Finite Group Databasebeta

← Group #14471462

Character table — Group #14471462

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222244444444444444444444444444444444444888888888888888888888888888888888888881010101012121212202020202020242424242424242424243030303040404040404040404848484860606060120
order1222344445566610101010101044412121212121212121515202020202020202030303030303060606060606060602661010101012202020202020303030303030303060606060606060606060606060606060444488884412121212444040404040404040888822666612122020202022884
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
χ5111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1
χ6111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ7111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11
χ8111111111111111111111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1
χ911111-1-11111111111111-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-11-111-1-11-11111-1-1-1-111111-111-1-11-111-1-111-1-1-1
χ1011111-1-11111111111111-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-111-1-1-11-1-1-1-11111-1-1-1-11-111-1-11-1-1-111-1-1111
χ1111111-1-11111111111111-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-11-1-1111-11111-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1111
χ1211111-1-11111111111111-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-11-1-111-11-1-1-1-111111111-11-1-111-11-1-11111-1-1-1
χ1311111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-1-111111-1-1-1-11111-11-1-1111-1-1-111-1-1-1-11
χ1411111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-11-1-1-1-1-11111-1-1-1-1-11-1-1111-111-1-11111-1
χ1511111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-111111-1-1-1-1-1-1-1-11-111-1-1-11-1-1111111-1
χ1611111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1111-1-1-1-1-1111111111-111-1-1-1111-1-1-1-1-1-11
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+522-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+522-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52−1−522-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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
χ252222222-2-222222222222-200-2-222000022-2-22222-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-20000000022220000-2-2222200000000000000000000-2-2000000000
χ262222222-2-222222222222-200-2-222000022-2-22222-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-2-2-2000022-2-2-2-20000000000000000000022000000000
χ2722222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-22222−1−52−1+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+521−521−521−521−52-2-2-21+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+52-22222-2-22222−1−52−1+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+521−521−521−521−52-2-2-21+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+52-2-2-222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−52222−1−52−1−52−1+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+52-2-2-222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−52222−1−52−1−52−1+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+52−1−52-22222-2-22222−1+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+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+52−1−52-22222-2-22222−1+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+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+52−1−52-2-2-222-2-2-2-2-2-2−1+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+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+52−1−52-2-2-222-2-2-2-2-2-2−1+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+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
χ3522222-2-2-2-222222222222200-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-2-2-222220000000022-2-20000-2222-2-200000000000000000000-22000000000
χ3622222-2-2-2-222222222222200-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-2-2-2222200000000-2-22200002-2-2-222000000000000000000002-2000000000
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
χ392222-1222222-1-1-12222222-2-2-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222000022-1-1-1-100000000000000-2-21111-1-1000000000
χ402222-1222222-1-1-12222222-2-2-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-20000-2-211110000000000000022-1-1-1-111000000000
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χ1368-8-88-48-800−2+25−2−2544-42−252−252+252+25−2+25−2−2500000-4400001−51+500−2+252−25−2−252+2500−1+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+2544-42+252+252−252−25−2−25−2+25000004-400001+51−5002+25−2−252−25−2+2500−1−5−1−5−1+5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-8800−2+25−2−2544-42−252−252+252+25−2+25−2−25000004-400001−51+5002−25−2+252+25−2−2500−1+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.