Finite Group Databasebeta

← Group #14305795

Character table — Group #14305795

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444555588888888888888888888881010101010101010101020202020202024243030303030303030303030303030303040404040404040404040404048484848120120
order1222344444466651010101212121212122222152020202020203030306060606060606060606060604444446666121212121212448888888888888888444412121212121212122020202044
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i1111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii1111-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-1-1-1-111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-1-1-1-111
χ911111-1-1-1-111111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1
χ1011111-1-1-1-111111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-11-1
χ1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11
χ1211111-1-1-1-111111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111-11
χ1311111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii11-1-1-11
χ1411111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-11
χ1511111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-1111-1
χ1611111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-1111-1
χ172222222-2-2-2-22222222-2-222-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-222-2-2000000000000000000000000000000000000
χ182222222-2-2-2-22222222-2-222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000000000000000
χ1922222-2-222-2-22222222-2-2-2-22222222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-222000000000000000000000000000000000000
χ2022222-2-222-2-22222222-2-2-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-22222-2-2000000000000000000000000000000000000
χ212222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1000000
χ222222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111000000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111110000000000000000002i2i−2i−2i−i−i−i−iiiii000000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111000000000000000000−2i−2i2i2iiiii−i−i−i−i000000
χ252222-122-2-2-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-111-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ262222-122-2-2-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ272222-122-2-2-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-222221111-1-111-1-100000000000000000000003−33−3−33−33000000
χ282222-122-2-2-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-222221111-1-111-1-10000000000000000000000−33−333−33−3000000
χ292222-1-2-222-2-2-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-11111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i3000000
χ302222-1-2-222-2-2-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-11111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i3000000
χ312222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111-1-1-1-11100000000000000000000003−3−33−333−3000000
χ322222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111-1-1-1-1110000000000000000000000−333−33−3−33000000
χ332222-1-2-2-2-222-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-1-1-111110000000000000000002-22-2-1-111-1-111000000
χ342222-1-2-2-2-222-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-1-1-11111000000000000000000-22-2211-1-111-1-1000000
χ352222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2111111-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i000000
χ362222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2111111-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii000000
χ3722-2-22002-2002-2-222-2-200002-222-2-22002-2002-2-20000000022-2-2002-20022-2-200002-20022−2−222−2−222−2−222−2−2000000000000000000
χ3822-2-22002-2002-2-222-2-200002-222-2-22002-2002-2-20000000022-2-2002-20022-2-200002-200−2−222−2−222−2−222−2−222000000000000000000
χ3922-2-22002-2002-2-222-2-200002-2-2-2222002-2002-2-20000000022-2-200-2200-2-2220000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000
χ4022-2-22002-2002-2-222-2-200002-2-2-2222002-2002-2-20000000022-2-200-2200-2-2220000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000
χ4122-2-2200-22002-2-222-2-20000-2222-2-2200-22002-2-200000000-2-22200-220022-2-20000-220022−2−2−2−22222−2−2−2−222000000000000000000
χ4222-2-2200-22002-2-222-2-20000-2222-2-2200-22002-2-200000000-2-22200-220022-2-20000-2200−2−22222−2−2−2−22222−2−2000000000000000000
χ4322-2-2200-22002-2-222-2-20000-22-2-222200-22002-2-200000000-2-222002-200-2-22200002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000
χ4422-2-2200-22002-2-222-2-20000-22-2-222200-22002-2-200000000-2-222002-200-2-22200002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000
χ452-22-222-20000-22-22-22-2002-2002-22-222-20000-22-2000022-2-200002-200002-22-2002-200002−22−22−22−22−22−22−22−2000000000000000000
χ462-22-222-20000-22-22-22-2002-2002-22-222-20000-22-2000022-2-200002-200002-22-2002-20000−22−22−22−22−22−22−22−22000000000000000000
χ472-22-222-20000-22-22-22-2002-200-22-2222-20000-22-2000022-2-20000-220000-22-2200-220000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000
χ482-22-222-20000-22-22-22-2002-200-22-2222-20000-22-2000022-2-20000-220000-22-2200-220000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000
χ492-22-22-220000-22-22-22-200-22002-22-22-220000-22-20000-2-2220000-2200002-22-200-2200002−22−2−22−222−22−2−22−22000000000000000000
χ502-22-22-220000-22-22-22-200-22002-22-22-220000-22-20000-2-2220000-2200002-22-200-220000−22−222−22−2−22−222−22−2000000000000000000
χ512-22-22-220000-22-22-22-200-2200-22-222-220000-22-20000-2-22200002-20000-22-22002-20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000
χ522-22-22-220000-22-22-22-200-2200-22-222-220000-22-20000-2-22200002-20000-22-22002-20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000
χ532-2-22200002-2-2-222-2-222-200002-2-22200002-2-2-2222-2-20000000000002-22-2-222-200000000002-2-2200002-2-22000000000000000000
χ542-2-22200002-2-2-222-2-222-200002-2-22200002-2-2-2222-2-20000000000002-22-2-222-20000000000-222-20000-222-2000000000000000000
χ552-2-22200002-2-2-222-2-222-20000-222-2200002-2-2-2222-2-2000000000000-22-222-2-2200000000002i−2i−2i2i0000−2i2i2i−2i000000000000000000
χ562-2-22200002-2-2-222-2-222-20000-222-2200002-2-2-2222-2-2000000000000-22-222-2-220000000000−2i2i2i−2i00002i−2i−2i2i000000000000000000
χ572-2-2220000-22-2-222-2-22-2200002-2-2220000-22-2-22-2-222000000000000-222-2-22-220000002-2-2200002-2-220000000000000000000000
χ582-2-2220000-22-2-222-2-22-2200002-2-2220000-22-2-22-2-222000000000000-222-2-22-22000000-222-20000-222-20000000000000000000000
χ592-2-2220000-22-2-222-2-22-220000-222-220000-22-2-22-2-2220000000000002-2-222-22-20000002i−2i−2i2i0000−2i2i2i−2i0000000000000000000000
χ602-2-2220000-22-2-222-2-22-220000-222-220000-22-2-22-2-2220000000000002-2-222-22-2000000−2i2i2i−2i00002i−2i−2i2i0000000000000000000000
χ6144444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000440000000000000000000000000000-1-1-1-100
χ6244444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-4-40000000000000000000000000000111100
χ634444444-4-4-4-4444-1-1-1-1-4-444-4-40000-1-1-11111-1-1-11111-1-1-1-111110000000000000000000000000000000000000000000000−55−5500
χ644444444-4-4-4-4444-1-1-1-1-4-444-4-40000-1-1-11111-1-1-11111-1-1-1-1111100000000000000000000000000000000000000000000005−55−500
χ6544444-4-444-4-4444-1-1-1-1-4-4-4-4440000-111-1-111-1-1-111111111-1-1-1-10000000000000000000000000000000000000000000000−555−500
χ6644444-4-444-4-4444-1-1-1-1-4-4-4-4440000-111-1-111-1-1-111111111-1-1-1-100000000000000000000000000000000000000000000005−5−5500
χ6744444-4-4-4-444444-1-1-1-144-4-4-4-40000-11111-1-1-1-1-1-1-1-1-11111111100000000000000004-40000000000000000000000000000-1-11100
χ6844444-4-4-4-444444-1-1-1-144-4-4-4-40000-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-44000000000000000000000000000011-1-100
χ6944-4-4-2004-400-22244-4-40000-2244-4-4-2004-400-22200000000-2-222004-400-2-2220000-22000000000000000000000000000000000000
χ7044-4-4-2004-400-22244-4-40000-22-4-444-2004-400-22200000000-2-22200-440022-2-200002-2000000000000000000000000000000000000
χ7144-4-4-200-4400-22244-4-400002-244-4-4-200-4400-2220000000022-2-200-4400-2-22200002-2000000000000000000000000000000000000
χ7244-4-4-200-4400-22244-4-400002-2-4-444-200-4400-2220000000022-2-2004-40022-2-20000-22000000000000000000000000000000000000
χ734-44-4-24-400002-224-44-400-22004-44-4-24-400002-220000-2-22200004-40000-22-2200-2200000000000000000000000000000000000000
χ744-44-4-24-400002-224-44-400-2200-44-44-24-400002-220000-2-2220000-4400002-22-2002-200000000000000000000000000000000000000
χ754-44-4-2-4400002-224-44-4002-2004-44-4-2-4400002-22000022-2-20000-440000-22-22002-200000000000000000000000000000000000000
χ764-44-4-2-4400002-224-44-4002-200-44-44-2-4400002-22000022-2-200004-400002-22-200-2200000000000000000000000000000000000000
χ774-4-44-200004-422-24-4-44-2200004-4-44-200004-422-2-2-2220000000000004-4-222-2-220000000000000000000000000000000000000000
χ784-4-44-200004-422-24-4-44-220000-444-4-200004-422-2-2-222000000000000-442-2-222-20000000000000000000000000000000000000000
χ794-4-44-20000-4422-24-4-442-200004-4-44-20000-4422-222-2-2000000000000-44-222-22-20000000000000000000000000000000000000000
χ804-4-44-20000-4422-24-4-442-20000-444-4-20000-4422-222-2-20000000000004-42-2-22-220000000000000000000000000000000000000000
χ818888-4888888-4-4-4-2-2-2-2-4-4-4-4-4-400001-2-2-2-2-2-21111111111111110000000000000000000000000000000000000000000000000000
χ828888-488-8-8-8-8-4-4-4-2-2-2-244-4-44400001-2-22222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000
χ838888-4-8-888-8-8-4-4-4-2-2-2-24444-4-40000122-2-222111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000
χ848888-4-8-8-8-888-4-4-4-2-2-2-2-4-44444000012222-2-21111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ8588-8-88008-8008-8-8-2-22200008-80000-200-2200-22200000000-2-2220000000000000000000000000000000000000000000000000000
χ8688-8-8800-88008-8-8-2-2220000-880000-2002-200-2220000000022-2-20000000000000000000000000000000000000000000000000000
χ8788-8-8-4008-800-444-2-2220000-440000100-22001-1-1−1515−1515−1515−151511-1-10000000000000000000000000000000000000000000000000000
χ8888-8-8-4008-800-444-2-2220000-440000100-22001-1-115−1515−1515−1515−1511-1-10000000000000000000000000000000000000000000000000000
χ8988-8-8-400-8800-444-2-22200004-400001002-2001-1-1−1515−151515−1515−15-1-1110000000000000000000000000000000000000000000000000000
χ9088-8-8-400-8800-444-2-22200004-400001002-2001-1-115−1515−15−1515−1515-1-1110000000000000000000000000000000000000000000000000000
χ918-88-888-80000-88-8-22-22008-8000000-2-2200002-220000-2-22200000000000000000000000000000000000000000000000000000000
χ928-88-88-880000-88-8-22-2200-88000000-22-200002-22000022-2-200000000000000000000000000000000000000000000000000000000
χ938-88-8-48-800004-44-22-2200-440000001-220000-11-1−151515−1511-1-1−1515−15150000000000000000000000000000000000000000000000000000
χ948-88-8-48-800004-44-22-2200-440000001-220000-11-115−15−151511-1-115−1515−150000000000000000000000000000000000000000000000000000
χ958-88-8-4-8800004-44-22-22004-400000012-20000-11-1−151515−15-1-11115−1515−150000000000000000000000000000000000000000000000000000
χ968-88-8-4-8800004-44-22-22004-400000012-20000-11-115−15−1515-1-111−1515−15150000000000000000000000000000000000000000000000000000
χ978-8-88800008-8-8-88-222-28-800000000-20000-2222-2-2-222000000000000000000000000000000000000000000000000000000000000
χ988-8-8880000-88-8-88-222-2-8800000000-200002-222-222-2-2000000000000000000000000000000000000000000000000000000000000
χ998-8-88-400008-844-4-222-2-440000000010000-22-1-1111-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000000
χ1008-8-88-400008-844-4-222-2-440000000010000-22-1-1111-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000000
χ1018-8-88-40000-8844-4-222-24-400000000100002-2-1-11-1-111−151515−15−151515−150000000000000000000000000000000000000000000000000000
χ1028-8-88-40000-8844-4-222-24-400000000100002-2-1-11-1-11115−15−151515−15−15150000000000000000000000000000000000000000000000000000

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