Finite Group Databasebeta

← Group #12080803

Character table — Group #12080803

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222222222224444444444444888888888888888888888888888888881616161616161616161616161616161616164040404040404040404040408080
order1222224455101010101010101010101010101044444202020202020202044448888202020202020202040404040404040404040404040404040442020202020202020202020202020202022244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-11111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-1-1-111
χ91111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111-11-1-111-1-11-1
χ101111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-11-1-11-111-1-111-11
χ111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-111111-111-11-1-1-1-111-11
χ121111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-11-1-11-11111-1-11-1
χ131111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1-111-11-1-1111-1
χ141111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1111-1-11-111-1-1-11
χ151111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11-1-1-111-1111-1-1-11
χ161111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1111-1-11-1-1-1111-1
χ17222222222222222222222222-2-22-2-22222222222-2-20000-2-2-2-2-2-2-2-200000000000000000022-2-222-2-20000000000000000000000
χ18222222222222222222222222-2-22-2-222222222-2-2220000-2-2-2-2-2-2-2-2000000000000000000-2-222-2-2220000000000000000000000
χ1922222222−1+52−1−52−1+52−1+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+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2022222222−1+52−1−52−1+52−1+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+52−1−52−1−522222-2-2-2-2−1+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+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2122222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2322222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521−521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−1+52−1−521−521+52−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ2422222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521−521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−1+52−1−521−521+52−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ2522222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521−521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18001−521+52−1+52−1−521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ2622222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521−521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18001−521+52−1+52−1−521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ2722222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1+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
χ2822222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2922222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+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+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−5200000000000000
χ3022222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ3122222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-200001+521+521−521−521+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1−52−1+521+521−52−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ3222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-200001+521+521−521−521+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1−52−1+521+521−52−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ3322222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22200001+521+521−521−521+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001+521−52−1−52−1+521+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ3422222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22200001+521+521−521−521+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001+521−52−1−52−1+521+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ35222222-2-222222222222222222-2-22-2-2-2-2-2-2-2-2-2000000002-22-22-22-20000000000000000000000000000000000002-2-2002000000
χ36222222-2-222222222222222222-2-22-2-2-2-2-2-2-2-2-2000000002-22-22-22-2000000000000000000000000000000000000-22200-2000000
χ37222222-2-22222222222222222-22-2-22-2-2-2-2-2-2-2-200000000-22-22-22-2200000000000000000000000000000000002-2000-220000000
χ38222222-2-22222222222222222-22-2-22-2-2-2-2-2-2-2-200000000-22-22-22-220000000000000000000000000000000000-220002-20000000
χ392222-2-22222-2-2-2-2-2-2-2-22222222-2-2-222222-2-2-2-200000000-22-222-22-2000000000000000000000000000000000022000-2-20000000
χ402222-2-22222-2-2-2-2-2-2-2-22222222-2-2-222222-2-2-2-200000000-22-222-22-20000000000000000000000000000000000-2-2000220000000
χ412222-2-22222-2-2-2-2-2-2-2-2222222-22-22-22222-2-2-2-2000000002-22-2-22-220000000000000000000000000000000000002-2200-2000000
χ422222-2-22222-2-2-2-2-2-2-2-2222222-22-22-22222-2-2-2-2000000002-22-2-22-22000000000000000000000000000000000000-22-2002000000
χ432222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222222-2-220000-2-2-2-2222200000000000000000022-2-2-2-2220000000000000000000000
χ442222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-22222-222-20000-2-2-2-22222000000000000000000-2-22222-2-20000000000000000000000
χ452222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−522-2-2200001−521−521+521+52−1+52−1+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−1+52−1−521−521+521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ462222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−522-2-2200001−521−521+521+52−1+52−1+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−1+52−1−521−521+521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ472222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521−521+521+52−1+52−1+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18001−521+52−1+52−1−52−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ482222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521−521+521+52−1+52−1+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18001−521+52−1+52−1−52−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ492222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-22221−521−521+521+52−1+52−1+52−1−52−1−522-22-222-2-2−1+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+522-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
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χ9788-8-80000−2−25−2+254ζ2−4ζ18−4ζ2+4ζ18−4ζ2+4ζ184ζ2−4ζ184ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ142+25−2−252−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-800−2+25−2−25−2+252−25−2+252−25−2−252+25−2−252+25−2+252−25−2−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-888-800−2−25−2+25−2−252+25−2−252+25−2+252−25−2+252−25−2−252+25−2+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-8800−2+25−2−252−25−2+252−25−2+252+25−2−252+25−2−25−2+252−25−2−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8800−2−25−2+252+25−2−252+25−2−252−25−2+252−25−2+25−2−252+25−2+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.