-1111-1-1-1-111-1-1-1-11-11-1-1-1-111-1-111-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii1111−i−iii−i−iii-1-1-1-1−i−iii−i−iii
χ1111-1-1-11-1111-11111-1-1111-1-1-1-111-1-1-1-11-11-1-1-1-111-1-111-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−ii−i-1-1-1-1ii−i−iii−i−i1111−i−iii−i−iii
χ1211-1-1-11-1111-11111-1-1111-1-1-1-111-1-1-1-11-11-1-1-1-111-1-111-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−ii−ii-1-1-1-1−i−iii−i−iii1111ii−i−iii−i−i
χ1311-1-1-1-1111-111-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-11111-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111
χ1411-1-1-1-1111-111-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-11111-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1511-1-1-1-1111-111-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-11111-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1611-1-1-1-1111-111-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-11111-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-222222222222222222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222-1222-1-1222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-100000000
χ1922222222-1222-1-1222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111100000000111100000000
χ2022222222-1222-1-1222-1-2-2-2-22222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000−i3i3−i3i300000000−i3i3−i3i300000000
χ2122222222-1222-1-1222-1-2-2-2-22222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000i3−i3i3−i300000000i3−i3i3−i300000000
χ222222222-1222222-1-1-122222-1-1-1-12222-1-1-122-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-1-1-1000000000000
χ232222222-1222222-1-1-122222-1-1-1-12222-1-1-122-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000011111111000000000000
χ242222222-1222222-1-1-12-2-2-2-2-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ252222222-1222222-1-1-12-2-2-2-2-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ2622222-2-222-2-22-2-22-2-22222222-2-222-2-222-22-222-2-2-2-22-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000
χ2722222-2-22-1-2-22112-2-2-1222222-2-2-1-111-12-2-11-1-11111-1-2-2-21-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000−i3i3i3−i300000000−i3i3i3−i300000000
χ2822222-2-22-1-2-22112-2-2-1222222-2-2-1-111-12-2-11-1-11111-1-2-2-21-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000i3−i3−i3i300000000i3−i3−i3i300000000
χ2922222-2-22-1-2-22112-2-2-1-2-2-2-222-2-2-1-111-12-2-11-1-11111-122-21-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-22-20000-1-11100000000-1-11100000000
χ3022222-2-22-1-2-22112-2-2-1-2-2-2-222-2-2-1-111-12-2-11-1-11111-122-21-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-22-22000011-1-10000000011-1-100000000
χ3122222-2-2-12-2-22-2-2-11122222-1-11122-2-2-1-112-2-1-11111-1-2-21-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000003−33−3−33−33000000000000
χ3222222-2-2-12-2-22-2-2-11122222-1-11122-2-2-1-112-2-1-11111-1-2-21-2-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000−33−333−33−3000000000000
χ3322222-2-2-12-2-22-2-2-1112-2-2-2-2-1-11122-2-2-1-112-2-1-11111-1221-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100002i2i−2i−2i0000−i−i−i−iiiii000000000000
χ3422222-2-2-12-2-22-2-2-1112-2-2-2-2-1-11122-2-2-1-112-2-1-11111-1221-2-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000−2i−2i2i2i0000iiii−i−i−i−i000000000000
χ352222-22-222-22-2222-2-22000022-2-222222-22-2-2-2-222-2-22002-222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ362222-22-222-22-2222-2-22000022-2-222222-22-2-2-2-222-2-22002-222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ372222-2-22222-2-2-2-222220000222222-2-22-2-2-22-2-2-2-222200-222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−22−2−22−22
χ382222-2-22222-2-2-2-222220000222222-2-22-2-2-22-2-2-2-222200-222222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−22−222−22−2
χ3922-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002−2−222−2−22
χ4022-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−222−2−222−2
χ4122-2-22-2-22222-2-2-22-2-220000-2-222-2-22222-22-222-2-2-2-220022-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ4222-2-22-2-22222-2-2-22-2-220000-2-222-2-22222-22-222-2-2-2-220022-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4322-2-2-22-2222-22222-2-22-2-222-2-222-2-2-2-22-22-2-2-2-222-2-22-22-22-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ4422-2-2-22-22-12-22-1-12-2-2-122-2-2-2-2221111-1-221111-1-111-12-2-2-111-1-1112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-2-20000-1-1-1-100000000111100000000
χ4522-2-2-22-22-12-22-1-12-2-2-122-2-2-2-2221111-1-221111-1-111-12-2-2-111-1-1112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2220000111100000000-1-1-1-100000000
χ4622-2-2-22-22-12-22-1-12-2-2-1-2-222-2-2221111-1-221111-1-111-1-22-2-111-1-1112-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-100000000−i3i3−i3i300000000i3−i3i3−i300000000
χ4722-2-2-22-22-12-22-1-12-2-2-1-2-222-2-2221111-1-221111-1-111-1-22-2-111-1-1112-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-100000000i3−i3i3−i300000000−i3i3−i3i300000000
χ4822-2-2-22-2-122-2222-111222-2-211-1-1-2-2-2-2-11-1-2-211-1-111-12-21211-1-111-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-2111100002i−2i2i−2i0000−i−iii−i−iii000000000000
χ4922-2-2-22-2-122-2222-111222-2-211-1-1-2-2-2-2-11-1-2-211-1-111-12-21211-1-111-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000−2i2i−2i2i0000ii−i−iii−i−i000000000000
χ5022-2-2-22-2-122-2222-1112-2-22211-1-1-2-2-2-2-11-1-2-211-1-111-1-221211-1-111-12-1-111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000000000003−3−333−3−33000000000000
χ5122-2-2-22-2-122-2222-1112-2-22211-1-1-2-2-2-2-11-1-2-211-1-111-1-221211-1-111-12-1-111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1000000000000−333−3−333−3000000000000
χ5222-2-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-2222-2-2-22-2-2-2-2222-222-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ5322-2-2-2-222-1-22211222-122-2-2-2-2-2-211-1-1-1-2-21-11111-1-1-1-22211111-1-12-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-211111100000000−i3i3i3−i300000000i3−i3−i3i300000000
χ5422-2-2-2-222-1-22211222-122-2-2-2-2-2-211-1-1-1-2-21-11111-1-1-1-22211111-1-12-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-211111100000000i3−i3−i3i300000000−i3i3i3−i300000000
χ5522-2-2-2-222-1-22211222-1-2-222-2-2-2-211-1-1-1-2-21-11111-1-1-12-2211111-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-2-220000-1-1110000000011-1-100000000
χ5622-2-2-2-222-1-22211222-1-2-222-2-2-2-211-1-1-1-2-21-11111-1-1-12-2211111-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-222-2000011-1-100000000-1-11100000000
χ5722-2-2-2-22-12-222-2-2-1-1-1222-2-21111-2-222-111-221111-1-1-1-22-1-21111-1-1-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-21111000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ5822-2-2-2-22-12-222-2-2-1-1-1222-2-21111-2-222-111-221111-1-1-1-22-1-21111-1-1-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-21111000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ5922-2-2-2-22-12-222-2-2-1-1-12-2-2221111-2-222-111-221111-1-1-12-2-1-21111-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-100002-2-220000-1-11111-1-1000000000000
χ6022-2-2-2-22-12-222-2-2-1-1-12-2-2221111-2-222-111-221111-1-1-12-2-1-21111-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-10000-222-2000011-1-1-1-111000000000000
χ614444444-2-2444-2-2-2-2-2-24444-2-2-2-2-2-2-2-21-2-2-2-2111111144-2-2111111-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-2-2111111-2-2112222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ6344444-4-4-2-2-4-4422-222-24444-2-222-2-2221-22-2211-1-1-1-11-4-42211-1-1-1-1-2-2112222-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ6444444-4-4-2-2-4-4422-222-2-4-4-4-4-2-222-2-2221-22-2211-1-1-1-11442211-1-1-1-1-2-211-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ654444-44-44-2-44-4-2-24-4-4-2000044-4-4-2-2-2-2-2-442222-2-222-20042-2-222-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ664444-44-4-24-44-444-22240000-2-2224444-22-2-4-422-2-222-200-2-4-2-222-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-222-20000-2-222-2-2-2-212-222-1-111-1-1100-2211-1-11122-1-100003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-222-20000-2-222-2-2-2-212-222-1-111-1-1100-2211-1-11122-1-10000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ694444-4-444-24-4-422444-200004444-2-222-2-4-42-22222-2-2-200-4-2-2-2-2-222-42220000000000000000000000000000000000000000000000000000000000000000
χ704444-4-44-244-4-4-4-4-2-2-240000-2-2-2-244-4-4-222-442222-2-2-20024-2-2-2-2222-4220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.