Finite Group Databasebeta

← Group #14454314

Character table — Group #14454314

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1111222222222222222222224444444444444444444444444444444888888888888888888888888888888888888888202020202020202020202020202024242424242424242424242440404040404848484860606060120120
order1222344445566610101010101012121212222661212151520202020202020203030303030306060606060606060466101010101010121220202020303030303030303030303030606060606060606060606060448888242424242424242424884040404040404040266121210102020244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ61111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1
χ911111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-11-11-11-1
χ1011111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-111-11-11-11
χ1111111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-1-1-1111-1-111-1-1-11-11-11
χ1211111-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111111-1-1-1-1111-11-11-1
χ1311111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111111-11-1-1-1-1-11111-1-1-11111-1-11-11-1-11
χ1411111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-11-111111-1-1-1-1-1-1-111-1-111-11-111-1
χ1511111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11-11-1-1-1-1-11111111-1-111-1-1-11-111-1
χ1611111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-11-111111-1-1-1-1111-1-1-1-1111-11-1-11
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+52000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000-2-2-2-21+521+521−521−521+521+521−521−52000001+521−521+521−52000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52-2-21+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+521+521+521+521+521−521−521−521−520000000000000022-2-21+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+52000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52-2-21+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+521+521+521+521+521−521−521−521−5200000000000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−521+521−52000000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000−1+52−1−52−1+52−1−52000000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000-2-2-2-21−521−521+521+521−521−521+521+52000001−521+521−521+52000000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000000022-2-21−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−52000000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+52000000
χ252222222-2-2222222222222222-200-2-2-2-2222222-2-2-2-222222222222222000-2-20000000000-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000000002-2-2200
χ262222222-2-2222222222222222-200-2-2-2-2222222-2-2-2-222222222222222000-2-20000000000-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000000-222-200
χ2722222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-222-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521−52−1−52−1−52−1+52−1+52-2-21+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+521−521−521−521−52000000000000002-2-22−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+521+521−52000000
χ2822222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-222-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521−52−1−52−1−52−1+52−1+52-2-21+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+521−521−521−521−5200000000000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+52000000
χ2922222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-21+521−521+521+521−521−5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000002-22-21+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−52000000
χ3022222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-21+521−521+521+521−521−5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000-22-22−1−52−1−52−1+52−1+521+521+521−521−52000001+521−52−1−52−1+52000000
χ3122222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-222-2-222−1+52−1−521−521−521+521+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+52-2221−521+52−1+52−1+52−1−52−1−52-2-21−521−521+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+52−1−52−1−521−521−521−521−521+521+521+521+52000000000000002-2-22−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−521−521+52000000
χ3222222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-222-2-222−1+52−1−521−521−521+521+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+52-2221−521+52−1+52−1+52−1−52−1−52-2-21−521−521+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+52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−52000000
χ3322222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-222−1+52−1−521−521−521+521+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+522-2-21−521+521−521−521+521+5222−1+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+52−1−52−1−52−1−52−1−52000000000000002-22-21−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+52000000
χ3422222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-222−1+52−1−521−521−521+521+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+522-2-21−521+521−521−521+521+5222−1+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+52−1−52−1−52−1−52−1−5200000000000000-22-22−1+52−1+52−1−52−1−521−521−521+521+52000001−521+52−1+52−1−52000000
χ3522222-2-2-2-222222222222-2-2-2-220022-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000220000000000222200000000-2-2-2-2000000000000000000000000000000000000000000022-2-200
χ3622222-2-2-2-222222222222-2-2-2-220022-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000220000000000222200000000-2-2-2-20000000000000000000000000000000000000000000-2-22200
χ372222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-10000000000002-1-1-1-10000000000
χ382222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111000000000000-211110000000000
χ392222-1222222-1-1-1222222-1-1-1-12-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-211-2-2-2-2-1-1-1-111111111-1-1-1-11111111122-2-2-2-2111111110000000000002-1-1-1-10000000000
χ402222-1222222-1-1-1222222-1-1-1-12-2-2-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-211-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-1000000000000-211110000000000
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χ422222-1-2-22222-1-1-12222221111-22211-1-1-1-1-2-2-2-22222-1-1-1-1-1-111111111-2-1-1-2-2222211-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2221111-1-1-1-10000000000002-1-1110000000000
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χ1328-8-88-40000−2−25−2+254-442+252−252+252−25−2−25−2+2543−43−434300000001+51−500000000−1−51+5−1+51−5−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-40000−2−25−2+254-442+252−252+252−25−2−25−2+25−434343−4300000001+51−500000000−1−51+5−1+51−5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-40000−2+25−2−254-442−252+252−252+25−2+25−2−2543−43−434300000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-40000−2+25−2−254-442−252+252−252+25−2+25−2−25−434343−4300000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000

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