Finite Group Databasebeta

← Group #11863949

Character table — Group #11863949

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212121222224412121212446612121212121212121222224666612121212121212122466666688121224242424222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-11111-1-11111111-1-1-111-1-1-111-1-111-1-1-111-1-1-1-11-111-1-1-11-1-111-1-11-11111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-11111-1-11111111-1-1-111-1-1-111-1-1-1-111-111-1-1-1-11-111-1-1-11-1-1-1-111-1111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-11111-1-1111111-11-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-11-1-1111-11111-1-1-11-1-1-1-11111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-11111-1-1111111-11-1-1-1-1-11111-1-1-1-111-111-1-1-1-1-11-1-1111-111-1-1111-1-1-111-1-1-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-1-111-1-111-1-11-1-111111-111-1-11-11111-1-11-1-1-111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-1-111-1-1-1-1111-1-111111-111-1-11-111-1-111-11-1-1-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-11-1-11111-11-1-111-11-1-111-1-1-1111-1-111-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11111-11-1-111-11-1-1-1-1111-11111-1-111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-22222-2-2-2-2-2-2002200-200-2-2-2-20000-22222-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2222222002200-200-2-2-2-200002-2-2-2-2220000000000000000000000000000
χ192222222-12222-12-1-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-100002-1-1-1-1-1-122-1-1-1-122-1-1000000-1-10000000000
χ202222222-12222-12-1-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-1-111211-1-1-1-100002-1-1-1-1-1-1-2-21111-2-211000000110000000000
χ212222222-12222-12-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-10000-211111122-1-1-1-1-2-211000000110000000000
χ222222222-12222-12-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-2-1-111211-1-1-1-10000-2111111-2-2111122-1-1000000-1-10000000000
χ232222222-1-2-222-12-1-1-1-222-1-1-1-1-11111-2-22222-2-2111100-1-1−i3i3-2−i3i311110000-2-1-1-1-11100−i3i3−i3i300−i3i3000000−i3i30000000000
χ242222222-1-2-222-12-1-1-1-222-1-1-1-1-11111-2-22222-2-2111100-1-1i3−i3-2i3−i311110000-2-1-1-1-11100i3−i3i3−i300i3−i3000000i3−i30000000000
χ252222222-1-2-222-12-1-1-1-222-1-1-1-1-11111-2-2-2-2-2-222-1-1-1-100-1-1−i3i3-2−i3i31111000021111-1-100−i3i3−i3i300i3−i3000000i3−i30000000000
χ262222222-1-2-222-12-1-1-1-222-1-1-1-1-11111-2-2-2-2-2-222-1-1-1-100-1-1i3−i3-2i3−i31111000021111-1-100i3−i3i3−i300−i3i3000000−i3i30000000000
χ27222222-1222-1-12-122-12-1-122-1-1-12222-1-1000000000022-1-122-122-1-1-1-122220000000-1-1-1-1-1-10000-1-1-1-12200-1-1-1-1000000
χ28222222-1222-1-12-122-12-1-122-1-1-12222-1-1000000000022-1-122-122-1-1-1-1-2-2-2-20000000-1-1-1-1-1-100001111-2-2001111000000
χ29222222-1222-1-12-122-12-1-122-1-1-12222-1-10000000000-2-2-1-1-2-2-1-2-2-1-1-1-1222200000001111110000-1-1-1-1-2-2001111000000
χ30222222-1222-1-12-122-12-1-122-1-1-12222-1-10000000000-2-2-1-1-2-2-1-2-2-1-1-1-1-2-2-2-20000000111111000011112200-1-1-1-1000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-200-2-200200-2-2220000222-2-2220000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-22222222200-2-200200-2-2220000-2-2-222-2-20000000000000000000000000000
χ332222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-1112222-2-222-1-1-1-12-211-1-1-211-1-1110000-2-1-111112-2-1-111-2211000000-1-10000000000
χ342222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-1112222-2-222-1-1-1-1-221111-2-1-1-1-1110000-2-1-11111-2211-1-12-2-1-1000000110000000000
χ352222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-11122-2-222-2-211112-211-1-1-211-1-1110000211-1-1-1-12-2-1-1112-2-1-1000000110000000000
χ362222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-11122-2-222-2-21111-221111-2-1-1-1-1110000211-1-1-1-1-2211-1-1-2211000000-1-10000000000
χ372222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-1-1-2-222-2-2-2-211110011−i3i32i3−i311-1-100002-1-111-1-100−i3i3i3−i300i3−i3000000−i3i30000000000
χ382222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-1-1-2-222-2-2-2-211110011i3−i32−i3i311-1-100002-1-111-1-100i3−i3−i3i300−i3i3000000i3−i30000000000
χ392222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-1-1-2-2-2-22222-1-1-1-10011−i3i32i3−i311-1-10000-211-1-11100−i3i3i3−i300−i3i3000000i3−i30000000000
χ402222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-1-1-2-2-2-22222-1-1-1-10011i3−i32−i3i311-1-10000-211-1-11100i3−i3−i3i300i3−i3000000−i3i30000000000
χ412222-2-2-1222-1-12-122-1-211-2-2-1-1-122-2-2-1-100000000002-211221-2-2-1-11122-2-20000000-11-1-1110000-1-1112-200-1-111000000
χ422222-2-2-1222-1-12-122-1-211-2-2-1-1-122-2-2-1-100000000002-211221-2-2-1-111-2-2220000000-11-1-111000011-1-1-220011-1-1000000
χ432222-2-2-1222-1-12-122-1-211-2-2-1-1-122-2-2-1-10000000000-2211-2-2122-1-11122-2-200000001-111-1-10000-1-111-220011-1-1000000
χ442222-2-2-1222-1-12-122-1-211-2-2-1-1-122-2-2-1-10000000000-2211-2-2122-1-111-2-22200000001-111-1-1000011-1-12-200-1-111000000
χ452-2-2200222-2-2-2-22-22200000-2-222-2002-22-2002-222-2-20000000002-200002-202-200000000000000002-200000000002-200
χ462-2-2200222-2-2-2-22-22200000-2-222-2002-22-2002-222-2-20000000002-20000-2202-20000000000000000-220000000000-2200
χ472-2-2200222-2-2-2-22-22200000-2-222-2002-2-2200-22-2-2220000000002-200002-20-2200000000000000002-20000000000-2200
χ482-2-2200222-2-2-2-22-22200000-2-222-2002-2-2200-22-2-2220000000002-20000-220-220000000000000000-2200000000002-200
χ492-2-220022-22-2-2-22-22200000-2-22-2200-222-200-22-2-222000000000-22002-20002-2000000000000002-200000000002-20000
χ502-2-220022-22-2-2-22-22200000-2-22-2200-222-200-22-2-222000000000-2200-220002-200000000000000-220000000000-220000
χ512-2-220022-22-2-2-22-22200000-2-22-2200-22-22002-222-2-2000000000-22002-2000-22000000000000002-20000000000-220000
χ522-2-220022-22-2-2-22-22200000-2-22-2200-22-22002-222-2-2000000000-2200-22000-2200000000000000-2200000000002-20000
χ53444444-24-4-4-2-24-244-2-4-2-244-2-2-2-4-4-4-422000000000000-2-2002002222000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200000000004411-2-2-2-2-2111100000000000-2-211110000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000000-4-41122-22211110000000000022-1-1-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200000000000011−2i32i32−2i32i3-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000000112i3−2i322i3−2i3-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ584444-4-4-24-4-4-2-24-244-2422-4-4-2-2-2-4-444220000000000002200-20022-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-200000000004-4-1-1-2-222211-1-100000000000-2211-1-10000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-20000000000-44-1-1222-2-211-1-1000000000002-2-1-1110000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-1−2i32i3-22i3−2i3-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-12i3−2i3-2−2i32i3-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4004400-444-4-4-4400000-44-4000000004-4000000000000000000000000004-4000000000000000000000000000000
χ6444-4-4004400-444-4-4-4400000-44-400000000-4400000000000000000000000000-44000000000000000000000000000000
χ6544-4-4004-200-44-2-422-2000002-220023−2300004-40023−2323−230000000000023−230000000-22000000000000000000000000000000
χ6644-4-4004-200-44-2-422-2000002-220023−230000-4400−2323−23230000000000023−2300000002-2000000000000000000000000000000
χ6744-4-4004-200-44-2-422-2000002-2200−232300004-400−2323−232300000000000−23230000000-22000000000000000000000000000000
χ6844-4-4004-200-44-2-422-2000002-2200−23230000-440023−2323−2300000000000−232300000002-2000000000000000000000000000000
χ694-44-44-444004-4-4-44-4404-44-44-4-40000000000000000004-4000000000000000000000000000000000000000000000000
χ704-44-44-44-2004-42-4-22-204-4-22-22200000000000023−23−232300-2200000000000000000023−230000000000000000000000000000
χ714-44-44-44-2004-42-4-22-204-4-22-222000000000000−232323−2300-22000000000000000000−23230000000000000000000000000000
χ724-44-44-4-2400-22-424-4-20-224-4-222000000000000000000-22000000000000000000000000000000000000006−66−6000000
χ734-44-44-4-2400-22-424-4-20-224-4-222000000000000000000-2200000000000000000000000000000000000000−66−66000000
χ744-44-4-4444004-4-4-44-440-44-444-4-4000000000000000000-44000000000000000000000000000000000000000000000000
χ754-44-4-444-2004-42-4-22-20-442-2-22200000000000023−23−2323002-2000000000000000000−23230000000000000000000000000000
χ764-44-4-444-2004-42-4-22-20-442-2-222000000000000−232323−23002-200000000000000000023−230000000000000000000000000000
χ774-44-4-44-2400-22-424-4-202-2-44-2220000000000000000002-2000000000000000000000000000000000000006−6−66000000
χ784-44-4-44-2400-22-424-4-202-2-44-2220000000000000000002-200000000000000000000000000000000000000−666−6000000
χ794-4-44004-24-4-4-4242-2-20000022-2-22004-44-4004-4-2-222000000000-220000000-2200000000000000000000000000000000
χ804-4-44004-24-4-4-4242-2-20000022-2-22004-4-4400-4422-2-2000000000-2200000002-200000000000000000000000000000000
χ814-4-44004-2-44-4-4242-2-20000022-22-200-444-400-4422-2-20000000002-20000000-2200000000000000000000000000000000
χ824-4-44004-2-44-4-4242-2-20000022-22-200-44-44004-4-2-2220000000002-200000002-200000000000000000000000000000000
χ834-4-4400-244-422-4-2-44-20000022-24-400-220000000000000000000-2200004-40000000000000000000-2200000000000000
χ844-4-4400-244-422-4-2-44-20000022-24-400-220000000000000000000-220000-4400000000000000000002-200000000000000
χ854-4-4400-24-4422-4-2-44-20000022-2-44002-200000000000000000002-2004-40000000000000000000-220000000000000000
χ864-4-4400-24-4422-4-2-44-20000022-2-44002-200000000000000000002-200-4400000000000000000002-20000000000000000
χ8788-8-800-48004-484-8-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-4-4004-4-4444200000-22-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ8988-8-800-4-4004-4-4444200000-22-200−43430000000000000000000000023−23000000000000000000000000000000000000000
χ908-88-88-8-4-400-4444-4420-44-442-2-20000000000000000002-2000000000000000000000000000000000000000000000000
χ918-88-8-88-4-400-4444-44204-44-42-2-2000000000000000000-22000000000000000000000000000000000000000000000000
χ928-8-8800-4-48-8444-44-4200000-2-22-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-8800-4-4-88444-44-4200000-2-224-4004-40000000000000000000-2200000000000000000000000000000000000000000

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