Finite Group Databasebeta

← Group #11878724

Character table — Group #11878724

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212121244444412121212246666121212121212124888812121212121266612121224446612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-111-1-111-1-111111-1-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-11111-1-111111-1-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-111-1-111-1-111-1-1-1111-11-11-1-111-1-11111-1-111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1111-111-1-1-11111-1-1-1-111-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-11111111-111-1-1-1-1-111-1-1111-1-1-1-111-1-1111-1-1-1-111-1-1-11111-1-111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-11111111-111-1-1-1-1-111-1-11-1-111-1-111-1-1111-1-1-1-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-1111111-11-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-1111111-11-1-1-1-1-11111-1-11-1-111-1-111-1-1-1-1-11111-11-111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2000022-200-2-2-2-2200002222-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-222222222000022-200-2-2-2-2-20000-2-2-2-2220000000000000000000000000000
χ192222222-12222-1-12-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-1-1-1-1-1-12-1-12-1-12200-1-1-1-100000000000000
χ202222222-12222-1-12-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-211-1-1211-1-1-1-120000-1-1-1-1-1-1-211-211-2-200111100000000000000
χ212222222-12222-1-12-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-200001111112-1-12-1-1-2-200111100000000000000
χ222222222-12222-1-12-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-211-1-1211-1-1-1-1-20000111111-211-2112200-1-1-1-100000000000000
χ232222222-1-2-222-1-12-1-1-222-1-1-1-1-11111-2-222-2-2-2-2111100−i3i3-1-1-2−i3i3111120000-1-1-1-1110−i3i30−i3i30000−i3i3−i3i300000000000000
χ242222222-1-2-222-1-12-1-1-222-1-1-1-1-11111-2-222-2-2-2-2111100i3−i3-1-1-2i3−i3111120000-1-1-1-1110i3−i30i3−i30000i3−i3i3−i300000000000000
χ252222222-1-2-222-1-12-1-1-222-1-1-1-1-11111-2-2-2-22222-1-1-1-100−i3i3-1-1-2−i3i31111-200001111-1-10−i3i30−i3i30000i3−i3i3−i300000000000000
χ262222222-1-2-222-1-12-1-1-222-1-1-1-1-11111-2-2-2-22222-1-1-1-100i3−i3-1-1-2i3−i31111-200001111-1-10i3−i30i3−i30000−i3i3−i3i300000000000000
χ27222222-1222-1-122-12-12-1-122-1-1-12222-1-100000000002222-1-1-122-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ28222222-1222-1-122-12-12-1-122-1-1-12222-1-100000000002222-1-1-122-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ29222222-1222-1-122-12-12-1-122-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-10222200000011111100-2-200001111-1-1-1-1000000
χ30222222-1222-1-122-12-12-1-122-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-10-2-2-2-200000011111100220000-1-1-1-11111000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-22222220000-2-2200-2-222-2000022-2-2-2-20000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-20000-2-2200-2-22220000-2-222220000000000000000000000000000
χ332222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-111222222-2-211112-2-1-111-211-1-111-20000-1-111-1-12-1-1-2112-200-1-11100000000000000
χ342222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-111222222-2-21111-221111-2-1-1-1-111-20000-1-111-1-1-2112-1-1-220011-1-100000000000000
χ352222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-11122-2-2-2-222-1-1-1-12-2-1-111-211-1-1112000011-1-1112-1-1-211-220011-1-100000000000000
χ362222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-11122-2-2-2-222-1-1-1-1-221111-2-1-1-1-1112000011-1-111-2112-1-12-200-1-11100000000000000
χ372222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-1-1-2-222-2-222-1-1-1-100−i3i3112i3−i311-1-1-20000-1-111110−i3i30i3−i30000−i3i3i3−i300000000000000
χ382222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-1-1-2-222-2-222-1-1-1-100i3−i3112−i3i311-1-1-20000-1-111110i3−i30−i3i30000i3−i3−i3i300000000000000
χ392222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-1-1-2-2-2-222-2-2111100−i3i3112i3−i311-1-12000011-1-1-1-10−i3i30i3−i30000i3−i3−i3i300000000000000
χ402222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-1-1-2-2-2-222-2-2111100i3−i3112−i3i311-1-12000011-1-1-1-10i3−i30−i3i30000−i3i3i3−i300000000000000
χ412222-2-2-1222-1-122-12-1-211-2-2-1-1-122-2-2-1-100000000002-222111-2-2-1-111022-2-2000000-1-1-1111002-20000-1-111-1-111000000
χ422222-2-2-1222-1-122-12-1-211-2-2-1-1-122-2-2-1-100000000002-222111-2-2-1-1110-2-222000000-1-1-111100-22000011-1-111-1-1000000
χ432222-2-2-1222-1-122-12-1-211-2-2-1-1-122-2-2-1-10000000000-22-2-211122-1-111022-2-2000000111-1-1-100-22000011-1-1-1-111000000
χ442222-2-2-1222-1-122-12-1-211-2-2-1-1-122-2-2-1-10000000000-22-2-211122-1-1110-2-222000000111-1-1-1002-20000-1-11111-1-1000000
χ452-22-22-22200-22-2-2-22202-22-2-22-2000000002-22-222-2-200002-200000000−i2i2−i2i200002-2000000000000000000−i2i2−i2i2−i2i2−i2i200
χ462-22-22-22200-22-2-2-22202-22-2-22-2000000002-22-222-2-200002-200000000i2−i2i2−i200002-2000000000000000000i2−i2i2−i2i2−i2i2−i200
χ472-22-22-22200-22-2-2-22202-22-2-22-200000000-22-22-2-22200002-200000000−i2i2−i2i20000-22000000000000000000−i2i2−i2i2i2−i2i2−i200
χ482-22-22-22200-22-2-2-22202-22-2-22-200000000-22-22-2-22200002-200000000i2−i2i2−i20000-22000000000000000000i2−i2i2−i2−i2i2−i2i200
χ492-22-2-222200-22-2-2-2220-22-22-22-2000000002-2-22-2-2220000-2200000000−i2i2i2−i200002-2000000000000000000−i2i2i2−i2−i2i2i2−i200
χ502-22-2-222200-22-2-2-2220-22-22-22-2000000002-2-22-2-2220000-2200000000i2−i2−i2i200002-2000000000000000000i2−i2−i2i2i2−i2−i2i200
χ512-22-2-222200-22-2-2-2220-22-22-22-200000000-222-222-2-20000-2200000000−i2i2i2−i20000-22000000000000000000−i2i2i2−i2i2−i2−i2i200
χ522-22-2-222200-22-2-2-2220-22-22-22-200000000-222-222-2-20000-2200000000i2−i2−i2i20000-22000000000000000000i2−i2−i2i2−i2i2i2−i200
χ53444444-24-4-4-2-244-24-2-4-2-244-2-2-2-4-4-4-42200000000000000-2-22002222000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2000000000044-2-211-2-2-2111100000000000-211-2110000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000000-4-42211-2221111000000000002-1-12-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000000−2i32i3112−2i32i3-1-1-1-1000000000000i3−i30i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220000000000002i3−2i31122i3−2i3-1-1-1-1000000000000−i3i30−i3i30000000000000000000000
χ584444-4-4-24-4-4-2-244-24-2422-4-4-2-2-2-4-444220000000000000022-20022-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-200000000004-4-2-2-1-122211-1-100000000000-2112-1-10000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-20000000000-4422-1-12-2-211-1-1000000000002-1-1-2110000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000−2i32i3-1-1-22i3−2i3-1-111000000000000i3−i30−i3i30000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-2220000000000002i3−2i3-1-1-2−2i32i3-1-111000000000000−i3i30i3−i30000000000000000000000
χ6344-4-40044004-4-44-4-44000004-4-40000004-4000000000000000000000000004-400000000000000000000000000000000
χ6444-4-40044004-4-44-4-44000004-4-4000000-4400000000000000000000000000-4400000000000000000000000000000000
χ6544-4-4004-2004-42-2-42-200000-2220023−23004-4000023−2323−230000000000023−2300000-2200000000000000000000000000000000
χ6644-4-4004-2004-42-2-42-200000-2220023−2300-440000−2323−23230000000000023−23000002-200000000000000000000000000000000
χ6744-4-4004-2004-42-2-42-200000-22200−2323004-40000−2323−232300000000000−232300000-2200000000000000000000000000000000
χ6844-4-4004-2004-42-2-42-200000-22200−232300-44000023−2323−2300000000000−2323000002-200000000000000000000000000000000
χ694-44-44-44-200-4422-4-2-204-4-222-22000000004-44-4-2-2220000-220000000000000000-220000000000000000000000000000
χ704-44-44-44-200-4422-4-2-204-4-222-2200000000-44-4422-2-20000-2200000000000000002-20000000000000000000000000000
χ714-44-44-4-24002-2-4-424-20-224-42-2200000000000000000000-2200000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000000
χ724-44-44-4-24002-2-4-424-20-224-42-2200000000000000000000-22000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000000
χ734-44-4-444-200-4422-4-2-20-442-22-22000000004-4-4422-2-200002-20000000000000000-220000000000000000000000000000
χ744-44-4-444-200-4422-4-2-20-442-22-2200000000-444-4-2-22200002-200000000000000002-20000000000000000000000000000
χ754-44-4-44-24002-2-4-424-202-2-442-22000000000000000000002-200000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000
χ764-44-4-44-24002-2-4-424-202-2-442-22000000000000000000002-2000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000
χ774-4-4400444-4-4-44-44-4400000-4-444-4004-400000000000000000004-400000000000000000000000000000000000000000
χ784-4-440044-44-4-44-44-4400000-4-44-4400-440000000000000000000-4400000000000000000000000000000000000000000
χ794-4-44004-24-4-4-4-2242-20000022-2-22004-400000023−23−2323000000000-2200000000023−23000000000000000000000000000000
χ804-4-44004-24-4-4-4-2242-20000022-2-22004-4000000−232323−23000000000-22000000000−2323000000000000000000000000000000
χ814-4-44004-2-44-4-4-2242-20000022-22-200-4400000023−23−23230000000002-2000000000−2323000000000000000000000000000000
χ824-4-44004-2-44-4-4-2242-20000022-22-200-44000000−232323−230000000002-200000000023−23000000000000000000000000000000
χ834-4-4400-244-4224-4-2-4-20000022-24-400-220000000000000000000-22000000000000000000000000000−2i32i3000000000000
χ844-4-4400-244-4224-4-2-4-20000022-24-400-220000000000000000000-220000000000000000000000000002i3−2i3000000000000
χ854-4-4400-24-44224-4-2-4-20000022-2-44002-200000000000000000002-200000000000000000000000000000−2i32i30000000000
χ864-4-4400-24-44224-4-2-4-20000022-2-44002-200000000000000000002-2000000000000000000000000000002i3−2i30000000000
χ8788-8-800-4800-44-884-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-4-400-444-4442000002-2-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ8988-8-800-4-400-444-4442000002-2-200−43430000000000000000000000023−23000000000000000000000000000000000000000
χ908-88-88-8-4-4004-4444-420-44-44-22-2000000000000000000002-20000000000000000000000000000000000000000000000
χ918-88-8-88-4-4004-4444-4204-44-4-22-200000000000000000000-220000000000000000000000000000000000000000000000
χ928-8-8800-4-48-844-44-44200000-2-22-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-8800-4-4-8844-44-44200000-2-224-4004-40000000000000000000-2200000000000000000000000000000000000000000

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