Finite Group Databasebeta

← Group #11895378

Character table — Group #11895378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212412121212121212122424242424242244881212121224242424121212121244244666612121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-111-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-11111-111-1-1111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-111-1-1-1-1-11-1-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11-1-111-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-11-1-111-1-11-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-111-111111-1-1-1-1-1-11-1-111-1-1-11-1-1-11111-111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-111-1-11-1111-1-1-1-11-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-111-1-111-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-200000000-2-200-2-22200000000022000000000-200-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-2000000002-200-2-2-2-2000000000-2-2000000000200200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-200000000-22002222000000000-2-2000000000-200200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000000220022-2-200000000022000000000200-200000
χ2122222-122-12-12-12-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-1-1-122-1-122-1-1-1-1220200-1-100-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ2222222-122-12-12-12-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-20-200110011112-1-1-1-100-200111100000000000
χ2322222-122-12-12-12-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-21111-2-20200-1-1001111-2-1-11100200-1-11100000000000
χ2422222-122-12-12-12-122-1-1-1-2-22-1-121111-2-20022221111-2-1-11122-1-1-2-21111220-2001100-1-1-1-1-2-1-11100-20011-1-100000000000
χ2522222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-20200-1-100-1-1-1-1-2111100-200111100000000000
χ2622222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-21111-2-2-1-122-1-1-1-1220-20011001111-2111100200-1-1-1-100000000000
χ2722222-122-12-12-12-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-21111220200-1-1001111211-1-100-20011-1-100000000000
χ2822222-122-12-12-12-1-2-2-1-1-1-2-22-1-121111-2-20022221111211-1-1-2-2-1-1-2-21111-2-20-2001100-1-1-1-1211-1-100200-1-11100000000000
χ292222-12222-12-12-1-122-1-1-122-122-1222200220000000022222-1-1-1-1-1-1-1-1-1-100202200-1-10000-1-1-1-1-1000220000-1-1-1-1-1000-100
χ302222-12222-12-12-1-122-1-1-122-122-1222200-2-20000000022222-1-1-1-1-1-1-1-1-1-100-20-2-200110000-1-1-1-1-1000-2-2000011111000100
χ312222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-2002200000000-222-2-2-1-1-1-11111110020-2-200-1-100001-1-1110002-20000-1-1-111000100
χ322222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-222-2-2-1-1-1-111111100-2022001100001-1-111000-220000111-1-1000-100
χ332222-12222-12-12-1-1-2-2-1-1-122-122-12222002200000000-2-2-2-2-211-1-1-1-1-1-1-1-100202200-1-1000011111000-2-2000011-1-1-1000100
χ342222-12222-12-12-1-1-2-2-1-1-122-122-1222200-2-200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-20-2-20011000011111000220000-1-1111000-100
χ352222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-20022000000002-2-22211-1-11111110020-2-200-1-10000-111-1-1000-22000011-111000-100
χ362222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-2000000002-2-22211-1-111111100-202200110000-111-1-10002-20000-1-11-1-1000100
χ3722-2-222-222-2-22-2-222i−2i-22-200-22-22000000002i2i−2i−2i000002i−2i002i−2i-220000002-2000000002i2i−2i−2i02i−2i0000000002-200000000000
χ3822-2-222-222-2-22-2-222i−2i-22-200-22-2200000000−2i−2i2i2i000002i−2i002i−2i-22000000-2200000000−2i−2i2i2i02i−2i000000000-2200000000000
χ3922-2-222-222-2-22-2-22−2i2i-22-200-22-22000000002i2i−2i−2i00000−2i2i00−2i2i-22000000-22000000002i2i−2i−2i0−2i2i000000000-2200000000000
χ4022-2-222-222-2-22-2-22−2i2i-22-200-22-2200000000−2i−2i2i2i00000−2i2i00−2i2i-220000002-200000000−2i−2i2i2i0−2i2i0000000002-200000000000
χ4122-2-22-1-22-1-2121-2-12i−2i1-1100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30−ii3−32i−2i1-100−i3−i3i3i32-200003−300−i−iii0−ii3−300000−i3i3-1100000000000
χ4222-2-22-1-22-1-2121-2-12i−2i1-1100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330−ii3−32i−2i1-100−i3−i3i3i3-220000−3300ii−i−i0−ii3−300000i3−i31-100000000000
χ4322-2-22-1-22-1-2121-2-12i−2i1-1100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330−ii−332i−2i1-100i3i3−i3−i32-20000−3300−i−iii0−ii−3300000i3−i3-1100000000000
χ4422-2-22-1-22-1-2121-2-12i−2i1-1100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30−ii−332i−2i1-100i3i3−i3−i3-2200003−300ii−i−i0−ii−3300000−i3i31-100000000000
χ4522-2-22-1-22-1-2121-2-1−2i2i1-1100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30i−i−33−2i2i1-100−i3−i3i3i3-2200003−300−i−iii0i−i−3300000i3−i31-100000000000
χ4622-2-22-1-22-1-2121-2-1−2i2i1-1100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330i−i−33−2i2i1-100−i3−i3i3i32-20000−3300ii−i−i0i−i−3300000−i3i3-1100000000000
χ4722-2-22-1-22-1-2121-2-1−2i2i1-1100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330i−i3−3−2i2i1-100i3i3−i3−i3-220000−3300−i−iii0i−i3−300000−i3i31-100000000000
χ4822-2-22-1-22-1-2121-2-1−2i2i1-1100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30i−i3−3−2i2i1-100i3i3−i3−i32-200003−300ii−i−i0i−i3−300000i3−i3-1100000000000
χ492-2-222200-222-2-2-22002-2-22−200002−22−22i−2i2-2−i2i2−i2i22i−2i2i−2i0000000002−22−22−200002−2002-2−i2i2−i2i2000002i−2i00000000002−20−i2i2000
χ502-2-222200-222-2-2-22002-2-22−200002−22−22i−2i-22−i2i2−i2i22i−2i2i−2i0000000002−22−22−20000−2200-22−i2i2−i2i200000−2i2i0000000000−220i2−i2000
χ512-2-222200-222-2-2-22002-2-22−200002−22−2−2i2i2-2i2−i2i2−i2−2i2i−2i2i0000000002−22−22−200002−2002-2i2−i2i2−i200000−2i2i00000000002−20i2−i2000
χ522-2-222200-222-2-2-22002-2-22−200002−22−2−2i2i-22i2−i2i2−i2−2i2i−2i2i0000000002−22−22−20000−2200-22i2−i2i2−i2000002i−2i0000000000−220−i2i2000
χ532-2-222200-222-2-2-22002-2-2−220000−22−222i−2i2-2i2−i2i2−i22i−2i2i−2i000000000−22−22−220000−22002-2i2−i2i2−i2000002i−2i0000000000−220i2−i2000
χ542-2-222200-222-2-2-22002-2-2−220000−22−222i−2i-22i2−i2i2−i22i−2i2i−2i000000000−22−22−2200002−200-22i2−i2i2−i200000−2i2i00000000002−20−i2i2000
χ552-2-222200-222-2-2-22002-2-2−220000−22−22−2i2i2-2−i2i2−i2i2−2i2i−2i2i000000000−22−22−220000−22002-2−i2i2−i2i200000−2i2i0000000000−220−i2i2000
χ562-2-222200-222-2-2-22002-2-2−220000−22−22−2i2i-22−i2i2−i2i2−2i2i−2i2i000000000−22−22−2200002−200-22−i2i2−i2i2000002i−2i00000000002−20i2−i2000
χ5744444-2-4-4-24-24-24-200-2-2-200-422-4000044000000-2-2-2-2000000022000000000-400220000000000000000000000000000000
χ5844444-2-4-4-24-24-24-200-2-2-200-422-40000-4-40000002222000000022000000000400-2-20000000000000000000000000000000
χ594444-24-4-44-24-24-2-200-2-2-2002-4-42000000440000000000000002200000000-400000-2-200000000000000000000200000000
χ604444-24-4-44-24-24-2-200-2-2-2002-4-42000000-4-400000000000000022000000004000002200000000000000000000-200000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-4444-44-4-44-4-4400-44-4004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-24-4-2-4242-4-2002-220042-2-40000000000002323−23−230000000-22000000000000−23230000000000000000000000000000000
χ6744-4-44-24-4-2-4242-4-2002-220042-2-4000000000000−23−2323230000000-2200000000000023−230000000000000000000000000000000
χ6844-4-4-244-442-4-2-42-2002-2200-2-44200000000000000000000000-220000000000000000000000000000000000−2i32i3000000000
χ6944-4-4-244-442-4-2-42-2002-2200-2-44200000000000000000000000-2200000000000000000000000000000000002i3−2i3000000000
χ7044-4-4-24-4442-4-2-42-24i−4i2-220024-4-2000000000000000004i−4i00−2i2i2-2000000000000000000000−2i2i0000000000000000000000
χ7144-4-4-24-4442-4-2-42-2−4i4i2-220024-4-200000000000000000−4i4i002i−2i2-20000000000000000000002i−2i0000000000000000000000
χ7244-4-4-2-2-44-222-22214i−4i-11-1002-22-2−2i3−2i32i32i30000000000000−2i2i23−23−2i2i-1100i3i3−i3−i3000000000000000i−i−3300000000000000000000
χ7344-4-4-2-2-44-222-22214i−4i-11-1002-22-22i32i3−2i3−2i30000000000000−2i2i−2323−2i2i-1100−i3−i3i3i3000000000000000i−i3−300000000000000000000
χ7444-4-4-2-2-44-222-2221−4i4i-11-1002-22-2−2i3−2i32i32i300000000000002i−2i−23232i−2i-1100i3i3−i3−i3000000000000000−ii3−300000000000000000000
χ7544-4-4-2-2-44-222-2221−4i4i-11-1002-22-22i32i3−2i3−2i300000000000002i−2i23−232i−2i-1100−i3−i3i3i3000000000000000−ii−3300000000000000000000
χ764-44-44400-4-4-4-444400-4-440000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ774-44-44400-4-4-4-444400-4-4400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ784-44-44-2002-42-4-24-20022-2000000i6−i6−i6i6000022−22−2222−2i32i32i3−2i300000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ794-44-44-2002-42-4-24-20022-2000000i6−i6−i6i60000−222222−222i3−2i3−2i32i300000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ804-44-44-2002-42-4-24-20022-2000000−i6i6i6−i6000022−22−22222i3−2i3−2i32i300000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ814-44-44-2002-42-4-24-20022-2000000−i6i6i6−i60000−222222−22−2i32i32i3−2i300000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ824-4-444-20024-2-42-4-200-22222−220000−22−224i−4i00−2i22i2−2i22i2−2i2i−2i2i00000000022−22−22−220000000000i2−i2i2−i20000000000000000000000000
χ834-4-444-20024-2-42-4-200-22222−220000−22−22−4i4i002i2−2i22i2−2i22i−2i2i−2i00000000022−22−22−220000000000−i2i2−i2i20000000000000000000000000
χ844-4-444-20024-2-42-4-200-222−222200002−22−24i−4i002i2−2i22i2−2i2−2i2i−2i2i000000000−22222−22−20000000000−i2i2−i2i20000000000000000000000000
χ854-4-444-20024-2-42-4-200-222−222200002−22−2−4i4i00−2i22i2−2i22i22i−2i2i−2i000000000−22222−22−20000000000i2−i2i2−i20000000000000000000000000
χ864-4-44-2400-4-242-42-200-22222−22000022−2222−22004-400000000000000000−22−22−22000022−2200-22000000000000000000000−22000000
χ874-4-44-2400-4-242-42-200-22222−22000022−2222−2200-4400000000000000000−22−22−220000−2222002-20000000000000000000002−2000000
χ884-4-44-2400-4-242-42-200-222−22220000−2222−2222004-4000000000000000002−22−22−20000−222200-220000000000000000000002−2000000
χ894-4-44-2400-4-242-42-200-222−22220000−2222−222200-44000000000000000002−22−22−2000022−22002-2000000000000000000000−22000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-8-444-444200-22-200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ928-88-8-4800-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004444-4-4200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ948-88-8-4-4004444-4-4200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ958-8-88-4-4004-4-44442002-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-4004-4-44442002-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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