Finite Group Databasebeta

← Group #11887394

Character table — Group #11887394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666622366688121212122424242444448888121212122666666121224242424242424448812121212242424246666622444612121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111-1-111-1-1-1-111111-1-111-1111-1-1-1-111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111-1111-1-111-1-1111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1111111-111-1-1-1-11-1-1111-1-111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-11-1-1-1-1-1-111111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ1111111111111111-1-111111111111111-1-11111111111-1-1-1-1-1-1-111111111-11-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-11-11-1-1-1-111-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-11111111-1-111-1-1-1111-1-111-1-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-1-11-1-1-111-1-11111-111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-11-11111-1-1111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-2-20000-2-22200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000-2200002222000000000-2-2000-200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222000022220000000-2-20000002-20000-2-2-2-2000000000-2-2000200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022000022-2-200000000022000200000000-200000
χ2122222-122-122-1-1222-1-1-1-1222-12-1222222000000000022222-1-1-1-1-1-1-1-1-1-120002200-1-10000-1-1-1-1-100220-1-1-10000-1-1000-100
χ2222222-122-122-1-1222-1-1-1-1222-12-12222-2-2000000000022222-1-1-1-1-1-1-1-1-1-1-2000-2-200110000-1-1-1-1-100-2-20111000011000100
χ2322222-122-122-1-1222-1-1-1-1-2-22-12-1-2-2-2-2220000000000-222-2-2-1-1-1-11111112000-2-200-1-100001-1-111002-20-1-1-1000011000100
χ2422222-122-122-1-1222-1-1-1-1-2-22-12-1-2-2-2-2-2-20000000000-222-2-2-1-1-1-1111111-200022001100001-1-11100-2201110000-1-1000-100
χ2522222-122-122-1-12-2-2-1-1-1-1222-12-12222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-120002200-1-100001111100-2-20-1110000-1-1000100
χ2622222-122-122-1-12-2-2-1-1-1-1222-12-12222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2000-2-20011000011111002201-1-1000011000-100
χ2722222-122-122-1-12-2-2-1-1-1-1-2-22-12-1-2-2-2-22200000000002-2-22211-1-11111112000-2-200-1-10000-111-1-100-220-111000011000-100
χ2822222-122-122-1-12-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-200000000002-2-22211-1-1111111-20002200110000-111-1-1002-201-1-10000-1-1000100
χ292222-12222-1-122-122-1-1-1-122-12-12-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-1022200-1-100-1-1-1-12-1-1-1-100002000-1-1-1-100000000
χ302222-12222-1-122-122-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-2-200110011112-1-1-1-10000-2000111100000000
χ312222-12222-1-122-122-1-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-2111102-2-200-1-1001111-2-1-11100002000-1-11100000000
χ322222-12222-1-122-122-1-1-1-1-2-2-12-12111100-2-222221111-2-1-11122-1-1-2-211110-222001100-1-1-1-1-2-1-1110000-200011-1-100000000
χ332222-12222-1-122-1-2-2-1-1-1-122-12-12-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-102-2-200-1-100-1-1-1-1-211110000-2000111100000000
χ342222-12222-1-122-1-2-2-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-10-2220011001111-2111100002000-1-1-1-100000000
χ352222-12222-1-122-1-2-2-1-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-21111022200-1-1001111211-1-10000-200011-1-100000000
χ362222-12222-1-122-1-2-2-1-1-1-1-2-2-12-12111100-2-222221111211-1-1-2-2-1-1-2-211110-2-2-2001100-1-1-1-1211-1-100002000-1-11100000000
χ3722-2-2222-2-22-2-22-22-22-2-220022-2-2000000002i2i−2i−2i000002-2002-2-22000000002i−2i0000002i2i−2i−2i02-20000000000002i−2i00000000
χ3822-2-2222-2-22-2-22-22-22-2-220022-2-200000000−2i−2i2i2i000002-2002-2-2200000000−2i2i000000−2i−2i2i2i02-2000000000000−2i2i00000000
χ3922-2-2222-2-22-2-22-2-222-2-220022-2-2000000002i2i−2i−2i00000-2200-22-2200000000−2i2i0000002i2i−2i−2i0-22000000000000−2i2i00000000
χ4022-2-2222-2-22-2-22-2-222-2-220022-2-200000000−2i−2i2i2i00000-2200-22-22000000002i−2i000000−2i−2i2i2i0-220000000000002i−2i00000000
χ4122-2-2-122-2-2-11-2212-2-111-100-121-2−i3−i3i3i300002i2i−2i−2i33−3−30-11−i3i32-21-100−i3−i3i3i3002i−2i003−300−i−iii0-11−i3i3000000003−3−ii00000000
χ4222-2-2-122-2-2-11-2212-2-111-100-121-2−i3−i3i3i30000−2i−2i2i2i−3−3330-11−i3i32-21-100−i3−i3i3i300−2i2i00−3300ii−i−i0-11−i3i300000000−33i−i00000000
χ4322-2-2-122-2-2-11-2212-2-111-100-121-2i3i3−i3−i300002i2i−2i−2i−3−3330-11i3−i32-21-100i3i3−i3−i3002i−2i00−3300−i−iii0-11i3−i300000000−33−ii00000000
χ4422-2-2-122-2-2-11-2212-2-111-100-121-2i3i3−i3−i30000−2i−2i2i2i33−3−30-11i3−i32-21-100i3i3−i3−i300−2i2i003−300ii−i−i0-11i3−i3000000003−3i−i00000000
χ4522-2-2-122-2-2-11-221-22-111-100-121-2−i3−i3i3i300002i2i−2i−2i33−3−301-1i3−i3-221-100−i3−i3i3i300−2i2i003−300−i−iii01-1i3−i300000000−33i−i00000000
χ4622-2-2-122-2-2-11-221-22-111-100-121-2−i3−i3i3i30000−2i−2i2i2i−3−33301-1i3−i3-221-100−i3−i3i3i3002i−2i00−3300ii−i−i01-1i3−i3000000003−3−ii00000000
χ4722-2-2-122-2-2-11-221-22-111-100-121-2i3i3−i3−i300002i2i−2i−2i−3−33301-1−i3i3-221-100i3i3−i3−i300−2i2i00−3300−i−iii01-1−i3i3000000003−3i−i00000000
χ4822-2-2-122-2-2-11-221-22-111-100-121-2i3i3−i3−i30000−2i−2i2i2i33−3−301-1−i3i3-221-100i3i3−i3−i3002i−2i003−300ii−i−i01-1−i3i300000000−33−ii00000000
χ492-22-222002-22-2-2-20022-2-22−200002−22−22i−2i2i−2i−i2i2−i2i22i−2i2i−2i0000000002−22−22−20000−i2i2002i−2i−i2i2−i2i2000002-20000000000−i2i202−2000
χ502-22-222002-22-2-2-20022-2-22−200002−22−22i−2i−2i2ii2−i2i2−i2−2i2i−2i2i0000000002−22−22−20000−i2i2002i−2ii2−i2i2−i200000-220000000000−i2i20−22000
χ512-22-222002-22-2-2-20022-2-22−200002−22−2−2i2i2i−2i−i2i2−i2i22i−2i2i−2i0000000002−22−22−20000i2−i200−2i2i−i2i2−i2i200000-220000000000i2−i20−22000
χ522-22-222002-22-2-2-20022-2-22−200002−22−2−2i2i−2i2ii2−i2i2−i2−2i2i−2i2i0000000002−22−22−20000i2−i200−2i2ii2−i2i2−i2000002-20000000000i2−i202−2000
χ532-22-222002-22-2-2-20022-2-2−220000−22−222i−2i2i−2ii2−i2i2−i22i−2i2i−2i000000000−22−22−220000i2−i2002i−2ii2−i2i2−i2000002-20000000000i2−i20−22000
χ542-22-222002-22-2-2-20022-2-2−220000−22−222i−2i−2i2i−i2i2−i2i2−2i2i−2i2i000000000−22−22−220000i2−i2002i−2i−i2i2−i2i200000-220000000000i2−i202−2000
χ552-22-222002-22-2-2-20022-2-2−220000−22−22−2i2i2i−2ii2−i2i2−i22i−2i2i−2i000000000−22−22−220000−i2i200−2i2ii2−i2i2−i200000-220000000000−i2i202−2000
χ562-22-222002-22-2-2-20022-2-2−220000−22−22−2i2i−2i2i−i2i2−i2i2−2i2i−2i2i000000000−22−22−220000−i2i200−2i2i−i2i2−i2i2000002-20000000000−i2i20−22000
χ5744444-2-4-4-244-2-2400-2-2-2-200-42-420000440000000000000000022000000-40000000-2-200000000000000200000000000000
χ5844444-2-4-4-244-2-2400-2-2-2-200-42-420000-4-40000000000000000022000000400000002200000000000000-200000000000000
χ594444-24-4-44-2-244-200-2-2-2-2002-42-4000000440000-2-2-2-20000000220000000-40000220000000000000000000000000000000
χ604444-24-4-44-2-244-200-2-2-2-2002-42-4000000-4-400002222000000022000000040000-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-444-44-44-4-44-4004-4-4400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-24-424-42-2-44-4-222-2004-2-42000000000000000004-400-222-2000000000000000000000-220000000000000000000000
χ6744-4-44-24-424-42-2-4-44-222-2004-2-4200000000000000000-44002-22-20000000000000000000002-20000000000000000000000
χ6844-4-44-2-4424-42-2-400-222-200-424-200000000000000000000000-220000000000000000000000000000000−2i32i3000000000000
χ6944-4-44-2-4424-42-2-400-222-200-424-200000000000000000000000-2200000000000000000000000000000002i3−2i3000000000000
χ7044-4-4-24-44-4-22-44200-222-2002-4-240000000000002323−23−230000000-22000000000000−23230000000000000000000000000000000
χ7144-4-4-24-44-4-22-44200-222-2002-4-24000000000000−23−2323230000000-2200000000000023−230000000000000000000000000000000
χ7244-4-4-2-24-42-222-224-41-1-1100-2-222−2i3−2i32i32i30000000000000-22−2i32i3-22-1100i3i3−i3−i30000000000000001-1i3−i300000000000000000000
χ7344-4-4-2-24-42-222-224-41-1-1100-2-2222i32i3−2i3−2i30000000000000-222i3−2i3-22-1100−i3−i3i3i30000000000000001-1−i3i300000000000000000000
χ7444-4-4-2-24-42-222-22-441-1-1100-2-222−2i3−2i32i32i300000000000002-22i3−2i32-2-1100i3i3−i3−i3000000000000000-11−i3i300000000000000000000
χ7544-4-4-2-24-42-222-22-441-1-1100-2-2222i32i3−2i3−2i300000000000002-2−2i32i32-2-1100−i3−i3i3i3000000000000000-11i3−i300000000000000000000
χ764-44-44-200-2-4422-400-2-22222−22000022−2222−224i−4i0000000000000000000−22−22−220000−2i22i200−2i2i000000000000000000000i2−i2000000
χ774-44-44-200-2-4422-400-2-22222−22000022−2222−22−4i4i0000000000000000000−22−22−2200002i2−2i2002i−2i000000000000000000000−i2i2000000
χ784-44-44-200-2-4422-400-2-222−22220000−2222−22224i−4i00000000000000000002−22−22−200002i2−2i200−2i2i000000000000000000000−i2i2000000
χ794-44-44-200-2-4422-400-2-222−22220000−2222−2222−4i4i00000000000000000002−22−22−20000−2i22i2002i−2i000000000000000000000i2−i2000000
χ804-44-4-240042-2-4-4200-2-22222−220000−22−22004i−4i−2i22i2−2i22i2−2i2i−2i2i00000000022−22−22−220000000000i2−i2i2−i20000000000000000000000000
χ814-44-4-240042-2-4-4200-2-22222−220000−22−2200−4i4i2i2−2i22i2−2i22i−2i2i−2i00000000022−22−22−220000000000−i2i2−i2i20000000000000000000000000
χ824-44-4-240042-2-4-4200-2-222−222200002−22−2004i−4i2i2−2i22i2−2i2−2i2i−2i2i000000000−22222−22−20000000000−i2i2−i2i20000000000000000000000000
χ834-44-4-240042-2-4-4200-2-222−222200002−22−200−4i4i−2i22i2−2i22i22i−2i2i−2i000000000−22222−22−20000000000i2−i2i2−i20000000000000000000000000
χ844-4-444400-4-4-44-44004-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-4-4-44-44004-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ864-4-44-2400-4224-4-200-22-22000000i6−i6−i6i6000022−22−2222−2i32i32i3−2i300000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ874-4-44-2400-4224-4-200-22-22000000i6−i6−i6i60000−222222−222i3−2i3−2i32i300000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ884-4-44-2400-4224-4-200-22-22000000−i6i6i6−i6000022−22−22222i3−2i3−2i32i300000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ894-4-44-2400-4224-4-200-22-22000000−i6i6i6−i60000−222222−22−2i32i32i3−2i300000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-884-444-44002-2-220044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000
χ928-88-8-4-400-44-44440022-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ938-88-8-4-400-44-44440022-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000
χ948-8-888-4004-8-8-44800-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-44-4002-22-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ968-8-88-4-400444-44-4002-22-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).