Finite Group Databasebeta

← Group #11784934

Character table — Group #11784934

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1244222334446666121212121212366666666121212121212121212668812122424242424242424242424242424242422224444888824242424242424244466661212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i111-1-1-11-1ii−i−iiiii−i−i−i−ii−i111-1-1-11-1ii−i−i1-11-1i−i
χ1011-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-11-1-1-11ii−i−iiiii−i−i−i−i−ii11-11-1-1-11−i−iii-11-11−ii
χ1111-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-11-1111-1−i−iii−i−i−i−iiiiii−i-1-11-1111-1ii−i−i-11-11−ii
χ1211-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-1-1111-11−i−iii−i−i−i−iiiii−ii-1-1-1111-11−i−iii1-11-1i−i
χ1311-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii111-1-1-11-1−i−iii−i−i−i−iiiii−ii111-1-1-11-1−i−iii1-11-1−ii
χ1411-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-11-1-1-11−i−iii−i−i−i−iiiiii−i11-11-1-1-11ii−i−i-11-11i−i
χ1511-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-11-1111-1ii−i−iiiii−i−i−i−i−ii-1-11-1111-1−i−iii-11-11i−i
χ1611-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-1-1111-11ii−i−iiiii−i−i−i−ii−i-1-1-1111-11ii−i−i1-11-1−ii
χ1722222222-1222222-122-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-100-1-1-1-1-1-1000000
χ1822222222-1222222-122-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001100111111000000
χ1922222222-1222222-122-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-2111111111100220022000000000000-2-200-1-100-1-11111000000
χ2022222222-1222222-122-1-122-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-2111111111100-2-200-2-20000000000002200110011-1-1-1-1000000
χ212222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-100-1-1000000000000
χ222222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111100110011000000000000
χ232222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-1-1222-1-1-1-1-1-1-2-2-1-111-2-211-2-21111111122002200-2-2-2-21111111100-1-100-1-1000000000000
χ242222222-12222-1-1-12-1-122-1-1-12-1-12-1-1-12-1-1222-1-1-1-1-1-1-2-2-1-111-2-211-2-211111111-2-200-2-2002222-1-1-1-1-1-1-1-100110011000000000000
χ2522222-2-222-2-22222222222222-2-2-2222-2-2-2-2-222222-2-200-2-200000000000000002-2002-200000000000000002-2002-2000000000000
χ2622222-2-222-2-22222222222222-2-2-2222-2-2-2-2-222222-2-200-2-20000000000000000-2200-220000000000000000-2200-22000000000000
χ2722222-2-2-12-2-22-1-1-12-1-122-1-1-1211-2-1-1-1-211-2-22-1-1-1-1110011−i3i300−i3i300−i3−i3i3i3−i3−i3i3i32-2002-2000000−i3−i3i3i3−i3−i3i3i300-1100-11000000000000
χ2822222-2-2-12-2-22-1-1-12-1-122-1-1-1211-2-1-1-1-211-2-22-1-1-1-1110011−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3-2200-22000000i3i3−i3−i3i3i3−i3−i3001-1001-1000000000000
χ2922222-2-2-12-2-22-1-1-12-1-122-1-1-1211-2-1-1-1-211-2-22-1-1-1-1110011i3−i300i3−i300i3i3−i3−i3i3i3−i3−i32-2002-2000000i3i3−i3−i3i3i3−i3−i300-1100-11000000000000
χ3022222-2-2-12-2-22-1-1-12-1-122-1-1-1211-2-1-1-1-211-2-22-1-1-1-1110011i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3-2200-22000000−i3−i3i3i3−i3−i3i3i3001-1001-1000000000000
χ312222-22-2222-2-2-2-2222222-2-22-22-2-2-2-2222-22-2-2-2-2222-2002-20000000000000000002-200-2200000000000000002-200-220000000000
χ322222-22-2222-2-2-2-2222222-2-22-22-2-2-2-2222-22-2-2-2-2222-2002-2000000000000000000-22002-20000000000000000-22002-20000000000
χ332222-22-22-12-2-2-2-22-122-1-1-2-2-112-2111-1-12-2-11111-1-1-1100-1100−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3002-200-220000000000000000-11001-1−i3i3−i3i3000000
χ342222-22-22-12-2-2-2-22-122-1-1-2-2-112-2111-1-12-2-11111-1-1-1100-1100−i3i300−i3i3−i3i3−i3i3−i3i3−i3i300-22002-200000000000000001-100-11i3−i3i3−i3000000
χ352222-22-22-12-2-2-2-22-122-1-1-2-2-112-2111-1-12-2-11111-1-1-1100-1100i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3002-200-220000000000000000-11001-1i3−i3i3−i3000000
χ362222-22-22-12-2-2-2-22-122-1-1-2-2-112-2111-1-12-2-11111-1-1-1100-1100i3−i300i3−i3i3−i3i3−i3i3−i3i3−i300-22002-200000000000000001-100-11−i3i3−i3i3000000
χ372222-2-2222-22-2-2-2222222-2-22-2-222-2-22-2-22-22-2-2-222-2200-22000000000000000000000000000000000000000000000000002-2-2200
χ382222-2-2222-22-2-2-2222222-2-22-2-222-2-22-2-22-22-2-2-222-2200-2200000000000000000000000000000000000000000000000000-222-200
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-200000000000000002-200-2200000000000000002-200-22000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22002-20000000000000000-22002-2000000000000
χ4122-2-2222-12-2-2-2-1-1-1211-2-211-12-1-12-1-1-1211-2-2-21111-1-100113−300−330033−3−3−3−3332-200-2200000033−3−3−3−33300-11001-1000000000000
χ4222-2-2222-12-2-2-2-1-1-1211-2-211-12-1-12-1-1-1211-2-2-21111-1-100113−300−330033−3−3−3−333-22002-2000000−3−33333−3−3001-100-11000000000000
χ4322-2-2222-12-2-2-2-1-1-1211-2-211-12-1-12-1-1-1211-2-2-21111-1-10011−33003−300−3−33333−3−32-200-22000000−3−33333−3−300-11001-1000000000000
χ4422-2-2222-12-2-2-2-1-1-1211-2-211-12-1-12-1-1-1211-2-2-21111-1-10011−33003−300−3−33333−3−3-22002-200000033−3−3−3−333001-100-11000000000000
χ4522-2-22-2-22-122-2222-1-2-211-2-2-1-1-2-21-1-1-1122-1-111111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii002-2002-20000000000002i−2i00-1100-11−i−iii000000
χ4622-2-22-2-22-122-2222-1-2-211-2-2-1-1-2-21-1-1-1122-1-111111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00-2200-22000000000000−2i2i001-1001-1ii−i−i000000
χ4722-2-22-2-22-122-2222-1-2-211-2-2-1-1-2-21-1-1-1122-1-11111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i002-2002-2000000000000−2i2i00-1100-11ii−i−i000000
χ4822-2-22-2-22-122-2222-1-2-211-2-2-1-1-2-21-1-1-1122-1-11111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00-2200-220000000000002i−2i001-1001-1−i−iii000000
χ4922-2-22-2-2-1222-2-1-1-1211-2-211-1211-2-1-1-1-2-1-122-21111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii2200-2-2002i2i−2i−2i−i−i−i−iiiii00-1-10011000000000000
χ5022-2-22-2-2-1222-2-1-1-1211-2-211-1211-2-1-1-1-2-1-122-21111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii-2-2002200−2i−2i2i2iiiii−i−i−i−i001100-1-1000000000000
χ5122-2-22-2-2-1222-2-1-1-1211-2-211-1211-2-1-1-1-2-1-122-2111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i2200-2-200−2i−2i2i2iiiii−i−i−i−i00-1-10011000000000000
χ5222-2-22-2-2-1222-2-1-1-1211-2-211-1211-2-1-1-1-2-1-122-2111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-20022002i2i−2i−2i−i−i−i−iiiii001100-1-1000000000000
χ5322-2-2-22-222-222-2-222-2-2-2-2222-22-2-2-2-222-22-22222-2-22-200-220000000000000000000000000000000000000000000000000022-2-200
χ5422-2-2-22-222-222-2-222-2-2-2-2222-22-2-2-2-222-22-22222-2-22-200-2200000000000000000000000000000000000000000000000000-2-22200
χ5522-2-2-2-22222-22-2-222-2-2-2-2222-2-222-2-22-22-22-2222-2-2-22002-20000000000000000002200-2-200000000000000002200-2-20000000000
χ5622-2-2-2-22222-22-2-222-2-2-2-2222-2-222-2-22-22-22-2222-2-2-22002-2000000000000000000-2-200220000000000000000-2-200220000000000
χ5722-2-2-2-222-12-22-2-22-1-2-21122-11-22-111-112-2-11-1-1-1111-100-11003−300−333−33−3−33−33002200-2-20000000000000000-1-100113−3−33000000
χ5822-2-2-2-222-12-22-2-22-1-2-21122-11-22-111-112-2-11-1-1-1111-100-11003−300−333−33−3−33−3300-2-2002200000000000000001100-1-1−333−3000000
χ5922-2-2-2-222-12-22-2-22-1-2-21122-11-22-111-112-2-11-1-1-1111-100-1100−33003−3−33−333−33−3002200-2-20000000000000000-1-10011−333−3000000
χ6022-2-2-2-222-12-22-2-22-1-2-21122-11-22-111-112-2-11-1-1-1111-100-1100−33003−3−33−333−33−300-2-2002200000000000000001100-1-13−3−33000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2111111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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χ6544444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-21-222211122222-21111-1-100-1-12i3−2i3002i3−2i300−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
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χ684444-44-4-2-24-4-422-2-2-2-2-2-22212-222-1-11-2-22-222-1-1111-1001-1002i3−2i3002i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
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χ7644-4-44-4-4-2-244-4-2-2-2-22222221-22221112-2-2-2-22-1-1-1-1-1-14i−4i11−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i0000000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-2-2-22222221-22221112-2-2-2-22-1-1-1-1-1-1−4i4i112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii0000000000000000000000000000000000000000
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χ8144-4-4-44-4-2-2-44422-2-22222-2-212-222-1-11-22-22-2-211-1-11-100-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
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χ8444-4-4-4-44-2-24-4422-2-22222-2-2122-2-2-1-112-22-22-211-1-1-11001-100−23230023−233−33−3−33−330000000000000000000000000000000000000000
χ854-44i−4i0004400000-4-44i−4i4i−4i004000000-4000000004i−4i0000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
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χ874-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i3200000023−23−2i2i0000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000
χ884-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i3200000023−23−2i2i000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000
χ894-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i32000000−2323−2i2i0000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ1300000000000000000000
χ904-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i32000000−2323−2i2i000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ1300000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000−4i4i000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000−4i4i0000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000000−23232i−2i000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000000−23232i−2i0000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200000023−232i−2i000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200000023−232i−2i0000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-4000000400000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-2000000−23232i−2i00000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-200000023−232i−2i00000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-40000004000000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-200000023−23−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-2000000−2323−2i2i00000000000000000000000000000000000000000000000000000000000000

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