Finite Group Databasebeta

← Group #11863941

Character table — Group #11863941

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212121222224412121212246666121212121212122222466661212666121212446666881212121224242424222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-11111-1-11111111-111-1-1-1-1-111-1-111-1-1-111-1-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-11111-1-11111111-111-1-1-1-1-111-1-1-1-111-111-1-1-1-1111-1-1-1-11-1-111-11-1-111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-11111-1-1111111-11-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1-11111-111-1-1-1111-1-1-1-11111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-11111-1-1111111-11-1-1-1-1-11111-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1111-111-1-111-1-1-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-111-1-111-1-11-1-11111111-1-1-11-111-1-11-111-1-111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-11111111-1-1-11-1-1-111-1111-1-1-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-11-1-11111-1-1-1111-1111-1-1-11-1-111-1-111-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11111-1-1-1111-11-1-1111-1-1-11111-1-111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-22222-2-2-2-2-2-2000022-200-2-2-2-20000-22222-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2222222000022-200-2-2-2-200002-2-2-2-2220000000000000000000000000000
χ192222222-122-12-1-122-1222-1-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-122220000000-1-1-1-1-1-100-1-1-1-1220000-1-1-1-1000000
χ202222222-122-12-1-122-1222-1-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-1-2-2-2-20000000-1-1-1-1-1-1001111-2-200001111000000
χ212222222-122-12-1-122-1222-1-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-12222000000011111100-1-1-1-1-2-200001111000000
χ222222222-122-12-1-122-1222-1-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-1-2-2-2-20000000111111001111220000-1-1-1-1000000
χ23222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-100002-1-1-1-1-1-12-1-12-1-122000000-1-1-1-10000000000
χ24222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-1-2-211-1-1211-1-1-1-100002-1-1-1-1-1-1-211-211-2-200000011110000000000
χ25222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-10000-21111112-1-12-1-1-2-200000011110000000000
χ26222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-211-1-1211-1-1-1-10000-2111111-211-21122000000-1-1-1-10000000000
χ27222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-22222-2-2111100−i3i3-1-1-2−i3i311110000-2-1-1-1-1110−i3i30−i3i300000000−i3i3−i3i30000000000
χ28222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-22222-2-2111100i3−i3-1-1-2i3−i311110000-2-1-1-1-1110i3−i30i3−i300000000i3−i3i3−i30000000000
χ29222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-2-2-2-2-222-1-1-1-100−i3i3-1-1-2−i3i31111000021111-1-10−i3i30−i3i300000000i3−i3i3−i30000000000
χ30222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-2-2-2-2-222-1-1-1-100i3−i3-1-1-2i3−i31111000021111-1-10i3−i30i3−i300000000−i3i3−i3i30000000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-2-2-2-2-2-2-20000-2-2200-2-2220000222-2-2220000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-2222222220000-2-2200-2-2220000-2-2-222-2-20000000000000000000000000000
χ332222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-100000000002-222111-2-2-1-11122-2-20000000-1-1-111100-1-1112-20000-1-111000000
χ342222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-100000000002-222111-2-2-1-111-2-2220000000-1-1-11110011-1-1-22000011-1-1000000
χ352222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-10000000000-22-2-211122-1-11122-2-20000000111-1-1-100-1-111-22000011-1-1000000
χ362222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-10000000000-22-2-211122-1-111-2-2220000000111-1-1-10011-1-12-20000-1-111000000
χ372222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-1112222-2-222-1-1-1-12-2-1-111-211-1-1110000-2-1-111112-1-1-211-2200000011-1-10000000000
χ382222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-1112222-2-222-1-1-1-1-221111-2-1-1-1-1110000-2-1-11111-2112-1-12-2000000-1-1110000000000
χ392222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-11122-2-222-2-211112-2-1-111-211-1-1110000211-1-1-1-12-1-1-2112-2000000-1-1110000000000
χ402222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-11122-2-222-2-21111-221111-2-1-1-1-1110000211-1-1-1-1-2112-1-1-2200000011-1-10000000000
χ412222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-222-2-2-2-2111100−i3i3112i3−i311-1-100002-1-111-1-10−i3i30i3−i300000000i3−i3−i3i30000000000
χ422222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-222-2-2-2-2111100i3−i3112−i3i311-1-100002-1-111-1-10i3−i30−i3i300000000−i3i3i3−i30000000000
χ432222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-2-2-22222-1-1-1-100−i3i3112i3−i311-1-10000-211-1-1110−i3i30i3−i300000000−i3i3i3−i30000000000
χ442222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-2-2-22222-1-1-1-100i3−i3112−i3i311-1-10000-211-1-1110i3−i30−i3i300000000i3−i3−i3i30000000000
χ452-2-2200222-2-2-22-2-22200000-22-22-2002-22-2002-222-2-20000000002-200002-202-2000000000000002-20000000000002-200
χ462-2-2200222-2-2-22-2-22200000-22-22-2002-22-2002-222-2-20000000002-20000-2202-200000000000000-22000000000000-2200
χ472-2-2200222-2-2-22-2-22200000-22-22-2002-2-2200-22-2-2220000000002-200002-20-22000000000000002-2000000000000-2200
χ482-2-2200222-2-2-22-2-22200000-22-22-2002-2-2200-22-2-2220000000002-20000-220-2200000000000000-220000000000002-200
χ492-2-220022-22-2-22-2-22200000-22-2-2200-222-200-22-2-222000000000-22002-20002-20000000000002-20000000000002-20000
χ502-2-220022-22-2-22-2-22200000-22-2-2200-222-200-22-2-222000000000-2200-220002-2000000000000-22000000000000-220000
χ512-2-220022-22-2-22-2-22200000-22-2-2200-22-22002-222-2-2000000000-22002-2000-220000000000002-2000000000000-220000
χ522-2-220022-22-2-22-2-22200000-22-2-2200-22-22002-222-2-2000000000-2200-22000-22000000000000-220000000000002-20000
χ534444444-2-4-4-24-2-244-2-444-2-2-2-2-2-4-4-4-42200000000000000-2-22002222000000000000000000000000000000000000000
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
χ584444-4-44-2-4-4-24-2-244-24-4-422-2-2-2-4-444220000000000000022-20022-2-2000000000000000000000000000000000000000
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
χ6344-4-44-44400-44-44-4-4404-44-4-4-44000000000000000000004-40000000000000000000000000000000000000000000000
χ6444-4-44-44-200242-2-4-4-204-4-2222-200000000000000000000-22000000000000000000000000000000000000i6−i6i6−i6000000
χ6544-4-44-44-200242-2-4-4-204-4-2222-200000000000000000000-22000000000000000000000000000000000000−i6i6−i6i6000000
χ6644-4-44-4-2400-4-2-4422-20-224-422-200000000000023−2323−230000-22000000000000000023−230000000000000000000000000000
χ6744-4-44-4-2400-4-2-4422-20-224-422-2000000000000−2323−23230000-220000000000000000−23230000000000000000000000000000
χ6844-4-4-444400-44-44-4-440-44-44-4-4400000000000000000000-440000000000000000000000000000000000000000000000
χ6944-4-4-444-200242-2-4-4-20-442-222-2000000000000000000002-2000000000000000000000000000000000000i6−i6−i6i6000000
χ7044-4-4-444-200242-2-4-4-20-442-222-2000000000000000000002-2000000000000000000000000000000000000−i6i6i6−i6000000
χ7144-4-4-44-2400-4-2-4422-202-2-4422-200000000000023−2323−2300002-20000000000000000−23230000000000000000000000000000
χ7244-4-4-44-2400-4-2-4422-202-2-4422-2000000000000−2323−232300002-2000000000000000023−230000000000000000000000000000
χ734-44-40044004-4-4-44-44000004-4-4000000004-4000000000000000000000000004-4000000000000000000000000000000
χ744-44-40044004-4-4-44-44000004-4-400000000-4400000000000000000000000000-44000000000000000000000000000000
χ754-44-400-240042-4-4-22-200000-2220023−2300004-40023−23−23230000000000023−230000000-22000000000000000000000000000000
χ764-44-400-240042-4-4-22-200000-2220023−230000-4400−232323−230000000000023−2300000002-2000000000000000000000000000000
χ774-44-400-240042-4-4-22-200000-22200−232300004-400−232323−2300000000000−23230000000-22000000000000000000000000000000
χ784-44-400-240042-4-4-22-200000-22200−23230000-440023−23−232300000000000−232300000002-2000000000000000000000000000000
χ794-4-44004-24-42-4-22-44-2000002-224-400-220000000000000000000-2200004-400000000000000000-220000000000000000
χ804-4-44004-24-42-4-22-44-2000002-224-400-220000000000000000000-220000-44000000000000000002-20000000000000000
χ814-4-44004-2-442-4-22-44-2000002-22-44002-200000000000000000002-2004-400000000000000000-22000000000000000000
χ824-4-44004-2-442-4-22-44-2000002-22-44002-200000000000000000002-200-44000000000000000002-2000000000000000000
χ834-4-4400-244-4-424-42-2-2000002-22-22004-44-4004-4-2-222000000000-220000000-2200000000000000000000000000000000
χ844-4-4400-244-4-424-42-2-2000002-22-22004-4-4400-4422-2-2000000000-2200000002-200000000000000000000000000000000
χ854-4-4400-24-44-424-42-2-2000002-222-200-444-400-4422-2-20000000002-20000000-2200000000000000000000000000000000
χ864-4-4400-24-44-424-42-2-2000002-222-200-44-44004-4-2-2220000000002-200000002-200000000000000000000000000000000
χ8788-8-88-8-4-4004-44-44420-44-44-2-22000000000000000000002-20000000000000000000000000000000000000000000000
χ8888-8-8-88-4-4004-44-444204-44-4-2-2200000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8008-400-4-8448-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400-4444-442000002-2-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ918-88-800-4-400-4444-442000002-2-200−43430000000000000000000000023−23000000000000000000000000000000000000000
χ928-8-8800-4-48-844-444-4200000-22-2-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ938-8-8800-4-4-8844-444-4200000-22-24-4004-40000000000000000000-2200000000000000000000000000000000000000000

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