Finite Group Databasebeta

← Group #11887433

Character table — Group #11887433

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212412121212121212122424242424242224668812122424242412121212122222466661212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-111-1-1-1-1111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-11-1-11111-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-1111-11-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1-11-1-111111-1-1-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-111-11-111-1-1-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-11-111-1-11-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-111-1-1-111-1-1-1-1111-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111111-11-1-111-111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-200-2-2-20022000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-2000000-2002-2-200-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000200-2220022000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000020022200-2-200000000022000000020000-200000
χ2122222-1222-1-1-122-122-1-1-122-12-122222002200000000222-1-122-1-1-1-1-1-1-1-100020022-1-10000-1-1-1-1-10022000-1-1-100-1-1000-100
χ2222222-1222-1-1-122-122-1-1-122-12-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-1000-200-2-2110000-1-1-1-1-100-2-20001110011000100
χ2322222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-2002200000000-222-1-1-2-2-1-1111111000200-2-2-1-100001-1-111002-2000-1-1-10011000100
χ2422222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-200-2-200000000-222-1-1-2-2-1-1111111000-200221100001-1-11100-2200011100-1-1000-100
χ2522222-1222-1-1-122-1-2-2-1-1-122-12-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-100020022-1-100001111100-2-200011-100-1-1000100
χ2622222-1222-1-1-122-1-2-2-1-1-122-12-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-200-2-2110000111110022000-1-110011000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-20022000000002-2-21122-1-1111111000200-2-2-1-10000-111-1-100-2200011-10011000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-2000000002-2-21122-1-1111111000-20022110000-111-1-1002-2000-1-1100-1-1000100
χ292222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-12220-1-10000-1-1-1-12-1-1-1-100002-1-1000-1-100000000
χ302222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-2011000011112-1-1-1-10000-2110001100000000
χ312222-1222-1222-1-1-122-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-211112-2-20-1-100001111-2-1-1110000211000-1-100000000
χ322222-1222-1222-1-1-122-1-1-1-2-22-12-11111-2-20022221111-2-1-12211-1-1-2-21111-2220110000-1-1-1-1-2-1-1110000-2-1-10001100000000
χ332222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-12-2-20-1-10000-1-1-1-1-211110000-2110001100000000
χ342222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-1-22201100001111-2111100002-1-1000-1-100000000
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-211112220-1-100001111211-1-10000-2-1-10001100000000
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-11111-2-20022221111211-2-2-1-1-1-1-2-21111-2-2-20110000-1-1-1-1211-1-10000211000-1-100000000
χ3722-2-22200-22-2-22-22002-2-22−2000022−2−22i−2i2i−2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−2000000−i2i22i−2i−i2−i2i2i2000002-20000000000−i2i202−2000
χ3822-2-22200-22-2-22-22002-2-22−2000022−2−22i−2i−2i2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−2000000i2−i2−2i2i−i2−i2i2i200000-220000000000i2−i20−22000
χ3922-2-22200-22-2-22-22002-2-22−2000022−2−2−2i2i2i−2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−2000000−i2i22i−2ii2i2−i2−i200000-220000000000−i2i20−22000
χ4022-2-22200-22-2-22-22002-2-22−2000022−2−2−2i2i−2i2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−2000000i2−i2−2i2ii2i2−i2−i2000002-20000000000i2−i202−2000
χ4122-2-22200-22-2-22-22002-2-2−220000−2−2222i−2i2i−2ii2i2−i2−i22i2i−2i−2i000000000−22−2−222000000i2−i22i−2ii2i2−i2−i2000002-20000000000i2−i20−22000
χ4222-2-22200-22-2-22-22002-2-2−220000−2−2222i−2i−2i2ii2i2−i2−i22i2i−2i−2i000000000−22−2−222000000−i2i2−2i2ii2i2−i2−i200000-220000000000−i2i202−2000
χ4322-2-22200-22-2-22-22002-2-2−220000−2−222−2i2i2i−2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−222000000i2−i22i−2i−i2−i2i2i200000-220000000000i2−i202−2000
χ4422-2-22200-22-2-22-22002-2-2−220000−2−222−2i2i−2i2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−222000000−i2i2−2i2i−i2−i2i2i2000002-20000000000−i2i20−22000
χ452-22-222-22-2-22-2-2222i−2i-2-220022-2-2000000002i−2i2i−2i000002i−2i2i−2i002-200000002-200000002i−2i2i−2i02i−2i00000002-20000000000000
χ462-22-222-22-2-22-2-2222i−2i-2-220022-2-200000000−2i2i−2i2i000002i−2i2i−2i002-20000000-220000000−2i2i−2i2i02i−2i0000000-220000000000000
χ472-22-222-22-2-22-2-222−2i2i-2-220022-2-2000000002i−2i2i−2i00000−2i2i−2i2i002-20000000-2200000002i−2i2i−2i0−2i2i0000000-220000000000000
χ482-22-222-22-2-22-2-222−2i2i-2-220022-2-200000000−2i2i−2i2i00000−2i2i−2i2i002-200000002-20000000−2i2i−2i2i0−2i2i00000002-20000000000000
χ492-22-2-12-221-22-21-1-12i−2i11-1002-1-213−33−300002i−2i2i−2i−i3i3−i3i30−ii2i−2i−i3i3-11003−33−302-20−i3i30000−ii−ii0−ii−i3i300000-110003−300000000
χ502-22-2-12-221-22-21-1-12i−2i11-1002-1-213−33−30000−2i2i−2i2ii3−i3i3−i30−ii2i−2i−i3i3-11003−33−30-220i3−i30000i−ii−i0−ii−i3i3000001-1000−3300000000
χ512-22-2-12-221-22-21-1-12i−2i11-1002-1-21−33−3300002i−2i2i−2ii3−i3i3−i30−ii2i−2ii3−i3-1100−33−3302-20i3−i30000−ii−ii0−iii3−i300000-11000−3300000000
χ522-22-2-12-221-22-21-1-12i−2i11-1002-1-21−33−330000−2i2i−2i2i−i3i3−i3i30−ii2i−2ii3−i3-1100−33−330-220−i3i30000i−ii−i0−iii3−i3000001-10003−300000000
χ532-22-2-12-221-22-21-1-1−2i2i11-1002-1-213−33−300002i−2i2i−2i−i3i3−i3i30i−i−2i2ii3−i3-11003−33−30-220−i3i30000−ii−ii0i−ii3−i3000001-1000−3300000000
χ542-22-2-12-221-22-21-1-1−2i2i11-1002-1-213−33−30000−2i2i−2i2ii3−i3i3−i30i−i−2i2ii3−i3-11003−33−302-20i3−i30000i−ii−i0i−ii3−i300000-110003−300000000
χ552-22-2-12-221-22-21-1-1−2i2i11-1002-1-21−33−3300002i−2i2i−2ii3−i3i3−i30i−i−2i2i−i3i3-1100−33−330-220i3−i30000−ii−ii0i−i−i3i3000001-10003−300000000
χ562-22-2-12-221-22-21-1-1−2i2i11-1002-1-21−33−330000−2i2i−2i2i−i3i3−i3i30i−i−2i2i−i3i3-1100−33−3302-20−i3i30000i−ii−i0i−i−i3i300000-11000−3300000000
χ5744444-2-4-44-2-2-244-200-2-2-2002-42-40000004400000000000000022000000000-40000-2-200000000000000000020000000000
χ5844444-2-4-44-2-2-244-200-2-2-2002-42-4000000-4-4000000000000000220000000004000022000000000000000000-20000000000
χ594444-24-4-4-2444-2-2-200-2-2-200-42-42000044000000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ604444-24-4-4-2444-2-2-200-2-2-200-42-420000-4-400000022220000000220000004000-2-2000000000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000211-1-100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-44-200-4-2224-4-200-22222−2200002222−22−22004i−4i00000000000000000−22−2−222000000−2i22i2−2i2i000000000000000000000i2−i2000000
χ6644-4-44-200-4-2224-4-200-22222−2200002222−22−2200−4i4i00000000000000000−22−2−2220000002i2−2i22i−2i000000000000000000000−i2i2000000
χ6744-4-44-200-4-2224-4-200-222−22220000−22−222222004i−4i000000000000000002−222−2−20000002i2−2i2−2i2i000000000000000000000−i2i2000000
χ6844-4-44-200-4-2224-4-200-222−22220000−22−22222200−4i4i000000000000000002−222−2−2000000−2i22i22i−2i000000000000000000000i2−i2000000
χ6944-4-4-240024-4-4-22-200-22222−220000−2−2224i−4i00−2i2−2i22i22i2−2i−2i2i2i00000000022−22−2−2220000000000i2i2−i2−i20000000000000000000000000
χ7044-4-4-240024-4-4-22-200-22222−220000−2−222−4i4i002i22i2−2i2−2i22i2i−2i−2i00000000022−22−2−2220000000000−i2−i2i2i20000000000000000000000000
χ7144-4-4-240024-4-4-22-200-222−2222000022−2−24i−4i002i22i2−2i2−2i2−2i−2i2i2i000000000−222222−2−20000000000−i2−i2i2i20000000000000000000000000
χ7244-4-4-240024-4-4-22-200-222−2222000022−2−2−4i4i00−2i2−2i22i22i22i2i−2i−2i000000000−222222−2−20000000000i2i2−i2−i20000000000000000000000000
χ734-44-4444-4-4-44-4-44400-4-4400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ744-44-44-24-4-42-22-44-20022-2002-4-24000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ754-44-44-24-4-42-22-44-20022-2002-4-24000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ764-44-44-2-44-42-22-44-24i−4i22-200-242-4000000000000000004i−4i−2i2i00-22000000000000000000000−2i2i0000000000000000000000
χ774-44-44-2-44-42-22-44-2−4i4i22-200-242-400000000000000000−4i4i2i−2i00-220000000000000000000002i−2i0000000000000000000000
χ784-44-4-244-42-44-42-2-20022-200-424-2000000000000−2i32i3−2i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ794-44-4-244-42-44-42-2-20022-200-424-20000000000002i3−2i32i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ804-44-4-2-2-4422-222-214i−4i-1-1100-2-22223−2323−230000000000000−2i2i−2i2i−2i32i31-100−33−33000000000000000i−ii3−i300000000000000000000
χ814-44-4-2-2-4422-222-214i−4i-1-1100-2-222−2323−23230000000000000−2i2i−2i2i2i3−2i31-1003−33−3000000000000000i−i−i3i300000000000000000000
χ824-44-4-2-2-4422-222-21−4i4i-1-1100-2-22223−2323−2300000000000002i−2i2i−2i2i3−2i31-100−33−33000000000000000−ii−i3i300000000000000000000
χ834-44-4-2-2-4422-222-21−4i4i-1-1100-2-222−2323−232300000000000002i−2i2i−2i−2i32i31-1003−33−3000000000000000−iii3−i300000000000000000000
χ844-4-4444004-4-44-4-4400-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ854-4-4444004-4-44-4-4400-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ864-4-44-2400-2-4-4422-2002-220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ874-4-44-2400-2-4-4422-2002-220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ884-4-44-2400-2-4-4422-2002-22000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ894-4-44-2400-2-4-4422-2002-22000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4004-444-442002-2-242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-4004-444-442002-2-2−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-8-4-48-844-444-4200-2-220044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
χ948-8-888-400844-4-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400-444-444200-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-400-444-444200-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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