Finite Group Databasebeta

← Group #11869659

Character table — Group #11869659

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122222334466666634666666688881212121212121212661212121224242424242424242424242424242424444444444444224424441212121212121212288886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-11-11
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111111-11-1
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-1-111-1-111-1-1
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1-111-1-111-111-1-1-1-111
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-11-111-1-1-1-1111-1-1111-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-11111-1-11-1-111-111-1
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-111-111-1-111-1-1-1-1-111-1-111
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-11-1-11-1-111-1-111-1-1-11111-1-1
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11-1111-1-1-1-111111-1-1-111-1
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-11-1-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000222200000000-2-222000000000000-200000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ192222222-1222-1-122-1-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-10-10
χ202222222-1222-1-122-1-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001010
χ212222222-1222-1-122-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-21111110000222200000000-2-200-1-1-1-10000000001010
χ222222222-1222-1-122-1-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-21111110000-2-2-2-20000000022001111000000000-10-10
χ23222222-1222-122-1-12-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000000220000-1-1-1-1000000-10-1
χ24222222-1222-122-1-12-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000-2-200001111000000101
χ25222222-1222-122-1-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-21111000000002222000000-2-20000-1-1-1-1000000101
χ26222222-1222-122-1-12-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-2111100000000-2-2-2-20000002200001111000000-10-1
χ272222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000222200000000-2-2-2-2000000000000200000000
χ282222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2000000002222000000000000-200000000
χ292222-2-22-1222-1-122-1-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-2111111000022-2-2000000002-200-1-111000000000-1010
χ302222-2-22-1222-1-122-1-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-21111110000-2-22200000000-220011-1-100000000010-10
χ312222-2-22-1222-1-122-1-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-1000022-2-200000000-2200-1-11100000000010-10
χ322222-2-22-1222-1-122-1-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-10000-2-222000000002-20011-1-1000000000-1010
χ332222-2-2-1222-122-1-12-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-211110000000022-2-2000000-220000-1-111000000-101
χ342222-2-2-1222-122-1-12-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-2111100000000-2-2220000002-2000011-1-100000010-1
χ352222-2-2-1222-122-1-12-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-10000000022-2-20000002-20000-1-11100000010-1
χ362222-2-2-1222-122-1-12-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-100000000-2-222000000-22000011-1-1000000-101
χ3722-2-22-222002-2-2-2-22202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−22i2i−2i−2i00000000002i−2i0000000000000i2−i2i2−i20000
χ3822-2-22-222002-2-2-2-22202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−2−2i−2i2i2i0000000000−2i2i0000000000000−i2i2−i2i20000
χ3922-2-22-222002-2-2-2-22202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−2222i2i−2i−2i00000000002i−2i0000000000000−i2i2−i2i20000
χ4022-2-22-222002-2-2-2-22202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−222−2i−2i2i2i0000000000−2i2i0000000000000i2−i2i2−i20000
χ4122-2-2-2222002-2-2-2-2220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−2222i2i−2i−2i0000000000−2i2i0000000000000i2−i2−i2i20000
χ4222-2-2-2222002-2-2-2-2220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−222−2i−2i2i2i00000000002i−2i0000000000000−i2i2i2−i20000
χ4322-2-2-2222002-2-2-2-2220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−22i2i−2i−2i0000000000−2i2i0000000000000−i2i2i2−i20000
χ4422-2-2-2222002-2-2-2-2220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−2−2i−2i2i2i00000000002i−2i0000000000000i2−i2−i2i20000
χ452-2-2200222-2-2-222-2-2200000-2-2200002-22-222-2-200000000000000000000002-22-2002i−2i002i−2i2-2000000002i−2i002i−2i000000000
χ462-2-2200222-2-2-222-2-2200000-2-2200002-22-222-2-200000000000000000000002-22-200−2i2i00−2i2i2-200000000−2i2i00−2i2i000000000
χ472-2-2200222-2-2-222-2-2200000-2-2200002-22-222-2-20000000000000000000000-22-22002i−2i00−2i2i-22000000002i−2i00−2i2i000000000
χ482-2-2200222-2-2-222-2-2200000-2-2200002-22-222-2-20000000000000000000000-22-2200−2i2i002i−2i-2200000000−2i2i002i−2i000000000
χ492-2-220022-22-2-222-2-2200000-2-220000-22-22-2-22200000000000000000000002-22-22i−2i002i−2i00-220000002i−2i002i−2i00000000000
χ502-2-220022-22-2-222-2-2200000-2-220000-22-22-2-22200000000000000000000002-22-2−2i2i00−2i2i00-22000000−2i2i00−2i2i00000000000
χ512-2-220022-22-2-222-2-2200000-2-220000-22-22-2-2220000000000000000000000-22-222i−2i00−2i2i002-20000002i−2i00−2i2i00000000000
χ522-2-220022-22-2-222-2-2200000-2-220000-22-22-2-2220000000000000000000000-22-22−2i2i002i−2i002-2000000−2i2i002i−2i00000000000
χ534444444-2-4-44-2-244-2-2-444-2-2-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-244-2-24-2-4-2-244-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-21114444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-2-2-2-2111-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ594444-4-44-2-4-44-2-244-2-24-4-422-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-244-2-24-2422-4-4-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-4222211144-4-4-2-2-2-21111-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-42222111-4-444-2-2-2-21111-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ6544-4-44-44-200422-4-4-2-204-4-22-22222−2222−2200000000-22000022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000000
χ6644-4-44-44-200422-4-4-2-204-4-22-222−2222−222200000000-220000−22222−222−2−2−22222−222−2−20000000000000000000000000000000000000
χ6744-4-44-4-2400-2-4-4224-20-224-4-22222−2222−2200000000-220000−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000000
χ6844-4-44-4-2400-2-4-4224-20-224-4-222−2222−222200000000-2200002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000000
χ6944-4-44-4-2-200-22222-210-22-221-1-122−2222−2200003i−3i3i−3i1-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ7044-4-44-4-2-200-22222-210-22-221-1-122−2222−220000−3i3i−3i3i1-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ7144-4-44-4-2-200-22222-210-22-221-1-1−2222−222200003i−3i3i−3i1-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ7244-4-44-4-2-200-22222-210-22-221-1-1−2222−22220000−3i3i−3i3i1-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ7344-4-4-444-200422-4-4-2-20-442-2-22222−22−2222000000002-2000022−22−22−2−222−22222−222−2−20000000000000000000000000000000000000
χ7444-4-4-444-200422-4-4-2-20-442-2-222−222222−22000000002-20000−22222−222−2−222−22−22−2−2220000000000000000000000000000000000000
χ7544-4-4-44-2400-2-4-4224-202-2-44-22222−22−2222000000002-20000−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000000
χ7644-4-4-44-2400-2-4-4224-202-2-44-222−222222−22000000002-200002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000000
χ7744-4-4-44-2-200-22222-2102-22-21-1-122−22−222200003i−3i3i−3i-1100−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ7844-4-4-44-2-200-22222-2102-22-21-1-122−22−22220000−3i3i−3i3i-11003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ7944-4-4-44-2-200-22222-2102-22-21-1-1−222222−2200003i−3i3i−3i-1100−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ8044-4-4-44-2-200-22222-2102-22-21-1-1−222222−220000−3i3i−3i3i-11003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ814-44-4004400-44-4-44-4400000-44-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-4004400-44-4-44-4400000-44-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-44004-24-4-42-24-42-20000022-20000-224-4-2-22200000000000000000000000000004i−4i00000000000000−2i2i0000000000000
χ844-4-44004-24-4-42-24-42-20000022-20000-224-4-2-2220000000000000000000000000000−4i4i000000000000002i−2i0000000000000
χ854-4-44004-2-44-42-24-42-20000022-200002-2-4422-2-2000000000000000000000000004i−4i00000000000000−2i2i000000000000000
χ864-4-44004-2-44-42-24-42-20000022-200002-2-4422-2-200000000000000000000000000−4i4i000000000000002i−2i000000000000000
χ874-4-4400-244-42-44-22-4-20000022-200004-4-22-2-222000000000000000000000000000000004i−4i00000000000000−2i2i000000000
χ884-4-4400-244-42-44-22-4-20000022-200004-4-22-2-22200000000000000000000000000000000−4i4i000000000000002i−2i000000000
χ894-4-4400-24-442-44-22-4-20000022-20000-442-222-2-20000000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ904-4-4400-24-442-44-22-4-20000022-20000-442-222-2-2000000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ918-88-8008-400-8-44-884-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-480048-84-4-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-4004-444-44200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ948-88-800-4-4004-444-44200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-48-844-4-444200000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4-8844-4-444200000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.