Finite Group Databasebeta

← Group #14458494

Character table — Group #14458494

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222244444444444444444444444444444444444888888888888888888888888888888888888881010101012121212202020202020242424242424242424243030303040404040404040404848484860606060120
order1222223445566610101010101022466666610101010121215152020202030303030303030303030303030302661010101010101010122020303030303030303030303030303030306060606060606060224488884466121244404040404040404088882466121212122020202044884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1
χ611111111111111111111-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11
χ711111111111111111111-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11
χ811111111111111111111-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1
χ91111-1-11111111111111111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-11-11111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-1111
χ101111-1-11111111111111111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-111-1-1-11-1-1-1-1111111111-111-11-1-111-1-111-1-1-1
χ111111-1-11111111111111111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-1111-11111-1-1-1-11111-11-1-11-111-1-11111-1-1-1
χ121111-1-11111111111111111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-1-111-11-1-1-1-11111-1-1-1-1-11-1-11-11111-1-1-1-1111
χ131111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11-111-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1
χ141111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111-111-1-11-1-1-1-1-111111111-11-1-1-1111-1-111-1-1-1-11
χ151111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11-1-111-111111-1-1-1-111111-1111-1-1-111-1-1-1-1-1-11
χ161111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-11-1-1111-1-1-1-1-11111-1-1-1-11-1111-1-1-1-1-1111111-1
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+5200000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2000000-2-21+521+521−521−521+521+521−521−520000000000001+521−521+521−5200000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−522−1−52−1+521+521+521+521+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+5200002222000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−5200000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−522−1−52−1+521+521+521+521+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+520000-2-2-2-2000000221+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+5200000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−5200000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2000000-2-21−521−521+521+521−521−521+521+520000000000001−521+521−521+5200000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+522−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+5200000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+522−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2000000221−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−5200000
χ252222222-2-22222222222200-22200002222-2-222-2-2-2-22222222222222200000000000-2-2-20000000000000000-2-2-2-2-2-2-2-222220000-2-22222000000000000000000-2-200000000000
χ262222222-2-22222222222200-22200002222-2-222-2-2-2-22222222222222200000000000-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2000022-2-2-2-20000000000000000002200000000000
χ27222222-12222-1-1-1222222222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000000022-1-1-1-1-1-1000000000
χ28222222-12222-1-1-1222222222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000000000000-2-2111111000000000
χ29222222-12222-1-1-1222222-2-22-1-111112222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-2-2-2-2-1221111111111111111-1-1-1-1-1-1-1-12222000022-1-1-1-100000000000000-2-211-1-111000000000
χ30222222-12222-1-1-1222222-2-22-1-111112222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-2-2-2-2-1221111111111111111-1-1-1-1-1-1-1-1-2-2-2-20000-2-211110000000000000022-1-111-1-1000000000
χ31222222-1-2-222-1-1-122222200-2-1-1−i3−i3i3i3222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10−i3i3000000001-2-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111111122220000-2-2-1-1-1-10000000000000000−i3i311−i3i3000000000
χ32222222-1-2-222-1-1-122222200-2-1-1−i3−i3i3i3222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10−i3i3000000001-2-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111111-2-2-2-200002211110000000000000000i3−i3-1-1i3−i3000000000
χ33222222-1-2-222-1-1-122222200-2-1-1i3i3−i3−i3222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10i3−i3000000001-2-2i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111111122220000-2-2-1-1-1-10000000000000000i3−i311i3−i3000000000
χ34222222-1-2-222-1-1-122222200-2-1-1i3i3−i3−i3222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10i3−i3000000001-2-2i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111111-2-2-2-200002211110000000000000000−i3i3-1-1−i3i3000000000
χ352222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-222221+521+521−521−5222−1−52−1+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+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-20000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−52−1−52−1+5200000
χ362222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-222221+521+521−521−5222−1−52−1+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+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-222000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−5200000
χ372222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-21+521+521−521−5222−1−52−1+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+522221+521+521−521−52−1−52−1−52−1+52−1+52-21+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+52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-2000000-22−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+521+521−5200000
χ382222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-21+521+521−521−5222−1−52−1+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+522221+521+521−521−52−1−52−1−52−1+52−1+52-21+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+52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2220000002-21+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+5200000
χ392222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-222221−521−521+521+5222−1+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+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-20000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+52−1+52−1−5200000
χ402222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-222221−521−521+521+5222−1+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+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-222000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+5200000
χ412222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-21−521−521+521+5222−1+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+52−1−522221−521−521+521+52−1+52−1+52−1−52−1−52-21−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-2000000-22−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−521−521+5200000
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χ1288-88-88-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−25000-440000−2−252+25−2+252−25001+51−500001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.