Finite Group Databasebeta

← Group #11794286

Character table — Group #11794286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444412121212121212124444881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-111
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000002-2000000022-2-200000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000-220000000-2-22200000000
χ112222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000200222-1-1-1-10000-1-1-1-10000
χ122222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2-21111000011110000
χ132222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000000000002002-2-2-1-1-1-1000011110000
χ142222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-111111111000000000000-200-22211110000-1-1-1-10000
χ15222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000000-1-1-1-100000000
χ16222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000000111100000000
χ17222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-10-2-20000000111100000000
χ18222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2111111110220000000-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i302-20000000-1-11100000000
χ20222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30-22000000011-1-100000000
χ21222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30-22000000011-1-100000000
χ22222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i302-20000000-1-11100000000
χ232222-2-2222-22-2-2-2222-2-22222-2-22-2-2-2-22222-2-22-2-22000000000022-2-200000000000000000000200-200-2-222000000000000
χ242222-2-2222-22-2-2-2222-2-22222-2-22-2-2-2-22222-2-22-2-22000000000022-2-200000000000000000000-20020022-2-2000000000000
χ252222-2-222-22-22-2-2222-2-22222-2-22-2-2-2-222-2-222-222-20000000000-2-222000000000000000000000000000000000000002-200
χ262222-2-222-22-22-2-2222-2-22222-2-22-2-2-2-222-2-222-222-20000000000-2-22200000000000000000000000000000000000000-2200
χ272222-2-22-12-22-2-2-22-12-2-2-1-12-111-11111-1-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000200-20011-1-10000−i3−i3i3i30000
χ282222-2-22-12-22-2-2-22-12-2-2-1-12-111-11111-1-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000-200200-1-1110000i3i3−i3−i30000
χ292222-2-22-12-22-2-2-22-12-2-2-1-12-111-11111-1-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000200-20011-1-10000i3i3−i3−i30000
χ302222-2-22-12-22-2-2-22-12-2-2-1-12-111-11111-1-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000-200200-1-1110000−i3−i3i3i30000
χ3122-2-22-2222-2-222222-2-2-2-2-2-222-2-222-2-22-22-22-222-2-200000000002-22-200000000000000000000000000000000000000002-2
χ3222-2-22-2222-2-222222-2-2-2-2-2-222-2-222-2-22-22-22-222-2-200000000002-22-20000000000000000000000000000000000000000-22
χ3322-2-22-222-222-22222-2-2-2-2-2-222-2-222-2-22-2-22-22-2-2220000000000-22-220000000000000000000000002-2000000002-22-20000
χ3422-2-22-222-222-22222-2-2-2-2-2-222-2-222-2-22-2-22-22-2-2220000000000-22-22000000000000000000000000-2200000000-22-220000
χ3522-2-22-22-1-222-2222-1-2-2-211-2-1-111-1-111-11-22-2211-1-10000003−33−31-11-13−33−33−33−300000000000000002-23−33−30000-11-110000
χ3622-2-22-22-1-222-2222-1-2-2-211-2-1-111-1-111-11-22-2211-1-10000003−33−31-11-13−33−33−33−30000000000000000-22−33−3300001-11-10000
χ3722-2-22-22-1-222-2222-1-2-2-211-2-1-111-1-111-11-22-2211-1-1000000−33−331-11-1−33−33−33−3300000000000000002-2−33−330000-11-110000
χ3822-2-22-22-1-222-2222-1-2-2-211-2-1-111-1-111-11-22-2211-1-1000000−33−331-11-1−33−33−33−330000000000000000-223−33−300001-11-10000
χ3922-2-2-222222-2-2-2-222-222-2-2-22-22-2-2-2222-22-2-222-22-200000000002-2-220000000022-2-222-2-222-2-20000000000000000000000
χ4022-2-2-222222-2-2-2-222-222-2-2-22-22-2-2-2222-22-2-222-22-200000000002-2-2200000000-2-222-2-222-2-2220000000000000000000000
χ4122-2-2-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-222-2-22-222i−2i2i−2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ4222-2-2-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-222-2-22-22−2i2i−2i2i−2i2i−2i2i2i−2i-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ4322-2-2-222-1-2-222-2-22-1-22211-2-11-1111-1-1-11-222-21-11-12i−2i2i−2i2i−2i−iii−i1-1-11−iii−i−iii−i0000000000000000003−3−330000i3−i3−i3i30000
χ4422-2-2-222-1-2-222-2-22-1-22211-2-11-1111-1-1-11-222-21-11-12i−2i2i−2i2i−2i−iii−i1-1-11−iii−i−iii−i000000000000000000−333−30000−i3i3i3−i30000
χ4522-2-2-222-1-2-222-2-22-1-22211-2-11-1111-1-1-11-222-21-11-1−2i2i−2i2i−2i2ii−i−ii1-1-11i−i−iii−i−ii0000000000000000003−3−330000−i3i3i3−i30000
χ4622-2-2-222-1-2-222-2-22-1-22211-2-11-1111-1-1-11-222-21-11-1−2i2i−2i2i−2i2ii−i−ii1-1-11i−i−iii−i−ii000000000000000000−333−30000i3−i3−i3i30000
χ4722-2-2-22-1222-2-211-121-1-1-2-21-1-22111-1-1-11-111-12-22-2003−3−330000-111-13−3−33−333−322-2-2-1-111-1-11100000000003−33−300000000
χ4822-2-2-22-1222-2-211-121-1-1-2-21-1-22111-1-1-11-111-12-22-2003−3−330000-111-13−3−33−333−3-2-22211-1-111-1-10000000000−33−3300000000
χ4922-2-2-22-1222-2-211-121-1-1-2-21-1-22111-1-1-11-111-12-22-200−333−30000-111-1−333−33−3−3322-2-2-1-111-1-1110000000000−33−3300000000
χ5022-2-2-22-1222-2-211-121-1-1-2-21-1-22111-1-1-11-111-12-22-200−333−30000-111-1−333−33−3−33-2-22211-1-111-1-100000000003−33−300000000
χ5122-2-2-22-12-2-22211-121-1-1-2-21-1-22111-1-1-111-1-11-22-222i−2i−ii−ii2i−2i−2i2i1-1-11−iii−i−iii−i0000−i3−i3i3i3i3i3−i3−i300000000003−3−3300000000
χ5222-2-2-22-12-2-22211-121-1-1-2-21-1-22111-1-1-111-1-11-22-222i−2i−ii−ii2i−2i−2i2i1-1-11−iii−i−iii−i0000i3i3−i3−i3−i3−i3i3i30000000000−333−300000000
χ5322-2-2-22-12-2-22211-121-1-1-2-21-1-22111-1-1-111-1-11-22-22−2i2ii−ii−i−2i2i2i−2i1-1-11i−i−iii−i−ii0000−i3−i3i3i3i3i3−i3−i30000000000−333−300000000
χ5422-2-2-22-12-2-22211-121-1-1-2-21-1-22111-1-1-111-1-11-22-22−2i2ii−ii−i−2i2i2i−2i1-1-11i−i−iii−i−ii0000i3i3−i3−i3−i3−i3i3i300000000003−3−3300000000
χ554444444-2-4-4-4-4444-2444-2-24-2-2-2-2-2-2-2-2-2-2-4-4-4-4222200000000002222000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-2-44-44-4-44-24-4-4-2-24-222-22222-2-2-4-4442-2-22000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-244-44-422-24-22244-2-2-4-4-22222-2-2-2-2224-4-440000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-44-4422-24-22244-2-2-4-4-22222-2-222-2-2-444-4000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-422-2-2-222-2-2-21221-1-1-1-111-2-222-222-2000000−2i3−2i32i32i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-422-2-2-222-2-2-21221-1-1-1-111-2-222-222-20000002i32i3−2i3−2i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-4422-2-2-222-2-2-21221-1-1-1-11122-2-22-2-220000000000-1-11133-3-3-3-3330000000000000000000000000000000000
χ664444-4-4-2-2-44-4422-2-2-222-2-2-21221-1-1-1-11122-2-22-2-220000000000-1-111-3-33333-3-30000000000000000000000000000000000
χ6744-4-44-44-24-4-44444-2-4-4-422-4-2-222-2-222-224-44-4-2-2220000000000-22-22000000000000000000000000000000000000000000
χ6844-4-44-4-244-4-44-2-2-24222-4-42-24-42-2-222-22-22-2244-4-40000000000-22-22000000000000000000000000000000000000000000
χ6944-4-44-4-24-444-4-2-2-24222-4-42-24-42-2-222-222-22-2-4-44400000000002-22-2000000000000000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-2-2-2-22222221-22-111-1-11-1-22-22-2-22200000000001-11-13i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-2-24-4-44-2-2-2-22222221-22-111-1-11-1-22-22-2-22200000000001-11-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-2-2-2-22222221-22-111-1-11-12-22-222-2-200000023−2323−23-11-11−33−33−33−330000000000000000000000000000000000
χ7344-4-44-4-2-2-444-4-2-2-2-22222221-22-111-1-11-12-22-222-2-2000000−2323−2323-11-113−33−33−33−30000000000000000000000000000000000
χ7444-4-4-444-244-4-4-4-44-2-44422-4-22-2222-2-2-224-4-44-22-220000000000-222-2000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-222-2-22-220023−23−232300001-1-11−333−33−3−330000000000000000000000000000000000
χ7644-4-4-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-222-2-22-2200−232323−2300001-1-113−3−33−333−30000000000000000000000000000000000
χ7744-4-4-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-12-2-222-22-24i−4i−2i2i−2i2i−2i2i2i−2i-111-1i−i−iii−i−ii0000000000000000000000000000000000
χ7844-4-4-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-12-2-222-22-2−4i4i2i−2i2i−2i2i−2i−2i2i-111-1−iii−i−iii−i0000000000000000000000000000000000
χ794-44-40044000000-4-4400-44-4400-40000-440000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-40044000000-4-4400-44-4400-40000-44000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-240000−2i32i32-4-2−2i32i3-442-2002−2i32i3−2i32i32-20000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ824-44-400-240000−2i32i32-4-2−2i32i3-442-2002−2i32i3−2i32i32-2000000000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ834-44-400-2400002i3−2i32-4-22i3−2i3-442-20022i3−2i32i3−2i32-20000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ844-44-400-2400002i3−2i32-4-22i3−2i3-442-20022i3−2i32i3−2i32-2000000000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ854-4-440044000000-4-4-4004-4440040000-4-40000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ864-4-440044000000-4-4-4004-4440040000-4-4000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ874-4-4400-240000−2i32i32-422i3−2i34-4-2-200-2−2i32i32i3−2i3220000000000000000000000000000002i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ70000000000000000000000
χ884-4-4400-240000−2i32i32-422i3−2i34-4-2-200-2−2i32i32i3−2i322000000000000000000000000000000−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ70000000000000000000000
χ894-4-4400-2400002i3−2i32-42−2i32i34-4-2-200-22i3−2i3−2i32i3220000000000000000000000000000002i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ110000000000000000000000
χ904-4-4400-2400002i3−2i32-42−2i32i34-4-2-200-22i3−2i3−2i32i322000000000000000000000000000000−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000000000000
χ918-88-8008-4000000-848004-4-8-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000−4i34i344-4−4i34i34-44200-22i3−2i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004i3−4i344-44i3−4i34-44200-2−2i32i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-4000000-84-800-448-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000−4i34i34444i3−4i3-44-420022i3−2i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004i3−4i3444−4i34i3-44-42002−2i32i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000

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