Finite Group Databasebeta

← Group #11888609

Character table — Group #11888609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444444444466888888888888888888888121212121212121212121212121212121224242424242424242424242424242472727272
order1222334466666612121212234666668812121212121212122424242444666812121224242424242424242424242424242224444668812122424242444668121212121212121224242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1
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
χ511111111111111111111111111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-1111-11111-1-1-1-1-1-1-111-1
χ611111111111111111111111111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-11-1-11
χ711111111111111111111111111-1-111111111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-11111-1-111-1-1-1-1111-1-11
χ811111111111111111111111111-1-111111111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-11-1-1-1-1111111-111-1
χ9111111111111111111-11-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-11111111111-1-111-1-1-1-1-111-1-1-1-1-11-11
χ10111111111111111111-11-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-11-11-1
χ11111111111111111111-11-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1111-11-1
χ12111111111111111111-11-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-11-11
χ13111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-11-1111-1-1-1-1-1-1111111-1-1
χ14111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-11111111-1-1-111-111-1-111-1-1-1-1-11-1-11-1-11111-1-111-1-111
χ15111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1111-1-11-1-111-1-111111-111-111-1-1-1-111-1-1-1-111
χ16111111111111111111-11-1-1-1111-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-11111-1-111-1-11111-11-1-1-1111111-1-1-1-111-1-1
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2-2-20000222220-2-2-200000000000000-200200-2-2-200220000000002-2000000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2-2-20000-2-22220-2-2-200000000000000200-20022200-2-2000000000-22000000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-222-2-2-2-2-2000022-2-2-2022200000000000000-200-2002-2-20022000000000-22000000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-222-2-2-2-2-20000-2-2-2-2-2022200000000000000200200-22200-2-20000000002-2000000000000
χ2122222-122-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12222002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10220220000000000022-1-1000-1-1-1-1-1-1000000
χ2222222-122-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12222002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-200000000000-2-211000111111000000
χ2322222-122-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-2-21111111111110220-2-200000000000-22-1-1000-1-11111000000
χ2422222-122-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-2-21111111111110-2-2022000000000002-21100011-1-1-1-1000000
χ2522222-122-1222-1-12222-2-1-211-1-1-122-111-1-1-1-1-1222200-211-2-211-2-2-1-1-1-1-1-111111102202200000000000-2-2-1-100011-1-111000000
χ2622222-122-1222-1-12222-2-1-211-1-1-122-111-1-1-1-1-1222200-211-2-211-2-2-1-1-1-1-1-11111110-2-20-2-2000000000002211000-1-111-1-1000000
χ2722222-122-1222-1-12222-2-1-211-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200-2112-21122111111-1-1-1-1-1-10220-2-2000000000002-2-1-10001111-1-1000000
χ2822222-122-1222-1-12222-2-1-211-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200-2112-21122111111-1-1-1-1-1-10-2-202200000000000-2211000-1-1-1-111000000
χ292222-12222-1-1-122-1-1-1-12-1222-1-1-122222-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-12002002-1-122-1-1-1-1-1-100002-1-1000000-1-10000
χ302222-12222-1-1-122-1-1-1-12-1222-1-1-122222-1-12-1-1-1-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-200-200-211-2-21111110000-211000000110000
χ312222-12222-1-1-122-1-1-1-12-1222-1-1-1-2-2222-1-12-1-1111122-1-1-1-2-1-1-111-2-21111-2-211112002002-1-1-2-2-1-111110000-2-1-1000000110000
χ322222-12222-1-1-122-1-1-1-12-1222-1-1-1-2-2222-1-12-1-11111-2-2-1-1-1-2-1-1-111-2-21111-2-21111-200-200-2112211-1-1-1-10000211000000-1-10000
χ332222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-122111-21111122-1-1-1-1-2-21111200-200-2-1-122-1-1-1-1-1-10000-211000000110000
χ342222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2111-21111122-1-1-1-1-2-21111-200200211-2-211111100002-1-1000000-1-10000
χ352222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-22-2-2-1-12-1-11111221112111-1-1-2-2111122-1-1-1-1200-200-2-1-1-2-2-1-111110000211000000-1-10000
χ362222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-21112111-1-1-2-2111122-1-1-1-1-2002002112211-1-1-1-10000-2-1-1000000110000
χ372222-12-2-22-1-1-12211112-1-222-1-1-100-2-2-211-21133−3−322-1-1-101113−30033−3−30033−3−3-200200-21100-1-133−3−300000-110000003−30000
χ382222-12-2-22-1-1-12211112-1-222-1-1-100-2-2-211-21133−3−3-2-2-1-1-101113−30033−3−30033−3−3200-2002-1-10011−3−333000001-1000000−330000
χ392222-12-2-22-1-1-12211112-1-222-1-1-100-2-2-211-211−3−33322-1-1-10111−3300−3−33300−3−333-200200-21100-1-1−3−33300000-11000000−330000
χ402222-12-2-22-1-1-12211112-1-222-1-1-100-2-2-211-211−3−333-2-2-1-1-10111−3300−3−33300−3−333200-2002-1-1001133−3−3000001-10000003−30000
χ412222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-22211-21133−3−3221110-1-1-1−330033−3−300−3−333-200-20021100-1-133−3−3000001-1000000−330000
χ422222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-22211-21133−3−3-2-21110-1-1-1−330033−3−300−3−333200200-2-1-10011−3−33300000-110000003−30000
χ432222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-22211-211−3−333221110-1-1-13−300−3−3330033−3−3-200-20021100-1-1−3−333000001-10000003−30000
χ442222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-22211-211−3−333-2-21110-1-1-13−300−3−3330033−3−3200200-2-1-1001133−3−300000-11000000−330000
χ452-22-2222-2-2-2-222-222-2-202000-2-222i−2i20022-2-2-22i−2i2i−2i000000000002i−2i2i−2i2i−2i00000002-202i−2i00000000000002-2000002i−2i00000000
χ462-22-2222-2-2-2-222-222-2-202000-2-222i−2i20022-2-2-22i−2i2i−2i000000000002i−2i2i−2i2i−2i0000000-220−2i2i0000000000000-2200000−2i2i00000000
χ472-22-2222-2-2-2-222-222-2-202000-2-22−2i2i20022-2-2-2−2i2i−2i2i00000000000−2i2i−2i2i−2i2i00000002-20−2i2i00000000000002-200000−2i2i00000000
χ482-22-2222-2-2-2-222-222-2-202000-2-22−2i2i20022-2-2-2−2i2i−2i2i00000000000−2i2i−2i2i−2i2i0000000-2202i−2i0000000000000-22000002i−2i00000000
χ492-22-22-12-21-2-22-1122-2-20-10−i3i311-12i−2i-1−i3i3-1-11112i−2i2i−2i000−i3i300−i3i300−ii−ii−ii3−33−33−302-202i−2i0000000000000-11000−i3i3−ii3−3000000
χ502-22-22-12-21-2-22-1122-2-20-10−i3i311-12i−2i-1−i3i3-1-11112i−2i2i−2i000−i3i300−i3i300−ii−ii−ii3−33−33−30-220−2i2i00000000000001-1000i3−i3i−i−33000000
χ512-22-22-12-21-2-22-1122-2-20-10−i3i311-1−2i2i-1−i3i3-1-1111−2i2i−2i2i000−i3i300−i3i300i−ii−ii−i−33−33−3302-20−2i2i0000000000000-11000−i3i3i−i−33000000
χ522-22-22-12-21-2-22-1122-2-20-10−i3i311-1−2i2i-1−i3i3-1-1111−2i2i−2i2i000−i3i300−i3i300i−ii−ii−i−33−33−330-2202i−2i00000000000001-1000i3−i3−ii3−3000000
χ532-22-22-12-21-2-22-1122-2-20-10i3−i311-12i−2i-1i3−i3-1-11112i−2i2i−2i000i3−i300i3−i300−ii−ii−ii−33−33−3302-202i−2i0000000000000-11000i3−i3−ii−33000000
χ542-22-22-12-21-2-22-1122-2-20-10i3−i311-12i−2i-1i3−i3-1-11112i−2i2i−2i000i3−i300i3−i300−ii−ii−ii−33−33−330-220−2i2i00000000000001-1000−i3i3i−i3−3000000
χ552-22-22-12-21-2-22-1122-2-20-10i3−i311-1−2i2i-1i3−i3-1-1111−2i2i−2i2i000i3−i300i3−i300i−ii−ii−i3−33−33−302-20−2i2i0000000000000-11000i3−i3i−i3−3000000
χ562-22-22-12-21-2-22-1122-2-20-10i3−i311-1−2i2i-1i3−i3-1-1111−2i2i−2i2i000i3−i300i3−i300i−ii−ii−i3−33−33−30-2202i−2i00000000000001-1000−i3i3−ii−33000000
χ5744444-2-4-4-2444-2-2-4-4-4-44-2-4-2-2-2-2-200222222220000004-2-20-42200000000000000000000000000000000000000000000000000
χ5844444-2-4-4-2444-2-2-4-4-4-4-4-2422-2-2-2002-2-222222000000-42204-2-200000000000000000000000000000000000000000000000000
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
χ6744-4-44400-44-4-4-440000040004-4-40000000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ6844-4-44400-44-4-4-440000040004-4-400000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ6944-4-4-2400-4-222-4423−2323−230-2000-2220000023−23023−23000000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ7044-4-4-2400-4-222-4423−2323−230-2000-2220000023−23023−230000000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ7144-4-4-2400-4-222-44−2323−23230-2000-22200000−23230−2323000000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ7244-4-4-2400-4-222-44−2323−23230-2000-22200000−23230−23230000000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ734-44-444-44-4-4-444-4-4-44404000-4-4400-400-4-4444000000000000000000000000000000000000000000000000000000000000000
χ744-44-44-2-442-4-44-22-4-4440-20−2i32i322-20022i3−2i322-2-2-20000000−2i32i3002i3−2i300000000000000000000000000000000000000000000000000
χ754-44-44-2-442-4-44-22-4-4440-202i3−2i322-2002−2i32i322-2-2-200000002i3−2i300−2i32i300000000000000000000000000000000000000000000000000
χ764-44-4-244-4-422-24-4-2-2220-200022-24i−4i400-2-2-422−2i2i−2i2i000000000004i−4i−2i2i−2i2i000000000000000000000000000000000000000000
χ774-44-4-244-4-422-24-4-2-2220-200022-2−4i4i400-2-2-4222i−2i2i−2i00000000000−4i4i2i−2i2i−2i000000000000000000000000000000000000000000
χ784-44-4-24-44-422-24-422-2-20-200022-200-400224-2-2−2i32i32i3−2i30000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ794-44-4-24-44-422-24-422-2-20-200022-200-400224-2-22i3−2i3−2i32i300000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ804-44-4-2-24-4222-2-22-2-222010−2i32i3-1-114i−4i-2−2i32i3112-1-1−2i2i−2i2i000i3−i300i3−i300−2i2ii−ii−i23−23−33−33000000000000000000000000000000000000
χ814-44-4-2-24-4222-2-22-2-222010−2i32i3-1-11−4i4i-2−2i32i3112-1-12i−2i2i−2i000i3−i300i3−i3002i−2i−ii−ii−23233−33−3000000000000000000000000000000000000
χ824-44-4-2-24-4222-2-22-2-2220102i3−2i3-1-114i−4i-22i3−2i3112-1-1−2i2i−2i2i000−i3i300−i3i300−2i2ii−ii−i−23233−33−3000000000000000000000000000000000000
χ834-44-4-2-24-4222-2-22-2-2220102i3−2i3-1-11−4i4i-22i3−2i3112-1-12i−2i2i−2i000−i3i300−i3i3002i−2i−ii−ii23−23−33−33000000000000000000000000000000000000
χ844-44-4-2-2-44222-2-2222-2-2010−2i32i3-1-110022i3−2i3-1-1-211−2i32i32i3−2i3000i3−i300−i3i30000i3−i3−i3i300-333-3000000000000000000000000000000000000
χ854-44-4-2-2-44222-2-2222-2-2010−2i32i3-1-110022i3−2i3-1-1-2112i3−2i3−2i32i3000i3−i300−i3i30000−i3i3i3−i3003-3-33000000000000000000000000000000000000
χ864-44-4-2-2-44222-2-2222-2-20102i3−2i3-1-11002−2i32i3-1-1-211−2i32i32i3−2i3000−i3i300i3−i30000i3−i3−i3i3003-3-33000000000000000000000000000000000000
χ874-44-4-2-2-44222-2-2222-2-20102i3−2i3-1-11002−2i32i3-1-1-2112i3−2i3−2i32i3000−i3i300i3−i30000−i3i3i3−i300-333-3000000000000000000000000000000000000
χ884-4-4444004-44-4-4-4000004000-44-4000000000000004i−4i000000000000000000000000000000004i−4i00000000000000000000000
χ894-4-4444004-44-4-4-4000004000-44-400000000000000−4i4i00000000000000000000000000000000−4i4i00000000000000000000000
χ904-4-44-240042-22-4-423−23−23230-20002-220000023−230−232300004i−4i0000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ914-4-44-240042-22-4-423−23−23230-20002-220000023−230−23230000−4i4i00000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ924-4-44-240042-22-4-4−232323−230-20002-2200000−2323023−2300004i−4i00000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ934-4-44-240042-22-4-4−232323−230-20002-2200000−2323023−230000−4i4i0000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ9488-8-88-40048-8-84-400000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004-4444-443−4343−43020002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-4444-4−4343−4343020002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ978-8-888-400-4-88-84400000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44-444443−43−434302000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400-44-4444−434343−4302000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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