Finite Group Databasebeta

← Group #11870722

Character table — Group #11870722

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12222233446666663466666668888121212121212121266121212122424242424242424242424242424242444444444444444442244121212121212121248888661212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-11-11
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
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11111-11-11
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-111111-11-1
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-1-111-1-11-1-11
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1-111-1-111-111-1-1-111-1
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11111-1-1
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-111
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-111-111-1-111-1-1-1-1-111-111-1
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-11-1-11-1-111-1-111-1-1-1111-1-11
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1111-1-1-1-111
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-1-111-1-1
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
χ192222222-1222-12-1-12-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000222200000202-1-1-1-10000000000-10-1
χ202222222-1222-12-1-12-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000-20-211110000000000101
χ212222222-1222-12-1-12-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-211111100000000222200000-20-2-1-1-1-10000000000101
χ222222222-1222-12-1-12-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-211111100000000-2-2-2-20000020211110000000000-10-1
χ23222222-1222-12-122-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000000020200000-1-1-1-100000-10-10
χ24222222-1222-12-122-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000-20-2000001111000001010
χ25222222-1222-12-122-1-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-211110000222200000000-20-200000-1-1-1-1000001010
χ26222222-1222-12-122-1-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-211110000-2-2-2-20000000020200000111100000-10-10
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
χ292222-2-22-1222-12-1-12-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-21111110000000022-2-200000-202-1-111000000000010-1
χ302222-2-22-1222-12-1-12-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-211111100000000-2-2220000020-211-1-10000000000-101
χ312222-2-22-1222-12-1-12-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-10000000022-2-20000020-2-1-1110000000000-101
χ322222-2-22-1222-12-1-12-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-100000000-2-22200000-20211-1-1000000000010-1
χ332222-2-2-1222-12-122-1-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-21111000022-2-20000000020-200000-1-11100000-1010
χ342222-2-2-1222-12-122-1-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-211110000-2-22200000000-2020000011-1-10000010-10
χ352222-2-2-1222-12-122-1-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-1000022-2-200000000-20200000-1-1110000010-10
χ362222-2-2-1222-12-122-1-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-10000-2-2220000000020-20000011-1-100000-1010
χ3722-2-200222-2-22-2-2-22200000-2-2200002-22-222-2-200000000000000000000002i2i−2i−2i2-2002i−2i002i−2i0000002i−2i002-200000000000
χ3822-2-200222-2-22-2-2-22200000-2-2200002-22-222-2-200000000000000000000002i2i−2i−2i-2200−2i2i002i−2i000000−2i2i00-2200000000000
χ3922-2-200222-2-22-2-2-22200000-2-2200002-22-222-2-20000000000000000000000−2i−2i2i2i2-200−2i2i00−2i2i000000−2i2i002-200000000000
χ4022-2-200222-2-22-2-2-22200000-2-2200002-22-222-2-20000000000000000000000−2i−2i2i2i-22002i−2i00−2i2i0000002i−2i00-2200000000000
χ4122-2-20022-22-22-2-2-22200000-2-220000-22-22-2-22200000000000000000000002i2i−2i−2i002-2002i−2i−2i2i000000002i−2i002-2000000000
χ4222-2-20022-22-22-2-2-22200000-2-220000-22-22-2-22200000000000000000000002i2i−2i−2i00-2200−2i2i−2i2i00000000−2i2i00-22000000000
χ4322-2-20022-22-22-2-2-22200000-2-220000-22-22-2-2220000000000000000000000−2i−2i2i2i002-200−2i2i2i−2i00000000−2i2i002-2000000000
χ4422-2-20022-22-22-2-2-22200000-2-220000-22-22-2-2220000000000000000000000−2i−2i2i2i00-22002i−2i2i−2i000000002i−2i00-22000000000
χ452-22-22-22200-2-222-2-2202-22-22-2-2i2−i2i2−i2000000002-20000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-22-200000000002-20000000000000i2−i2i2−i20000
χ462-22-22-22200-2-222-2-2202-22-22-2-2i2−i2i2−i2000000002-20000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-22-220000000000-220000000000000−i2i2−i2i20000
χ472-22-22-22200-2-222-2-2202-22-22-2-2−i2i2−i2i2000000002-20000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-22-200000000002-20000000000000−i2i2−i2i20000
χ482-22-22-22200-2-222-2-2202-22-22-2-2−i2i2−i2i2000000002-20000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-22-220000000000-220000000000000i2−i2i2−i20000
χ492-22-2-222200-2-222-2-220-22-222-2-2i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22-22-20000000000-220000000000000i2−i2−i2i20000
χ502-22-2-222200-2-222-2-220-22-222-2-2i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2-22-2200000000002-20000000000000−i2i2i2−i20000
χ512-22-2-222200-2-222-2-220-22-222-2-2−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22-22-20000000000-220000000000000−i2i2i2−i20000
χ522-22-2-222200-2-222-2-220-22-222-2-2−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2-22-2200000000002-20000000000000i2−i2−i2i20000
χ534444444-2-4-44-24-2-24-2-444-2-2-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-244-2-2-4-2-244-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000000000
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
χ594444-4-44-2-4-44-24-2-24-24-4-422-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-24-244-2-2422-4-4-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000000000
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
χ6544-4-4004-24-4-4-2-4224-20000022-20000-224-4-2-2220000000000000000000000000000004i−4i0000000000−2i2i000000000000000
χ6644-4-4004-24-4-4-2-4224-20000022-20000-224-4-2-222000000000000000000000000000000−4i4i00000000002i−2i000000000000000
χ6744-4-4004-2-44-4-2-4224-20000022-200002-2-4422-2-2000000000000000000000000000000004i−4i0000000000−2i2i0000000000000
χ6844-4-4004-2-44-4-2-4224-20000022-200002-2-4422-2-200000000000000000000000000000000−4i4i00000000002i−2i0000000000000
χ6944-4-400-244-4242-4-4-2-20000022-200004-4-22-2-222000000000000000000000000004-4000000000000000000-2200000000000
χ7044-4-400-244-4242-4-4-2-20000022-200004-4-22-2-22200000000000000000000000000-440000000000000000002-200000000000
χ7144-4-400-24-44242-4-4-2-20000022-20000-442-222-2-200000000000000000000000000004-4000000000000000000-22000000000
χ7244-4-400-24-44242-4-4-2-20000022-20000-442-222-2-20000000000000000000000000000-440000000000000000002-2000000000
χ734-44-44-44-200-424-22-4-204-4-22-2222i2−2i22i2−2i200000000-2200002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ744-44-44-44-200-424-22-4-204-4-22-222−2i22i2−2i22i200000000-220000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ754-44-44-4-24002-4-24-42-20-224-4-2222i2−2i22i2−2i200000000-220000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ764-44-44-4-24002-4-24-42-20-224-4-222−2i22i2−2i22i200000000-220000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ774-44-44-4-2-20022-2-22210-22-221-1-12i2−2i22i2−2i200003i−3i3i−3i1-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ784-44-44-4-2-20022-2-22210-22-221-1-12i2−2i22i2−2i20000−3i3i−3i3i1-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ794-44-44-4-2-20022-2-22210-22-221-1-1−2i22i2−2i22i200003i−3i3i−3i1-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ804-44-44-4-2-20022-2-22210-22-221-1-1−2i22i2−2i22i20000−3i3i−3i3i1-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ814-44-4-444-200-424-22-4-20-442-2-2222i2−2i2−2i22i2000000002-200002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ824-44-4-444-200-424-22-4-20-442-2-222−2i22i22i2−2i2000000002-20000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ834-44-4-44-24002-4-24-42-202-2-44-2222i2−2i2−2i22i2000000002-20000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ844-44-4-44-24002-4-24-42-202-2-44-222−2i22i22i2−2i2000000002-20000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ854-44-4-44-2-20022-2-222102-22-21-1-12i2−2i2−2i22i200003i−3i3i−3i-1100−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ864-44-4-44-2-20022-2-222102-22-21-1-12i2−2i2−2i22i20000−3i3i−3i3i-11003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ874-44-4-44-2-20022-2-222102-22-21-1-1−2i22i22i2−2i200003i−3i3i−3i-1100−3i3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ884-44-4-44-2-20022-2-222102-22-21-1-1−2i22i22i2−2i20000−3i3i−3i3i-11003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ894-4-440044004-4-4-44-4400000-44-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-440044004-4-4-44-4400000-44-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ9188-8-800-4-48-84-4444-4200000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-4-884-4444-4200000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40084-84-4-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800-4-84-884-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400-4444-44200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400-4444-44200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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