Finite Group Databasebeta

← Group #14424144

Character table — Group #14424144

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222222222224444444444444444444444444444444444444444488888888888888888888888888888888881010101010101010101010101010202020202020202020202020202020202024242424242424242424242448484848120120120120
order122222344556666666101010101010444441010101012121212121212121212121215152020202030303030303030303030303030302020202020202020202060606060606060606060606060606060606060606060606022444412121212121212122222266666666666644884040404040404040202020204488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111111111-1-1-1-111-1-1
χ91111-1-11111111-1-1-1-11111111-111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-11111-1-1-1-111-1-11-11-1
χ101111-1-11111111-1-1-1-11111111-111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-1-1-11111-1-111-11-11
χ111111-1-11111111-1-1-1-11111111-111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-111111-11-11111-1-1-1-111-1-1-11-11
χ121111-1-11111111-1-1-1-11111111-111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-11-11-1-1-1-11111-1-1111-11-1
χ131111-1-11111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-11-1-11
χ141111-1-11111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-11111-1-1-1-1-1-111-111-1
χ151111-1-11111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1111111-1-1-111-1
χ161111-1-11111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-1-1-1111-1-11
χ17222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000
χ18222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521−521+521−520000
χ19222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+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+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+521−521−521−521−52000000000000000000000000000000022-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000
χ20222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+52−1+522222-2-2-2-2-2-2-2-2−1−52−1+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+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+521−521−521−521−520000000000000000000000000000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000
χ21222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000
χ22222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52222222222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521+521−521+520000
χ23222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+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+52000000000000000000000000000000022-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−520000
χ24222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+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+520000000000000000000000000000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000
χ252222222-2-2222222222222222-200002222-2-2-2-20000000022-2-2-2-222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-2-2-22000022220000000000000000000000000000
χ262222222-2-2222222222222222-200002222-2-2-2-20000000022-2-2-2-222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2222222222222-20000-2-2-2-20000000000000000000000000000
χ27222222-12222-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ28222222-12222-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-2-211111111111100000000000000000000
χ29222222-12222-1-1-1-1-1-1-12222222-2-2-2-22222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000000000000000
χ30222222-12222-1-1-1-1-1-1-12222222-2-2-2-22222-1-1-1-111111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-211111111-222221111-1-1-1-1-1-1-1-100000000000000000000
χ31222222-1-2-222-1-1-1-1-1-1-1222222-2000022221111−i3−i3i3i3−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322-2-2-2-21111111120000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ32222222-1-2-222-1-1-1-1-1-1-1222222-2000022221111−i3−i3i3i3−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-22222-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ33222222-1-2-222-1-1-1-1-1-1-1222222-2000022221111i3i3−i3−i3i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322-2-2-2-21111111120000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ34222222-1-2-222-1-1-1-1-1-1-1222222-2000022221111i3i3−i3−i3i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-22222-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ352222-2-2222−1−52−1+5222-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−5222-2-22222-2-2-2-2−1−52−1+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+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000000000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000
χ362222-2-2222−1−52−1+5222-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−5222-2-22222-2-2-2-2−1−52−1+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+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000000000000000000-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000
χ372222-2-2222−1−52−1+5222-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2221+521+521−521−5222-2-2-2-2-2-22222−1−52−1+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+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000
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χ1468-88-800800−2+25−2−25-880000-82−252+25−2+25−2−252−252+25000000000000000000000−2+25−2−2500002−25−2+252+25−2−25000000002−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-800-400−2−25−2+254-4−4i34i34i3−4i342+252−25−2−25−2+252+252−250000000000000000000001+51−50000−1−51+5−1+51−52ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-800-400−2−25−2+254-44i3−4i3−4i34i342+252−25−2−25−2+252+252−250000000000000000000001+51−50000−1−51+5−1+51−5−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-800-400−2+25−2−254-4−4i34i34i3−4i342−252+25−2+25−2−252−252+250000000000000000000001−51+50000−1+51−5−1−51+52ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-800-400−2+25−2−254-44i3−4i3−4i34i342−252+25−2+25−2−252−252+250000000000000000000001−51+50000−1+51−5−1−51+5−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.