Finite Group Databasebeta

← Group #14294631

Character table — Group #14294631

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222444444444444444444445555888888888888888888101010101010202020202020202030303030303030306060606011112222224444444444444444444455558888888888888888881010101010102020202020202020303030303030303060606060
order1244234612125688101215152020242424243030606060602244102030304040404060601201201201201201201201202466121268812242424248888888888882244264612121068810123030202024242424303060606060224410203030404040406060120120120120120120120120246612126881224242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111111111-1-1-1-1111111111111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111111111-1-1-1-1
χ6111111111111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−iii111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−iii
χ8111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111−i−i−i−iiiiiii−i−i111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111−i−i−i−iiiiiii−i−i
χ911-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-111-1-1-11-1-1ii−i−i11iiii−i−i−i−i-1111-1-1-1i−i1ii−i−i11-1-111-1-1i−ii−i11-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-111-1-1-11-1-1ii−i−i11iiii−i−i−i−i-1111-1-1-1i−i1ii−i−i11-1-111-1-1i−ii−i
χ1011-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-111-1-1-11-1-1ii−i−i11iiii−i−i−i−i-1111-1-1-1i−i1ii−i−i-1-111-1-111−ii−ii11-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-111-1-1-11-1-1ii−i−i11iiii−i−i−i−i-1111-1-1-1i−i1ii−i−i-1-111-1-111−ii−ii
χ1111-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-1-1-111-11-1-1ii−i−i11iiii−i−i−i−i1-1-1-1111−ii-1−i−iiiii−i−i−i−iii-111-111-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-1-1-111-11-1-1ii−i−i11iiii−i−i−i−i1-1-1-1111−ii-1−i−iiiii−i−i−i−iii-111-1
χ1211-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-1-1-111-11-1-1ii−i−i11iiii−i−i−i−i1-1-1-1111−ii-1−i−iii−i−iiiii−i−i1-1-1111-1-1-1111-1-11-1i−i1111-1-1ii−i−i11-1-1-1-1-1-111-11-1-1ii−i−i11iiii−i−i−i−i1-1-1-1111−ii-1−i−iii−i−iiiii−i−i1-1-11
χ1311-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-111-1-1-11-1-1−i−iii11−i−i−i−iiiii-1111-1-1-1−ii1−i−iii11-1-111-1-1−ii−ii11-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-111-1-1-11-1-1−i−iii11−i−i−i−iiiii-1111-1-1-1−ii1−i−iii11-1-111-1-1−ii−ii
χ1411-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-111-1-1-11-1-1−i−iii11−i−i−i−iiiii-1111-1-1-1−ii1−i−iii-1-111-1-111i−ii−i11-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-111-1-1-11-1-1−i−iii11−i−i−i−iiiii-1111-1-1-1−ii1−i−iii-1-111-1-111i−ii−i
χ1511-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-1-1-111-11-1-1−i−iii11−i−i−i−iiiii1-1-1-1111i−i-1ii−i−iii−i−i−i−iii1-1-1111-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-1-1-111-11-1-1−i−iii11−i−i−i−iiiii1-1-1-1111i−i-1ii−i−iii−i−i−i−iii1-1-11
χ1611-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-1-1-111-11-1-1−i−iii11−i−i−i−iiiii1-1-1-1111i−i-1ii−i−i−i−iiiii−i−i-111-111-1-1-1111-1-11-1−ii1111-1-1−i−iii11-1-1-1-1-1-111-11-1-1−i−iii11−i−i−i−iiiii1-1-1-1111i−i-1ii−i−i−i−iiiii−i−i-111-1
χ1722222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-1-1-1-100000000000022222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1000000000000
χ1822222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-2-211111-2-21111100000000000022222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-2-211111-2-211111000000000000
χ1922222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-1222222-1-1-2-2-2-2-1-11111111122-1-1-1-1-1-2-2-1111100000000000022222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-1222222-1-1-2-2-2-2-1-11111111122-1-1-1-1-1-2-2-11111000000000000
χ2022222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-222-1-1-2-2-2-2-1-111111111-2-211111221-1-1-1-100000000000022222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-222-1-1-2-2-2-2-1-111111111-2-211111221-1-1-1-1000000000000
χ212222-22-22222-2002-2222200002222222222-2-2-2-20000-2-200000000-2-22222-200-200000000000000002222-22-22222-2002-2222200002222222222-2-2-2-20000-2-200000000-2-22222-200-20000000000000000
χ222222-22-22222-2002-222220000222222-2-2-2-2-2-2-2-20000-2-20000000022-2-2-2-2200200000000000000002222-22-22222-2002-222220000222222-2-2-2-2-2-2-2-20000-2-20000000022-2-2-2-220020000000000000000
χ232222-2-1-2-1-1-1210021-1-122−i3i3−i3i3-1-1-1-1-1-12222-2-211000011−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-11001−i3i3−i3i30000000000002222-2-1-2-1-1-1210021-1-122−i3i3−i3i3-1-1-1-1-1-12222-2-211000011−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-11001−i3i3−i3i3000000000000
χ242222-2-1-2-1-1-1210021-1-122−i3i3−i3i3-1-1-1-1-1-1-2-2-2-2-2-211000011−i3−i3i3i3−i3−i3i3i3221111-100-1i3−i3i3−i30000000000002222-2-1-2-1-1-1210021-1-122−i3i3−i3i3-1-1-1-1-1-1-2-2-2-2-2-211000011−i3−i3i3i3−i3−i3i3i3221111-100-1i3−i3i3−i3000000000000
χ252222-2-1-2-1-1-1210021-1-122i3−i3i3−i3-1-1-1-1-1-12222-2-211000011i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-11001i3−i3i3−i30000000000002222-2-1-2-1-1-1210021-1-122i3−i3i3−i3-1-1-1-1-1-12222-2-211000011i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-11001i3−i3i3−i3000000000000
χ262222-2-1-2-1-1-1210021-1-122i3−i3i3−i3-1-1-1-1-1-1-2-2-2-2-2-211000011i3i3−i3−i3i3i3−i3−i3221111-100-1−i3i3−i3i30000000000002222-2-1-2-1-1-1210021-1-122i3−i3i3−i3-1-1-1-1-1-1-2-2-2-2-2-211000011i3i3−i3−i3i3i3−i3−i3221111-100-1−i3i3−i3i3000000000000
χ2722-2-222-22-2-222002-222-2-2000022-2-2-2-222-2-22-2220000-2-2000000002-222-2-2200-2000000000000000022-2-222-22-2-222002-222-2-2000022-2-2-2-222-2-22-2220000-2-2000000002-222-2-2200-20000000000000000
χ2822-2-222-22-2-222002-222-2-2000022-2-2-2-2-2-2222-2220000-2-200000000-22-2-222-2002000000000000000022-2-222-22-2-222002-222-2-2000022-2-2-2-2-2-2222-2220000-2-200000000-22-2-222-20020000000000000000
χ2922-2-22-1-2-1112-10021-1-1-2-23−3−33-1-1111122-2-22-2-1-100001133−3−3−3−3332-2-1-111-10013−3−3300000000000022-2-22-1-2-1112-10021-1-1-2-23−3−33-1-1111122-2-22-2-1-100001133−3−3−3−3332-2-1-111-10013−3−33000000000000
χ3022-2-22-1-2-1112-10021-1-1-2-23−3−33-1-11111-2-2222-2-1-100001133−3−3−3−333-2211-1-1100-1−333−300000000000022-2-22-1-2-1112-10021-1-1-2-23−3−33-1-11111-2-2222-2-1-100001133−3−3−3−333-2211-1-1100-1−333−3000000000000
χ3122-2-22-1-2-1112-10021-1-1-2-2−333−3-1-1111122-2-22-2-1-1000011−3−33333−3−32-2-1-111-1001−333−300000000000022-2-22-1-2-1112-10021-1-1-2-2−333−3-1-1111122-2-22-2-1-1000011−3−33333−3−32-2-1-111-1001−333−3000000000000
χ3222-2-22-1-2-1112-10021-1-1-2-2−333−3-1-11111-2-2222-2-1-1000011−3−33333−3−3-2211-1-1100-13−3−3300000000000022-2-22-1-2-1112-10021-1-1-2-2−333−3-1-11111-2-2222-2-1-1000011−3−33333−3−3-2211-1-1100-13−3−33000000000000
χ3322-2-2-2-12-111212i−2i2-1-1-1-2-2−i−iii-1-1111122-2-2-22112i2i−2i−2i-1-1−i−i−i−iiiii-22-1-11112i−2i-1−i−iii00000000000022-2-2-2-12-111212i−2i2-1-1-1-2-2−i−iii-1-1111122-2-2-22112i2i−2i−2i-1-1−i−i−i−iiiii-22-1-11112i−2i-1−i−iii000000000000
χ3422-2-2-2-12-111212i−2i2-1-1-1-2-2−i−iii-1-11111-2-222-22112i2i−2i−2i-1-1−i−i−i−iiiii2-211-1-1-1−2i2i1ii−i−i00000000000022-2-2-2-12-111212i−2i2-1-1-1-2-2−i−iii-1-11111-2-222-22112i2i−2i−2i-1-1−i−i−i−iiiii2-211-1-1-1−2i2i1ii−i−i000000000000
χ3522-2-2-2-12-11121−2i2i2-1-1-1-2-2ii−i−i-1-1111122-2-2-2211−2i−2i2i2i-1-1iiii−i−i−i−i-22-1-1111−2i2i-1ii−i−i00000000000022-2-2-2-12-11121−2i2i2-1-1-1-2-2ii−i−i-1-1111122-2-2-2211−2i−2i2i2i-1-1iiii−i−i−i−i-22-1-1111−2i2i-1ii−i−i000000000000
χ3622-2-2-2-12-11121−2i2i2-1-1-1-2-2ii−i−i-1-11111-2-222-2211−2i−2i2i2i-1-1iiii−i−i−i−i2-211-1-1-12i−2i1−i−iii00000000000022-2-2-2-12-11121−2i2i2-1-1-1-2-2ii−i−i-1-11111-2-222-2211−2i−2i2i2i-1-1iiii−i−i−i−i2-211-1-1-12i−2i1−i−iii000000000000
χ372-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i000000002−2−i2i22−2−i2i200002-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i000000002−2−i2i22−2−i2i20000
χ382-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i00000000−22i2−i2−22i2−i200002-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i2-22i−2i000000000000000000002-22i−2i00000000−22i2−i2−22i2−i20000
χ392-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i00000000−i2i2−22i2−i22−200002-22i−2i020-22i−2i2000-20222i−2i0000-2-22i2i−2i−2i-22−2i2i00000000000000000000-22−2i2i00000000−i2i2−22i2−i22−20000
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χ422-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i00000000−22−i2i2−22−i2i200002-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i2-2−2i2i000000000000000000002-2−2i2i00000000−22−i2i2−22−i2i20000
χ432-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000−i2i22−2i2−i2−2200002-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000−i2i22−2i2−i2−220000
χ442-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000i2−i2−22−i2i22−200002-2−2i2i020-2−2i2i2000-2022−2i2i0000-2-2−2i−2i2i2i-222i−2i00000000000000000000-222i−2i00000000i2−i2−22−i2i22−20000
χ454444444444-1444-14-1-1-1-14444-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000004444444444-1444-14-1-1-1-14444-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ464444444444-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-1-1-1-11111-1-111111111000000000000000000000000004444444444-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-1-1-1-11111-1-11111111100000000000000000000000000
χ4744444-24-2-2-2-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-1-11−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000044444-24-2-2-2-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-1-11−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.