Finite Group Databasebeta

← Group #11887280

Character table — Group #11887280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242422448888121212124121212121212121224242424242422246666882424242412121212124444466121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1111-1-111-1-1-1-111111-1-111-1-1-11-1-11111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1111111111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-1111-11-1-111111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-11-1-1111-1-111-1-1-111-11-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-111-1-1-111-1-111-11111-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-111-11-111-1-1-1-1-1111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11111-11-1111-1-1-1-1-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-111-1-1111-1-1-1-1-1111-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-11-1-111-1-1-11111-111-1-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-11-1-1-11111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-200-222-2-2000000000002200000-2000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000200-2222200000000000-2-200000-2000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-2000000-2002-2-2-2-200000000000-2-2000002000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000002002-2-2220000000000022000002000000-200000
χ2122222-122-122-1-12-122-1-1-122-122-1-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-1222000-1-100-1-1-1-12-1-1-1-100002-1-10-1-10000000000
χ2222222-122-122-1-12-122-1-1-122-122-1-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000110011112-1-1-1-10000-2110110000000000
χ2322222-122-122-1-12-122-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-211112-2-2000-1-1001111-2-1-11100002110-1-10000000000
χ2422222-122-122-1-12-122-1-1-1-2-2-122-1111100-2-222221111-2-1-11122-1-1-2-21111-2220001100-1-1-1-1-2-1-1110000-2-1-10110000000000
χ2522222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-12-2-2000-1-100-1-1-1-1-211110000-2110110000000000
χ2622222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-1-22200011001111-2111100002-1-10-1-10000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-21111222000-1-1001111211-1-10000-2-1-10110000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-122-1111100-2-222221111211-1-1-2-2-1-1-2-21111-2-2-20001100-1-1-1-1211-1-100002110-1-10000000000
χ292222-12222-1-122-1-122-1-1-1222-1-12222222000000000022222-1-1-1-1-1-1-1-1-1-10002-1-100220000-1-1-1-1-10022000-100-1-1-1-1000-100
χ302222-12222-1-122-1-122-1-1-1222-1-122222-2-2000000000022222-1-1-1-1-1-1-1-1-1-1000-21100-2-20000-1-1-1-1-100-2-20001001111000100
χ312222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2220000000000-222-2-2-1-1-1-11111110002-1-100-2-200001-1-111002-2000-100-1-111000100
χ322222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2-2-20000000000-222-2-2-1-1-1-1111111000-211002200001-1-11100-2200010011-1-1000-100
χ332222-12222-1-122-1-1-2-2-1-1-1222-1-122222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-10002-1-1002200001111100-2-2000-10011-1-1000100
χ342222-12222-1-122-1-1-2-2-1-1-1222-1-122222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-21100-2-20000111110022000100-1-111000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-22200000000002-2-22211-1-11111110002-1-100-2-20000-111-1-100-22000-1001111000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2-2-200000000002-2-22211-1-1111111000-21100220000-111-1-1002-2000100-1-1-1-1000100
χ3722-2-222002-2-2-2-22200-22-2−i2i20000−i2−i2i2i22-22i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i200002-200−i2i222−2−2000002i−2i0000000000−i2i202−2000
χ3822-2-222002-2-2-2-22200-22-2−i2i20000−i2−i2i2i22-2−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i200002-200−i2i2−2−22200000−2i2i0000000000−i2i20−22000
χ3922-2-222002-2-2-2-22200-22-2−i2i20000−i2−i2i2i2-222i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i20000-2200i2−i222−2−200000−2i2i0000000000i2−i20−22000
χ4022-2-222002-2-2-2-22200-22-2−i2i20000−i2−i2i2i2-22−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i20000-2200i2−i2−2−222000002i−2i0000000000i2−i202−2000
χ4122-2-222002-2-2-2-22200-22-2i2−i20000i2i2−i2−i22-22i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i200002-200i2−i2−2−222000002i−2i0000000000i2−i20−22000
χ4222-2-222002-2-2-2-22200-22-2i2−i20000i2i2−i2−i22-2−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i200002-200i2−i222−2−200000−2i2i0000000000i2−i202−2000
χ4322-2-222002-2-2-2-22200-22-2i2−i20000i2i2−i2−i2-222i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i20000-2200−i2i2−2−22200000−2i2i0000000000−i2i202−2000
χ4422-2-222002-2-2-2-22200-22-2i2−i20000i2i2−i2−i2-22−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i20000-2200−i2i222−2−2000002i−2i0000000000−i2i20−22000
χ452-2-22222-2-22-22-2-222i−2i-2-22002-22-2000000002i−2i2i−2i000002i−2i002i−2i2-200000002-200000002i−2i2i−2i02i−2i00000002-20000000000000
χ462-2-22222-2-22-22-2-222i−2i-2-22002-22-200000000−2i2i−2i2i000002i−2i002i−2i2-20000000-220000000−2i2i−2i2i02i−2i0000000-220000000000000
χ472-2-22222-2-22-22-2-22−2i2i-2-22002-22-2000000002i−2i2i−2i00000−2i2i00−2i2i2-20000000-2200000002i−2i2i−2i0−2i2i0000000-220000000000000
χ482-2-22222-2-22-22-2-22−2i2i-2-22002-22-200000000−2i2i−2i2i00000−2i2i00−2i2i2-200000002-20000000−2i2i−2i2i0−2i2i00000002-20000000000000
χ492-2-222-12-212-2-11-2-12i−2i11-100-1-2213−33−300002i−2i2i−2i−i3i3−i3i30−ii−i3i32i−2i-11003−33−302-2000−i3i300−ii−ii0−ii−i3i300000-1103−30000000000
χ502-2-222-12-212-2-11-2-12i−2i11-100-1-2213−33−30000−2i2i−2i2ii3−i3i3−i30−ii−i3i32i−2i-11003−33−30-22000i3−i300i−ii−i0−ii−i3i3000001-10−330000000000
χ512-2-222-12-212-2-11-2-12i−2i11-100-1-221−33−3300002i−2i2i−2ii3−i3i3−i30−iii3−i32i−2i-1100−33−3302-2000i3−i300−ii−ii0−iii3−i300000-110−330000000000
χ522-2-222-12-212-2-11-2-12i−2i11-100-1-221−33−330000−2i2i−2i2i−i3i3−i3i30−iii3−i32i−2i-1100−33−330-22000−i3i300i−ii−i0−iii3−i3000001-103−30000000000
χ532-2-222-12-212-2-11-2-1−2i2i11-100-1-2213−33−300002i−2i2i−2i−i3i3−i3i30i−ii3−i3−2i2i-11003−33−30-22000−i3i300−ii−ii0i−ii3−i3000001-10−330000000000
χ542-2-222-12-212-2-11-2-1−2i2i11-100-1-2213−33−30000−2i2i−2i2ii3−i3i3−i30i−ii3−i3−2i2i-11003−33−302-2000i3−i300i−ii−i0i−ii3−i300000-1103−30000000000
χ552-2-222-12-212-2-11-2-1−2i2i11-100-1-221−33−3300002i−2i2i−2ii3−i3i3−i30i−i−i3i3−2i2i-1100−33−330-22000i3−i300−ii−ii0i−i−i3i3000001-103−30000000000
χ562-2-222-12-212-2-11-2-1−2i2i11-100-1-221−33−330000−2i2i−2i2i−i3i3−i3i30i−i−i3i3−2i2i-1100−33−3302-2000−i3i300i−ii−i0i−i−i3i300000-110−330000000000
χ5744444-2-4-4-244-2-24-200-2-2-2002-4-42000000440000-2-2-2-2000000022000000-400000220000000000000000000000000000000
χ5844444-2-4-4-244-2-24-200-2-2-2002-4-42000000-4-400002222000000022000000400000-2-20000000000000000000000000000000
χ594444-24-4-44-2-244-2-200-2-2-200-422-40000440000000000000000022000000000-4-2-2000000000000000000002000000000000
χ604444-24-4-44-2-244-2-200-2-2-200-422-40000-4-4000000000000000002200000000042200000000000000000000-2000000000000
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
χ6544-4-44-200-2-4-4224-2002-22−2i22i20000i2i2−i2−i2004i−4i2222−22−22−2i−2i2i2i000000000−2i22i2i2i2−i2−i20000000000−2−2220000000000000000000000000
χ6644-4-44-200-2-4-4224-2002-22−2i22i20000i2i2−i2−i200−4i4i−22−2222222i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000022−2−20000000000000000000000000
χ6744-4-44-200-2-4-4224-2002-222i2−2i20000−i2−i2i2i2004i−4i−22−222222−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000022−2−20000000000000000000000000
χ6844-4-44-200-2-4-4224-2002-222i2−2i20000−i2−i2i2i200−4i4i2222−22−222i2i−2i−2i0000000002i2−2i2−i2−i2i2i20000000000−2−2220000000000000000000000000
χ6944-4-4-2400422-4-4-2-2002-22−2i22i20000−2i2−2i22i22i24-40000000000000000000i2−i2i2i2−i2−i20000-2200−2i22i2000000000000000000000i2−i2000000
χ7044-4-4-2400422-4-4-2-2002-22−2i22i20000−2i2−2i22i22i2-440000000000000000000i2−i2i2i2−i2−i200002-2002i2−2i2000000000000000000000−i2i2000000
χ7144-4-4-2400422-4-4-2-2002-222i2−2i200002i22i2−2i2−2i24-40000000000000000000−i2i2−i2−i2i2i20000-22002i2−2i2000000000000000000000−i2i2000000
χ7244-4-4-2400422-4-4-2-2002-222i2−2i200002i22i2−2i2−2i2-440000000000000000000−i2i2−i2−i2i2i200002-200−2i22i2000000000000000000000i2−i2000000
χ734-44-44400-4-44-44-44004-4-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ744-44-44400-4-44-44-44004-4-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ754-44-44-2002-442-2-4-200-222000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ764-44-44-2002-442-2-4-200-222000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ774-44-44-2002-442-2-4-200-222000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ784-44-44-2002-442-2-4-200-222000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ794-4-4444-44-44-44-4-4400-4-4400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-2-4424-4-22-4-20022-20024-4-2000000000000−2i32i3−2i32i300000002-20000000000002i3−2i30000000000000000000000000000000
χ814-4-444-2-4424-4-22-4-20022-20024-4-20000000000002i3−2i32i3−2i300000002-2000000000000−2i32i30000000000000000000000000000000
χ824-4-44-244-4-4-224-42-24i−4i22-20042-2-4000000000000000004i−4i00−2i2i-22000000000000000000000−2i2i0000000000000000000000
χ834-4-44-244-4-4-224-42-2−4i4i22-20042-2-400000000000000000−4i4i002i−2i-220000000000000000000002i−2i0000000000000000000000
χ844-4-44-24-44-4-224-42-20022-200-4-224000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ854-4-44-24-44-4-224-42-20022-200-4-224000000000000000000000002-200000000000000000000000000000000000−232300000000
χ864-4-44-2-24-42-22-22214i−4i-1-1100-22-2223−2323−230000000000000−2i2i−2i32i3−2i2i1-100−33−33000000000000000i−ii3−i300000000000000000000
χ874-4-44-2-24-42-22-22214i−4i-1-1100-22-22−2323−23230000000000000−2i2i2i3−2i3−2i2i1-1003−33−3000000000000000i−i−i3i300000000000000000000
χ884-4-44-2-24-42-22-2221−4i4i-1-1100-22-2223−2323−2300000000000002i−2i2i3−2i32i−2i1-100−33−33000000000000000−ii−i3i300000000000000000000
χ894-4-44-2-24-42-22-2221−4i4i-1-1100-22-22−2323−232300000000000002i−2i−2i32i32i−2i1-1003−33−3000000000000000−iii3−i300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44444-4200-22-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ9288-8-8-4-400-44444-4200-22-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ938-88-8-4800-84-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40044-44-442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ958-88-8-4-40044-44-442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ968-8-88-4-4-884-44-444200-2-22004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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