Finite Group Databasebeta

← Group #14302026

Character table — Group #14302026

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222244444444445555888888888888888888888810101010101010101010202020202020202020202020202020202020202020202020202020202020242448484848120120120120120120
order122234466612121212245661010101212444410101520202020303030303030306060606060606060226666121212122444444444661212121212121212121212121212121212122410102020448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1ii−i−i
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111−i−iii
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1−i−iii
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111ii−i−i
χ911111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-111-11-1
χ1011111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-1-11-11
χ1111111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-11-11-11
χ1211111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1111-11-11-1
χ1311111111111111-1-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1-111-1-11-1i−i−ii
χ1411111111111111-1-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-11-1-111-11−iii−i
χ1511111111111111-1-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-11-1−iii−i
χ1611111111111111-1-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-11i−i−ii
χ1722222-2-2222-2-2-2-22-2222222-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2200000000-2-2220000000000000000000000000000
χ1822222-2-2222-2-2-2-22-2222222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-22-20000000022-2-20000000000000000000000000000
χ1922222-2-2222-2-2-2-2-222-2-2222222222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-2-2-2-2-222222-20000000022-2-20000000000000000000000000000
χ2022222-2-2222-2-2-2-2-222-2-222222-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-22222222222-2-2-2-2-2200000000-2-2220000000000000000000000000000
χ212222-122-1-1-1-1-1-1-1222-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ222222-122-1-1-1-1-1-1-1222-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000
χ232222-122-1-1-1-1-1-1-1222-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ242222-122-1-1-1-1-1-1-1222-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i000000000000
χ252222-122-1-1-1-1-1-1-1-2-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-11111-1-1-1-11111000000000000
χ262222-122-1-1-1-1-1-1-1-2-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-2-2-222-2-22211111111-1-1-1-11111-1-1-1-1000000000000
χ272222-122-1-1-1-1-1-1-1-2-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-211111111222i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ282222-122-1-1-1-1-1-1-1-2-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-21111111122−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000
χ292222-1-2-2-1-1-111112-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-21111-1-1-1-1-220000000011-1-133−3−333−3−333−3−333−3−3000000000000
χ302222-1-2-2-1-1-111112-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-21111-1-1-1-1-220000000011-1-1−3−333−3−333−3−333−3−333000000000000
χ312222-1-2-2-1-1-111112-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-111112-200000000-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ322222-1-2-2-1-1-111112-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-111112-200000000-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ332222-1-2-2-1-1-11111-22211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-21111-1-1-1-12-200000000-1-11133−3−3−3−33333−3−3−3−333000000000000
χ342222-1-2-2-1-1-11111-22211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-21111-1-1-1-12-200000000-1-111−3−33333−3−3−3−33333−3−3000000000000
χ352222-1-2-2-1-1-11111-22211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-1-1-1-11111-220000000011-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ362222-1-2-2-1-1-11111-22211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-1-1-1-11111-220000000011-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ372-2-2222-2-2-2222-2-200200-22-20022-2-20022-200-2-20000222-2-200002-222-2-222-2-200002i−2i002i−2i000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ382-2-2222-2-2-2222-2-200200-22-20022-2-20022-200-2-20000222-2-200002-222-2-222-2-20000−2i2i00−2i2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ392-2-2222-2-2-2222-2-200200-22-200-2-2220022-200-2-20000222-2-20000-22-2-222-2-22200002-200-22000000002-22-20000-22-22000000000000
χ402-2-2222-2-2-2222-2-200200-22-200-2-2220022-200-2-20000222-2-20000-22-2-222-2-2220000-22002-200000000-22-2200002-22-2000000000000
χ412-2-222-22-2-22-2-22200200-22-20022-2-2002-2200-2-200002-2-2220000-22-2-22222-2-2002-2002-20000002-22-200002-22-20000000000000000
χ422-2-222-22-2-22-2-22200200-22-20022-2-2002-2200-2-200002-2-2220000-22-2-22222-2-200-2200-22000000-22-220000-22-220000000000000000
χ432-2-222-22-2-22-2-22200200-22-200-2-222002-2200-2-200002-2-22200002-222-2-2-2-222002i−2i00−2i2i0000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ442-2-222-22-2-22-2-22200200-22-200-2-222002-2200-2-200002-2-22200002-222-2-2-2-22200−2i2i002i−2i000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ452-2-22-12-211-1-1-111002−i3i3-22-2−i3i322-2-200-12-20011−i3−i3i3i3-1-1-111−i3−i3i3i32-2-1-111-1-11100002i−2i002i−2i−i3i3−i3i33−3−33−ii−ii3−3−33−ii−ii000000000000
χ462-2-22-12-211-1-1-111002−i3i3-22-2−i3i322-2-200-12-20011−i3−i3i3i3-1-1-111−i3−i3i3i32-2-1-111-1-1110000−2i2i00−2i2i−i3i3−i3i3−333−3i−ii−i−333−3i−ii−i000000000000
χ472-2-22-12-211-1-1-111002−i3i3-22-2−i3i3-2-22200-12-20011−i3−i3i3i3-1-1-111−i3−i3i3i3-2211-1-111-1-100002-200-22i3−i3i3−i3−i3i3i3−i3-11-11i3−i3−i3i31-11-1000000000000
χ482-2-22-12-211-1-1-111002−i3i3-22-2−i3i3-2-22200-12-20011−i3−i3i3i3-1-1-111−i3−i3i3i3-2211-1-111-1-10000-22002-2i3−i3i3−i3i3−i3−i3i31-11-1−i3i3i3−i3-11-11000000000000
χ492-2-22-12-211-1-1-111002i3−i3-22-2i3−i322-2-200-12-20011i3i3−i3−i3-1-1-111i3i3−i3−i32-2-1-111-1-11100002i−2i002i−2ii3−i3i3−i3−333−3−ii−ii−333−3−ii−ii000000000000
χ502-2-22-12-211-1-1-111002i3−i3-22-2i3−i322-2-200-12-20011i3i3−i3−i3-1-1-111i3i3−i3−i32-2-1-111-1-1110000−2i2i00−2i2ii3−i3i3−i33−3−33i−ii−i3−3−33i−ii−i000000000000
χ512-2-22-12-211-1-1-111002i3−i3-22-2i3−i3-2-22200-12-20011i3i3−i3−i3-1-1-111i3i3−i3−i3-2211-1-111-1-100002-200-22−i3i3−i3i3i3−i3−i3i3-11-11−i3i3i3−i31-11-1000000000000
χ522-2-22-12-211-1-1-111002i3−i3-22-2i3−i3-2-22200-12-20011i3i3−i3−i3-1-1-111i3i3−i3−i3-2211-1-111-1-10000-22002-2−i3i3−i3i3−i3i3i3−i31-11-1i3−i3−i3i3-11-11000000000000
χ532-2-22-1-2211-111-1-1002−i3i3-22-2i3−i322-2-200-1-220011−i3−i3i3i3-111-1-1i3i3−i3−i3-2211-1-1-1-111002-2002-200i3−i3−i3i3-11-11−i3i3i3−i3-11-11−i3i3i3−i3000000000000
χ542-2-22-1-2211-111-1-1002−i3i3-22-2i3−i322-2-200-1-220011−i3−i3i3i3-111-1-1i3i3−i3−i3-2211-1-1-1-11100-2200-2200i3−i3−i3i31-11-1i3−i3−i3i31-11-1i3−i3−i3i3000000000000
χ552-2-22-1-2211-111-1-1002−i3i3-22-2i3−i3-2-22200-1-220011−i3−i3i3i3-111-1-1i3i3−i3−i32-2-1-11111-1-1002i−2i00−2i2i00−i3i3i3−i3−ii−ii3−3−33i−ii−i−333−3000000000000
χ562-2-22-1-2211-111-1-1002−i3i3-22-2i3−i3-2-22200-1-220011−i3−i3i3i3-111-1-1i3i3−i3−i32-2-1-11111-1-100−2i2i002i−2i00−i3i3i3−i3i−ii−i−333−3−ii−ii3−3−33000000000000
χ572-2-22-1-2211-111-1-1002i3−i3-22-2−i3i322-2-200-1-220011i3i3−i3−i3-111-1-1−i3−i3i3i3-2211-1-1-1-111002-2002-200−i3i3i3−i3-11-11i3−i3−i3i3-11-11i3−i3−i3i3000000000000
χ582-2-22-1-2211-111-1-1002i3−i3-22-2−i3i322-2-200-1-220011i3i3−i3−i3-111-1-1−i3−i3i3i3-2211-1-1-1-11100-2200-2200−i3i3i3−i31-11-1−i3i3i3−i31-11-1−i3i3i3−i3000000000000
χ592-2-22-1-2211-111-1-1002i3−i3-22-2−i3i3-2-22200-1-220011i3i3−i3−i3-111-1-1−i3−i3i3i32-2-1-11111-1-1002i−2i00−2i2i00i3−i3−i3i3−ii−ii−333−3i−ii−i3−3−33000000000000
χ602-2-22-1-2211-111-1-1002i3−i3-22-2−i3i3-2-22200-1-220011i3i3−i3−i3-111-1-1−i3−i3i3i32-2-1-11111-1-100−2i2i002i−2i00i3−i3−i3i3i−ii−i3−3−33−ii−ii−333−3000000000000
χ614444444444444444-144-1-1-1440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000044-1-1-1-1000000
χ624444444444444444-144-1-1-1440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-4-41111000000
χ6344444444444444-4-4-1-4-4-1-1-1-4-4000011-1-1-111-1-11111-1-1-1-1-1111100000000000000000000000000000000000000004-4-1-111000000
χ6444444444444444-4-4-1-4-4-1-1-1-4-4000011-1-1-111-1-11111-1-1-1-1-111110000000000000000000000000000000000000000-4411-1-1000000
χ6544444-4-4444-4-4-4-44-4-144-1-1-1-4-40000-1-1-11111-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000−55−55000000
χ6644444-4-4444-4-4-4-44-4-144-1-1-1-4-40000-1-1-11111-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000005−55−5000000
χ6744444-4-4444-4-4-4-4-44-1-4-4-1-1-144000011-111-1-1-1-11111-11111-1-1-1-1000000000000000000000000000000000000000000−555−5000000
χ6844444-4-4444-4-4-4-4-44-1-4-4-1-1-144000011-111-1-1-1-11111-11111-1-1-1-10000000000000000000000000000000000000000005−5−55000000
χ6944-4-44004-4-4000000400-4-44004i−4i4i−4i00400004-40000-4000000000000004i−4i4i−4i000000000000000000000000000000000000000000
χ7044-4-44004-4-4000000400-4-4400−4i4i−4i4i00400004-40000-400000000000000−4i4i−4i4i000000000000000000000000000000000000000000
χ7144-4-4-200-22223−2323−2300400-4-44004i−4i4i−4i00-20000-220000223−2323−23000000−2i32i3−2i32i3−2i2i−2i2i000000000000000000000000000000000000000000
χ7244-4-4-200-22223−2323−2300400-4-4400−4i4i−4i4i00-20000-220000223−2323−230000002i3−2i32i3−2i32i−2i2i−2i000000000000000000000000000000000000000000
χ7344-4-4-200-222−2323−232300400-4-44004i−4i4i−4i00-20000-2200002−2323−23230000002i3−2i32i3−2i3−2i2i−2i2i000000000000000000000000000000000000000000
χ7444-4-4-200-222−2323−232300400-4-4400−4i4i−4i4i00-20000-2200002−2323−2323000000−2i32i3−2i32i32i−2i2i−2i000000000000000000000000000000000000000000
χ754-44-4400-44-40000004004-4-4004i−4i−4i4i0040000-440000-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000
χ764-44-4400-44-40000004004-4-400−4i4i4i−4i0040000-440000-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ774-44-4-2002-2223−23−2323004004-4-4004i−4i−4i4i00-200002-20000223−23−2323000000−2i32i32i3−2i3−2i2i2i−2i000000000000000000000000000000000000000000
χ784-44-4-2002-2223−23−2323004004-4-400−4i4i4i−4i00-200002-20000223−23−23230000002i3−2i3−2i32i32i−2i−2i2i000000000000000000000000000000000000000000
χ794-44-4-2002-22−232323−23004004-4-4004i−4i−4i4i00-200002-200002−232323−230000002i3−2i3−2i32i3−2i2i2i−2i000000000000000000000000000000000000000000
χ804-44-4-2002-22−232323−23004004-4-400−4i4i4i−4i00-200002-200002−232323−23000000−2i32i32i3−2i32i−2i−2i2i000000000000000000000000000000000000000000
χ818888-488-4-4-4-4-4-4-488-2-4-4-2-2-2-4-40000-2-21-2-2-2-21111111111111110000000000000000000000000000000000000000000000000000
χ828888-488-4-4-4-4-4-4-4-8-8-244-2-2-2440000221-2-22211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000000000
χ838888-4-8-8-4-4-444448-8-2-4-4-2-2-2440000-2-2122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ848888-4-8-8-4-4-44444-88-244-2-2-2-4-4000022122-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000000000
χ8588-8-88008-8-8000000-20022-2000000−2525-20000-22−2525−25252000000000000000000000000000000000000000000000000000000000000
χ8688-8-88008-8-8000000-20022-200000025−25-20000-2225−2525−252000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-400-44443−4343−4300-20022-2000000−2525100001-15−55−5-1−33−33−1515−15150000000000000000000000000000000000000000000000000000
χ8888-8-8-400-44443−4343−4300-20022-200000025−25100001-1−55−55-1−33−3315−1515−150000000000000000000000000000000000000000000000000000
χ8988-8-8-400-444−4343−434300-20022-2000000−2525100001-15−55−5-13−33−315−1515−150000000000000000000000000000000000000000000000000000
χ9088-8-8-400-444−4343−434300-20022-200000025−25100001-1−55−55-13−33−3−1515−15150000000000000000000000000000000000000000000000000000
χ918-88-8800-88-8000000-200-22200000000-200−2i52i52-2000020000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000
χ928-88-8800-88-8000000-200-22200000000-2002i5−2i52-20000200002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000
χ938-88-8-4004-4443−43−434300-200-22200000000100−2i52i5-11i15−i15−i15i15-1−333−3i5−i5−i5i50000000000000000000000000000000000000000000000000000
χ948-88-8-4004-4443−43−434300-200-222000000001002i5−2i5-11−i15i15i15−i15-1−333−3−i5i5i5−i50000000000000000000000000000000000000000000000000000
χ958-88-8-4004-44−434343−4300-200-22200000000100−2i52i5-11−i15i15i15−i15-13−3−33i5−i5−i5i50000000000000000000000000000000000000000000000000000
χ968-88-8-4004-44−434343−4300-200-222000000001002i5−2i5-11i15−i15−i15i15-13−3−33−i5i5i5−i50000000000000000000000000000000000000000000000000000
χ978-8-8888-8-8-8888-8-800-2002-2200000000-2-2200220000-2-2-22200000000000000000000000000000000000000000000000000000000
χ988-8-888-88-8-88-8-88800-2002-2200000000-22-200220000-222-2-200000000000000000000000000000000000000000000000000000000
χ998-8-88-48-844-4-4-44400-2−4i34i32-22−4i34i30000001-2200-1-1i3i3−i3−i3111-1-1i3i3−i3−i30000000000000000000000000000000000000000000000000000
χ1008-8-88-48-844-4-4-44400-24i3−4i32-224i3−4i30000001-2200-1-1−i3−i3i3i3111-1-1−i3−i3i3i30000000000000000000000000000000000000000000000000000
χ1018-8-88-4-8844-444-4-400-2−4i34i32-224i3−4i300000012-200-1-1i3i3−i3−i31-1-111−i3−i3i3i30000000000000000000000000000000000000000000000000000
χ1028-8-88-4-8844-444-4-400-24i3−4i32-22−4i34i300000012-200-1-1−i3−i3i3i31-1-111i3i3−i3−i30000000000000000000000000000000000000000000000000000

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