Finite Group Databasebeta

← Group #11884316

Character table — Group #11884316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444444444466888888888888888888888121212121212121212121212121212121224242424242424242424242424242472727272
order122233446666661212121223466666881212121212121212242424244466681212122424242424242424242424242424222224466881212242424242466666681212121224244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11-11111-1-1-111-1-1-1-11-11-1
χ611111111111111111111111111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-11-1-1-1-111-11111-1-1-11-11
χ711111111111111111111111111-1-111111111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111-11111-1-11-1-1-1-111-11-11
χ811111111111111111111111111-1-111111111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-1-1-1111-1-111111-11-1
χ9111111111111111111-11-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-111
χ10111111111111111111-11-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-111-1-111-1-1
χ11111111111111111111-11-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1
χ12111111111111111111-11-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-111
χ13111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-11-1-11111-111-1
χ14111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-111-1-1-1-11-1-1-111111-1-1-1-1111-1-11
χ15111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-111-1-111-1-111-1-11111-1111-1-1-1-1-11111-1-11-1-11
χ16111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-11111-1-111-1-111111-1-1-11111-111-1-1-1-1-111-1
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2-2-20000222220-2-2-200000000000000-200002-2-2-2002200000000000002-200000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2-2-20000-2-22220-2-2-20000000000000020000-222200-2-20000000000000-2200000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-222-2-2-2-2-2000022-2-2-2022200000000000000-20000-22-2-200220000000000000-2200000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-222-2-2-2-2-20000-2-2-2-2-2022200000000000000200002-22200-2-200000000000002-200000000
χ2122222-122-1-1222-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12222002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10222200000000000022-1-1-1-1-1-1000-1-1000000
χ2222222-122-1-1222-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12222002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000000000-2-211111100011000000
χ2322222-122-1-1222-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-2-2111111111111022-2-20000000000002-2-1-1-1-11100011000000
χ2422222-122-1-1222-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-2-21111111111110-2-222000000000000-221111-1-1000-1-1000000
χ2522222-122-1-1222-12222-2-1-211-1-1-122-111-1-1-1-1-1222200-211-2-211-2-2-1-1-1-1-1-111111102222000000000000-2-2-1-111-1-100011000000
χ2622222-122-1-1222-12222-2-1-211-1-1-122-111-1-1-1-1-1222200-211-2-211-2-2-1-1-1-1-1-11111110-2-2-2-20000000000002211-1-111000-1-1000000
χ2722222-122-1-1222-12222-2-1-211-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200-2112-21122111111-1-1-1-1-1-1022-2-2000000000000-22-1-11111000-1-1000000
χ2822222-122-1-1222-12222-2-1-211-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200-2112-21122111111-1-1-1-1-1-10-2-2220000000000002-211-1-1-1-100011000000
χ292222-122222-1-1-12-1-1-1-12-1222-1-1-122222-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-12000022-1-122-1-1-1-1-1-1000000002-1-100-1-10000
χ302222-122222-1-1-12-1-1-1-12-1222-1-1-122222-1-12-1-1-1-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-20000-2-211-2-211111100000000-21100110000
χ312222-122222-1-1-12-1-1-1-12-1222-1-1-1-2-2222-1-12-1-1111122-1-1-1-2-1-1-111-2-21111-2-211112000022-1-1-2-2-1-1111100000000-2-1-100110000
χ322222-122222-1-1-12-1-1-1-12-1222-1-1-1-2-2222-1-12-1-11111-2-2-1-1-1-2-1-1-111-2-21111-2-21111-20000-2-2112211-1-1-1-10000000021100-1-10000
χ332222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-122111-21111122-1-1-1-1-2-2111120000-2-2-1-122-1-1-1-1-1-100000000-21100110000
χ342222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2111-21111122-1-1-1-1-2-21111-200002211-2-2111111000000002-1-100-1-10000
χ352222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-22-2-2-1-12-1-11111221112111-1-1-2-2111122-1-1-1-120000-2-2-1-1-2-2-1-111110000000021100-1-10000
χ362222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-21112111-1-1-2-2111122-1-1-1-1-2000022112211-1-1-1-100000000-2-1-100110000
χ372222-12-2-222-1-1-1211112-1-222-1-1-100-2-2-211-21133−3−322-1-1-101113−30033−3−30033−3−3-200002-21100-1-133−3−3000000000-11003−30000
χ382222-12-2-222-1-1-1211112-1-222-1-1-100-2-2-211-21133−3−3-2-2-1-1-101113−30033−3−30033−3−320000-22-1-10011−3−3330000000001-100−330000
χ392222-12-2-222-1-1-1211112-1-222-1-1-100-2-2-211-211−3−33322-1-1-10111−3300−3−33300−3−333-200002-21100-1-1−3−333000000000-1100−330000
χ402222-12-2-222-1-1-1211112-1-222-1-1-100-2-2-211-211−3−333-2-2-1-1-10111−3300−3−33300−3−33320000-22-1-1001133−3−30000000001-1003−30000
χ412222-12-2-222-1-1-121111-2-12-2-2-1-1-100-22211-21133−3−3221110-1-1-1−330033−3−300−3−333-20000-221100-1-133−3−30000000001-100−330000
χ422222-12-2-222-1-1-121111-2-12-2-2-1-1-100-22211-21133−3−3-2-21110-1-1-1−330033−3−300−3−333200002-2-1-10011−3−333000000000-11003−30000
χ432222-12-2-222-1-1-121111-2-12-2-2-1-1-100-22211-211−3−333221110-1-1-13−300−3−3330033−3−3-20000-221100-1-1−3−3330000000001-1003−30000
χ442222-12-2-222-1-1-121111-2-12-2-2-1-1-100-22211-211−3−333-2-21110-1-1-13−300−3−3330033−3−3200002-2-1-1001133−3−3000000000-1100−330000
χ452-2-2222-22-2-2-2-222-2-22202000-2-222-2-200-2-22222-22-2000000000002-22-22-200000002-22-2000000000000002-2002-200000000000
χ462-2-2222-22-2-2-2-222-2-22202000-2-222-2-200-2-22222-22-2000000000002-22-22-20000000-22-2200000000000000-2200-2200000000000
χ472-2-2222-22-2-2-2-222-2-22202000-2-22-22-200-2-2222-22-2200000000000-22-22-2200000002-2-22000000000000002-200-2200000000000
χ482-2-2222-22-2-2-2-222-2-22202000-2-22-22-200-2-2222-22-2200000000000-22-22-220000000-222-200000000000000-22002-200000000000
χ492-2-222-1-2211-2-22-1-2-2220-10−i3i311-12-21−i3i311-1-1-12-22-2000−i3i300−i3i300-11-11-11−i3i3−i3i3−i3i302-22-200000000000000-11−i3i3-11000−i3i3000000
χ502-2-222-1-2211-2-22-1-2-2220-10−i3i311-12-21−i3i311-1-1-12-22-2000−i3i300−i3i300-11-11-11−i3i3−i3i3−i3i30-22-22000000000000001-1i3−i31-1000i3−i3000000
χ512-2-222-1-2211-2-22-1-2-2220-10−i3i311-1-221−i3i311-1-1-1-22-22000−i3i300−i3i3001-11-11-1i3−i3i3−i3i3−i302-2-2200000000000000-11−i3i31-1000i3−i3000000
χ522-2-222-1-2211-2-22-1-2-2220-10−i3i311-1-221−i3i311-1-1-1-22-22000−i3i300−i3i3001-11-11-1i3−i3i3−i3i3−i30-222-2000000000000001-1i3−i3-11000−i3i3000000
χ532-2-222-1-2211-2-22-1-2-2220-10i3−i311-12-21i3−i311-1-1-12-22-2000i3−i300i3−i300-11-11-11i3−i3i3−i3i3−i302-22-200000000000000-11i3−i3-11000i3−i3000000
χ542-2-222-1-2211-2-22-1-2-2220-10i3−i311-12-21i3−i311-1-1-12-22-2000i3−i300i3−i300-11-11-11i3−i3i3−i3i3−i30-22-22000000000000001-1−i3i31-1000−i3i3000000
χ552-2-222-1-2211-2-22-1-2-2220-10i3−i311-1-221i3−i311-1-1-1-22-22000i3−i300i3−i3001-11-11-1−i3i3−i3i3−i3i302-2-2200000000000000-11i3−i31-1000−i3i3000000
χ562-2-222-1-2211-2-22-1-2-2220-10i3−i311-1-221i3−i311-1-1-1-22-22000i3−i300i3−i3001-11-11-1−i3i3−i3i3−i3i30-222-2000000000000001-1−i3i3-11000i3−i3000000
χ5744444-2-4-4-2-2444-2-4-4-4-44-2-4-2-2-2-2-200222222220000004-2-20-42200000000000000000000000000000000000000000000000000
χ5844444-2-4-4-2-2444-2-4-4-4-4-4-2422-2-2-2002-2-222222000000-42204-2-200000000000000000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-2-2-2-2-2414-2-211144-2-2-211-211-2-2-2-200-2114-211-2-2-2-21111-2-21111000000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2-2-2-2-2414-2-2111-4-4-2-2-211-211222200-211-4-2112222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-2-2-2-2-41-42211144-22211-211-2-2-2-2002-1-1-42-1-122-2-2111122-1-1-1-1000000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-2-2-2-2-41-422111-4-4-22211-2112222002-1-142-1-1-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-2222241-4-2-211100222-1-12-1-12323−23−2300-21102-1-123−2300−3−33300−3−333000000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-2222241-4-2-211100222-1-12-1-1−23−23232300-21102-1-1−23230033−3−30033−3−3000000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-22222-41422111002-2-2-1-12-1-12323−23−23002-1-10-211−232300−3−3330033−3−3000000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-22222-41422111002-2-2-1-12-1-1−23−232323002-1-10-21123−230033−3−300−3−333000000000000000000000000000000000000
χ6744-4-444004-44-4-4-40000040004-4-40000000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ6844-4-444004-44-4-4-40000040004-4-400000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ6944-4-4-24004-4-222-423−2323−230-2000-2220000023−23023−23000000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ7044-4-4-24004-4-222-423−2323−230-2000-2220000023−23023−230000000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ7144-4-4-24004-4-222-4−2323−23230-2000-22200000−23230−2323000000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ7244-4-4-24004-4-222-4−2323−23230-2000-22200000−23230−23230000000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ734-44-44400-44-44-4-4000004000-44-4000000000000004i−4i000000000000000000000000000000004i−4i00000000000000000000000
χ744-44-44400-44-44-4-4000004000-44-400000000000000−4i4i00000000000000000000000000000000−4i4i00000000000000000000000
χ754-44-4-2400-442-22-423−23−23230-20002-220000023−230−232300004i−4i0000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ764-44-4-2400-442-22-423−23−23230-20002-220000023−230−23230000−4i4i00000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ774-44-4-2400-442-22-4−232323−230-20002-2200000−2323023−2300004i−4i00000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ784-44-4-2400-442-22-4−232323−230-20002-2200000−2323023−230000−4i4i0000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ794-4-44444-4-4-4-4-44444-4-404000-4-440040044-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ804-4-444-24-422-4-44-244-4-40-20−2i32i322-200-22i3−2i3-2-22220000000−2i32i3002i3−2i300000000000000000000000000000000000000000000000000
χ814-4-444-24-422-4-44-244-4-40-202i3−2i322-200-2−2i32i3-2-222200000002i3−2i300−2i32i300000000000000000000000000000000000000000000000000
χ824-4-44-244-4-4-422-24-2-2220-200022-200400-2-2-42223−23−2323000000000000023−23−2323000000000000000000000000000000000000000000
χ834-4-44-244-4-4-422-24-2-2220-200022-200400-2-2-422−232323−230000000000000−232323−23000000000000000000000000000000000000000000
χ844-4-44-24-44-4-422-2422-2-20-200022-24-4-400224-2-2-22-22000000000004-4-22-22000000000000000000000000000000000000000000
χ854-4-44-24-44-4-422-2422-2-20-200022-2-44-400224-2-22-22-200000000000-442-22-2000000000000000000000000000000000000000000
χ864-4-44-2-24-42222-2-2-2-222010−2i32i3-1-1100-22i3−2i3112-1-123−23−2323000i3−i300−i3i30000−333−300−3i3i3i−3i000000000000000000000000000000000000
χ874-4-44-2-24-42222-2-2-2-222010−2i32i3-1-1100-22i3−2i3112-1-1−232323−23000i3−i300−i3i300003−3−33003i−3i−3i3i000000000000000000000000000000000000
χ884-4-44-2-24-42222-2-2-2-2220102i3−2i3-1-1100-2−2i32i3112-1-123−23−2323000−i3i300i3−i30000−333−3003i−3i−3i3i000000000000000000000000000000000000
χ894-4-44-2-24-42222-2-2-2-2220102i3−2i3-1-1100-2−2i32i3112-1-1−232323−23000−i3i300i3−i300003−3−3300−3i3i3i−3i000000000000000000000000000000000000
χ904-4-44-2-2-442222-2-222-2-2010−2i32i3-1-114-42−2i32i3-1-1-211-22-22000i3−i300i3−i300-221-11-1−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ914-4-44-2-2-442222-2-222-2-2010−2i32i3-1-11-442−2i32i3-1-1-2112-22-2000i3−i300i3−i3002-2-11-112i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ924-4-44-2-2-442222-2-222-2-20102i3−2i3-1-114-422i3−2i3-1-1-211-22-22000−i3i300−i3i300-221-11-12i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ934-4-44-2-2-442222-2-222-2-20102i3−2i3-1-11-4422i3−2i3-1-1-2112-22-2000−i3i300−i3i3002-2-11-11−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ9488-8-88-400-448-8-8400000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44-444443−4343−43020002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-4444−4343−4343020002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ978-88-88-4004-4-88-8400000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4004-44-44443−43−434302000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4004-44-444−434343−4302000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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