Finite Group Databasebeta

← Group #11887635

Character table — Group #11887635

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122222334466666666663444666666666121212121212888841212121212121212121212121212121212121212124488888824242424242424242244444121212122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-1-11-11-11
χ101111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-11-11-1
χ111111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11111-1-11-1-111-1
χ121111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-111-111-1-11
χ131111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-111-11-1
χ141111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1111-1-11-11
χ151111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-11-1-11
χ161111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1111-1-111-1-1-1-111-11-111-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ192222222-1222-122222-12-1-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
χ202222222-1222-122222-12-1-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-20-200001111001100
χ212222222-1222-122222-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-11111111100220022000000000000-20-20000-1-1-1-1001100
χ222222222-1222-122222-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-11111111100-2-200-2-20000000000002020000111100-1-100
χ23222222-1222-12-1-1-1-1-12-12-122222-1-1-1-1-1-1-1-1-1-122-122222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ24222222-1222-12-1-1-1-1-12-12-122222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-22-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111100000-2011110000000000
χ25222222-1222-12-1-1-1-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-12222-211112-2-2-2-2-1-1-1-111111111-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ26222222-1222-12-1-1-1-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-211112-2-2-2-2-1-1-1-1111111112200-2-200111111110000020-1-1-1-10000000000
χ272222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-2-200000000020000-2-22200000000000000000000000022-2-200000000000-220000
χ282222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-2-200000000020000-2-222000000000000000000000000-2-222000000000002-20000
χ292222-2-22-1222-1-2-2-2-22-12-1-1-22211-1-11111-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-11111002200-2-200000000000020-20000-1-111001-100
χ302222-2-22-1222-1-2-2-2-22-12-1-1-22211-1-11111-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-1111100-2-20022000000000000-202000011-1-100-1100
χ312222-2-22-1222-1-2-2-2-22-12-1-1-2-2-211-1-11111-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-1002200-2-2000000000000-2020000-1-11100-1100
χ322222-2-22-1222-1-2-2-2-22-12-1-1-2-2-211-1-11111-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-100-2-2002200000000000020-2000011-1-1001-100
χ332222-2-2-1222-121111-12-12-1-222-2-2-1-11111-1-11122-12222-2-1-111-222-2-2-1-111-1-1-1-111112200-2-200-1-1-1-1111100000-20-1-1110000000000
χ342222-2-2-1222-121111-12-12-1-222-2-2-1-11111-1-11122-1-2-2-2-2-2-1-111-222-2-2-1-111-1-1-1-11111-2-20022001111-1-1-1-1000002011-1-10000000000
χ352222-2-2-1222-121111-12-12-1-2-2-2-2-2-1-11111-1-11122-12222211-1-1-2-2-222-1-1111111-1-1-1-1-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-2-2-1222-121111-12-12-1-2-2-2-2-2-1-11111-1-11122-1-2-2-2-2211-1-1-2-2-222-1-1111111-1-1-1-1220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-22-222002222-2-2-2-2-2-220002-22-222-2-2-200000022−2−20000000000000000000000002−22−22−222−2−222−2−22-22-200000002−22−2000000
χ3822-2-22-222002222-2-2-2-2-2-220002-22-222-2-2-200000022−2−2000000000000000000000000−222−2−2222−2−222−2−2-22-220000000−22−22000000
χ3922-2-22-222002222-2-2-2-2-2-220002-22-222-2-2-2000000−2−2220000000000000000000000002−2−222−2−2−222−2−222-22-2200000002−22−2000000
χ4022-2-22-222002222-2-2-2-2-2-220002-22-222-2-2-2000000−2−222000000000000000000000000−22−22−22−2−222−2−2222-22-20000000−22−22000000
χ4122-2-2-22220022-2-222-2-2-2-22000-222-2-2-222-200000022−2−20000000000000000000000002−2−22−2222−2−2−2−222-222-200000002−2−22000000
χ4222-2-2-22220022-2-222-2-2-2-22000-222-2-2-222-200000022−2−2000000000000000000000000−22−222−222−2−2−2−2222-2-220000000−222−2000000
χ4322-2-2-22220022-2-222-2-2-2-22000-222-2-2-222-2000000−2−2220000000000000000000000002−22−2−22−2−22222−2−22-2-2200000002−2−22000000
χ4422-2-2-22220022-2-222-2-2-2-22000-222-2-2-222-2000000−2−222000000000000000000000000−222−22−2−2−22222−2−2-222-20000000−222−2000000
χ452-22-200222-2-2-200002-2-22202-200-2-2000022002-2-22i−2i2i−2i02-20002-2002-20022-2-200002i−2i0000002i−2i2i−2i000000000002i−2i000000000000
χ462-22-200222-2-2-200002-2-22202-200-2-2000022002-2-2−2i2i−2i2i02-20002-2002-20022-2-20000−2i2i000000−2i2i−2i2i00000000000−2i2i000000000000
χ472-22-200222-2-2-200002-2-2220-2200-2-2000022002-2-22i−2i2i−2i0-22000-22002-200-2-2220000−2i2i0000002i−2i2i−2i00000000000−2i2i000000000000
χ482-22-200222-2-2-200002-2-2220-2200-2-2000022002-2-2−2i2i−2i2i0-22000-22002-200-2-22200002i−2i000000−2i2i−2i2i000000000002i−2i000000000000
χ492-22-200-122-21-2−i3i3−i3i3-1-212-102-20011−i3i3−i3i3-1-1−i3i32-212i−2i2i−2i0-11−i3i302-200-11−i3i3-1-111−i3−i3i3i32i−2i000000−ii−ii3−33−30000000−ii3−30000000000
χ502-22-200-122-21-2−i3i3−i3i3-1-212-102-20011−i3i3−i3i3-1-1−i3i32-21−2i2i−2i2i0-11−i3i302-200-11−i3i3-1-111−i3−i3i3i3−2i2i000000i−ii−i−33−330000000i−i−330000000000
χ512-22-200-122-21-2−i3i3−i3i3-1-212-10-220011−i3i3−i3i3-1-1−i3i32-212i−2i2i−2i01-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i3−2i2i000000−ii−ii3−33−30000000i−i−330000000000
χ522-22-200-122-21-2−i3i3−i3i3-1-212-10-220011−i3i3−i3i3-1-1−i3i32-21−2i2i−2i2i01-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i32i−2i000000i−ii−i−33−330000000−ii3−30000000000
χ532-22-200-122-21-2i3−i3i3−i3-1-212-102-20011i3−i3i3−i3-1-1i3−i32-212i−2i2i−2i0-11i3−i302-200-11i3−i3-1-111i3i3−i3−i32i−2i000000−ii−ii−33−330000000−ii−330000000000
χ542-22-200-122-21-2i3−i3i3−i3-1-212-102-20011i3−i3i3−i3-1-1i3−i32-21−2i2i−2i2i0-11i3−i302-200-11i3−i3-1-111i3i3−i3−i3−2i2i000000i−ii−i3−33−30000000i−i3−30000000000
χ552-22-200-122-21-2i3−i3i3−i3-1-212-10-220011i3−i3i3−i3-1-1i3−i32-212i−2i2i−2i01-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i3−2i2i000000−ii−ii−33−330000000i−i3−30000000000
χ562-22-200-122-21-2i3−i3i3−i3-1-212-10-220011i3−i3i3−i3-1-1i3−i32-21−2i2i−2i2i01-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i32i−2i000000i−ii−i3−33−30000000−ii−330000000000
χ574444444-2-4-44-244444-24-2-2-400-2-2-2-2-2-2-2-2-2-4-4-422-4000000000200002222000000000000000000000000000000000000000000000
χ58444444-24-4-4-24-2-2-2-2-24-24-2-40044-2-2-2-2-2-2-2222-4-42000000000-400002222000000000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ60444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-2-20000-42222-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222200000000020000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ62444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222200000000020000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ634444-4-44-2-4-44-2-4-4-4-44-24-2-240022-2-22222-2-44422-4000000000-2000022-2-2000000000000000000000000000000000000000000000
χ644444-4-4-24-4-4-242222-24-24-2400-4-4-2-22222-22-2-2-4-420000000004000022-2-2000000000000000000000000000000000000000000000
χ654444-4-4-2-244-2-22222-2-2-2-21-4442211-1-1-1-11-222-2-2-20000-4-2-2222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-4-4-2-244-2-22222-2-2-2-21-4-4-42211-1-1-1-11-222-2-2-20000422-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-2222000000000-20000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-2222000000000-20000-1-111-33-333-33-30000000000000000000000000000000000000
χ6944-4-44-44-2004-244-4-4-42-42-2000-22-22-2-2222000000000000000000000000000000000022−220022−220000000000000000000−22−22000000
χ7044-4-44-44-2004-244-4-4-42-42-2000-22-22-2-22220000000000000000000000000000000000−222200−222200000000000000000002−22−2000000
χ7144-4-44-4-2400-24-2-2222-42-4-20004-4-22-2-22220000002222−22−220000000000000000000000000022−2200−2−222−2−222000000000000000000000
χ7244-4-44-4-2400-24-2-2222-42-4-20004-4-22-2-2222000000−22−22222200000000000000000000000000−22220022−2−222−2−2000000000000000000000
χ7344-4-4-444-2004-2-4-444-42-42-20002-2-2222-2-22000000000000000000000000000000000022−2200−22220000000000000000000−222−2000000
χ7444-4-4-444-2004-2-4-444-42-42-20002-2-2222-2-220000000000000000000000000000000000−22220022−2200000000000000000002−2−22000000
χ7544-4-4-44-2400-2422-2-22-42-4-2000-44-2222-2-220000002222−22−2200000000000000000000000000−222200−2−22222−2−2000000000000000000000
χ7644-4-4-44-2400-2422-2-22-42-4-2000-44-2222-2-22000000−22−2222220000000000000000000000000022−220022−2−2−2−222000000000000000000000
χ774-44-40044-44-4-400004-4-44400000-4-400004-400-44400000000000000-4400000000000000000000000000000000000000000000000
χ784-44-4004-24-4-42000042-4-2-204-400220000-2400-22-4000004-4000-2200-2200-2-22200000000000000000000000000000000000000000
χ794-44-4004-24-4-42000042-4-2-20-4400220000-2400-22-400000-440002-200-220022-2-200000000000000000000000000000000000000000
χ804-44-4004-2-44-42000042-4-2-200000220000-2-4002-24000000000000−2i32i32-2000000−2i32i32i3−2i30000000000000000000000000000000000000
χ814-44-4004-2-44-42000042-4-2-200000220000-2-4002-240000000000002i3−2i32-20000002i3−2i3−2i32i30000000000000000000000000000000000000
χ824-44-400-24-442-4−2i32i3−2i32i3-2-424-20000022−2i32i3−2i32i3-222i3−2i3-44-2000000000000002-22i3−2i3000000000000000000000000000000000000000000000
χ834-44-400-24-442-42i3−2i32i3−2i3-2-424-200000222i3−2i32i3−2i3-22−2i32i3-44-2000000000000002-2−2i32i3000000000000000000000000000000000000000000000
χ844-44-400-2-24-422−2i32i3−2i32i3-222-2104-400-1-1i3−i3i3−i31-2−2i32i3-22200000-22−2i32i30-22001-1i3−i311-1-1i3i3−i3−i30000000000000000000000000000000000000
χ854-44-400-2-24-422−2i32i3−2i32i3-222-210-4400-1-1i3−i3i3−i31-2−2i32i3-222000002-22i3−2i302-2001-1i3−i3-1-111−i3−i3i3i30000000000000000000000000000000000000
χ864-44-400-2-24-4222i3−2i32i3−2i3-222-2104-400-1-1−i3i3−i3i31-22i3−2i3-22200000-222i3−2i30-22001-1−i3i311-1-1−i3−i3i3i30000000000000000000000000000000000000
χ874-44-400-2-24-4222i3−2i32i3−2i3-222-210-4400-1-1−i3i3−i3i31-22i3−2i3-222000002-2−2i32i302-2001-1−i3i3-1-111i3i3−i3−i30000000000000000000000000000000000000
χ884-44-400-2-2-4422−2i32i3−2i32i3-222-2100000-1-1i3−i3i3−i3122i3−2i32-2-2000000000000−2i32i3-11−i3i3-333-3i3−i3−i3i30000000000000000000000000000000000000
χ894-44-400-2-2-4422−2i32i3−2i32i3-222-2100000-1-1i3−i3i3−i3122i3−2i32-2-20000000000002i3−2i3-11−i3i33-3-33−i3i3i3−i30000000000000000000000000000000000000
χ904-44-400-2-2-44222i3−2i32i3−2i3-222-2100000-1-1−i3i3−i3i312−2i32i32-2-2000000000000−2i32i3-11i3−i33-3-33i3−i3−i3i30000000000000000000000000000000000000
χ914-44-400-2-2-44222i3−2i32i3−2i3-222-2100000-1-1−i3i3−i3i312−2i32i32-2-20000000000002i3−2i3-11i3−i3-333-3−i3i3i3−i30000000000000000000000000000000000000
χ924-4-44004400-4-40000-444-4400000-440000-4000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ934-4-44004400-4-40000-444-4400000-440000-40000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ944-4-4400-24002-4−2i32i32i3−2i324-2-4-2000002-2−2i32i32i3−2i32000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−666−6000000000000000000000
χ954-4-4400-24002-4−2i32i32i3−2i324-2-4-2000002-2−2i32i32i3−2i320000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i26−6−66000000000000000000000
χ964-4-4400-24002-42i3−2i3−2i32i324-2-4-2000002-22i3−2i3−2i32i32000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i26−6−66000000000000000000000
χ974-4-4400-24002-42i3−2i3−2i32i324-2-4-2000002-22i3−2i3−2i32i320000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−666−6000000000000000000000
χ9888-8-88-8-4-400-4-4-4-44444442000-442-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-400-4-444-4-4444420004-42-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400-840000-8-484-4000004-400004000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40044−4i34i34i3−4i34-4-44200000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400444i3−4i3−4i34i34-4-44200000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000

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