Finite Group Databasebeta

← Group #11794309

Character table — Group #11794309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222222233666666666636666666666666666644666612121212121212121212121212121212444412121212121212124444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1111111-1-1
χ922222222222-1222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000-1-1-1-1-1-1-1-10000
χ1022222222222-1222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2000000111111110000
χ1122222222222-1222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000002-22-2000000-1-1-1-111110000
χ1222222222222-1222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2111111111111000000000000-22-220000001111-1-1-1-10000
χ132222222222-12-1-1-12-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-1-1-1000000000000
χ142222222222-12-1-1-12-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-21111000000000000
χ152222222222-12-1-1-12-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-21111000000000000
χ162222222222-12-1-1-12-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-211111111000022-1-1-1-1000000000000
χ1722222-2-22-2-22222222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222-2-22-2-22222222222222-2-2-2-222-2-2-2-22222222-22-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000
χ1922222-2-22-2-22-1222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-111110000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ2022222-2-22-2-22-1222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-111110000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ2122222-2-22-2-22-1222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-10000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ2222222-2-22-2-22-1222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-10000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ2322222-2-22-2-2-12-1-1-12-1-1-1-122-1111122-2-2-2-2-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ2422222-2-22-2-2-12-1-1-12-1-1-1-122-1111122-2-2-2-2-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ2522222-2-22-2-2-12-1-1-12-1-1-1-122-1111122-2-2-2-2-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ2622222-2-22-2-2-12-1-1-12-1-1-1-122-1111122-2-2-2-2-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ272222-22-2-22-2222-2-222-2-2222222-2-2-2-222-2-22-2-2-2-2220022-2-20000000000000000000000000000020-200000000002-22-20000
χ282222-22-2-22-2222-2-222-2-2222222-2-2-2-222-2-22-2-2-2-2220022-2-200000000000000000000000000000-2020000000000-22-220000
χ292222-22-2-22-22-12-2-2-12-2-22-1-1-122-2-211-1-111-11111-1-100-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000020-2000000−i3i3−i3i3-11-110000
χ302222-22-2-22-22-12-2-2-12-2-22-1-1-122-2-211-1-111-11111-1-100-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000000000-202000000i3−i3i3−i31-11-10000
χ312222-22-2-22-22-12-2-2-12-2-22-1-1-122-2-211-1-111-11111-1-100-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000020-2000000i3−i3i3−i3-11-110000
χ322222-22-2-22-22-12-2-2-12-2-22-1-1-122-2-211-1-111-11111-1-100-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000000000000-202000000−i3i3−i3i31-11-10000
χ332222-2-22-2-22222-2-222-2-22222-2-222-2-2-2-2222-2-2-2-22200-2-222000000000000000000000000000020-200000002-2-2200000000
χ342222-2-22-2-22222-2-222-2-22222-2-222-2-2-2-2222-2-2-2-22200-2-2220000000000000000000000000000-2020000000-222-200000000
χ352222-2-22-2-222-12-2-2-12-2-22-1-1-1-2-2221111-1-1-11111-1-10011-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i300000000000020-20000000-111-1−i3i3i3−i30000
χ362222-2-22-2-222-12-2-2-12-2-22-1-1-1-2-2221111-1-1-11111-1-10011-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3000000000000-20200000001-1-11i3−i3−i3i30000
χ372222-2-22-2-222-12-2-2-12-2-22-1-1-1-2-2221111-1-1-11111-1-10011-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i300000000000020-20000000-111-1i3−i3−i3i30000
χ382222-2-22-2-222-12-2-2-12-2-22-1-1-1-2-2221111-1-1-11111-1-10011-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3000000000000-20200000001-1-11−i3i3i3−i30000
χ3922-2-222-2-2-22222222-2-2-2-2-2-222-22-22-22-22-2222-2-2-2-2002-22-200000000000000000000000000000000000000000000002-200
χ4022-2-222-2-2-22222222-2-2-2-2-2-222-22-22-22-22-2222-2-2-2-2002-22-20000000000000000000000000000000000000000000000-2200
χ4122-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-22-22222-2-2-2-200-22-220000000000000000000000000000000000000000000000002-2
χ4222-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-22-22222-2-2-2-200-22-22000000000000000000000000000000000000000000000000-22
χ4322-2-2-2222-2-2222-2-22-222-2-2-222-2-22-222-2-222-2-222-2-2002-2-22000000000000000000000000000000002-22-22-2000000000000
χ4422-2-2-2222-2-2222-2-22-222-2-2-222-2-22-222-2-222-2-222-2-2002-2-2200000000000000000000000000000000-22-22-22000000000000
χ4522-2-2-2222-2-2-12-11121-1-11-2-2-1-111-1-222-2-22-111-1-11100-111-13−33−300003−33−33−33−3000033−3−333−3−300002-2-11-11000000000000
χ4622-2-2-2222-2-2-12-11121-1-11-2-2-1-111-1-222-2-22-111-1-11100-111-13−33−300003−33−33−33−30000−3−333−3−3330000-221-11-1000000000000
χ4722-2-2-2222-2-2-12-11121-1-11-2-2-1-111-1-222-2-22-111-1-11100-111-1−33−330000−33−33−33−33000033−3−333−3−30000-221-11-1000000000000
χ4822-2-2-2222-2-2-12-11121-1-11-2-2-1-111-1-222-2-22-111-1-11100-111-1−33−330000−33−33−33−330000−3−333−3−33300002-2-11-11000000000000
χ4922-2-2-2-2-2222222-2-22-222-2-2-22-222-2-22-222-22-2-222-2-200-222-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-2-2222222-2-22-222-2-2-22-222-2-22-222-22-2-222-2-200-222-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-2-2222-12-11121-1-11-2-2-11-1-11-22-222-2-111-1-111001-1-113−3−3300003−33−3−33−332i2i−2i−2i−i−iiiii−i−i000000−i3i3i3−i3000000000000
χ5222-2-2-2-2-2222-12-11121-1-11-2-2-11-1-11-22-222-2-111-1-111001-1-113−3−3300003−33−3−33−33−2i−2i2i2iii−i−i−i−iii000000i3−i3−i3i3000000000000
χ5322-2-2-2-2-2222-12-11121-1-11-2-2-11-1-11-22-222-2-111-1-111001-1-11−333−30000−33−333−33−32i2i−2i−2i−i−iiiii−i−i000000i3−i3−i3i3000000000000
χ5422-2-2-2-2-2222-12-11121-1-11-2-2-11-1-11-22-222-2-111-1-111001-1-11−333−30000−33−333−33−3−2i−2i2i2iii−i−i−i−iii000000−i3i3i3−i3000000000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-2222211111114-4-1-1-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-222221111111-44-1-1-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000000000
χ594444-44-4-44-4-24-2224-222-244-2-2-222-4-444-4-4-22222-2-200-2-22200000000000000000000000000000000000000000000000000
χ604444-44-4-44-4-2-2-222-2-222-2-2-21-2-22222-2-2221-1-1-1-1110011-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ614444-44-4-44-4-2-2-222-2-222-2-2-21-2-22222-2-2221-1-1-1-1110011-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ624444-4-44-4-44-24-2224-222-244-222-2-2-4-4-4-444-22222-2-20022-2-200000000000000000000000000000000000000000000000000
χ634444-4-44-4-44-2-2-222-2-222-2-2-2122-2-22222-2-21-1-1-1-11100-1-1110000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ644444-4-44-4-44-2-2-222-2-222-2-2-2122-2-22222-2-21-1-1-1-11100-1-11100002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6544-4-444-4-4-444-2444-2-4-4-4-422-24-44-4-22-22-22-2-2-2222200-22-2200000000000000000000000000000000000000000000000000
χ6644-4-444-4-4-44-24-2-2-242222-4-4-2-22-224-44-44-4-2-2-2222200-22-2200000000000000000000000000000000000000000000000000
χ6744-4-444-4-4-44-2-2-2-2-2-22222221-22-22-22-22-22111-1-1-1-1001-11-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ6844-4-444-4-4-44-2-2-2-2-2-22222221-22-22-22-22-22111-1-1-1-1001-11-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ6944-4-44-44-44-44-2444-2-4-4-4-422-2-44-44-222-22-2-2-2-22222002-22-200000000000000000000000000000000000000000000000000
χ7044-4-44-44-44-4-24-2-2-242222-4-4-22-22-24-4-44-44-2-2-22222002-22-200000000000000000000000000000000000000000000000000
χ7144-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-22-2111-1-1-1-100-11-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7244-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-22-2111-1-1-1-100-11-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7344-4-4-4444-4-44-24-4-4-2-444-422-24-4-442-2-222-2-222-2-22200-222-200000000000000000000000000000000000000000000000000
χ7444-4-4-4444-4-4-2-2-222-22-2-22221-222-22-2-222-21-1-111-1-1001-1-1123−2323−230000−33−33−33−330000000000000000000000000000000000
χ7544-4-4-4444-4-4-2-2-222-22-2-22221-222-22-2-222-21-1-111-1-1001-1-11−2323−232300003−33−33−33−30000000000000000000000000000000000
χ7644-4-4-4-4-44444-24-4-4-2-444-422-2-444-42-22-2-22-222-2-222002-2-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-2-2-222-22-2-222212-2-222-22-2-221-1-111-1-100-111-123−23−23230000−33−333−33−30000000000000000000000000000000000
χ7844-4-4-4-4-4444-2-2-222-22-2-222212-2-222-22-2-221-1-111-1-100-111-1−232323−2300003−33−3−33−330000000000000000000000000000000000
χ794-44-400000044-400-4400-44-440000000000-400004-400000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400000044-400-4400-44-440000000000-400004-40000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-4000000-242−2i32i3-4-2−2i32i324-4-200000000002−2i32i3−2i32i3-2200000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ824-44-4000000-242−2i32i3-4-2−2i32i324-4-200000000002−2i32i3−2i32i3-220000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ834-44-4000000-2422i3−2i3-4-22i3−2i324-4-2000000000022i3−2i32i3−2i3-2200000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ844-44-4000000-2422i3−2i3-4-22i3−2i324-4-2000000000022i3−2i32i3−2i3-220000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ854-4-4400000044-400-4-4004-4440000000000-40000-4400000000000000000000002-2-222-2-22-222-20000000000000000000000
χ864-4-4400000044-400-4-4004-4440000000000-40000-440000000000000000000000-222-2-222-22-2-220000000000000000000000
χ874-4-44000000-242−2i32i3-422i3−2i3-2-44-200000000002−2i32i32i3−2i32-200000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ884-4-44000000-242−2i32i3-422i3−2i3-2-44-200000000002−2i32i32i3−2i32-20000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ894-4-44000000-2422i3−2i3-42−2i32i3-2-44-2000000000022i3−2i3−2i32i32-200000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ904-4-44000000-2422i3−2i3-42−2i32i3-2-44-2000000000022i3−2i3−2i32i32-20000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ918-88-80000008-4-8004800-8-44-4000000000040000-4400000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-44−4i34i34-4−4i34i34-4420000000000-22i3−2i32i3−2i32-200000000000000000000000000000000000000000000000000000000
χ938-88-8000000-4-444i3−4i34-44i3−4i34-4420000000000-2−2i32i3−2i32i32-200000000000000000000000000000000000000000000000000000000
χ948-8-880000008-4-8004-80084-4-40000000000400004-400000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44−4i34i3444i3−4i3-44-420000000000-22i3−2i3−2i32i3-2200000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-444i3−4i344−4i34i3-44-420000000000-2−2i32i32i3−2i3-2200000000000000000000000000000000000000000000000000000000

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