Finite Group Databasebeta

← Group #11794307

Character table — Group #11794307

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222222233666666666636666666666666666644666612121212121212121212121212121212444412121212121212124444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1
χ922222222222-1222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ1022222222222-1222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ1122222222222-1222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-21111-2-2111111110000000000000022-2-20000-1-1-1-111110000
χ1222222222222-1222-12-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-21111-2-21111111100000000000000-2-22200001111-1-1-1-10000
χ132222222222-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ142222222222-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ152222222222-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-2-2-1-1-1-111-2-2-2-211111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ162222222222-12-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-2-2-1-1-1-111-2-2-2-21111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ1722222-2-22-2-22222222222222-2-2-2-222-2-22222222-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222-2-22-2-22222222222222-2-2-2-222-2-22222222-2-2-22-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000
χ1922222-2-22-2-22-1222-12-1-1222-1-2-2-2-2-1-111-1-1-1-1-1-1-1112-2111122-1-111-2-2-1-1-1-11111000000000000000000000033−3−333−3−30000
χ2022222-2-22-2-22-1222-12-1-1222-1-2-2-2-2-1-111-1-1-1-1-1-1-1112-2111122-1-111-2-2-1-1-1-111110000000000000000000000−3−333−3−3330000
χ2122222-2-22-2-22-1222-12-1-1222-1-2-2-2-2-1-111-1-1-1-1-1-1-111-221111-2-211-1-1221111-1-1-1-1000000000000000000000033−3−3−3−3330000
χ2222222-2-22-2-22-1222-12-1-1222-1-2-2-2-2-1-111-1-1-1-1-1-1-111-221111-2-211-1-1221111-1-1-1-10000000000000000000000−3−33333−3−30000
χ2322222-2-22-2-2-12-1-1-12-122-1-1-1-1111122-2-2-1-1-1-1-1-1-1-2-22-21111-1-122-2-211-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ2422222-2-22-2-2-12-1-1-12-122-1-1-1-1111122-2-2-1-1-1-1-1-1-1-2-22-21111-1-122-2-211-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ2522222-2-22-2-2-12-1-1-12-122-1-1-1-1111122-2-2-1-1-1-1-1-1-1-2-2-22111111-2-222-1-11111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ2622222-2-22-2-2-12-1-1-12-122-1-1-1-1111122-2-2-1-1-1-1-1-1-1-2-2-22111111-2-222-1-11111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ272222-22-2-22-2222-2-22222-2-22222-2-2-2-22-22-2-2-2-2222-20022-2-2000000000000000000000000000000000000000000000020-20
χ282222-22-2-22-2222-2-22222-2-22222-2-2-2-22-22-2-2-2-2222-20022-2-20000000000000000000000000000000000000000000000-2020
χ292222-2-22-2-22222-2-22222-2-222-2-222-2-2-222-2-2-2-222-2200-2-2220000000000000000000000000000000000000000000000020-2
χ302222-2-22-2-22222-2-22222-2-222-2-222-2-2-222-2-2-2-222-2200-2-22200000000000000000000000000000000000000000000000-202
χ3122-2-222-2-2-22222222-2-2-2-2-2-222-22-22-22-2222-2-2-2-2-22002-22-2000000000000000000000000000000002-2000000002-22-20000
χ3222-2-222-2-2-22222222-2-2-2-2-2-222-22-22-22-2222-2-2-2-2-22002-22-200000000000000000000000000000000-2200000000-22-220000
χ3322-2-222-2-2-222-1222-1-211-2-2-2-12-22-2-11-11-1-1-111111-100-11-11003−33−30033−3−333−3−300000000000000002-200003−33−3-11-110000
χ3422-2-222-2-2-222-1222-1-211-2-2-2-12-22-2-11-11-1-1-111111-100-11-11003−33−30033−3−333−3−30000000000000000-220000−33−331-11-10000
χ3522-2-222-2-2-222-1222-1-211-2-2-2-12-22-2-11-11-1-1-111111-100-11-1100−33−3300−3−333−3−33300000000000000002-20000−33−33-11-110000
χ3622-2-222-2-2-222-1222-1-211-2-2-2-12-22-2-11-11-1-1-111111-100-11-1100−33−3300−3−333−3−3330000000000000000-2200003−33−31-11-10000
χ3722-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-22222-2-2-2-22-200-22-220000000000000000000000000000002-20000002-2-2200000000
χ3822-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-22222-2-2-2-22-200-22-22000000000000000000000000000000-22000000-222-200000000
χ3922-2-22-22-22-22-1222-1-211-2-2-2-1-22-22-111-1-1-1-11111-11001-11-1003−3−330033−3−3−3−333000000000000002-2000000-111-1−333−30000
χ4022-2-22-22-22-22-1222-1-211-2-2-2-1-22-22-111-1-1-1-11111-11001-11-1003−3−330033−3−3−3−33300000000000000-220000001-1-113−3−330000
χ4122-2-22-22-22-22-1222-1-211-2-2-2-1-22-22-111-1-1-1-11111-11001-11-100−333−300−3−33333−3−3000000000000002-2000000-111-13−3−330000
χ4222-2-22-22-22-22-1222-1-211-2-2-2-1-22-22-111-1-1-1-11111-11001-11-100−333−300−3−33333−3−300000000000000-220000001-1-11−333−30000
χ4322-2-2-2222-2-2222-2-22-2-2-222-222-2-22-22222-2-222-2-2-2-2002-2-2200000000000000000000000000002-200002-22-2000000000000
χ4422-2-2-2222-2-2222-2-22-2-2-222-222-2-22-22222-2-222-2-2-2-2002-2-220000000000000000000000000000-220000-22-22000000000000
χ4522-2-2-2222-2-2-12-11121-2-2-1-11-1-111-1-2222-111-1-111-2-200-111-13−300003−33−33−33−33−3000033−3−333−3−32-20000-11-11000000000000
χ4622-2-2-2222-2-2-12-11121-2-2-1-11-1-111-1-2222-111-1-111-2-200-111-13−300003−33−33−33−33−30000−3−333−3−333-2200001-11-1000000000000
χ4722-2-2-2222-2-2-12-11121-2-2-1-11-1-111-1-2222-111-1-111-2-200-111-1−330000−33−33−33−33−33000033−3−333−3−3-2200001-11-1000000000000
χ4822-2-2-2222-2-2-12-11121-2-2-1-11-1-111-1-2222-111-1-111-2-200-111-1−330000−33−33−33−33−330000−3−333−3−3332-20000-11-11000000000000
χ4922-2-2-2-2-2222222-2-22-2-2-222-22-222-2-22-2-22-2-222-2-22200-222-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-2-2222222-2-22-2-2-222-22-222-2-22-2-22-2-222-2-22200-222-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-2-2222-12-11121-2-2-1-11-11-1-11-22-2-2-111-1-11122001-1-113−30000−333−33−3−33−332i2i−2i−2i−i−iiiii−i−i000000−i3i3i3−i3000000000000
χ5222-2-2-2-2-2222-12-11121-2-2-1-11-11-1-11-22-2-2-111-1-11122001-1-113−30000−333−33−3−33−33−2i−2i2i2iii−i−i−i−iii000000i3−i3−i3i3000000000000
χ5322-2-2-2-2-2222-12-11121-2-2-1-11-11-1-11-22-2-2-111-1-11122001-1-11−3300003−3−33−333−33−32i2i−2i−2i−i−iiiii−i−i000000i3−i3−i3i3000000000000
χ5422-2-2-2-2-2222-12-11121-2-2-1-11-11-1-11-22-2-2-111-1-11122001-1-11−3300003−3−33−333−33−3−2i−2i2i2iii−i−i−i−iii000000−i3i3i3−i3000000000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-2221111111224-4-1-1-1-1-2-2-2-222221111-1-1-1-10000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-222111111122-44-1-1-1-12222-2-2-2-2-1-1-1-111110000000000000000000000000000000000
χ594444-44-4-44-44-24-4-4-24-2-2-4-44-244-4-422-22-22222-2-2-2200-2-22200000000000000000000000000000000000000000000000000
χ604444-44-4-44-4-24-2224-24422-2-2-2-222-4-44-4-22222-2-24-400-2-22200000000000000000000000000000000000000000000000000
χ614444-44-4-44-4-2-2-222-2-2-2-222-21-2-22222-221-1-1-1-111-220011-1-1000000003-3-333-3-330000000000000000000000000000000000
χ624444-44-4-44-4-2-2-222-2-2-2-222-21-2-22222-221-1-1-1-111-220011-1-100000000-333-3-333-30000000000000000000000000000000000
χ634444-4-44-4-444-24-4-4-24-2-2-4-44-2-4-444222-2-22222-2-22-20022-2-200000000000000000000000000000000000000000000000000
χ644444-4-44-4-44-24-2224-24422-2-222-2-2-4-4-44-22222-2-2-440022-2-200000000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-222-2-2-2-222-2122-2-2222-21-1-1-1-1112-200-1-111000000003-3-33-333-30000000000000000000000000000000000
χ664444-4-44-4-44-2-2-222-2-2-2-222-2122-2-2222-21-1-1-1-1112-200-1-11100000000-333-33-3-330000000000000000000000000000000000
χ6744-4-444-4-4-44-24-2-2-242-4-4222-2-22-224-44-4-2-2-22222-4400-22-2200000000000000000000000000000000000000000000000000
χ6844-4-444-4-4-44-2-2-2-2-2-22222221-22-22-22-22111-1-1-1-12-2001-11-10023−2323−2300−3−333−3−3330000000000000000000000000000000000
χ6944-4-444-4-4-44-2-2-2-2-2-22222221-22-22-22-22111-1-1-1-12-2001-11-100−2323−23230033−3−333−3−30000000000000000000000000000000000
χ7044-4-44-44-44-4-24-2-2-242-4-4222-22-22-24-4-44-2-2-222224-4002-22-200000000000000000000000000000000000000000000000000
χ7144-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-2111-1-1-1-1-2200-11-110023−23−232300−3−33333−3−30000000000000000000000000000000000
χ7244-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-2111-1-1-1-1-2200-11-1100−232323−230033−3−3−3−3330000000000000000000000000000000000
χ7344-4-4-4444-4-44-24-4-4-2-42244-4-24-4-442-2-2-2-222-2-2222200-222-200000000000000000000000000000000000000000000000000
χ7444-4-4-4444-4-4-2-2-222-2222-2-221-222-22-2-2-21-1-111-1-122001-1-1123−23000023−23−33−33−33−330000000000000000000000000000000000
χ7544-4-4-4444-4-4-2-2-222-2222-2-221-222-22-2-2-21-1-111-1-122001-1-11−23230000−23233−33−33−33−30000000000000000000000000000000000
χ7644-4-4-4-4-44444-24-4-4-2-42244-4-2-444-42-222-222-2-222-2-2002-2-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-2-2-222-2222-2-2212-2-222-2221-1-111-1-1-2-200-111-123−230000−2323−33−333−33−30000000000000000000000000000000000
χ7844-4-4-4-4-4444-2-2-222-2222-2-2212-2-222-2221-1-111-1-1-2-200-111-1−2323000023−233−33−3−33−330000000000000000000000000000000000
χ794-44-400000044-400-444-400-4400000000-400004-40000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400000044-400-444-400-4400000000-400004-4000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-4000000-242−2i32i3-4-24-4−2i32i32-2000000002−2i32i3−2i32i3-220000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ824-44-4000000-242−2i32i3-4-24-4−2i32i32-2000000002−2i32i3−2i32i3-22000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ834-44-4000000-2422i3−2i3-4-24-42i3−2i32-20000000022i3−2i32i3−2i3-220000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ844-44-4000000-2422i3−2i3-4-24-42i3−2i32-20000000022i3−2i32i3−2i3-22000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ854-4-4400000044-400-4-4-44004400000000-40000-440000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ864-4-4400000044-400-4-4-44004400000000-40000-44000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ874-4-44000000-242−2i32i3-42-442i3−2i3-2-2000000002−2i32i32i3−2i32-20000000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ884-4-44000000-242−2i32i3-42-442i3−2i3-2-2000000002−2i32i32i3−2i32-2000000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ894-4-44000000-2422i3−2i3-42-44−2i32i3-2-20000000022i3−2i3−2i32i32-20000000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ904-4-44000000-2422i3−2i3-42-44−2i32i3-2-20000000022i3−2i3−2i32i32-2000000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ918-88-80000008-4-80048-4400-8-40000000040000-440000000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-44−4i34i34-4-44−4i34i34200000000-22i3−2i32i3−2i32-20000000000000000000000000000000000000000000000000000000000
χ938-88-8000000-4-444i3−4i34-4-444i3−4i34200000000-2−2i32i3−2i32i32-20000000000000000000000000000000000000000000000000000000000
χ948-8-880000008-4-8004-84-4008-400000000400004-40000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44−4i34i3444-44i3−4i3-4200000000-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-444i3−4i3444-4−4i34i3-4200000000-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000

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