Finite Group Databasebeta

← Group #14425762

Character table — Group #14425762

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222222222222244444444444444444444444444444444448888888888888888888888888888888888888812121212202020202424242424242424242424242424242424244040404040404040404060606060120120
order12222344445566610101010101066101010101212121215152020202020202020303030303030303030303030303022666610101010101010103030303030303030303030303030303060606060606060602244224444101010102020202020202020202020204466121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-1
χ9111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-111-1-11111-1-1-1-111-1-11-11-111-1-11-11-11-11-1
χ10111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-111-1-11111-1-1-1-111-1-1-11-11-1-111-11-11-11-11
χ11111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-1-111-1-1-1-11111-1-1111-11-111-1-11-1-11-11-11
χ12111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1-111-1-1-1-11111-1-111-11-11-1-111-111-11-11-1
χ13111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1111-1-1-1-1-1-1111111-1-1-111-1-1-1111-11-11-1-11
χ14111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11-1111-1-1-1-1-1-1111111-1-11-1-1111-1-1-11-11-111-1
χ15111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-11-1-1-1111111-1-1-1-1-1-111-111-1-1-1111-1-11-111-1
χ16111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-111-1-1-1111111-1-1-1-1-1-1111-1-1111-1-1-111-11-1-11
χ172222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000000000000
χ182222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+520000000000000000
χ192222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−520000000000000000
χ202222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000000000000000
χ212222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000000000000
χ222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−520000000000000000
χ232222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+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+5222220000-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000000000000000
χ242222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+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+52-2-2-2-20000221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000000000000000
χ25222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−522-222-2-2−1+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+521−521−521−521−521+521+521+521+522-22-200002-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+520000000000000000
χ26222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−522-222-2-2−1+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+521−521−521−521−521+521+521+521+52-22-220000-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−520000000000000000
χ27222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+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+522-22-20000-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000000000000000
χ28222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1−52-22-2-2221−521−521+521+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+52-22-2200002-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−520000000000000000
χ29222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+522-222-2-2−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−522-22-200002-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000000000000000
χ30222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+522-222-2-2−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−52-22-220000-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000000000000000
χ31222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−52−1−52−1−52−1+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+521−521−521−521−522-22-20000-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000000000000000
χ32222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1+52-22-2-2221+521+521−521−52−1−52−1−52−1+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+521−521−521−521−52-22-2200002-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+520000000000000000
χ3322222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000000022-1-1-1-1-1-1-1-1000000
χ3422222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000000000-2-211111111000000
χ3522222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100002222000000000000000000-2-2-1-11111-1-1000000
χ3622222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000002211-1-1-1-111000000
χ3722222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100002-22-20000000000000000002-2-11-1-111-11000000
χ3822222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-22-22000000000000000000-221-111-1-11-1000000
χ3922222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111100002-22-2000000000000000000-22-1111-1-1-11000000
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χ12044-4-44-2-444-4−1−5−1+522-21+51+51−51−5−1−5−1+52-21+5−1−51−5−1+52-2-221+521−521+5−1−5−1−51+51−5−1+5−1+51−5−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−521+521−5200000000000000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−1−521+521+52−1−52−1+521−521−52−1+52000000000000000000000000000000000000000000
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χ1348-8000-40000−2−25−2+25−4i34i34−4ζ+4ζ4−4ζ11+4ζ144ζ−4ζ4+4ζ11−4ζ14−4ζ2−4ζ7+4ζ8+4ζ134ζ2+4ζ7−4ζ8−4ζ132+252−2500000000001+51−5000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ+2ζ4−2ζ11−2ζ14−2ζ−2ζ4+2ζ11+2ζ14−2ζ+2ζ4+2ζ11−2ζ142ζ−2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ2+2ζ7−2ζ8+2ζ132ζ2−2ζ7+2ζ8−2ζ132ζ2−2ζ7−2ζ8+2ζ13−2ζ2+2ζ7+2ζ8−2ζ13−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8000-40000−2−25−2+25−4i34i344ζ−4ζ4+4ζ11−4ζ14−4ζ+4ζ4−4ζ11+4ζ144ζ2+4ζ7−4ζ8−4ζ13−4ζ2−4ζ7+4ζ8+4ζ132+252−2500000000001+51−500000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ142ζ+2ζ4−2ζ11−2ζ14−2ζ−2ζ4+2ζ11+2ζ142ζ−2ζ4−2ζ11+2ζ14−2ζ+2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2+2ζ7−2ζ8+2ζ132ζ2−2ζ7+2ζ8−2ζ13−2ζ2+2ζ7+2ζ8−2ζ132ζ2−2ζ7−2ζ8+2ζ13−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.