Finite Group Databasebeta

← Group #14294783

Character table — Group #14294783

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order1244222344466612121212566888810101012121515202020202424242424242424303030303030606060606060606022441010202030303030404040404040404060606060120120120120120120120120120120120120120120120120222444666612121212668888121224242424242424244444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-111-1-1-1-1111-1-111-1ii−i−i-1-111-11111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-111111-11-111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11-1-111-1-111-1-11-1ii−i−i1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111-1-111-1-1-1-1111-1-111-1ii−i−i-1-111-11111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-111111-11-111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11-1-111-1-111-1-11-1ii−i−i1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111-1-111-1-1-1-1111-1-111-1ii−i−i-1-111-11111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-111-1-111-1-111-11−i−iii-11−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ1211111-1-111-1-1-1-1111-1-111-1ii−i−i-1-111-11111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-111-1-111-1-111-11−i−iii-11−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ1311111-1-111-1-1-1-1111-1-111-1−i−iii-1-111-11111-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-111111-11-111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11-1-111-1-111-1-11-1−i−iii1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1411111-1-111-1-1-1-1111-1-111-1−i−iii-1-111-11111-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-111111-11-111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11-1-111-1-111-1-11-1−i−iii1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1511111-1-111-1-1-1-1111-1-111-1−i−iii-1-111-11111-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-111-1-111-1-111-11ii−i−i-11iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ1611111-1-111-1-1-1-1111-1-111-1−i−iii-1-111-11111-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-111-1-111-1-111-11ii−i−i-11iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ1711-1-11111-1-1-1111-1-1-1-1111i−ii−i111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-111-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811-1-11111-1-1-1111-1-1-1-1111i−ii−i111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-111-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ1911-1-11111-1-1-1111-1-1-1-1111i−ii−i111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1111-1-1-1-11111-1-1−ii−ii11−i−iii−i−iiii−ii−i−ii−ii-11-111-11-1
χ2011-1-11111-1-1-1111-1-1-1-1111i−ii−i111-1-111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1111-1-1-1-11111-1-1−ii−ii11−i−iii−i−iii−ii−iii−ii−i1-11-1-11-11
χ2111-1-11111-1-1-1111-1-1-1-1111−ii−ii111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-111-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ2211-1-11111-1-1-1111-1-1-1-1111−ii−ii111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-111-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ2311-1-11111-1-1-1111-1-1-1-1111−ii−ii111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1111-1-1-1-11111-1-1i−ii−i11ii−i−iii−i−ii−ii−i−ii−ii1-11-1-11-11
χ2411-1-11111-1-1-1111-1-1-1-1111−ii−ii111-1-111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1111-1-1-1-11111-1-1i−ii−i11ii−i−iii−i−i−ii−iii−ii−i-11-111-11-1
χ2511-1-11-1-11-111-1-11-1-11111-11-1-11-1-11-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-11-1-11-1111-1-1-1-1111-1-111-1-111-1-111-1-11
χ2611-1-11-1-11-111-1-11-1-11111-11-1-11-1-11-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-11-1-11-1111-1-1-1-111-111-1-111-1-111-1-111-1
χ2711-1-11-1-11-111-1-11-1-11111-11-1-11-1-11-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11-111-11-1-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ2811-1-11-1-11-111-1-11-1-11111-11-1-11-1-11-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11-111-11-1-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ2911-1-11-1-11-111-1-11-1-11111-1-111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-1111-1-111-1-11-1-11111-1-11-1-111-1-11-111-1-111-1
χ3011-1-11-1-11-111-1-11-1-11111-1-111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-1111-1-111-1-11-1-11111-1-1-111-1-111-11-1-111-1-11
χ3111-1-11-1-11-111-1-11-1-11111-1-111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-111-1-111-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ3211-1-11-1-11-111-1-11-1-11111-1-111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-111-1-111-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ332222222-1222-1-1-1-1-1-1-12-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222-1222-1-1-1-1-1-1-12-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111-2-2-2-211111111110000000000000000
χ352222222-1222-1-1-1-1-1-1-12-1-1-2-2-2-2222-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000000000
χ362222222-1222-1-1-1-1-1-1-12-1-1-2-2-2-2222-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2-2-21111111111222211-1-1-1-1-1-1-1-10000000000000000
χ3722222-2-2-12-2-211-1-1-1112-112i2i−2i−2i-2-22-11-1-122-2-2−i−i−i−iiiii1111-1-1-1-1-1-1111122222-22-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−i−i−i−i−iiiiiiiii2-2-22-2-2-1-111-1-111-112i2i−2i−2i-11−i−i−i−iiiii0000000000000000
χ3822222-2-2-12-2-211-1-1-1112-112i2i−2i−2i-2-22-11-1-122-2-2−i−i−i−iiiii1111-1-1-1-1-1-11111-2-2-2-22-22-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−i−i−i−i−iiiiiiiii-222-22211-1-111-1-11-1−2i−2i2i2i1-1iiii−i−i−i−i0000000000000000
χ3922222-2-2-12-2-211-1-1-1112-11−2i−2i2i2i-2-22-11-1-122-2-2iiii−i−i−i−i1111-1-1-1-1-1-1111122222-22-2-1-111−2i−2i−2i−2i2i2i2i2i-1-111iiiiiiii−i−i−i−i−i−i−i−i2-2-22-2-2-1-111-1-111-11−2i−2i2i2i-11iiii−i−i−i−i0000000000000000
χ4022222-2-2-12-2-211-1-1-1112-11−2i−2i2i2i-2-22-11-1-122-2-2iiii−i−i−i−i1111-1-1-1-1-1-11111-2-2-2-22-22-2-1-111−2i−2i−2i−2i2i2i2i2i-1-111iiiiiiii−i−i−i−i−i−i−i−i-222-22211-1-111-1-11-12i2i−2i−2i1-1−i−i−i−iiiii0000000000000000
χ412222-22-22-22-2-2-2222-2-22-220000-2-22-222222-2-200000000-2-2-2-2222222-2-2-2-22222-22-22-2-22200000000-2-2220000000000000000-22-2-2-2222-2-222-2-2-220000-22000000000000000000000000
χ422222-22-22-22-2-2-2222-2-22-220000-2-22-222222-2-200000000-2-2-2-2222222-2-2-2-2-2-2-2-2-22-22-2-22200000000-2-22200000000000000002-2222-2-2-222-2-2222-200002-2000000000000000000000000
χ432222-22-2-1-22-211-1-1-11121-10000-2-221-1-1-122-2-23−33−33−33−31111-1-1-1-1-1-111112222-22-2211-1-10000000011-1-133−3−333−3−333−3−333−3−3-22-2-2-22-1-111-1-1111-100001-13−33−33−33−30000000000000000
χ442222-22-2-1-22-211-1-1-11121-10000-2-221-1-1-122-2-23−33−33−33−31111-1-1-1-1-1-11111-2-2-2-2-22-2211-1-10000000011-1-133−3−333−3−333−3−333−3−32-2222-211-1-111-1-1-110000-11−33−33−33−330000000000000000
χ452222-22-2-1-22-211-1-1-11121-10000-2-221-1-1-122-2-2−33−33−33−331111-1-1-1-1-1-111112222-22-2211-1-10000000011-1-1−3−333−3−333−3−333−3−333-22-2-2-22-1-111-1-1111-100001-1−33−33−33−330000000000000000
χ462222-22-2-1-22-211-1-1-11121-10000-2-221-1-1-122-2-2−33−33−33−331111-1-1-1-1-1-11111-2-2-2-2-22-2211-1-10000000011-1-1−3−333−3−333−3−333−3−3332-2222-211-1-111-1-1-110000-113−33−33−33−30000000000000000
χ472222-2-222-2-2222222222-2-20000222-2-222222200000000222222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-22-22-222222222-2-20000-2-2000000000000000000000000
χ482222-2-222-2-2222222222-2-20000222-2-22222220000000022222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000022-22-22-2-2-2-2-2-2-2-222000022000000000000000000000000
χ492222-2-22-1-2-22-1-1-1-1-1-1-1211000022211-1-12222−i3i3−i3i3i3−i3i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-21111000000001111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-2-22-22-2-1-1-1-1-1-1-1-111000011−i3i3−i3i3i3−i3i3−i30000000000000000
χ502222-2-22-1-2-22-1-1-1-1-1-1-1211000022211-1-12222−i3i3−i3i3i3−i3i3−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000000001111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i322-22-2211111111-1-10000-1-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ512222-2-22-1-2-22-1-1-1-1-1-1-1211000022211-1-12222i3−i3i3−i3−i3i3−i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-21111000000001111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-2-22-22-2-1-1-1-1-1-1-1-111000011i3−i3i3−i3−i3i3−i3i30000000000000000
χ522222-2-22-1-2-22-1-1-1-1-1-1-1211000022211-1-12222i3−i3i3−i3−i3i3−i3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000000001111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i322-22-2211111111-1-10000-1-1−i3i3−i3i3i3−i3i3−i30000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.