Finite Group Databasebeta

← Group #11868109

Character table — Group #11868109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222244444444444444444444444444444444466668888888888888888812121212121212121212121212121212121212121212242424244848484872727272
order122334466121223466666888812121212121212242424242424242424242424242422446666121212122424242424242424242466668888121212122424242424242424248861224242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ61111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ71111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-11-11-1-11-11
χ81111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11-11-111-11-1
χ911111111111-11-111-1-1111-1-11-1-111111111-1-1-1-11111111111-11-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111-11-111-1-1111-1-11-1-111111111-1-1-1-11111111111-11-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111111-11-111-1-1111-1-11-1-111111111-1-1-1-1111111-1-1-1-1-11-1-1-11-1-1111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111111-11-111-1-1111-1-11-1-111111111-1-1-1-1111111-1-1-1-1-11-1-1-11-1-1111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111111-11-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-111-1-11
χ1411111111111-11-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-111-1
χ1511111111111-11-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-11-111-1
χ1611111111111-11-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-111-1-111-11-1-11
χ1722222-2-222-2-202022002002i−2i-200-2-2-2-200002i2i−2i−2i00000022-2-202000-2000002i2i2i−2i−2i−2i002200002i−2i-2-20000002i2i−2i−2i000000000000
χ1822222-2-222-2-202022002002i−2i-200-2-2-2-200002i2i−2i−2i000000-2-22202000-2000002i2i2i−2i−2i−2i00-2-20000−2i2i22000000−2i−2i2i2i000000000000
χ1922222-2-222-2-20202200200−2i2i-200-2-2-2-20000−2i−2i2i2i00000022-2-202000-200000−2i−2i−2i2i2i2i00220000−2i2i-2-2000000−2i−2i2i2i000000000000
χ2022222-2-222-2-20202200200−2i2i-200-2-2-2-20000−2i−2i2i2i000000-2-22202000-200000−2i−2i−2i2i2i2i00-2-200002i−2i220000002i2i−2i−2i000000000000
χ212222-1222-1222-122-122-12222222-1-1-1-122222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000002222-1-1-1-10000
χ222222-1222-1222-122-122-12222222-1-1-1-122222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-211110000
χ232222-1222-1222-122-122-1-2-2-2-2222-1-1-1-1-2-2-2-2-2-2-2-21111110000-1-1-1-1-1-1-1-111111111100000000000000000000002-22-2-11-110000
χ242222-1222-1222-122-122-1-2-2-2-2222-1-1-1-1-2-2-2-2-2-2-2-21111110000-1-1-1-1-1-1-1-11111111110000000000000000000000-22-221-11-10000
χ252222-1222-122-2-1-22-1-2-2-122-2-22-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-100001-1111-111-1-1-1111111000000000000000000000022-2-2-1-1110000
χ262222-1222-122-2-1-22-1-2-2-122-2-22-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-100001-1111-111-1-1-11111110000000000000000000000-2-22211-1-10000
χ272222-1222-122-2-1-22-1-2-2-1-2-2222-2-2-1-1-1-1-2-2-2-2222211111100001-1111-111111-1-1-1-1-1-100000000000000000000002-2-22-111-10000
χ282222-1222-122-2-1-22-1-2-2-1-2-2222-2-2-1-1-1-1-2-2-2-2222211111100001-1111-111111-1-1-1-1-1-10000000000000000000000-222-21-1-110000
χ29222-1222-12-1-12-12-12-1-1-12222-1-1-12-1-12-1-1-1-1-1-1-1-122-1-1-1-122222-1-1-12-1-1-12-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ30222-1222-12-1-12-12-12-1-1-12222-1-1-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-12-1-12-1-1-2-21111-2-2-2-2111111111111000000000000
χ31222-1222-12-1-12-12-12-1-1-1-2-2-2-2-1-1-12-1-1211111111-2-2111122222-1-1-12-1-1-1-211-211-21122-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ32222-1222-12-1-12-12-12-1-1-1-2-2-2-2-1-1-12-1-1211111111-2-21111-2-2-2-22-1-1-12-1-1-1-211-211-211-2-2111122221111-1-1-1-1-1-1-1-1000000000000
χ33222-1222-12-1-1-2-1-2-1211-122-2-2-1112-1-12-1-1-1-1111122-1-1-1-12222-2-111-2-1112-1-1-211-211-2-2-1-11122-2-2-1-111-1-1-1-11111000000000000
χ34222-1222-12-1-1-2-1-2-1211-122-2-2-1112-1-12-1-1-1-1111122-1-1-1-1-2-2-2-2-2-111-2-1112-1-1-211-2112211-1-1-2-22211-1-11111-1-1-1-1000000000000
χ35222-1222-12-1-1-2-1-2-1211-1-2-222-1112-1-121111-1-1-1-1-2-211112222-2-111-2-111-2112-1-12-1-1-2-2-1-111-2-222-1-1111111-1-1-1-1000000000000
χ36222-1222-12-1-1-2-1-2-1211-1-2-222-1112-1-121111-1-1-1-1-2-21111-2-2-2-2-2-111-2-111-2112-1-12-1-12211-1-122-2-211-1-1-1-1-1-11111000000000000
χ37222-12-2-2-12110-10-12−i3i3-1002i−2i1−i3i3-211-233−3−3−i−iii0033−3−322-2-20-1−i3i301−i3i303−32i−i−i−2iii00-1-1−i3i3002i−2i11−i3i333−3−3−i−iii000000000000
χ38222-12-2-2-12110-10-12−i3i3-1002i−2i1−i3i3-211-233−3−3−i−iii0033−3−3-2-2220-1−i3i301−i3i303−32i−i−i−2iii0011i3−i300−2i2i-1-1i3−i3−3−333ii−i−i000000000000
χ39222-12-2-2-12110-10-12−i3i3-100−2i2i1−i3i3-211-2−3−333ii−i−i00−3−33322-2-20-1−i3i301−i3i30−33−2iii2i−i−i00-1-1−i3i300−2i2i11−i3i3−3−333ii−i−i000000000000
χ40222-12-2-2-12110-10-12−i3i3-100−2i2i1−i3i3-211-2−3−333ii−i−i00−3−333-2-2220-1−i3i301−i3i30−33−2iii2i−i−i0011i3−i3002i−2i-1-1i3−i333−3−3−i−iii000000000000
χ41222-12-2-2-12110-10-12i3−i3-1002i−2i1i3−i3-211-2−3−333−i−iii00−3−33322-2-20-1i3−i301i3−i30−332i−i−i−2iii00-1-1i3−i3002i−2i11i3−i3−3−333−i−iii000000000000
χ42222-12-2-2-12110-10-12i3−i3-1002i−2i1i3−i3-211-2−3−333−i−iii00−3−333-2-2220-1i3−i301i3−i30−332i−i−i−2iii0011−i3i300−2i2i-1-1−i3i333−3−3ii−i−i000000000000
χ43222-12-2-2-12110-10-12i3−i3-100−2i2i1i3−i3-211-233−3−3ii−i−i0033−3−322-2-20-1i3−i301i3−i303−3−2iii2i−i−i00-1-1i3−i300−2i2i11i3−i333−3−3ii−i−i000000000000
χ44222-12-2-2-12110-10-12i3−i3-100−2i2i1i3−i3-211-233−3−3ii−i−i0033−3−3-2-2220-1i3−i301i3−i303−3−2iii2i−i−i0011−i3i3002i−2i-1-1−i3i3−3−333−i−iii000000000000
χ4522-2222-22222020-2-20022-200-200222-22-22-200002222222-22-20-2000-200-2-2-2000000002-2002-2002-2002-22-20000000000000000
χ4622-2222-22222020-2-20022-200-200222-22-22-20000222222-22-220-2000-200-2-2-200000000-2200-2200-2200-22-220000000000000000
χ4722-2222-22222020-2-2002-2200-200222-2-22-220000-2-2-2-2-2-22-22-20-2000-200222000000002-200-22002-200-22-220000000000000000
χ4822-2222-22222020-2-2002-2200-200222-2-22-220000-2-2-2-2-2-2-22-220-2000-20022200000000-22002-200-22002-22-20000000000000000
χ4922-222-2222-2-222-2-2-222200002-2-2-2-2-22000000000000002-2-222-222-22-2-20000000002-22-2220000-22-2-200000000000000000000
χ5022-222-2222-2-222-2-2-222200002-2-2-2-2-2200000000000000-222-22-222-22-2-2000000000-22-22-2-200002-22200000000000000000000
χ5122-222-2222-2-2-222-2-2-2-220000222-2-2-22000000000000002-2-22-2-2-2-22222000000000-222-2-2-20000-222200000000000000000000
χ5222-222-2222-2-2-222-2-2-2-220000222-2-2-2200000000000000-222-2-2-2-2-222220000000002-2-222200002-2-2-200000000000000000000
χ5322-2-122-2-12-1-10-101-2−i3i3-12-2001i3−i32-1-1-2-11-11−i3i3−i3i322-1-1-1-12-22-201−i3i301i3−i3-2110−i3i30−i3i300-11−i3i32-200-11i3−i3-11-11−i3i3−i3i3000000000000
χ5422-2-122-2-12-1-10-101-2−i3i3-12-2001i3−i32-1-1-2-11-11−i3i3−i3i322-1-1-1-1-22-2201−i3i301i3−i3-2110−i3i30−i3i3001-1i3−i3-22001-1−i3i31-11-1i3−i3i3−i3000000000000
χ5522-2-122-2-12-1-10-101-2−i3i3-1-22001i3−i32-1-1-21-11-1i3−i3i3−i3-2-211112-22-201−i3i301i3−i32-1-10i3−i30i3−i300-11−i3i3-2200-11i3−i31-11-1i3−i3i3−i3000000000000
χ5622-2-122-2-12-1-10-101-2−i3i3-1-22001i3−i32-1-1-21-11-1i3−i3i3−i3-2-21111-22-2201−i3i301i3−i32-1-10i3−i30i3−i3001-1i3−i32-2001-1−i3i3-11-11−i3i3−i3i3000000000000
χ5722-2-122-2-12-1-10-101-2i3−i3-12-2001−i3i32-1-1-2-11-11i3−i3i3−i322-1-1-1-12-22-201i3−i301−i3i3-2110i3−i30i3−i300-11i3−i32-200-11−i3i3-11-11i3−i3i3−i3000000000000
χ5822-2-122-2-12-1-10-101-2i3−i3-12-2001−i3i32-1-1-2-11-11i3−i3i3−i322-1-1-1-1-22-2201i3−i301−i3i3-2110i3−i30i3−i3001-1−i3i3-22001-1i3−i31-11-1−i3i3−i3i3000000000000
χ5922-2-122-2-12-1-10-101-2i3−i3-1-22001−i3i32-1-1-21-11-1−i3i3−i3i3-2-211112-22-201i3−i301−i3i32-1-10−i3i30−i3i300-11i3−i3-2200-11−i3i31-11-1−i3i3−i3i3000000000000
χ6022-2-122-2-12-1-10-101-2i3−i3-1-22001−i3i32-1-1-21-11-1−i3i3−i3i3-2-21111-22-2201i3−i301−i3i32-1-10−i3i30−i3i3001-1−i3i32-2001-1i3−i3-11-11i3−i3i3−i3000000000000
χ6122-2-12-22-12112-1-21-2-1-1-10000-111-21123−3−333−3−330033−3−32-2-2221-1-1-2-1110−3303−30−332-2-11-1-100001-1113−3−333−3−33000000000000
χ6222-2-12-22-12112-1-21-2-1-1-10000-111-21123−3−333−3−330033−3−3-222-221-1-1-2-1110−3303−30−33-221-1110000-11-1-1−333−3−333−3000000000000
χ6322-2-12-22-12112-1-21-2-1-1-10000-111-2112−333−3−333−300−3−3332-2-2221-1-1-2-11103−30−3303−32-2-11-1-100001-111−333−3−333−3000000000000
χ6422-2-12-22-12112-1-21-2-1-1-10000-111-2112−333−3−333−300−3−333-222-221-1-1-2-11103−30−3303−3-221-1110000-11-1-13−3−333−3−33000000000000
χ6522-2-12-22-1211-2-121-211-10000-1-1-1-21123−3−33−333−30033−3−32-2-22-21112-1-1-10−330−3303−3-22-111100001-1-1-13−3−33−333−3000000000000
χ6622-2-12-22-1211-2-121-211-10000-1-1-1-21123−3−33−333−30033−3−3-222-2-21112-1-1-10−330−3303−32-21-1-1-10000-1111−333−33−3−33000000000000
χ6722-2-12-22-1211-2-121-211-10000-1-1-1-2112−333−33−3−3300−3−3332-2-22-21112-1-1-103−303−30−33-22-111100001-1-1-1−333−33−3−33000000000000
χ6822-2-12-22-1211-2-121-211-10000-1-1-1-2112−333−33−3−3300−3−333-222-2-21112-1-1-103−303−30−332-21-1-1-10000-11113−3−33−333−3000000000000
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χ704444-2-4-44-2-4-40-204-200-200−4i4i-40022220000−4i−4i4i4i00000000000-20002000002i2i2i−2i−2i−2i0000000000000000000000000000000000
χ71444-2-244-2-2-2-2414-2-2-2-214444-2-2-2-211-2-2-2-2-2-2-2-2-2-2-211110000-2111-2111-211-211-2110000000000000000000000000000000000
χ72444-2-244-2-2-2-2414-2-2-2-21-4-4-4-4-2-2-2-211-22222222222-1-1-1-10000-2111-21112-1-12-1-12-1-10000000000000000000000000000000000
χ73444-2-244-2-2-2-2-41-4-2-222144-4-4-222-211-2-2-2-2-22222-2-21111000021-1-121-1-1-2112-1-12-1-10000000000000000000000000000000000
χ74444-2-244-2-2-2-2-41-4-2-2221-4-444-222-211-22222-2-2-2-222-1-1-1-1000021-1-121-1-12-1-1-211-2110000000000000000000000000000000000
χ75444-2-2-4-4-2-222010-2-2−2i32i31004i−4i2−2i32i32-1-122323−23−23−2i−2i2i2i00−3−333000001i3−i30-1i3−i30−33−2iii2i−i−i0000000000000000000000000000000000
χ76444-2-2-4-4-2-222010-2-2−2i32i3100−4i4i2−2i32i32-1-12−23−2323232i2i−2i−2i0033−3−3000001i3−i30-1i3−i303−32i−i−i−2iii0000000000000000000000000000000000
χ77444-2-2-4-4-2-222010-2-22i3−2i31004i−4i22i3−2i32-1-12−23−232323−2i−2i2i2i0033−3−3000001−i3i30-1−i3i303−3−2iii2i−i−i0000000000000000000000000000000000
χ78444-2-2-4-4-2-222010-2-22i3−2i3100−4i4i22i3−2i32-1-122323−23−232i2i−2i−2i00−3−333000001−i3i30-1−i3i30−332i−i−i−2iii0000000000000000000000000000000000
χ7944-44-24-44-2440-20-4200-24-400-400-2-2-224-44-40000-2-2-2-2-2-20000020002002220000000000000000000000000000000000000000
χ8044-44-24-44-2440-20-4200-2-4400-400-2-2-22-44-440000222222000002000200-2-2-20000000000000000000000000000000000000000
χ8144-44-2-444-2-4-44-2-4-4244-200004-4-4222-2000000000000000000-22-2-22-2220000000000000000000000000000000000000000000
χ8244-44-2-444-2-4-4-4-24-42-4-4-20000444222-20000000000000000002222-2-2-2-20000000000000000000000000000000000000000000
χ8344-4-2-24-4-2-2-2-201022−2i32i314-40022i3−2i3-2112-22-22−2i32i3−2i32i3-2-2111100000-1i3−i30-1−i3i32-1-10i3−i30i3−i30000000000000000000000000000000000
χ8444-4-2-24-4-2-2-2-201022−2i32i31-440022i3−2i3-21122-22-22i3−2i32i3−2i322-1-1-1-100000-1i3−i30-1−i3i3-2110−i3i30−i3i30000000000000000000000000000000000
χ8544-4-2-24-4-2-2-2-2010222i3−2i314-4002−2i32i3-2112-22-222i3−2i32i3−2i3-2-2111100000-1−i3i30-1i3−i32-1-10−i3i30−i3i30000000000000000000000000000000000
χ8644-4-2-24-4-2-2-2-2010222i3−2i31-44002−2i32i3-21122-22-2−2i32i3−2i32i322-1-1-1-100000-1−i3i30-1i3−i3-2110i3−i30i3−i30000000000000000000000000000000000
χ8744-4-2-2-44-2-22241-422-2-210000-2222-1-1-223−23−232323−23−232300−3−3330000-2-11121-1-103−30−3303−30000000000000000000000000000000000
χ8844-4-2-2-44-2-22241-422-2-210000-2222-1-1-2−232323−23−232323−230033−3−30000-2-11121-1-10−3303−30−330000000000000000000000000000000000
χ8944-4-2-2-44-2-222-414222210000-2-2-22-1-1-223−23−2323−232323−2300−3−33300002-1-1-1-211103−303−30−330000000000000000000000000000000000
χ9044-4-2-2-44-2-222-414222210000-2-2-22-1-1-2−232323−2323−23−23230033−3−300002-1-1-1-21110−330−3303−30000000000000000000000000000000000
χ918-808800-8-8000800000-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-808-400-84000-4000004000000000000000000026−2626−2626−260000000000000000000000000000000000000000000000000000000
χ938-808-400-84000-40000040000000000000000000−2626−2626−26260000000000000000000000000000000000000000000000000000000
χ948-80-48004-843−430-40000040000000043−430000000000000000000000000000000000000000000000000000000000000000000000
χ958-80-48004-8−43430-400000400000000−43430000000000000000000000000000000000000000000000000000000000000000000000
χ968-80-4-4004443−430200000-200000000−232300000000026−26−4ζ5+4ζ7−2ζ13+2ζ234ζ5−4ζ7+2ζ13−2ζ232ζ5−2ζ7+4ζ13−4ζ23−2ζ5+2ζ7−4ζ13+4ζ230000000000000000000000000000000000000000000000000000000
χ978-80-4-4004443−430200000-200000000−2323000000000−26264ζ5−4ζ7+2ζ13−2ζ23−4ζ5+4ζ7−2ζ13+2ζ23−2ζ5+2ζ7−4ζ13+4ζ232ζ5−2ζ7+4ζ13−4ζ230000000000000000000000000000000000000000000000000000000
χ988-80-4-40044−43430200000-20000000023−2300000000026−262ζ5−2ζ7+4ζ13−4ζ23−2ζ5+2ζ7−4ζ13+4ζ23−4ζ5+4ζ7−2ζ13+2ζ234ζ5−4ζ7+2ζ13−2ζ230000000000000000000000000000000000000000000000000000000
χ998-80-4-40044−43430200000-20000000023−23000000000−2626−2ζ5+2ζ7−4ζ13+4ζ232ζ5−2ζ7+4ζ13−4ζ234ζ5−4ζ7+2ζ13−2ζ23−4ζ5+4ζ7−2ζ13+2ζ230000000000000000000000000000000000000000000000000000000

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