Finite Group Databasebeta

← Group #11897662

Character table — Group #11897662

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order122233444466666612121212344444666121212121212121212121212121212121212121212121212121212121212121212121222666688882424242424242424444881212121212122424242444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1
χ6111111111111111111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-111
χ7111111111111111111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1
χ9111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-11-1-1-111-1-111-1-111-11-1
χ10111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-11-1-111-1-1-1-111-1-11-11
χ11111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-111-1-11111-1-1-1-11-11
χ12111111-1-111111111111111-1-11-111111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1111-1-111-1-11111-11-1
χ13111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-11
χ14111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111-1
χ15111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111-1-1-1-111-1-111-1
χ16111111-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-11111-1-111-1-111-1-11
χ1722222222-2-2222222-2-2-2-2222-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-22-22-222-222-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-2-2-222222-2-222-2-2222222-2-2-2-2-22-22-2-2-222-2-2-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222-22-22222-2-2-2-222-2-2-2-222-2-2-2-22-2-222-22-2-22222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22-2222-2222-2-2-2-222-2-222-2-2-2-2-2-2-222-2-222-2-222-2-22222-2-200000000000000000000000000000000000000
χ2122222-122222-122-1-12222-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000000022200-1-1-1-1-1-1000000000
χ2222222-122222-122-1-12222-122222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-200111111000000000
χ2322222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-12222-1-11111-1-1-1-1-2-2-2-211-1-1-1-1-11111111122-1-1-1-10000000000002-2-200-1-11111000000000
χ2422222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-12222-1-11111-1-1-1-1-2-2-2-211-1-1-1-1-111111111-2-21111000000000000-2220011-1-1-1-1000000000
χ2522222-122-2-22-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-2-2-1-1111111112-22-2-1-11-1-111-1-111-1-11100−i3−i3i3i300000000000000000−i3i3−i3i3−i3i3000000000
χ2622222-122-2-22-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-2-2-1-1111111112-22-2-1-11-1-111-1-111-1-11100i3i3−i3−i300000000000000000i3−i3i3−i3i3−i3000000000
χ2722222-122-2-22-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-2-2-1-1-1-1-1-11111-22-22111-1-11111-1-111-1-100−i3−i3i3i300000000000000000−i3i3i3−i3i3−i3000000000
χ2822222-122-2-22-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-2-2-1-1-1-1-1-11111-22-22111-1-11111-1-111-1-100i3i3−i3−i300000000000000000i3−i3−i3i3−i3i3000000000
χ2922222-1-2-2222-122-1-12222-12-2-22-2-1-1-1-1-1-2-2-2-211-1-111-1-1-1-122-2-2-1111111-1-1-1-1111122-1-1-1-1000000000000-22-20011-1-111000000000
χ3022222-1-2-2222-122-1-12222-12-2-22-2-1-1-1-1-1-2-2-2-211-1-111-1-1-1-122-2-2-1111111-1-1-1-11111-2-211110000000000002-2200-1-111-1-1000000000
χ3122222-1-2-2222-122-1-12222-1-22-2-22-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-2-2221-1111111111-1-1-1-122-1-1-1-1000000000000-2-22001111-1-1000000000
χ3222222-1-2-2222-122-1-12222-1-22-2-22-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-2-2221-1111111111-1-1-1-1-2-2111100000000000022-200-1-1-1-111000000000
χ3322222-1-2-2-2-22-122-1-1-2-2-2-2-12-22-22-1-1-111-2-2221111-1-111112-2-22-11-111-1-1-1-11111-1-100−i3−i3i3i300000000000000000i3−i3−i3i3i3−i3000000000
χ3422222-1-2-2-2-22-122-1-1-2-2-2-2-12-22-22-1-1-111-2-2221111-1-111112-2-22-11-111-1-1-1-11111-1-100i3i3−i3−i300000000000000000−i3i3i3−i3−i3i3000000000
χ3522222-1-2-2-2-22-122-1-1-2-2-2-2-1-2222-2-1-1-111-2-22211-1-1111111-222-21-1-111-1-111-1-1-1-11100−i3−i3i3i300000000000000000i3−i3i3−i3−i3i3000000000
χ3622222-1-2-2-2-22-122-1-1-2-2-2-2-1-2222-2-1-1-111-2-22211-1-1111111-222-21-1-111-1-111-1-1-1-11100i3i3−i3−i300000000000000000−i3i3−i3i3i3−i3000000000
χ372222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100022000000-1-1-1-100000
χ382222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-211111111000-2-2000000111100000
χ392222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-11111-2-22-1-1-1-1111111110000002222-1-1-1-1-1-1-1-1000-2-2000000111100000
χ402222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-1-1-122-2-2-2-2-1-1-1-11111-2-22-1-1-1-111111111000000-2-2-2-21111111100022000000-1-1-1-100000
χ412222-1222-2-2-12-1-1221111-122-2-2-2-1-1-1-2-2-1-11122-2-2-2-21111-11-1122-2-1-111-1-111-1-111000000000033−3−333−3−3000000000003−33−300000
χ422222-1222-2-2-12-1-1221111-122-2-2-2-1-1-1-2-2-1-11122-2-2-2-21111-11-1122-2-1-111-1-111-1-1110000000000−3−333−3−33300000000000−33−3300000
χ432222-1222-2-2-12-1-1221111-1-2-2-222-1-1-1-2-2-1-11122222211111-11-1-2-2-2-1-11111-1-111-1-1000000000033−3−333−3−300000000000−33−3300000
χ442222-1222-2-2-12-1-1221111-1-2-2-222-1-1-1-2-2-1-11122222211111-11-1-2-2-2-1-11111-1-111-1-10000000000−3−333−3−333000000000003−33−300000
χ452222-12-2-222-12-1-122-1-1-1-1-12-2-22-2-1-1-1221111-2-222-2-2-1-1-1-1-1-1112-2-21111-1-1-1-1111100000022-2-2-1-1-1-111110002-2000000-1-11100000
χ462222-12-2-222-12-1-122-1-1-1-1-12-2-22-2-1-1-1221111-2-222-2-2-1-1-1-1-1-1112-2-21111-1-1-1-11111000000-2-2221111-1-1-1-1000-2200000011-1-100000
χ472222-12-2-222-12-1-122-1-1-1-1-1-22-2-22-1-1-1221111-2-2-2-222-1-1-1-111-1-1-22-211111111-1-1-1-100000022-2-2-1-1-1-11111000-2200000011-1-100000
χ482222-12-2-222-12-1-122-1-1-1-1-1-22-2-22-1-1-1221111-2-2-2-222-1-1-1-111-1-1-22-211111111-1-1-1-1000000-2-2221111-1-1-1-10002-2000000-1-11100000
χ492222-12-2-2-2-2-12-1-1221111-12-22-22-1-1-1-2-211-1-1-2-2-2-2221111-111-12-2211-1-1-1-11111-1-1000000000033−3−3−3−333000000000003−3−3300000
χ502222-12-2-2-2-2-12-1-1221111-12-22-22-1-1-1-2-211-1-1-2-2-2-2221111-111-12-2211-1-1-1-11111-1-10000000000−3−33333−3−300000000000−333−300000
χ512222-12-2-2-2-2-12-1-1221111-1-2222-2-1-1-1-2-211-1-1-2-222-2-211111-1-11-22211-1-111-1-1-1-111000000000033−3−3−3−33300000000000−333−300000
χ522222-12-2-2-2-2-12-1-1221111-1-2222-2-1-1-1-2-211-1-1-2-222-2-211111-1-11-22211-1-111-1-1-1-1110000000000−3−33333−3−3000000000003−3−3300000
χ532-22-222002-222-2-2-2-222-2-22000002-2-22-2000000000022-2-200000000000000000002-22-22-22-2002-22-200000000000000000002-2000
χ542-22-222002-222-2-2-2-222-2-22000002-2-22-2000000000022-2-200000000000000000002-22-22-2-2200-22-220000000000000000000-22000
χ552-22-222002-222-2-2-2-222-2-22000002-2-22-2000000000022-2-20000000000000000000-22-22-222-2002-22-20000000000000000000-22000
χ562-22-222002-222-2-2-2-222-2-22000002-2-22-2000000000022-2-20000000000000000000-22-22-22-2200-22-2200000000000000000002-2000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-2-2-222221111222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-22222144-4-4-411122-2-222-2-22222-1-1-1-1-22-22-2-2211-1-111-1-111-1-100000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-222221-4-4-44411122-2-222-2-2-2-2-2-2-1-1-1-12-22-222211-1-1-1-111-1-11100000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-2-2-2-214-4-44-4111-2-2222222-2-2221111-2-222-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-44-4-44111-2-222222222-2-2111122-2-22-22-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2222214-44-441112222-2-22222-2-2-1-1-1-1-222-2-22-2-1-11111-1-1-1-11100000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-222221-4444-41112222-2-222-2-222-1-1-1-12-2-222-2-2-1-111-1-11111-1-100000000000000000000000000000000000000
χ6544-4-4444-400-4-44-44-40000400000-44-4004-4004-40000000000000004-4000000000000000000000000000000000000000000000000
χ6644-4-444-4400-4-44-44-40000400000-44-400-4400-44000000000000000-44000000000000000000000000000000000000000000000000
χ6744-4-44-24-400-424-4-220000-2000002-22004-400-2223−2323−2300000000000-22000023−230023−2300000000000000000000000000000000000000
χ6844-4-44-24-400-424-4-220000-2000002-22004-400-22−2323−232300000000000-220000−232300−232300000000000000000000000000000000000000
χ6944-4-44-2-4400-424-4-220000-2000002-2200-44002-223−23−2323000000000002-2000023−2300−232300000000000000000000000000000000000000
χ7044-4-44-2-4400-424-4-220000-2000002-2200-44002-2−232323−23000000000002-20000−23230023−2300000000000000000000000000000000000000
χ7144-4-4-244-4002-4-224-423−2323−23-2000002-2200-2223−234-4000023−2323−230000000-2223−230000000000000000000000000000000000000000000000
χ7244-4-4-244-4002-4-224-4−2323−2323-2000002-2200-22−23234-40000−2323−23230000000-22−23230000000000000000000000000000000000000000000000
χ7344-4-4-24-44002-4-224-423−2323−23-2000002-22002-2−2323-44000023−2323−2300000002-2−23230000000000000000000000000000000000000000000000
χ7444-4-4-24-44002-4-224-4−2323−2323-2000002-22002-223−23-440000−2323−232300000002-223−230000000000000000000000000000000000000000000000
χ7544-4-4-2-24-40022-22-2223−2323−23100000-11-100-2223−23-2223−2323−23−33−3300000001-1−333-3−333-3−3300000000000000000000000000000000000000
χ7644-4-4-2-24-40022-22-2223−2323−23100000-11-100-2223−23-22−2323−2323−33−3300000001-1−33-333−3-333−300000000000000000000000000000000000000
χ7744-4-4-2-24-40022-22-22−2323−2323100000-11-100-22−2323-2223−2323−233−33−300000001-13−3-33−33-33−3300000000000000000000000000000000000000
χ7844-4-4-2-24-40022-22-22−2323−2323100000-11-100-22−2323-22−2323−23233−33−300000001-13−33-33−33-33−300000000000000000000000000000000000000
χ7944-4-4-2-2-440022-22-2223−2323−23100000-11-1002-2−23232-223−23−2323−33−330000000-113−33-3−33-333−300000000000000000000000000000000000000
χ8044-4-4-2-2-440022-22-2223−2323−23100000-11-1002-2−23232-2−232323−23−33−330000000-113−3-333−33-3−3300000000000000000000000000000000000000
χ8144-4-4-2-2-440022-22-22−2323−2323100000-11-1002-223−232-223−23−23233−33−30000000-11−33-33−333-33−300000000000000000000000000000000000000
χ8244-4-4-2-2-440022-22-22−2323−2323100000-11-1002-223−232-2−232323−233−33−30000000-11−333-33−3-33−3300000000000000000000000000000000000000
χ834-44-44400-4444-4-4-4-4-4-4444000004-4-4-440000000000-4-444000000000000000000000000000000000000000000000000000000000
χ844-44-44-2004-44-2-4-42244-4-4-200000-222-220000000000-2-22200000000000000000004-4-22-2200000000000000000000000000000000
χ854-44-44-2004-44-2-4-42244-4-4-200000-222-220000000000-2-2220000000000000000000-442-22-200000000000000000000000000000000
χ864-44-44-200-444-2-4-422-4-444-200000-2222-2000000000022-2-2000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ874-44-44-200-444-2-4-422-4-444-200000-2222-2000000000022-2-20000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ884-44-4-24004-4-2422-4-4-2-222-200000-2224-40000000000-2-22200000000000000000000000004-400-22-22000000000000000000000000
χ894-44-4-24004-4-2422-4-4-2-222-200000-2224-40000000000-2-2220000000000000000000000000-44002-22-2000000000000000000000000
χ904-44-4-2400-44-2422-4-422-2-2-200000-222-44000000000022-2-20000000000000000000000000000023−23−2323000000000000000000000000
χ914-44-4-2400-44-2422-4-422-2-2-200000-222-44000000000022-2-200000000000000000000000000000−232323−23000000000000000000000000
χ924-4-44440000-4-4-44-440000400000-4-44000000000000000000000000000000000000000000022−22000022−2222−2200000000000000000000
χ934-4-44440000-4-4-44-440000400000-4-440000000000000000000000000000000000000000000−22220000−2222−222200000000000000000000
χ944-4-44-2400002-42-2-4423−23−2323-20000022-200000000000023−23−232300000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000
χ954-4-44-2400002-42-2-4423−23−2323-20000022-200000000000023−23−2323000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000
χ964-4-44-2400002-42-2-44−232323−23-20000022-2000000000000−232323−2300000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000
χ974-4-44-2400002-42-2-44−232323−23-20000022-2000000000000−232323−23000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000
χ988-88-8-4-4008-8-4-44444-4-4442000002-2-2-44000000000022-2-2000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400-88-4-4444444-4-42000002-2-24-40000000000-2-222000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-84-884-40000-40000044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000444-44-443−43−4343200000-2-22000000000000−232323−23000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000444-44-4−434343−43200000-2-2200000000000023−23−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.