Finite Group Databasebeta

← Group #11897565

Character table — Group #11897565

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122234666666612121212121212121212121246666661212121212121212121212121222444488881212121224242424242424244446612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111
χ711111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-1111-11-111-1-111-1-11111-1-1-1-11-1-111-1-11-111-1-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-11-111-1-1-11-1-111-11-11
χ11111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-111111-11-1-1111-111-1-1-11-11
χ12111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-111-1-111-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-11111111-11-1-1-11111-1-1-1-1-1-11111-11-111-1-11-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-1111111-11-11-1-111-1-111-1-1-1-111111-1-111-1-1-1111-1-1-111-1
χ15111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-11111-1-11-11-111-1-111-1-11111-1-1-1-1-111-1-1111-1-1-111-111-1
χ16111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-11-11-1-111-1111-1-11-1-11
χ1722222222-2-22222222222002-20000222-2-2-2-2222222-2-200000000000-2-2-2-2-200000022-2-200002222000000000000000-2-200000000
χ1822222222-2-22222222222002-20000222-2-2-2-2222222-2-200000000000-2-2-2-2-2000000-2-2220000-2-2-2-20000000000000002200000000
χ19222222-2-2-2-2222222-2-2-2-200220000222-2-222-2-2-2-2-2-2-2-2000000000002-2-2220000002-2-22000022-2-2000000000000000-2200000000
χ20222222-2-2-2-2222222-2-2-2-200220000222-2-222-2-2-2-2-2-2-2-2000000000002-2-222000000-222-20000-2-2220000000000000002-200000000
χ2122222-122222-1-12-12-1-1-1-122-122222-1-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1002-1-1-1-10000000000
χ2222222-122222-1-12-12-1-1-1-122-122222-1-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111100-211110000000000
χ2322222-122222-1-12-12-1-1-1-1-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-1-2111111-2-2112-1-1-1-11111220000-2-2-2-2000011111111002-1-1-1-10000000000
χ2422222-122222-1-12-12-1-1-1-1-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-1-2111111-2-2112-1-1-1-11111-2-2000022220000-1-1-1-1-1-1-1-100-211110000000000
χ2522222-1-2-2222-1-12-12111122-1-22222-1-1-12211-2-21111-1-1-2-1-1-1-1-1-1-2-211-2-1-111111122000022-2-20000-1-1-1-1111100-2-1-1110000000000
χ2622222-1-2-2222-1-12-12111122-1-22222-1-1-12211-2-21111-1-1-2-1-1-1-1-1-1-2-211-2-1-1111111-2-20000-2-22200001111-1-1-1-100211-1-10000000000
χ2722222-1-2-2222-1-12-121111-2-2-1-2-2-2-2-2-1-1-12211-2-21111-1-1211111122-1-1-2-1-111-1-1-1-1220000-2-22200001111-1-1-1-100-2-1-1110000000000
χ2822222-1-2-2222-1-12-121111-2-2-1-2-2-2-2-2-1-1-12211-2-21111-1-1211111122-1-1-2-1-111-1-1-1-1-2-2000022-2-20000-1-1-1-1111100211-1-10000000000
χ292222-122222-122-12-1222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-10022220000-1-1-1-1000000002200000-1-1-1-1-1-10000
χ302222-122222-122-12-1222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-2-2000001111110000
χ312222-122222-122-12-12222-2-2-121111-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-111110022220000-1-1-1-100000000-2-200000-1-111110000
χ322222-122222-122-12-12222-2-2-121111-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-1111100-2-2-2-20000111100000000220000011-1-1-1-10000
χ332222-1222-2-2-122-12-1222200-1-2−i3−i3i3i3-1-1-111-2-2-1-1-1-1-1-1-2-2000−i3−i3i3i3−i3i30011111−i3−i3i3i30022-2-20000-1-1-1-100000000000000011−i3i3−i3i30000
χ342222-1222-2-2-122-12-1222200-1-2−i3−i3i3i3-1-1-111-2-2-1-1-1-1-1-1-2-2000−i3−i3i3i3−i3i30011111−i3−i3i3i300-2-22200001111000000000000000-1-1i3−i3i3−i30000
χ352222-1222-2-2-122-12-1222200-1-2i3i3−i3−i3-1-1-111-2-2-1-1-1-1-1-1-2-2000i3i3−i3−i3i3−i30011111i3i3−i3−i30022-2-20000-1-1-1-100000000000000011i3−i3i3−i30000
χ362222-1222-2-2-122-12-1222200-1-2i3i3−i3−i3-1-1-111-2-2-1-1-1-1-1-1-2-2000i3i3−i3−i3i3−i30011111i3i3−i3−i300-2-22200001111000000000000000-1-1−i3i3−i3i30000
χ372222-12-2-222-122-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-1-1-2-211111122-222-1-1-1-111-2-21-1-1111111002-22-20000-1-111000000002-200000-11-1-1110000
χ382222-12-2-222-122-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-1-1-2-211111122-222-1-1-1-111-2-21-1-111111100-22-22000011-1-100000000-22000001-111-1-10000
χ392222-12-2-222-122-12-1-2-2-2-2-2-2-1-21111-1-1-1-1-1-2-2111111222-2-21111-1-1221-1-111-1-1-1-1002-22-20000-1-11100000000-2200000-1111-1-10000
χ402222-12-2-222-122-12-1-2-2-2-2-2-2-1-21111-1-1-1-1-1-2-2111111222-2-21111-1-1221-1-111-1-1-1-100-22-22000011-1-1000000002-2000001-1-1-1110000
χ412222-12-2-2-2-2-122-12-1-2-2-2-200-12−i3−i3i3i3-1-1-11122111111-2-2000−i3−i3i3i3i3−i300-111-1-1i3i3−i3−i3002-2-220000-1-1110000000000000001-1−i3i3i3−i30000
χ422222-12-2-2-2-2-122-12-1-2-2-2-200-12−i3−i3i3i3-1-1-11122111111-2-2000−i3−i3i3i3i3−i300-111-1-1i3i3−i3−i300-222-2000011-1-1000000000000000-11i3−i3−i3i30000
χ432222-12-2-2-2-2-122-12-1-2-2-2-200-12i3i3−i3−i3-1-1-11122111111-2-2000i3i3−i3−i3−i3i300-111-1-1−i3−i3i3i3002-2-220000-1-1110000000000000001-1i3−i3−i3i30000
χ442222-12-2-2-2-2-122-12-1-2-2-2-200-12i3i3−i3−i3-1-1-11122111111-2-2000i3i3−i3−i3−i3i300-111-1-1−i3−i3i3i300-222-2000011-1-1000000000000000-11−i3i3i3−i30000
χ4522-2-222002-222-2-2-2-200002-2202-22-22-2-22-2000000002-202-22-22-2000002-20000002-200002-200000022-2-200000002-2000000000000
χ4622-2-222002-222-2-2-2-200002-2202-22-22-2-22-2000000002-202-22-22-2000002-2000000-220000-22000000-2-2220000000-22000000000000
χ4722-2-222002-222-2-2-2-20000-2220-22-222-2-22-2000000002-20-22-22-22000002-20000002-20000-22000000-2-22200000002-2000000000000
χ4822-2-222002-222-2-2-2-20000-2220-22-222-2-22-2000000002-20-22-22-22000002-2000000-2200002-200000022-2-20000000-22000000000000
χ4922-2-22-1002-22-11-21-233−3−32-2-102-22-2-1112-23−30033−3−3-110-11-11-11003−30-113−33−33−32-200002-2000000-1-11133−3−3000-113−30000000000
χ5022-2-22-1002-22-11-21-233−3−32-2-102-22-2-1112-23−30033−3−3-110-11-11-11003−30-113−33−33−3-220000-2200000011-1-1−3−3330001-1−330000000000
χ5122-2-22-1002-22-11-21-233−3−3-22-10-22-22-1112-23−30033−3−3-1101-11-11-100−330-113−3−33−332-20000-2200000011-1-1−3−333000-113−30000000000
χ5222-2-22-1002-22-11-21-233−3−3-22-10-22-22-1112-23−30033−3−3-1101-11-11-100−330-113−3−33−33-2200002-2000000-1-11133−3−30001-1−330000000000
χ5322-2-22-1002-22-11-21-2−3−3332-2-102-22-2-1112-2−3300−3−333-110-11-11-1100−330-11−33−33−332-200002-2000000-1-111−3−333000-11−330000000000
χ5422-2-22-1002-22-11-21-2−3−3332-2-102-22-2-1112-2−3300−3−333-110-11-11-1100−330-11−33−33−33-220000-2200000011-1-133−3−30001-13−30000000000
χ5522-2-22-1002-22-11-21-2−3−333-22-10-22-22-1112-2−3300−3−333-1101-11-11-1003−30-11−333−33−32-20000-2200000011-1-133−3−3000-11−330000000000
χ5622-2-22-1002-22-11-21-2−3−333-22-10-22-22-1112-2−3300−3−333-1101-11-11-1003−30-11−333−33−3-2200002-2000000-1-111−3−3330001-13−30000000000
χ5744444-244-4-44-2-24-24-2-2-2-200-2-40000-2-2-2-4-42244-2-2-2-22200000000000-422220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-24-24222200-240000-2-2-2-4-4-2-2-4-422222200000000000422-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-21111-2-24-2-21111-2-2-2-2-211111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-21111-2-2-422-1-1-1-12222-21111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4−2i3−2i32i32i31112222-2-2111122000i3i3−i3−i3−2i32i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-42i32i3−2i3−2i31112222-2-2111122000−i3−i3i3i32i3−2i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222441-4-2-2-2-2111-2-22222-1-1-1-1-2-2-4-2-211112222211-1-1-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-41-42222111-2-22222-1-1-1-1-2-2422-1-1-1-1-2-2-2-2211-1-11111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222220014−2i3−2i32i32i311122-2-222-1-1-1-122000i3i3−i3−i32i3−2i300-2-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2222200142i32i3−2i3−2i311122-2-222-1-1-1-122000−i3−i3i3i3−2i32i300-2-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-44400-4444-4-4-4-40000004000004-4-4-4400000000-44000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-200-444-22-42-42323−23−2300-200000-222-44−2323002323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ6944-4-44-200-444-22-42-4−23−23232300-200000-222-4423−2300−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
χ7044-4-4-24004-4-24-42-4200004-4-20-22-22-222-22000000004-404-4-22-2200000-22000000000000000000000000000000000000000000000
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χ7544-4-4-2-2004-4-2-222222323−23−23-44102-22-21-1-1-2223−2300−3−333-2202-2-11-1100−232301-1−333−33−3000000000000000000000000000000000000000
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χ7744-4-4-2-2004-4-2-22222−23−232323-44102-22-21-1-1-22−23230033−3−3-2202-2-11-110023−2301-13−3−33−33000000000000000000000000000000000000000
χ7844-4-4-2-200-44-2-222222323−23−230010−2i32i32i3−2i31-1-12-2−232300−3−3332-2000i3−i3−i3i300000-113−3−3i3i3i−3i000000000000000000000000000000000000000
χ7944-4-4-2-200-44-2-222222323−23−2300102i3−2i3−2i32i31-1-12-2−232300−3−3332-2000−i3i3i3−i300000-113−33i−3i−3i3i000000000000000000000000000000000000000
χ8044-4-4-2-200-44-2-22222−23−2323230010−2i32i32i3−2i31-1-12-223−230033−3−32-2000i3−i3−i3i300000-11−333i−3i−3i3i000000000000000000000000000000000000000
χ8144-4-4-2-200-44-2-22222−23−23232300102i3−2i3−2i32i31-1-12-223−230033−3−32-2000−i3i3i3−i300000-11−33−3i3i3i−3i000000000000000000000000000000000000000
χ824-44-4440000-4-44-4-44000000400000-44-40000000000000000000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000
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χ854-44-44-20000-42-2-42423−2323−2300-2000002-2200000023−2323−230000000000000000000000000000002i2−2i20000−i6i6−i6i6−i2i2−i2i200000000000000000
χ864-44-44-20000-42-2-424−2323−232300-2000002-22000000−2323−2323000000000000000000000000000000−2i22i20000−i6i6−i6i6i2−i2i2−i200000000000000000
χ874-44-44-20000-42-2-424−2323−232300-2000002-22000000−2323−23230000000000000000000000000000002i2−2i20000i6−i6i6−i6−i2i2−i2i200000000000000000
χ884-4-44444-400-4-4-444-44-4-4400400000-4-4400004-44-4-440000000000000000000000000000000000000000000000000000000000000
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χ914-4-444-24-400-4224-2-4-222-200-20000022-200004-4-222-2000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000
χ924-4-444-2-4400-4224-2-42-2-2200-20000022-20000-442-2-22000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000
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χ944-4-44-244-4002-4-4-2424-4-4400-20000022-20000-22-222-20000000000000000000000000000000023−2323−230000000000000000000000000
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χ974-4-44-24-44002-4-4-242-444-400-20000022-200002-22-2-2200000000000000000000000000000000−232323−230000000000000000000000000
χ988-88-8-4800004-884-8-4000000-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000044-444-443−4343−4300200000-22-2000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4000044-444-4−4343−434300200000-22-200000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-800444-4-44-444-400200000-2-220000-442-2-220000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-8800444-4-444-4-4400200000-2-2200004-4-222-20000000000000000000000000000000000000000000000000000000000000

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