Finite Group Databasebeta

← Group #14458248

Character table — Group #14458248

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size1122222222222222222222222444444444444444444444444444444446688888888888888888888888888888888888888121212121212121212121212121212121212121212242424242424242424404040406060606080808080120120
order122344556881010202020204040404040404040246810101212151520202424303040404040606060601201201201201201201201208868101012202024242430303030303040404040606060606060120120120120120120120120120120120120244482020202020202020404040404040404081010202040404040448822441212242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ61111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ71111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111-1-1-1-1
χ81111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11111
χ9111111111-1-1111111-1-1-1-1-1-1-1-1111-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-111111-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-11111-1-1-1-11-11-11-11-11-11-11-1
χ10111111111-1-1111111-1-1-1-1-1-1-1-1111-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-111111-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11-11-11-11-11-11-11
χ11111111111-1-1111111-1-1-1-1-1-1-1-1111-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11-1-1-1-111111-11-1-11-111-11-1-11
χ12111111111-1-1111111-1-1-1-1-1-1-1-1111-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-11-111-11-1-11-111-1
χ13111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-11-11-111-1-111-1
χ14111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-11111-111-11-11-1-111-1-11
χ15111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-11-11-1-11-11
χ16111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-11-111-11-1
χ17222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1+5222−1−52−1+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+522222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000
χ18222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1+5222−1−52−1+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+52-2-222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-21+521−521+521−521+521+521−521−5200000000000000
χ19222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222−1−52−1+5222−1−52−1+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+5222-2-21+521−52-21+521−522-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521+521−521−5200000000000000
χ20222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222−1−52−1+5222−1−52−1+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+52-2-2-2-21+521−52-21+521−522-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000
χ21222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52222-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52222-2−1−52−1+522−1−52−1+52-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5222-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000
χ22222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52222-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-2−1−52−1+522−1−52−1+52-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-2-222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52−1−52−1−52−1+52−1+5200000000000000
χ23222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-221+521−52-21+521−52-222−1−52−1+521+521+521−521−52−1−52−1−52−1+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+52-2-2-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521−521+521−52−1−52−1−52−1+52−1+5200000000000000
χ24222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-221+521−52-21+521−52-222−1−52−1+521+521+521−521−52−1−52−1−52−1+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+522222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000
χ25222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−522222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−5200000000000000
χ26222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-21−521+521−521+521−521−521+521+5200000000000000
χ27222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5222-2-21−521+52-21−521+522-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521−521+521+5200000000000000
χ28222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521+52-21−521+522-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000
χ29222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52222-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52222-2−1+52−1−522−1+52−1−52-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5222-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000
χ30222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52222-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-2−1+52−1−522−1+52−1−52-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-222-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52−1+52−1+52−1−52−1−5200000000000000
χ31222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-221−521+52-21−521+52-222−1+52−1−521−521−521+521+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+52−1−52−1−52−1−52−1−52-2-2-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521+521−521+52−1+52−1+52−1−52−1−5200000000000000
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χ1398-80-400−2+25−2−25442−422−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ29−4ζ31−4ζ71+4ζ109−4ζ29+4ζ31+4ζ71−4ζ1094ζ61−4ζ79+4ζ101−4ζ119−4ζ61+4ζ79−4ζ101+4ζ119−4ζ23+4ζ37+4ζ77−4ζ1034ζ23−4ζ37−4ζ77+4ζ103−4ζ7+4ζ13−4ζ47+4ζ534ζ7−4ζ13+4ζ47−4ζ53000000001−51+500−2222−1+5−1−500002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ29+2ζ31+2ζ71−2ζ1092ζ29−2ζ31−2ζ71+2ζ109−2ζ61+2ζ79−2ζ101+2ζ1192ζ61−2ζ79+2ζ101−2ζ1192ζ23−2ζ37−2ζ77+2ζ103−2ζ23+2ζ37+2ζ77−2ζ1032ζ7−2ζ13+2ζ47−2ζ53−2ζ7+2ζ13−2ζ47+2ζ53000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-80-400−2+25−2−254−42422−252+254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ61+4ζ79−4ζ101+4ζ1194ζ61−4ζ79+4ζ101−4ζ119−4ζ29+4ζ31+4ζ71−4ζ1094ζ29−4ζ31−4ζ71+4ζ1094ζ7−4ζ13+4ζ47−4ζ53−4ζ7+4ζ13−4ζ47+4ζ534ζ23−4ζ37−4ζ77+4ζ103−4ζ23+4ζ37+4ζ77−4ζ103000000001−51+50022−22−1+5−1−50000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ61−2ζ79+2ζ101−2ζ119−2ζ61+2ζ79−2ζ101+2ζ1192ζ29−2ζ31−2ζ71+2ζ109−2ζ29+2ζ31+2ζ71−2ζ109−2ζ7+2ζ13−2ζ47+2ζ532ζ7−2ζ13+2ζ47−2ζ53−2ζ23+2ζ37+2ζ77−2ζ1032ζ23−2ζ37−2ζ77+2ζ103000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-80-400−2+25−2−254−42422−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ118−4ζ29+4ζ31+4ζ71−4ζ1094ζ29−4ζ31−4ζ71+4ζ109−4ζ61+4ζ79−4ζ101+4ζ1194ζ61−4ζ79+4ζ101−4ζ1194ζ23−4ζ37−4ζ77+4ζ103−4ζ23+4ζ37+4ζ77−4ζ1034ζ7−4ζ13+4ζ47−4ζ53−4ζ7+4ζ13−4ζ47+4ζ53000000001−51+50022−22−1+5−1−500002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ29−2ζ31−2ζ71+2ζ109−2ζ29+2ζ31+2ζ71−2ζ1092ζ61−2ζ79+2ζ101−2ζ119−2ζ61+2ζ79−2ζ101+2ζ119−2ζ23+2ζ37+2ζ77−2ζ1032ζ23−2ζ37−2ζ77+2ζ103−2ζ7+2ζ13−2ζ47+2ζ532ζ7−2ζ13+2ζ47−2ζ53000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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