Finite Group Databasebeta

← Group #14425737

Character table — Group #14425737

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444444444444888888888888888888888888888888882020202020202020202020202020202020202020202020202424242424242424242424242424242424242424120120120120
order1222222223556661010101010102244666666666610101010101010101010101012121212151530303030303030303030303030301010101020202020303030303030303030303030303030306060606060606060222244446666666612121212121212124444202020202020202020202020202020202444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-1-1-1111111-1-11-1-1-1-1111-11-1111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11-11-1
χ1011-1-1-1-1111111-1-11-1-1-1-1111-11-1111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11
χ1111-1-1-1-1111111-1-11-1-1-1-1111-11-1111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-11-11111-1-1-1-11111-1-1-1-1-11-11
χ1211-1-1-1-1111111-1-11-1-1-1-1111-11-1111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111-11-1
χ1311-1-1-1-1111111-1-11-1-1-1-111-11-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-11
χ1411-1-1-1-1111111-1-11-1-1-1-111-11-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-111-1
χ1511-1-1-1-1111111-1-11-1-1-1-111-11-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-111-1
χ1611-1-1-1-1111111-1-11-1-1-1-111-11-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-11-1-11
χ172222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ182222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ202222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ212222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ232222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ242222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ25222222222-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ26222222222-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ27222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-111112222222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ28222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-111112222222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ292222-2-22-2-2222222-2-2-2-22200002-2-22-2-20000-2-222-222-22-22-2000022-2-2-2-222-2-222-2-222000000002-22-22-22-20000000000000000002200-2-2000022220000-2-2-2-2000000000000000000000000
χ302222-2-22-2-2222222-2-2-2-22200002-2-22-2-20000-2-222-222-22-22-2000022-2-2-2-222-2-222-2-222000000002-22-22-22-2000000000000000000-2-200220000-2-2-2-200002222000000000000000000000000
χ312222-2-22-2-2-122-1-1-1-2-2-2-2220000-111-111−i3i3−i3i3-2-222-222-22-22-2−i3i3−i3i3-1-11111-1-111-1-111-1-100000000-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002200-2-2−i3i3−i3i3-1-1-1-1−i3i3−i3i31111000000000000000000000000
χ322222-2-22-2-2-122-1-1-1-2-2-2-2220000-111-111−i3i3−i3i3-2-222-222-22-22-2−i3i3−i3i3-1-11111-1-111-1-111-1-100000000-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300-2-20022i3−i3i3−i31111i3−i3i3−i3-1-1-1-1000000000000000000000000
χ332222-2-22-2-2-122-1-1-1-2-2-2-2220000-111-111i3−i3i3−i3-2-222-222-22-22-2i3−i3i3−i3-1-11111-1-111-1-111-1-100000000-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002200-2-2i3−i3i3−i3-1-1-1-1i3−i3i3−i31111000000000000000000000000
χ342222-2-22-2-2-122-1-1-1-2-2-2-2220000-111-111i3−i3i3−i3-2-222-222-22-22-2i3−i3i3−i3-1-11111-1-111-1-111-1-100000000-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-2-20022−i3i3−i3i31111−i3i3−i3i3-1-1-1-1000000000000000000000000
χ35222-22-2-22-2222222-2-2-2-2220000-22-2-22-20000-2-22-222-22-22-22000022-2-2-2-222-2-222-2-22200000000-22-22-22-2200000000000000002200-2-20022220000-2-2-2-20000000000000000000000000000
χ36222-22-2-22-2222222-2-2-2-2220000-22-2-22-20000-2-22-222-22-22-22000022-2-2-2-222-2-222-2-22200000000-22-22-22-220000000000000000-2-2002200-2-2-2-2000022220000000000000000000000000000
χ37222-22-2-22-2-122-1-1-1-2-2-2-22200001-111-11−i3i3−i3i3-2-22-222-22-22-22i3−i3i3−i3-1-11111-1-111-1-111-1-1000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i32200-2-200-1-1-1-1−i3i3−i3i31111−i3i3−i3i3000000000000000000000000
χ38222-22-2-22-2-122-1-1-1-2-2-2-22200001-111-11−i3i3−i3i3-2-22-222-22-22-22i3−i3i3−i3-1-11111-1-111-1-111-1-1000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-2-20022001111i3−i3i3−i3-1-1-1-1i3−i3i3−i3000000000000000000000000
χ39222-22-2-22-2-122-1-1-1-2-2-2-22200001-111-11i3−i3i3−i3-2-22-222-22-22-22−i3i3−i3i3-1-11111-1-111-1-111-1-1000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i32200-2-200-1-1-1-1i3−i3i3−i31111i3−i3i3−i3000000000000000000000000
χ40222-22-2-22-2-122-1-1-1-2-2-2-22200001-111-11i3−i3i3−i3-2-22-222-22-22-22−i3i3−i3i3-1-11111-1-111-1-111-1-1000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-2-20022001111−i3i3−i3i3-1-1-1-1−i3i3−i3i3000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.