Finite Group Databasebeta

← Group #11792252

Character table — Group #11792252

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212344446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222244466666688121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111111111-1-111
χ922222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000002-20000000000022-2-200000000
χ1022222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2200000000000-2-22200000000
χ112222222-1222222-1-1-1-1-1-12-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122022000-1-1-1-10000-1-1-1-100000000
χ122222222-1222222-1-1-1-1-1-12-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200011110000111100000000
χ132222222-1222222-1-1-1-1-1-12-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111220-2-2000-1-1-1-10000111100000000
χ142222222-1222222-1-1-1-1-1-12-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-202200011110000-1-1-1-100000000
χ152222222-1-2-2-2-222-1-1-1-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111−i3−i3−i3−i3i3i3i3i3-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30002-2000−i3−i3i3i30000-1-11100000000
χ162222222-1-2-2-2-222-1-1-1-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111−i3−i3−i3−i3i3i3i3i3-2-21111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000-22000i3i3−i3−i3000011-1-100000000
χ172222222-1-2-2-2-222-1-1-1-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111i3i3i3i3−i3−i3−i3−i3-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30002-2000i3i3−i3−i30000-1-11100000000
χ182222222-1-2-2-2-222-1-1-1-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111i3i3i3i3−i3−i3−i3−i3-2-21111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000-22000−i3−i3i3i3000011-1-100000000
χ19222222-122222-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002002-1-1000022-1-10000-1-1-1-10000
χ20222222-122222-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-200-2110000-2-211000011110000
χ21222222-122222-1-1222222-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111111111111002002-1-10000-2-2-1-1000011110000
χ22222222-122222-1-1222222-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111111111111100-200-211000022110000-1-1-1-10000
χ232222-2-2222-22-2222-2-22-2-222222220000-222-2-2-22-2-222-2-200000000-2-22222-2-2-2-20000000000000000000000000000000000000000000000002-200
χ242222-2-2222-22-2222-2-22-2-222222220000-222-2-2-22-2-222-2-200000000-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-2200
χ252222-2-222-22-22222-2-22-2-222-2-2-2-220000-222-2-2-22-2-2-2-2220000000022-2-2-2-2222200000000000000000000000000200-222000000-2-2000000000000
χ262222-2-222-22-22222-2-22-2-222-2-2-2-220000-222-2-2-22-2-2-2-2220000000022-2-2-2-2222200000000000000000000000000-2002-2-200000022000000000000
χ272222-2-2-12-22-22-1-12-2-22-2-2-121111-100001-1-1111-111-2-22200000000-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−300200-2-1-100000011000033−3−30000
χ282222-2-2-12-22-22-1-12-2-22-2-2-121111-100001-1-1111-111-2-22200000000-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−300-200211000000-1-10000−3−3330000
χ292222-2-2-12-22-22-1-12-2-22-2-2-121111-100001-1-1111-111-2-22200000000-1-11111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−3333300200-2-1-1000000110000−3−3330000
χ302222-2-2-12-22-22-1-12-2-22-2-2-121111-100001-1-1111-111-2-22200000000-1-11111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−3333300-200211000000-1-1000033−3−30000
χ312-2-222-22222-2-2-2-2-2222-2-22-222-2-222i2i−2i−2i2-2-222-22-2-22-22-22i2i−2i−2i2i2i−2i−2i2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ322-2-222-22222-2-2-2-2-2222-2-22-222-2-22−2i−2i2i2i2-2-222-22-2-22-22-2−2i−2i2i2i−2i−2i2i2i2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ332-2-222-222-2-222-2-2-2222-2-22-2-2-222200002-2-222-22-2-2-22-2200000000-22-2-222-2-2220000000000000000000000002-20000002-22-20000000000000000
χ342-2-222-222-2-222-2-2-2222-2-22-2-2-222200002-2-222-22-2-2-22-2200000000-22-2-222-2-222000000000000000000000000-22000000-22-220000000000000000
χ352-2-222-22-122-2-2-2-21-1-1-1112122-2-2-12i2i−2i−2i211-1-1-2-111-11-11−i−iii−i−iii2-2-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii00000000−i3i3i3−i300003−33−300000000
χ362-2-222-22-122-2-2-2-21-1-1-1112122-2-2-12i2i−2i−2i211-1-1-2-111-11-11−i−iii−i−iii2-2-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii00000000i3−i3−i3i30000−33−3300000000
χ372-2-222-22-122-2-2-2-21-1-1-1112122-2-2-1−2i−2i2i2i211-1-1-2-111-11-11ii−i−iii−i−i2-2-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i00000000−i3i3i3−i30000−33−3300000000
χ382-2-222-22-122-2-2-2-21-1-1-1112122-2-2-1−2i−2i2i2i211-1-1-2-111-11-11ii−i−iii−i−i2-2-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i00000000i3−i3−i3i300003−33−300000000
χ392-2-222-22-1-2-222-2-21-1-1-11121-2-222-10000211-1-1-2-1111-11-133−3−3−3−333-2211-1-111-1-10000000033−3−333−3−3−3−333−3−3332-2000000-11-1100003−3−3300000000
χ402-2-222-22-1-2-222-2-21-1-1-11121-2-222-10000211-1-1-2-1111-11-133−3−3−3−333-2211-1-111-1-10000000033−3−333−3−3−3−333−3−333-220000001-11-10000−333−300000000
χ412-2-222-22-1-2-222-2-21-1-1-11121-2-222-10000211-1-1-2-1111-11-1−3−33333−3−3-2211-1-111-1-100000000−3−333−3−33333−3−333−3−32-2000000-11-110000−333−300000000
χ422-2-222-22-1-2-222-2-21-1-1-11121-2-222-10000211-1-1-2-1111-11-1−3−33333−3−3-2211-1-111-1-100000000−3−333−3−33333−3−333−3−3-220000001-11-100003−3−3300000000
χ432-2-222-2-1222-2-211-2222-2-2-1-2-1-111-12i2i−2i−2i-111-1-11-1112-22-22i2i−2i−2i2i2i−2i−2i-11-1-111-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000−i3i3000000−i3i300003−33−30000
χ442-2-222-2-1222-2-211-2222-2-2-1-2-1-111-12i2i−2i−2i-111-1-11-1112-22-22i2i−2i−2i2i2i−2i−2i-11-1-111-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000i3−i3000000i3−i30000−33−330000
χ452-2-222-2-1222-2-211-2222-2-2-1-2-1-111-1−2i−2i2i2i-111-1-11-1112-22-2−2i−2i2i2i−2i−2i2i2i-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000−i3i3000000−i3i30000−33−330000
χ462-2-222-2-1222-2-211-2222-2-2-1-2-1-111-1−2i−2i2i2i-111-1-11-1112-22-2−2i−2i2i2i−2i−2i2i2i-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000i3−i3000000i3−i300003−33−30000
χ472-2-22-22222-2-22-2-2-2-2-22222-222-2-220000-2-2-2-2-222222-2-2200000000-2222-2-2-2-222000000000000000000000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-2-2-22222-222-2-220000-2-2-2-2-222222-2-2200000000-2222-2-2-2-22200000000000000000000000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-2-2-22222-2-2-22220000-2-2-2-2-22222-222-2000000002-2-2-22222-2-20000000000000000000000000000000000002-20000002-2-220000
χ502-2-22-2222-222-2-2-2-2-2-22222-2-2-22220000-2-2-2-2-22222-222-2000000002-2-2-22222-2-2000000000000000000000000000000000000-22000000-222-20000
χ512-2-22-22-12-222-211-2-2-2222-1-211-1-1-1000011111-1-1-1-1-222-200000000-1111-1-1-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000−i3i300002-2i3−i30000-111-10000
χ522-2-22-22-12-222-211-2-2-2222-1-211-1-1-1000011111-1-1-1-1-222-200000000-1111-1-1-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000i3−i30000-22−i3i300001-1-110000
χ532-2-22-22-12-222-211-2-2-2222-1-211-1-1-1000011111-1-1-1-1-222-200000000-1111-1-1-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000−i3i30000-22i3−i300001-1-110000
χ542-2-22-22-12-222-211-2-2-2222-1-211-1-1-1000011111-1-1-1-1-222-200000000-1111-1-1-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000i3−i300002-2−i3i30000-111-10000
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χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-222222222-2-21111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222−2i3−2i3−2i3−2i32i32i32i32i322-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-211122222i32i32i32i3−2i3−2i3−2i3−2i322-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000000000000000
χ604444-4-44-24-44-444-222-2224-24444-20000-4-2-222-4-222-2-22200000000-4-4-2-2-2-222220000000000000000000000000000000000000000000000000000
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χ624444-4-4-244-44-4-2-24-4-44-4-4-24-2-2-2-2-200002-2-2222-22244-4-40000000022-2-2-2-222220000000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-222-222-2-2-2-2-2-210000211-1-121-1-1-2-22200000000221111-1-1-1-1000000003i3i3i3i−3i−3i−3i−3i−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-222-222-2-2-2-2-2-210000211-1-121-1-1-2-22200000000221111-1-1-1-100000000−3i−3i−3i−3i3i3i3i3i3i3i3i3i−3i−3i−3i−3i0000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-222-222-2-2222210000211-1-121-1-122-2-200000000-2-2-1-1-1-1111123232323−23−23−23−23−3−3−3−33333−3−3−3−333330000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-222-222-2-2222210000211-1-121-1-122-2-200000000-2-2-1-1-1-11111−23−23−23−23232323233333−3−3−3−33333−3−3−3−30000000000000000000000000000
χ6744-4-4004400004-4400-400-4-4000042i−2i2i−2i04-4000-40000002i−2i2i−2i2i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ6844-4-4004400004-4400-400-4-400004−2i2i−2i2i04-4000-4000000−2i2i−2i2i−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ6944-4-4004-200004-4-2−2i32i32−2i32i3-420000-22i−2i2i−2i0-22−2i32i302−2i32i300002ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ1100000000002i−2i2i−2i2i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ110000000000000000000000000000
χ7044-4-4004-200004-4-2−2i32i32−2i32i3-420000-2−2i2i−2i2i0-22−2i32i302−2i32i30000−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000−2i2i−2i2i−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ110000000000000000000000000000
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χ1054-4-444-4-2-244-4-4222-2-2-222-22-2-2221−4i−4i4i4i-2-1-11121-1-1-22-222i2i−2i−2i2i2i−2i−2i-2211-1-111-1-12i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000
χ1064-4-444-4-2-2-4-444222-2-2-222-2222-2-210000-2-1-11121-1-12-22-22323−23−23−23−2323232-2-1-111-1-11100000000−3−333−3−33333−3−333−3−30000000000000000000000000000
χ1074-4-444-4-2-2-4-444222-2-2-222-2222-2-210000-2-1-11121-1-12-22-2−23−2323232323−23−232-2-1-111-1-1110000000033−3−333−3−3−3−333−3−3330000000000000000000000000000
χ1084-4-44-444-24-4-44-4-4222-2-2-24244-4-4-20000-422224-2-2-2-222-200000000-44-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1094-4-44-444-2-444-4-4-4222-2-2-242-4-444-20000-422224-2-2-22-2-22000000004-422-2-2-2-2220000000000000000000000000000000000000000000000000000
χ1104-4-44-44-244-4-4422-4-4-4444-2-4-2-222-2000022222-2-2-2-24-4-44000000002-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1114-4-44-44-2-24-4-4422222-2-2-2-22-2-222100002-1-1-1-1-2111-222-2000000002-211-1-1-1-1110000000033-3-3-3-333-3-33333-3-30000000000000000000000000000
χ1124-4-44-44-2-24-4-4422222-2-2-2-22-2-222100002-1-1-1-1-2111-222-2000000002-211-1-1-1-11100000000-3-33333-3-333-3-3-3-3330000000000000000000000000000
χ1134-4-44-44-2-2-444-422222-2-2-2-2222-2-2100002-1-1-1-1-21112-2-2200000000-22-1-11111-1-1−2i3−2i32i32i32i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ1144-4-44-44-2-2-444-422222-2-2-2-2222-2-2100002-1-1-1-1-21112-2-2200000000-22-1-11111-1-12i32i3−2i3−2i3−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.