Finite Group Databasebeta

← Group #11794283

Character table — Group #11794283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444412121212121212124488881212121224242424242424244444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ112222222-1222222-12-12-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-1222222-12-12-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-1222222-12-12-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-1111111110000000000000022-2-20000-1-1-1-111110000
χ142222222-1222222-12-12-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-11111111100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-222-12-12-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-11111000000000000000000000033−3−333−3−30000
χ162222222-1-2-2-2-222-12-12-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-111110000000000000000000000−3−333−3−3330000
χ172222222-1-2-2-2-222-12-12-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-1000000000000000000000033−3−3−3−3330000
χ182222222-1-2-2-2-222-12-12-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-10000000000000000000000−3−33333−3−30000
χ19222222-122222-1-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-12-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ23222222-12-2-2-2-2-1-12-12-12-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ24222222-12-2-2-2-2-1-12-12-12-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ25222222-12-2-2-2-2-1-12-12-12-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2211-2-2-1-12211111111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ26222222-12-2-2-2-2-1-12-12-12-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2211-2-2-1-12211111111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ272222-2-2222-22-2-2-222222-2-222-2-22-2-2-2-22222-2-22-22-2000000000022-2-200000000000000000000000000000000000000020-2
χ282222-2-2222-22-2-2-222222-2-222-2-22-2-2-2-22222-2-22-22-2000000000022-2-2000000000000000000000000000000000000000-202
χ292222-2-222-22-22-2-222222-2-222-2-22-2-2-2-222-2-222-22-220000000000-2-2220000000000000000000000000000000000000020-20
χ302222-2-222-22-22-2-222222-2-222-2-22-2-2-2-222-2-222-22-220000000000-2-22200000000000000000000000000000000000000-2020
χ3122-2-22-2222-2-2222-222-2-2-2-2-222-2-222-2-22-22-22-22-2-2200000000002-22-20000000000000000000000002-2000000002-22-20000
χ3222-2-22-2222-2-2222-222-2-2-2-2-222-2-222-2-22-22-22-22-2-2200000000002-22-2000000000000000000000000-2200000000-22-220000
χ3322-2-22-222-222-222-222-2-2-2-2-222-2-222-2-22-2-22-22-222-20000000000-22-2200000000000000000000002-20000002-22-200000000
χ3422-2-22-222-222-222-222-2-2-2-2-222-2-222-2-22-2-22-22-222-20000000000-22-220000000000000000000000-22000000-22-2200000000
χ3522-2-22-22-12-2-222212-1-21-2-2-2-1-111-1-111-112-22-2-111-100003−3003−3-11-1133−3−333−3−300000000000000002-200003−3−33-11-110000
χ3622-2-22-22-12-2-222212-1-21-2-2-2-1-111-1-111-112-22-2-111-100003−3003−3-11-1133−3−333−3−30000000000000000-220000−333−31-11-10000
χ3722-2-22-22-12-2-222212-1-21-2-2-2-1-111-1-111-112-22-2-111-10000−3300−33-11-11−3−333−3−33300000000000000002-20000−333−3-11-110000
χ3822-2-22-22-12-2-222212-1-21-2-2-2-1-111-1-111-112-22-2-111-10000−3300−33-11-11−3−333−3−3330000000000000000-2200003−3−331-11-10000
χ3922-2-22-22-1-222-22212-1-21-2-2-2-1-111-1-111-11-22-221-1-1100003−300−331-11-133−3−3−3−333000000000000002-2000000-11-11−333−30000
χ4022-2-22-22-1-222-22212-1-21-2-2-2-1-111-1-111-11-22-221-1-1100003−300−331-11-133−3−3−3−33300000000000000-220000001-11-13−3−330000
χ4122-2-22-22-1-222-22212-1-21-2-2-2-1-111-1-111-11-22-221-1-110000−33003−31-11-1−3−33333−3−3000000000000002-2000000-11-113−3−330000
χ4222-2-22-22-1-222-22212-1-21-2-2-2-1-111-1-111-11-22-221-1-110000−33003−31-11-1−3−33333−3−300000000000000-220000001-11-1−333−30000
χ4322-2-2-222222-2-2-2-2-222-2-222-22-22-2-2-2222-22-2-2222-2-200000000002-2-220000000022-2-222-2-222-2-20000000000000000000000
χ4422-2-2-222222-2-2-2-2-222-2-222-22-22-2-2-2222-22-2-2222-2-200000000002-2-2200000000-2-222-2-222-2-2220000000000000000000000
χ4522-2-2-2222-2-222-2-2-222-2-222-22-22-2-2-2222-2-222-2-2-2220000000000-222-2000000000000000000002i−2i00002i−2i2i−2i000000000000
χ4622-2-2-2222-2-222-2-2-222-2-222-22-22-2-2-2222-2-222-2-2-2220000000000-222-200000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ4722-2-2-22-1222-2-211-2-121-2-1-11-1-22111-1-1-11-111-122-2-2003−3003−300-111-13−33−33−33−322-2-2-1-111-1-1110000003−3−33000000000000
χ4822-2-2-22-1222-2-211-2-121-2-1-11-1-22111-1-1-11-111-122-2-2003−3003−300-111-13−33−33−33−3-2-22211-1-111-1-1000000−333−3000000000000
χ4922-2-2-22-1222-2-211-2-121-2-1-11-1-22111-1-1-11-111-122-2-200−3300−3300-111-1−33−33−33−3322-2-2-1-111-1-111000000−333−3000000000000
χ5022-2-2-22-1222-2-211-2-121-2-1-11-1-22111-1-1-11-111-122-2-200−3300−3300-111-1−33−33−33−33-2-22211-1-111-1-10000003−3−33000000000000
χ5122-2-2-22-12-2-22211-2-121-2-1-11-1-22111-1-1-111-1-11-2-222003−300−33001-1-113−33−3−33−330000−i3−i3i3i3i3i3−i3−i32i−2i0000−ii−ii000000000000
χ5222-2-2-22-12-2-22211-2-121-2-1-11-1-22111-1-1-111-1-11-2-222003−300−33001-1-113−33−3−33−330000i3i3−i3−i3−i3−i3i3i3−2i2i0000i−ii−i000000000000
χ5322-2-2-22-12-2-22211-2-121-2-1-11-1-22111-1-1-111-1-11-2-22200−33003−3001-1-11−33−333−33−30000−i3−i3i3i3i3i3−i3−i3−2i2i0000i−ii−i000000000000
χ5422-2-2-22-12-2-22211-2-121-2-1-11-1-22111-1-1-111-1-11-2-22200−33003−3001-1-11−33−333−33−30000i3i3−i3−i3−i3−i3i3i32i−2i0000−ii−ii000000000000
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222224-4-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-442222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ594444-4-44-24-44-4-4-4-24-24-2-4-44-222-22222-2-244-4-4-22-220000000000-2-222000000000000000000000000000000000000000000
χ604444-4-44-2-44-44-4-4-24-24-2-4-44-222-22222-2-2-4-4442-22-2000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-244-44-4224-24-2422-2-2-4-4-22222-2-2-2-2224-44-40000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-44-44224-24-2422-2-2-4-4-22222-2-222-2-2-44-44000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-422-2-2-2-2-222-21221-1-1-1-111-2-222-22-22000000000011-1-13-3-333-3-330000000000000000000000000000000000
χ644444-4-4-2-24-44-422-2-2-2-2-222-21221-1-1-1-111-2-222-22-22000000000011-1-1-333-3-333-30000000000000000000000000000000000
χ654444-4-4-2-2-44-4422-2-2-2-2-222-21221-1-1-1-11122-2-22-22-20000000000-1-1113-3-33-333-30000000000000000000000000000000000
χ664444-4-4-2-2-44-4422-2-2-2-2-222-21221-1-1-1-11122-2-22-22-20000000000-1-111-333-33-3-330000000000000000000000000000000000
χ6744-4-44-4-244-4-44-2-2-4-242-4222-24-42-2-222-22-22-224-4-440000000000-22-22000000000000000000000000000000000000000000
χ6844-4-44-4-24-444-4-2-2-4-242-4222-24-42-2-222-222-22-2-444-400000000002-22-2000000000000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-2-22-2-2222221-22-111-1-11-1-22-22-222-2000023−230023−231-11-1−3−333−3−3330000000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-2-22-2-2222221-22-111-1-11-1-22-22-222-20000−232300−23231-11-133−3−333−3−30000000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-2-22-2-2222221-22-111-1-11-12-22-22-2-22000023−2300−2323-11-11−3−33333−3−30000000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-2-22-2-2222221-22-111-1-11-12-22-22-2-220000−23230023−23-11-1133−3−3−3−3330000000000000000000000000000000000
χ7344-4-4-444-244-4-4-4-424-2-4244-4-22-2222-2-2-224-4-44-2-2220000000000-222-2000000000000000000000000000000000000000000
χ7444-4-4-444-2-4-444-4-424-2-4244-4-22-2222-2-2-22-444-422-2-200000000002-2-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4222-2-222-2-2212-2-1-1-1111-1-222-2-2-2220023−230023−23001-1-11−33−33−33−330000000000000000000000000000000000
χ7644-4-4-44-2-244-4-4222-2-222-2-2212-2-1-1-1111-1-222-2-2-22200−232300−2323001-1-113−33−33−33−30000000000000000000000000000000000
χ7744-4-4-44-2-2-4-444222-2-222-2-2212-2-1-1-1111-12-2-2222-2-20023−2300−232300-111-1−33−333−33−30000000000000000000000000000000000
χ7844-4-4-44-2-2-4-444222-2-222-2-2212-2-1-1-1111-12-2-2222-2-200−23230023−2300-111-13−33−3−33−330000000000000000000000000000000000
χ794-44-40044000000-4-4-44400-4400-40000-440000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-40044000000-4-4-44400-4400-40000-44000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-240000−2i32i3-42-4-24−2i32i32-2002−2i32i3−2i32i32-20000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ824-44-400-240000−2i32i3-42-4-24−2i32i32-2002−2i32i3−2i32i32-2000000000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ834-44-400-2400002i3−2i3-42-4-242i3−2i32-20022i3−2i32i3−2i32-20000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ844-44-400-2400002i3−2i3-42-4-242i3−2i32-20022i3−2i32i3−2i32-2000000000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ854-4-4400440000004-4-4-4-400440040000-4-40000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ864-4-4400440000004-4-4-4-400440040000-4-4000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ874-4-4400-240000−2i32i342-42-42i3−2i3-2-200-2−2i32i32i3−2i3220000000000000000000000000000002i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ70000000000000000000000
χ884-4-4400-240000−2i32i342-42-42i3−2i3-2-200-2−2i32i32i3−2i322000000000000000000000000000000−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ70000000000000000000000
χ894-4-4400-2400002i3−2i342-42-4−2i32i3-2-200-22i3−2i3−2i32i3220000000000000000000000000000002i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ110000000000000000000000
χ904-4-4400-2400002i3−2i342-42-4−2i32i3-2-200-22i3−2i3−2i32i322000000000000000000000000000000−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000000000000
χ918-88-8008-40000004-848-400-8-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000−4i34i3444-4-4−4i34i34200-22i3−2i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004i3−4i3444-4-44i3−4i34200-2−2i32i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-4000000-4-84-84008-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000−4i34i3-444444i3−4i3-420022i3−2i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004i3−4i3-44444−4i34i3-42002−2i32i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000

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