Finite Group Databasebeta

← Group #12000607

Character table — Group #12000607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111111122222222222222224444444444444444444444888888888888888888888888888888888888888888881616161616161616161640404040808080808080
order1222222255101010101010101010101010101044444420202020202020202020202020202020888888882020202040404040404040404040404040404040404040404040404040404040404040404420202020202020208888244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ51111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ92222222222222222222222222-2-22-2-22222-2-2-2-22222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000000000020-200
χ102222222222222222222222222-2-22-2-22222-2-2-2-22222-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000000000000-20200
χ11222222222222222222222222-22-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000002-22222-2-2-2-20000000000
χ12222222222222222222222222-22-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000-22-2-2-2-222220000000000
χ13222222222222222222222222-2-22-22-2-2-2-2-22222-2-2-2-2222200000000-2-2-2-2000000000000000000000000000000000000000000000020-2000
χ14222222222222222222222222-2-22-22-2-2-2-2-22222-2-2-2-2222200000000-2-2-2-20000000000000000000000000000000000000000000000-202000
χ1522222222−1+52−1−52−1+52−1+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+52−1−52−1−5222222222−1+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+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+52−1−52−1−520000000000
χ1622222222−1+52−1−52−1+52−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+521−521−521+521+520000000000
χ1722222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ1822222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
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+52−1−52−1−52-22-2-2-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ72-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
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+52−1−52−1−52-22-2-2-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
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+52−1−52−1−52-22-2-2-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1+52−1−52−1−52ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
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+52−1−52−1−52-22-2-2-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1+52−1−52−1−52ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ72-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
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+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+520000000000
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+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+522222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−521+521+521−521−520000000000
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+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+52-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000
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+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
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+52-22-2-2-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1−52−1+52−1+52ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ192-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
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+52-22-2-2-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1−52−1+52−1+52ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
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+52-22-2-2-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1−52−1+52−1+52−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
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+52-22-2-2-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1−52−1+52−1+52−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ192-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ312-2-22-2-22222-2-2-2-2222222-2-2-2-2222-2-2-222222222-2-2-2-2-2-2-2-2000000002-22-20000000000000000000000000000000000000000002i2i−2i−2i000000
χ322-2-22-2-22222-2-2-2-2222222-2-2-2-2222-2-2-222222222-2-2-2-2-2-2-2-2000000002-22-2000000000000000000000000000000000000000000−2i−2i2i2i000000
χ332-2-22-2-22222-2-2-2-2222222-2-2-2-22-2-2-2222222-2-2-2-2-2-2-2-22222000022-2-2-22-22000000000000000022-2-222-2-222-2-222-2-200000000000000000000
χ342-2-22-2-22222-2-2-2-2222222-2-2-2-22-2-2-2222222-2-2-2-2-2-2-2-222220000-2-222-22-220000000000000000-2-222-2-222-2-222-2-22200000000000000000000
χ352-2-22-2-22222-2-2-2-2222222-2-2-2-2-22-222-2-2-2-2-2-2-2-2-222222222000000002-22-2000000000000000000000000000000000000000000000000002-2
χ362-2-22-2-22222-2-2-2-2222222-2-2-2-2-22-222-2-2-2-2-2-2-2-2-222222222000000002-22-200000000000000000000000000000000000000000000000000-22
χ372-2-22-2-22222-2-2-2-2222222-2-2-2-2-2-222-22-2-2-2-222222222-2-2-2-222-2-20000-22-2222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ382-2-22-2-22222-2-2-2-2222222-2-2-2-2-2-222-22-2-2-2-222222222-2-2-2-2-2-2220000-22-22-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ392-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+522-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-21−52−1+521+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000
χ402-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+522-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-21−52−1+521+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000
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χ1044-4-44-4-444−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−5-44-444-41+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-444-4-4-4-44-4-44-4-4444400000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000
χ1064-4-4-4444-444-4-4-4-44-4-44-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ107888-8-8-88-8−2+25−2−25−2+25−2+25−2−25−2−25−2+252−252−25−2−252+252+252−252−252+252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ108888-8-8-88-8−2−25−2+25−2−25−2−25−2+25−2+25−2−252+252+25−2+252−252−252+252+252−252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8-8888-8−2+25−2−252−252−252+252+25−2+252−252−25−2−252+252+25−2+25−2+25−2−25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8-8888-8−2−25−2+252+252+252−252−25−2−252+252+25−2+252−252−25−2−25−2−25−2+25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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