Finite Group Databasebeta

← Group #11790736

Character table — Group #11790736

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−i
χ101-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-1-111−i−iii
χ111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iii
χ121-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii-11-11−i−iii−i−iii-1-111-1-11111-1-1ii−i−i
χ131-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−ii−i-11-11ii−i−iii−i−i-1-111-1-11111-1-1−i−iii
χ141-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i
χ151-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i
χ161-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-22-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-22-220000
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200-2-20000-1-1-1-10000111100000000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-20022000011110000-1-1-1-100000000
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112200-2-200-1-1-1-100001111000000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200220011110000-1-1-1-1000000000000
χ27222-2-2-2-22222-22-2-2-2-2-222-222-2-2-2222-2-222-2-2200002-22-2-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ28222-2-2-2-22222-22-2-2-2-2-222-222-2-2-2222-2-222-2-2200002-22-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ29222-2-2-2-2222-22-22-2-2-2-222-222-2-2-2222-2-222-2-222i−2i2i−2i-22-2222-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ30222-2-2-2-2222-22-22-2-2-2-222-222-2-2-2222-2-222-2-22−2i2i−2i2i-22-2222-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ31222-2-2-2-222-1-22-22-2-21122-2-1-11-212-1-111-1-111-12i−2i2i−2i-221-12-111-1-1-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000003−33−30000−i3i3−i3i300000000
χ32222-2-2-2-222-1-22-22-2-21122-2-1-11-212-1-111-1-111-12i−2i2i−2i-221-12-111-1-1-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii000000000000−33−330000i3−i3i3−i300000000
χ33222-2-2-2-222-1-22-22-2-21122-2-1-11-212-1-111-1-111-1−2i2i−2i2i-221-12-111-1-1-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000003−33−30000i3−i3i3−i300000000
χ34222-2-2-2-222-1-22-22-2-21122-2-1-11-212-1-111-1-111-1−2i2i−2i2i-221-12-111-1-1-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000−33−330000−i3i3−i3i300000000
χ35222-2-2-2-22-12-22-2211-2-2-1-1122-21-2-12-111-1-111-12i−2i2i−2i1-1-22-1211-1-1-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii000000003−33−30000−i3i3−i3i3000000000000
χ36222-2-2-2-22-12-22-2211-2-2-1-1122-21-2-12-111-1-111-12i−2i2i−2i1-1-22-1211-1-1-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−33−330000i3−i3i3−i3000000000000
χ37222-2-2-2-22-12-22-2211-2-2-1-1122-21-2-12-111-1-111-1−2i2i−2i2i1-1-22-1211-1-1-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i000000003−33−30000i3−i3i3−i3000000000000
χ38222-2-2-2-22-12-22-2211-2-2-1-1122-21-2-12-111-1-111-1−2i2i−2i2i1-1-22-1211-1-1-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−33−330000−i3i3−i3i3000000000000
χ392-2-222-2-22222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-222200002-22-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-22
χ402-2-222-2-22222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-222200002-22-22222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-2
χ412-2-222-2-2222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-22222-2-22-22-22-2-2-2-222-2-2222222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ422-2-222-2-2222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-2222-222-2-22-22-2-2-2-222-2-22222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ432-2-222-2-222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-12-2-22-221-1-2111-1-1112-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000000000−i3i3i3−i30000−i3i3i3−i300000000
χ442-2-222-2-222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-12-2-22-221-1-2111-1-1112-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000000000i3−i3−i3i30000i3−i3−i3i300000000
χ452-2-222-2-222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-222-2-221-1-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000000000−i3i3i3−i30000i3−i3−i3i300000000
χ462-2-222-2-222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-222-2-221-1-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000000000i3−i3−i3i30000−i3i3i3−i300000000
χ472-2-222-2-22-12-222-211-2-211-1-2-22-12-12-11111-1-1-12-2-221-1-221-211-1-111-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-100000000−i3i3i3−i30000−i3i3i3−i3000000000000
χ482-2-222-2-22-12-222-211-2-211-1-2-22-12-12-11111-1-1-12-2-221-1-221-211-1-111-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-100000000i3−i3−i3i30000i3−i3−i3i3000000000000
χ492-2-222-2-22-12-222-211-2-211-1-2-22-12-12-11111-1-1-1-222-21-1-221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-1111100000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ502-2-222-2-22-12-222-211-2-211-1-2-22-12-12-11111-1-1-1-222-21-1-221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-1111100000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ512-2-2-2-222222-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000000000002-2-220000
χ522-2-2-2-222222-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-220000-2-2-2-222-2-2-2-222222200000000000000000000000000000000000000000000000000000000-222-20000
χ532-2-2-2-22222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii002i−2i002-20000−i−iii0000-1-11100000000
χ542-2-2-2-22222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00−2i2i00-220000ii−i−i000011-1-100000000
χ552-2-2-2-22222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i002i−2i00-220000−i−iii000011-1-100000000
χ562-2-2-2-22222-122-2-222-1-1-2-2-2111-212-1-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00−2i2i002-20000ii−i−i0000-1-11100000000
χ572-2-2-2-2222-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2i−2i002-200−i−iii0000-1-111000000000000
χ582-2-2-2-2222-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii−2i2i00-2200ii−i−i000011-1-1000000000000
χ592-2-2-2-2222-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2i−2i00-2200−i−iii000011-1-1000000000000
χ602-2-2-2-2222-1222-2-2-1-122111-2-2-21-2-12-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i2i002-200ii−i−i0000-1-111000000000000
χ61444444444-2-4-4-4-444-2-2444-2-2-24-24-2-2-2-2-2-2-2-2-20000-4-422-42222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-244-2-2-2444-24-24-2-2-2-2-2-2-2-2000022-4-42-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ67444-4-4-4-444-24-44-4-4-42244-4-2-22-424-2-222-2-222-200004-4-22-42-2-222224-2-2-20000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.