Finite Group Databasebeta

← Group #11878914

Character table — Group #11878914

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222223344666666346666666121212121212444444121212124466121212121212121212488881212121212121212121212124444121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1-111-111-1-1-111-1-11111-1-11-111-1-11-11-1-1-11111-1-111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1-111-111-1-1-1-1-1111111-1-11-111-1-11-1-11-1-111-1-111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-1-11-1-111-1-1-111-1-1-111-1-11111-1-1-11-1-111-11-1111-1-1-1-11111-1-111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-11111-1-111-1-1-1-1-11-1-111-1-1-111-1-1-1-1-1111111-1-1-11-1-111-111-111-1-111-1-1-1-111-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-111111-1-1-1-1-111-111-1-1111-1-1-1-1-1-1111-111-1-1-111-111-1-111-1-111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-111111-1-1-1-1-111-111-1-11-1-111-1-1-1-1111-111-1-1-11-1111-1-1-1-111-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-11111-11-1-111-1-1-111-1-1111-1-1-1-1-1-111-11-1-1111-1-11-1-111-1-11111-1-1-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-11111-11-1-111-1-1-111-1-11-1-111-1-1-1-111-11-1-1111-11-1-1-11111-1-1-1-11111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-22222-2-2222200220000-2-2-2-2-2-2000022-2-2-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-200220000-2-2-2-2-220000-2-222220000000000000000000000000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-12-1-1-1-120000-1-1-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-1-111112-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200111100000000000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-1-2000011111122-1-1-1-1-2-200111100000000000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-2-1-111112-1-1-1-1-20000111111-2-211112200-1-1-1-100000000000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-11111-2-22222-2-2-1-1-1-100-1-1−i3i3−i3i3-21111-20000-1-1111100−i3i3−i3i30000−i3i3−i3i300000000000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-11111-2-22222-2-2-1-1-1-100-1-1i3−i3i3−i3-21111-20000-1-1111100i3−i3i3−i30000i3−i3i3−i300000000000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-11111-2-2-2-2-2-222111100-1-1−i3i3−i3i3-211112000011-1-1-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-11111-2-2-2-2-2-222111100-1-1i3−i3i3−i3-211112000011-1-1-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ27222222-1222-1-1222-1-12-1-122-1-1-12222-1-1000000000022-1-12222-1-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ28222222-1222-1-1222-1-12-1-122-1-1-12222-1-1000000000022-1-12222-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ29222222-1222-1-1222-1-12-1-122-1-1-12222-1-10000000000-2-2-1-1-2-2-2-2-1-1-1-1-10222200000011111100-2-200001111-1-1-1-1000000
χ30222222-1222-1-1222-1-12-1-122-1-1-12222-1-10000000000-2-2-1-1-2-2-2-2-1-1-1-1-10-2-2-2-200000011111100220000-1-1-1-11111000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-200-2-200002-2-2222000022-2-2220000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-22222222200-2-200002-2-222-20000-2-222-2-20000000000000000000000000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1112222-2-22211112-21111-1-1-2-1-111-20000-1-1-1-1112-2-1-1112-20011-1-100000000000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-1112222-2-2221111-2211-1-111-2-1-111-20000-1-1-1-111-2211-1-1-2200-1-11100000000000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-11122-2-222-2-2-1-1-1-12-21111-1-1-2-1-111200001111-1-12-2-1-111-2200-1-11100000000000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-11122-2-222-2-2-1-1-1-1-2211-1-111-2-1-111200001111-1-1-2211-1-12-20011-1-100000000000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-1-1-2-222-2-2-2-211110011−i3i3i3−i3211-1-120000-1-111-1-100i3−i3−i3i30000−i3i3i3−i300000000000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-1-1-2-222-2-2-2-211110011i3−i3−i3i3211-1-120000-1-111-1-100−i3i3i3−i30000i3−i3−i3i300000000000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-1-1-2-2-2-22222-1-1-1-10011−i3i3i3−i3211-1-1-2000011-1-11100i3−i3−i3i30000i3−i3−i3i300000000000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-1-1-2-2-2-22222-1-1-1-10011i3−i3−i3i3211-1-1-2000011-1-11100−i3i3i3−i30000−i3i3i3−i300000000000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-2-2-1-100000000002-211-2-2221-1-111022-2-2000000-11-1-111002-20000-1-111-1-111000000
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-2-2-1-100000000002-211-2-2221-1-1110-2-222000000-11-1-11100-22000011-1-111-1-1000000
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-2-2-1-10000000000-221122-2-21-1-111022-2-20000001-111-1-100-22000011-1-1-1-111000000
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-2-2-1-10000000000-221122-2-21-1-1110-2-2220000001-111-1-1002-20000-1-11111-1-1000000
χ4522-2-22-222002-22-2-2-2202-22-22-2-20000002-22-20022-2-2002-200000000002−22−22-200000000000000000000002−22−22−22−200
χ4622-2-22-222002-22-2-2-2202-22-22-2-20000002-22-20022-2-2002-20000000000−22−222-20000000000000000000000−22−22−22−2200
χ4722-2-22-222002-22-2-2-2202-22-22-2-2000000-22-2200-2-222002-200000000002−22−2-2200000000000000000000002−22−2−22−2200
χ4822-2-22-222002-22-2-2-2202-22-22-2-2000000-22-2200-2-222002-20000000000−22−22-220000000000000000000000−22−222−22−200
χ4922-2-2-2222002-22-2-2-220-22-222-2-20000002-2-2200-2-22200-2200000000002−2−222-200000000000000000000002−2−222−2−2200
χ5022-2-2-2222002-22-2-2-220-22-222-2-20000002-2-2200-2-22200-220000000000−222−22-20000000000000000000000−222−2−222−200
χ5122-2-2-2222002-22-2-2-220-22-222-2-2000000-222-20022-2-200-2200000000002−2−22-2200000000000000000000002−2−22−222−200
χ5222-2-2-2222002-22-2-2-220-22-222-2-2000000-222-20022-2-200-220000000000−222−2-220000000000000000000000−222−22−2−2200
χ53444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-4-4-422000000000000-2-2000022222000000000000000000000000000000000000000
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
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000000-4-4112222-211110000000000022-1-1-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200000000000011−2i32i3−2i32i32-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000000112i3−2i32i3−2i32-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ584444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-4-44422000000000000220000-222-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-200000000004-4-1-122-2-2211-1-100000000000-2211-1-10000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-20000000000-44-1-1-2-222211-1-1000000000002-2-1-1110000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-1−2i32i32i3−2i3-2-1-1110000000000000−i3i3i3−i30000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000-1-12i3−2i3−2i32i3-2-1-1110000000000000i3−i3−i3i30000000000000000000000
χ6344-4-44-44-2004-4-222-4-204-4-22-2220000004-44-400-2-22200-2200000000000000-2200000000000000000000000000000000
χ6444-4-44-44-2004-4-222-4-204-4-22-222000000-44-440022-2-200-22000000000000002-200000000000000000000000000000000
χ6544-4-44-4-2400-224-4-42-20-224-4-222000000000000000000-22000000000022−2222−22000000000000000000000000−22−22000000
χ6644-4-44-4-2400-224-4-42-20-224-4-222000000000000000000-220000000000−2222−22220000000000000000000000002−22−2000000
χ6744-4-4-444-2004-4-222-4-20-442-2-2220000004-4-440022-2-2002-200000000000000-2200000000000000000000000000000000
χ6844-4-4-444-2004-4-222-4-20-442-2-222000000-444-400-2-222002-2000000000000002-200000000000000000000000000000000
χ6944-4-4-44-2400-224-4-42-202-2-44-2220000000000000000002-2000000000022−22−2222000000000000000000000000−222−2000000
χ7044-4-4-44-2400-224-4-42-202-2-44-2220000000000000000002-20000000000−222222−220000000000000000000000002−2−22000000
χ714-44-4004400-44-4-44-4400000-44-400000000004-40000000000000000000000004-4000000000000000000000000000000
χ724-44-4004400-44-4-44-4400000-44-40000000000-44000000000000000000000000-44000000000000000000000000000000
χ734-44-4004-200-4422-2-4-2000002-220023−230000004-423−2323−230000000000023−230000000-22000000000000000000000000000000
χ744-44-4004-200-4422-2-4-2000002-220023−23000000-44−2323−23230000000000023−2300000002-2000000000000000000000000000000
χ754-44-4004-200-4422-2-4-2000002-2200−23230000004-4−2323−232300000000000−23230000000-22000000000000000000000000000000
χ764-44-4004-200-4422-2-4-2000002-2200−2323000000-4423−2323−2300000000000−232300000002-2000000000000000000000000000000
χ774-4-4400444-4-4-4-44-44400000-4-444-4004-400000000000000000004-400000000000000000000000000000000000000000
χ784-4-440044-44-4-4-44-44400000-4-44-4400-440000000000000000000-4400000000000000000000000000000000000000000
χ794-4-44004-24-4-4-42-224-20000022-2-22004-400000023−23−2323000000000-220000000000023−230000000000000000000000000000
χ804-4-44004-24-4-4-42-224-20000022-2-22004-4000000−232323−23000000000-2200000000000−23230000000000000000000000000000
χ814-4-44004-2-44-4-42-224-20000022-22-200-4400000023−23−23230000000002-200000000000−23230000000000000000000000000000
χ824-4-44004-2-44-4-42-224-20000022-22-200-44000000−232323−230000000002-20000000000023−230000000000000000000000000000
χ834-4-4400-244-422-44-4-2-20000022-24-400-220000000000000000000-2200000000000000000000000000000−2i32i30000000000
χ844-4-4400-244-422-44-4-2-20000022-24-400-220000000000000000000-22000000000000000000000000000002i3−2i30000000000
χ854-4-4400-24-4422-44-4-2-20000022-2-44002-200000000000000000002-2000000000000000000000000000−2i32i3000000000000
χ864-4-4400-24-4422-44-4-2-20000022-2-44002-200000000000000000002-20000000000000000000000000002i3−2i3000000000000
χ8788-8-88-8-4-400-44-444420-44-442-2-20000000000000000002-2000000000000000000000000000000000000000000000000
χ8888-8-8-88-4-400-44-4444204-44-42-2-2000000000000000000-22000000000000000000000000000000000000000000000000
χ898-88-800-48004-4-8-884-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-4004-444-44200000-22-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ918-88-800-4-4004-444-44200000-22-200−43430000000000000000000000023−23000000000000000000000000000000000000000
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).