Finite Group Databasebeta

← Group #11887664

Character table — Group #11887664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122233444466666634666121212121212121222224412121212121212121212121244444466668888121212121212121212128888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-1111-1-1-1-1111111-1-11-1-1-111-1-111-1-1-1-1111-11111-1-111-1-111111-111-1-11111-1-111-1-11-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1-1-1111111-1-11-1-1-111-1-111-1-1-1-1111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11-1-1-1111-1-1-1-1-11111-11
χ11111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1111-1-11-111-1-111111-1
χ12111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111-1-1111-11111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1-1-11111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1111-1-1-111111-1-111-11
χ14111111-1-1111111111-1111-1-1-1-11111-1-1111-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-111-1111-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-111-1111-1-111-1-1111111-11-1-1111111-1-111-1-1-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1-11111-11-1-111-1-1-1-11-1-1-111-11-1-111-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-2222200-2-20000-2-222-2-200-2-2002222000000000000000000000000-2-20000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-200-2-20000-2-222-2-2002200-2-2-2-2000000000000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-22200-220022-2-2000000000000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-222002-200-2-2220000000000000000000000002-20000000000
χ2122222-122222-122-1-1-12-1-1-122-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000-1-1-1-122-1-1-1-10000020000-1-1-1-100000000
χ2222222-122222-122-1-1-12-1-1-122-1-12-1-122222-2-22-11111-1-1-1-1-1-1-2-22200-1-1-1-100001111-2-2111100000-20000-1-11100000000
χ2322222-122222-122-1-1-12-1-1-122-1-12-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000111122-1-1-1-100000-20000111100000000
χ2422222-122222-122-1-1-12-1-1-122-1-12-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-122-2-20011110000-1-1-1-1-2-21111000002000011-1-100000000
χ2522222-122-2-22-122-1-1-1-2-1-1-122-1-1-211-2222200-21−i3i3−i3i311-1-11100-2-200-1-1-1-10000−i3−i3i3i300−i3i3−i3i3000000000011−i3i300000000
χ2622222-122-2-22-122-1-1-1-2-1-1-122-1-1-211-2222200-21i3−i3i3−i311-1-11100-2-200-1-1-1-10000i3i3−i3−i300i3−i3i3−i3000000000011i3−i300000000
χ2722222-122-2-22-122-1-1-1-2-1-1-122-1-1-211-2-2-2-2-200-21−i3i3−i3i311-1-11100220011110000i3i3−i3−i300−i3i3−i3i30000000000-1-1i3−i300000000
χ2822222-122-2-22-122-1-1-1-2-1-1-122-1-1-211-2-2-2-2-200-21i3−i3i3−i311-1-11100220011110000−i3−i3i3i300i3−i3i3−i30000000000-1-1−i3i300000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-1-1222-2-22-2-21-1-111-1-11111222-200-1-1110000-1-1-1-12-2-1-11100000-20000-111100000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-1-1222-2-2-22-2111-1-1-1-11111-2-22-200-1-11100001111-2211-1-10000020000-11-1-100000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-1-12-2-2222-2-21-1-111-1-11111-2-2-220011-1-1000011112-2-1-11100000200001-1-1-100000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-2-2112-1-12-2-222-22-2111-1-1-1-1111122-220011-1-10000-1-1-1-1-2211-1-100000-200001-11100000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-1-2-211-211-222-2-2002-1−i3i3i3−i31111-1-100-2200-1-1110000−i3−i3i3i300−i3i3i3−i300000000001-1i3−i300000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-1-2-211-211-222-2-2002-1i3−i3−i3i31111-1-100-2200-1-1110000i3i3−i3−i300i3−i3−i3i300000000001-1−i3i300000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-1-2-211-211-2-2-222002-1−i3i3i3−i31111-1-1002-20011-1-10000i3i3−i3−i300−i3i3i3−i30000000000-11−i3i300000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-1-2-211-211-2-2-222002-1i3−i3−i3i31111-1-1002-20011-1-10000−i3−i3i3i300i3−i3−i3i30000000000-11i3−i300000000
χ372222-122222-12-1-122-12-1-1-1-1-122-122-1000022-122222-1-1-1-1-1-1000022000022220000-1-1-1-1-1-1000020-1-1-1-10000-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-1-1-122-122-1000022-122222-1-1-1-1-1-10000-2-20000-2-2-2-20000-1-1-1-1-1-10000-201111000011110000
χ392222-122222-12-1-122-12-1-1-1-1-122-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000220000-2-2-2-20000111111000020-1-1-1-1000011110000
χ402222-122222-12-1-122-12-1-1-1-1-122-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000-2-20000222200001111110000-2011110000-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-111-2-2-122-100002-21-222-2-2-1-11111000022000022-2-20000-11-1-1110000-20-1-1110000-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-111-2-2-122-100002-21-222-2-2-1-111110000-2-20000-2-2220000-11-1-11100002011-1-1000011-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-111-2-2-122-10000-221-2-2-222-1-111110000220000-2-22200001-111-1-10000-20-1-111000011-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-111-2-2-122-10000-221-2-2-222-1-111110000-2-2000022-2-200001-111-1-100002011-1-10000-1-1110000
χ4522-2-2222-20022-2-2-2-2202-2-22-22-200002-22-200000000002-2000000002-22-22−22−2000000000022−2−200000000002−22−22−200
χ4622-2-2222-20022-2-2-2-2202-2-22-22-200002-22-200000000002-2000000002-22-2−22−220000000000−2−2220000000000−22−22−2200
χ4722-2-2222-20022-2-2-2-2202-2-22-22-20000-22-2200000000002-200000000-22-222−22−20000000000−2−22200000000002−22−2−2200
χ4822-2-2222-20022-2-2-2-2202-2-22-22-20000-22-2200000000002-200000000-22-22−22−22000000000022−2−20000000000−22−222−200
χ4922-2-222-220022-2-2-2-2202-2-2-22-2200002-2-220000000000-22000000002-2-222−2−22000000000022−2−200000000002−2−22−2200
χ5022-2-222-220022-2-2-2-2202-2-2-22-2200002-2-220000000000-22000000002-2-22−222−20000000000−2−2220000000000−222−22−200
χ5122-2-222-220022-2-2-2-2202-2-2-22-220000-222-20000000000-2200000000-222-22−2−220000000000−2−22200000000002−2−222−200
χ5222-2-222-220022-2-2-2-2202-2-2-22-220000-222-20000000000-2200000000-222-2−222−2000000000022−2−20000000000−222−2−2200
χ532-2-2222002-2-2-22-2-2220-22-2000022-2-20000000000002-200002i−2i002-2000000002i−2i2i−2i0000002i−2i2i−2i002-200000000000000
χ542-2-2222002-2-2-22-2-2220-22-2000022-2-20000000000002-200002i−2i00-22000000002i−2i2i−2i000000−2i2i−2i2i00-2200000000000000
χ552-2-2222002-2-2-22-2-2220-22-2000022-2-20000000000002-20000−2i2i002-200000000−2i2i−2i2i000000−2i2i−2i2i002-200000000000000
χ562-2-2222002-2-2-22-2-2220-22-2000022-2-20000000000002-20000−2i2i00-2200000000−2i2i−2i2i0000002i−2i2i−2i00-2200000000000000
χ574444-2444-4-4-24-2-244-2-4-2-2-2-2-2442-4-420000002-4000022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-222-4-42-4-42000000-2400002222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-2222200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24-4004-2-4-422-20-2224-4-2200004-44-40000000000-2200000000-22-22000000000000000000000000000000000000
χ6844-4-44-24-4004-2-4-422-20-2224-4-220000-44-440000000000-22000000002-22-2000000000000000000000000000000000000
χ6944-4-44-2-44004-2-4-422-20-222-442-200004-4-4400000000002-200000000-222-2000000000000000000000000000000000000
χ7044-4-44-2-44004-2-4-422-20-222-442-20000-444-400000000002-2000000002-2-22000000000000000000000000000000000000
χ7144-4-4-244-400-2422-4-4-20-222-224-4000000000000000000-2200000000000022−2222−22000000000000000000000000−22−220000
χ7244-4-4-244-400-2422-4-4-20-222-224-4000000000000000000-22000000000000−2222−22220000000000000000000000002−22−20000
χ7344-4-4-24-4400-2422-4-4-20-2222-2-440000000000000000002-200000000000022−22−2222000000000000000000000000−222−20000
χ7444-4-4-24-4400-2422-4-4-20-2222-2-440000000000000000002-2000000000000−222222−220000000000000000000000002−2−220000
χ754-44-4440000-4-4-444-440-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ764-44-4440000-4-4-444-440-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ774-4-444400-44-4-44-4-4440-44-40000-4-444000000000000-4400000000000000000000000000000000000000000000000000
χ784-4-444-2004-4-424-42-2-202-2200004-22-4000000000000-2200004i−4i000000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-444-2004-4-424-42-2-202-2200004-22-4000000000000-220000−4i4i0000000000002i−2i2i−2i0000000000000000000000000000
χ804-4-444-200-44-424-42-2-202-220000-42-240000000000002-200000000000000000023−23−23230000000000000000000000000000
χ814-4-444-200-44-424-42-2-202-220000-42-240000000000002-2000000000000000000−232323−230000000000000000000000000000
χ824-4-44-24004-42-4-22-44-202-220000-24-42000000000000-22000000004-4000000000000000000000000-2200000000000000
χ834-4-44-24004-42-4-22-44-202-220000-24-42000000000000-2200000000-440000000000000000000000002-200000000000000
χ844-4-44-2400-442-4-22-44-202-2200002-44-20000000000002-200000000000000000000000000000000000023−23000000000000
χ854-4-44-2400-442-4-22-44-202-2200002-44-20000000000002-2000000000000000000000000000000000000−2323000000000000
χ8688-8-8-4-48-800-4-44444202-2-2-44-440000000000000000002-2000000000000000000000000000000000000000000000000
χ8788-8-8-4-4-8800-4-44444202-2-24-44-4000000000000000000-22000000000000000000000000000000000000000000000000
χ888-88-88-40000-84-88-44-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4800004-84-48-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000444-4-4420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ918-88-8-4-40000444-4-4420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000
χ928-8-88-4-4008-844-444-420-22-20000-4-4440000000000002-200000000000000000000000000000000000000000000000000
χ938-8-88-4-400-8844-444-420-22-2000044-4-4000000000000-2200000000000000000000000000000000000000000000000000

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