Finite Group Databasebeta

← Group #11888167

Character table — Group #11888167

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242444448888121212124121212121212121224242424242422246688121224242424121212121244244666612121224242881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-111-1-1-1-1111111111-1-1-1-11-1-111-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-11-1-11111-1-1-1-111111-1-111-111-1-11-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-1111-1111-1-1111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1-11-1-111111-1-1-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-111-11-1-1-111-1-1-1111-1-11-11
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
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111
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
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-11-1-1-1111-1-1-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-111-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-111-1-1-111-1-1-1-1111-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111111-1111-1-1-111111-1-1-11-1
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
χ2122222-122-122-1-12-122-1-1-122-12-12-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-12220-1-10000-1-1-1-12-1-1-1-10000200-1-10-1-100000000
χ2222222-122-122-1-12-122-1-1-122-12-12-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-2011000011112-1-1-1-10000-2001101100000000
χ2322222-122-122-1-12-122-1-1-1-2-2-12-1211112200-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-211112-2-20-1-100001111-2-1-1110000200110-1-100000000
χ2422222-122-122-1-12-122-1-1-1-2-2-12-121111-2-20022221111-2-1-12211-1-1-2-21111-2220110000-1-1-1-1-2-1-1110000-200-1-101100000000
χ2522222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-12-2-20-1-10000-1-1-1-1-211110000-2001101100000000
χ2622222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-1-22201100001111-211110000200-1-10-1-100000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-12-1211112200-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-211112220-1-100001111211-1-10000-200-1-101100000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-12-121111-2-20022221111211-2-2-1-1-1-1-2-21111-2-2-20110000-1-1-1-1211-1-10000200110-1-100000000
χ292222-12222-1-122-1-122-1-1-1222-12-12222002200000000222-1-122-1-1-1-1-1-1-1-100020022-1-10000-1-1-1-1-100220-1-100-100-1-1000-100
χ302222-12222-1-122-1-122-1-1-1222-12-1222200-2-200000000222-1-122-1-1-1-1-1-1-1-1000-200-2-2110000-1-1-1-1-100-2-20110010011000100
χ312222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-2002200000000-222-1-1-2-2-1-1111111000200-2-2-1-100001-1-111002-20-1-100-10011000100
χ322222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-200-2-200000000-222-1-1-2-2-1-1111111000-200221100001-1-11100-2201100100-1-1000-100
χ332222-12222-1-122-1-1-2-2-1-1-1222-12-12222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-100020022-1-100001111100-2-201100-100-1-1000100
χ342222-12222-1-122-1-1-2-2-1-1-1222-12-1222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-200-2-21100001111100220-1-10010011000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-20022000000002-2-21122-1-1111111000200-2-2-1-10000-111-1-100-2201100-10011000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-200-2-2000000002-2-21122-1-1111111000-20022110000-111-1-1002-20-1-100100-1-1000100
χ3722-2-222-22-2-2-22-2222i−2i-2-220022-2-2000000002i2i−2i−2i000002i−2i2i−2i002-200000002-200000002i2i−2i−2i02i−2i0000000002-200000000000
χ3822-2-222-22-2-2-22-2222i−2i-2-220022-2-200000000−2i−2i2i2i000002i−2i2i−2i002-20000000-220000000−2i−2i2i2i02i−2i000000000-2200000000000
χ3922-2-222-22-2-2-22-222−2i2i-2-220022-2-2000000002i2i−2i−2i00000−2i2i−2i2i002-20000000-2200000002i2i−2i−2i0−2i2i000000000-2200000000000
χ4022-2-222-22-2-2-22-222−2i2i-2-220022-2-200000000−2i−2i2i2i00000−2i2i−2i2i002-200000002-20000000−2i−2i2i2i0−2i2i0000000002-200000000000
χ4122-2-22-1-221-2-2-112-12i−2i11-100-121-233−3−300002i2i−2i−2i−i3−i3i3i30−ii2i−2i−i3i3-110033−3−302-20−i3i30000−i−iii0−ii−i3i30000000-1103−300000000
χ4222-2-22-1-221-2-2-112-12i−2i11-100-121-233−3−30000−2i−2i2i2ii3i3−i3−i30−ii2i−2i−i3i3-110033−3−30-220i3−i30000ii−i−i0−ii−i3i300000001-10−3300000000
χ4322-2-22-1-221-2-2-112-12i−2i11-100-121-2−3−33300002i2i−2i−2ii3i3−i3−i30−ii2i−2ii3−i3-1100−3−33302-20i3−i30000−i−iii0−iii3−i30000000-110−3300000000
χ4422-2-22-1-221-2-2-112-12i−2i11-100-121-2−3−3330000−2i−2i2i2i−i3−i3i3i30−ii2i−2ii3−i3-1100−3−3330-220−i3i30000ii−i−i0−iii3−i300000001-103−300000000
χ4522-2-22-1-221-2-2-112-1−2i2i11-100-121-233−3−300002i2i−2i−2i−i3−i3i3i30i−i−2i2ii3−i3-110033−3−30-220−i3i30000−i−iii0i−ii3−i300000001-10−3300000000
χ4622-2-22-1-221-2-2-112-1−2i2i11-100-121-233−3−30000−2i−2i2i2ii3i3−i3−i30i−i−2i2ii3−i3-110033−3−302-20i3−i30000ii−i−i0i−ii3−i30000000-1103−300000000
χ4722-2-22-1-221-2-2-112-1−2i2i11-100-121-2−3−33300002i2i−2i−2ii3i3−i3−i30i−i−2i2i−i3i3-1100−3−3330-220i3−i30000−i−iii0i−i−i3i300000001-103−300000000
χ4822-2-22-1-221-2-2-112-1−2i2i11-100-121-2−3−3330000−2i−2i2i2i−i3−i3i3i30i−i−2i2i−i3i3-1100−3−33302-20−i3i30000ii−i−i0i−i−i3i30000000-110−3300000000
χ492-22-222002-22-2-2-2200-22-2−i2i20000−i2i2−i2i22i−2i2-22−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i2000000−i2i22-22−22−2000002i−2i0000000000−i2i202−2000
χ502-22-222002-22-2-2-2200-22-2−i2i20000−i2i2−i2i22i−2i-222−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i2000000i2−i2-222−22−200000−2i2i0000000000i2−i20−22000
χ512-22-222002-22-2-2-2200-22-2−i2i20000−i2i2−i2i2−2i2i2-2−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i2000000−i2i22-2−22−2200000−2i2i0000000000−i2i20−22000
χ522-22-222002-22-2-2-2200-22-2−i2i20000−i2i2−i2i2−2i2i-22−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i2000000i2−i2-22−22−22000002i−2i0000000000i2−i202−2000
χ532-22-222002-22-2-2-2200-22-2i2−i20000i2−i2i2−i22i−2i2-2−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i2000000i2−i22-2−22−22000002i−2i0000000000i2−i20−22000
χ542-22-222002-22-2-2-2200-22-2i2−i20000i2−i2i2−i22i−2i-22−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i2000000−i2i2-22−22−2200000−2i2i0000000000−i2i202−2000
χ552-22-222002-22-2-2-2200-22-2i2−i20000i2−i2i2−i2−2i2i2-22−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i2000000i2−i22-22−22−200000−2i2i0000000000i2−i202−2000
χ562-22-222002-22-2-2-2200-22-2i2−i20000i2−i2i2−i2−2i2i-222−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i2000000−i2i2-222−22−2000002i−2i0000000000−i2i20−22000
χ5744444-2-4-4-244-2-24-200-2-2-2002-42-4000044000000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ5844444-2-4-4-244-2-24-200-2-2-2002-42-40000-4-400000022220000000220000004000-2-2000000000000000000000000000000000
χ594444-24-4-44-2-244-2-200-2-2-200-42-420000004400000000000000022000000000-40000-2-200000000000000000020000000000
χ604444-24-4-44-2-244-2-200-2-2-200-42-42000000-4-4000000000000000220000000004000022000000000000000000-20000000000
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
χ6544-4-4444-4-4-4-44-44400-4-4400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-42-4-4-224-20022-2002-4-24000000000000−2i3−2i32i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ6744-4-44-24-42-4-4-224-20022-2002-4-240000000000002i32i3−2i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ6844-4-4-244-4-4224-4-2-20022-200-424-2000000000000000000000002-2000000000000000000000000000000−2i32i30000000000000
χ6944-4-4-244-4-4224-4-2-20022-200-424-2000000000000000000000002-20000000000000000000000000000002i3−2i30000000000000
χ7044-4-4-24-44-4224-4-2-24i−4i22-2004-2-42000000000000000004i−4i−2i2i00-22000000000000000000000−2i2i0000000000000000000000
χ7144-4-4-24-44-4224-4-2-2−4i4i22-2004-2-4200000000000000000−4i4i2i−2i00-220000000000000000000002i−2i0000000000000000000000
χ7244-4-4-2-2-44222-22-214i−4i-1-1100-2-2222323−23−230000000000000−2i2i−2i2i−2i32i31-100−3−333000000000000000i−ii3−i300000000000000000000
χ7344-4-4-2-2-44222-22-214i−4i-1-1100-2-222−23−2323230000000000000−2i2i−2i2i2i3−2i31-10033−3−3000000000000000i−i−i3i300000000000000000000
χ7444-4-4-2-2-44222-22-21−4i4i-1-1100-2-2222323−23−2300000000000002i−2i2i−2i2i3−2i31-100−3−333000000000000000−ii−i3i300000000000000000000
χ7544-4-4-2-2-44222-22-21−4i4i-1-1100-2-222−23−23232300000000000002i−2i2i−2i−2i32i31-10033−3−3000000000000000−iii3−i300000000000000000000
χ764-44-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i24i−4i0022−2222−22−2i2i−2i2i000000000−2i22i2i2−i2i2−i20000000000−22−220000000000000000000000000
χ774-44-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i2−4i4i00−2222−22222i−2i2i−2i000000000−2i22i2i2−i2i2−i200000000002−22−20000000000000000000000000
χ784-44-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i24i−4i00−2222−2222−2i2i−2i2i0000000002i2−2i2−i2i2−i2i200000000002−22−20000000000000000000000000
χ794-44-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i2−4i4i0022−2222−222i−2i2i−2i0000000002i2−2i2−i2i2−i2i20000000000−22−220000000000000000000000000
χ804-44-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i2004-400000000000000000i2−i2i2−i2i2−i2000000−2i22i2-22000000000000000000000i2−i2000000
χ814-44-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i200-4400000000000000000i2−i2i2−i2i2−i20000002i2−2i22-2000000000000000000000−i2i2000000
χ824-44-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i2004-400000000000000000−i2i2−i2i2−i2i20000002i2−2i2-22000000000000000000000−i2i2000000
χ834-44-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i200-4400000000000000000−i2i2−i2i2−i2i2000000−2i22i22-2000000000000000000000i2−i2000000
χ844-4-444400-44-4-44-44004-4-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-4-444400-44-4-44-44004-4-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-4-444-20024-42-2-4-200-222000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ874-4-444-20024-42-2-4-200-222000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ884-4-444-20024-42-2-4-200-222000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ894-4-444-20024-42-2-4-200-222000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-8444-44-4200-2-220044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-8-4-400-44-4444200-22-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ938-88-8-4-400-44-4444200-22-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ948-8-88-4800-8-44-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-444-442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ968-8-88-4-4004-444-442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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