Finite Group Databasebeta

← Group #14460221

Character table — Group #14460221

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222244444444444444444444444444444444444888888888888888888888888888888888888881010101012121212202020202020242424242424242424243030303040404040404040404848484860606060120
order122234444556661010101010104441212121212121212151520202020202020203030303030306060606060606060266101010101220202020202030303030303030306060606060606060606060606060606044448888221212121244404040404040404088884466121212122020202022884
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
χ5111111111111111111111-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11
χ7111111111111111111111-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11
χ8111111111111111111111-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1
χ911111-1-11111111111111-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-11-111-1-11-11111-1-1-1-111111-11-111-1-111-1-111-1-1-1
χ1011111-1-11111111111111-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-111-1-1-11-1-1-1-11111-1-1-1-11-11-111-1-1-1-111-1-1111
χ1111111-1-11111111111111-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-11-1-1111-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111
χ1211111-1-11111111111111-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-11-1-111-11-1-1-1-111111111-11-11-1-111-1-11111-1-1-1
χ1311111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-1-111111-1-1-1-11111-111-1-1-111-1-111-1-1-1-11
χ1411111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1
χ1511111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1
χ1611111-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1111-1-1-1-1-1111111111-1-1111-1-111-1-1-1-1-1-11
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+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+52−1−52−1−52−1−52−1−52−1+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+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+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+52−1−52−1−52−1−52−1−52−1+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+522-2-222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−522−1−52−1+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+521+521+521+521+521−521−521−521−5200002222000000-2-2−1−52−1−52−1+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+522-2-222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−522−1−52−1+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+521+521+521+521+521−521−521−521−520000-2-2-2-2000000221+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+52−1−5222222222222−1+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+52−1−52−1−522−1+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+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+52−1−5222222222222−1+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+52−1−52−1−522−1+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+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+52−1−522-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+522−1+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+52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−522-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+522−1+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+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-2-2-2000000221−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−5200000
χ252222222-2-222222222222-200220000-2-2222222-2-2-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-20000000022220000-2-222220000000000000000-2-20000000000000
χ262222222-2-222222222222-200220000-2-2222222-2-2-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-2-2-2000022-2-2-2-20000000000000000220000000000000
χ2722222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2222222−1−52−1+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+521−521−521−521−52-2-2-21+521+521−521−52-21+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+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022-2-20000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+521+521−5200000
χ2822222-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2222222−1−52−1+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+521−521−521−521−52-2-2-21+521+521−521−52-21+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+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-222000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+5200000
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+521−521−521−521−52222−1−52−1−52−1+52−1+52-21+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+521−521−521−521−52000022-2-2000000-22−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−52−1−52−1+5200000
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+521−521−521−521−52222−1−52−1−52−1+52−1+52-21+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+521−521−521−521−520000-2-2220000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−5200000
χ3122222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2222222−1+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+52-2-2-21−521−521+521+52-21−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022-2-20000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−521−521+5200000
χ3222222-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2222222−1+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+52-2-2-21−521−521+521+52-21−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-222000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−5200000
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+52222−1+52−1+52−1−52−1−52-21−521+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+521−521−521−521−521+521+521+521+52000022-2-2000000-22−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+52−1+52−1−5200000
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+52222−1+52−1+52−1−52−1−52-21−521+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+521−521−521−521−521+521+521+521+520000-2-2220000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+5200000
χ3522222-2-2-2-222222222222200-2-20000-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-2-2-222220000000022-2-20000-2222-2-20000000000000000-220000000000000
χ3622222-2-2-2-222222222222200-2-20000-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-2-2-2222200000000-2-22200002-2-2-22200000000000000002-20000000000000
χ372222-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000000022-1-1-1-1-1-1000000000
χ382222-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000000000000-2-2111111000000000
χ392222-1222222-1-1-12222222-2-2-1-11111-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222000022-1-1-1-100000000000000-2-2-1-11111000000000
χ402222-1222222-1-1-12222222-2-2-1-11111-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-20000-2-21111000000000000002211-1-1-1-1000000000
χ412222-122-2-222-1-1-1222222-200-1-1−i3−i3i3i311-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10−i3i300001-2-20000−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i322220000-2-2-1-1-1-1000000000000000011−i3i3−i3i3000000000
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χ13288-8-8-40000−2−25−2+2544-4−2−25−2+252+252−252+252−25000000000001+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+2ζ46−2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8-40000−2+25−2−2544-4−2+25−2−252−252+252−252+25000000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-8-40000−2+25−2−2544-4−2+25−2−252−252+252−252+25000000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-48-800−2−25−2+25-4442+252−25−2−25−2+252+252−25000-440000001+51−5−2−252+25−2+252−250000−1−5−1−5−1+5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-48-800−2+25−2−25-4442−252+25−2+25−2−252−252+25000-440000001−51+5−2+252−25−2−252+250000−1+5−1+5−1−5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-8800−2−25−2+25-4442+252−25−2−25−2+252+252−250004-40000001+51−52+25−2−252−25−2+250000−1−5−1−5−1+5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-8800−2+25−2−25-4442−252+25−2+25−2−252−252+250004-40000001−51+52−25−2+252+25−2−250000−1+5−1+5−1−5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000

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