Finite Group Databasebeta

← Group #10607113

Character table — Group #10607113

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222444444444444444444444444444488888888888888888888202020202020202040404040
order1222222244445510101010101010101010101010104444202020202020202020202020202020202020202020202020444420202020202020202020202020202020444444442444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ911111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ1011111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1
χ1211111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11
χ1311111111-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1411111111-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1511111111-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1611111111-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+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+5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+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+52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−521−521−5222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ2522222222-2-2-2-2−1+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+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ2622222222-2-2-2-2−1+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+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ2722222222-2-2-2-2−1+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+52−1−52−1−52-2-222−1+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+522-2-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ2822222222-2-2-2-2−1+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+52−1−52−1−52-2-222−1+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+52-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ2922222222-2-2-2-2−1−52−1+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+5222-2-21+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+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ3022222222-2-2-2-2−1−52−1+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+5222-2-21+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+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ3122222222-2-2-2-2−1−52−1+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+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ3222222222-2-2-2-2−1−52−1+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+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ33222-2-2-2-222i2i−2i−2i222-22-22-2-22-2-22-22-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i002-2000000
χ34222-2-2-2-222i2i−2i−2i222-22-22-2-22-2-22-22-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i00-22000000
χ35222-2-2-2-22−2i−2i2i2i222-22-22-2-22-2-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00-22000000
χ36222-2-2-2-22−2i−2i2i2i222-22-22-2-22-2-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i002-2000000
χ372-2222-2-2-22-22-222-2-2-2-2-22-2-22-222220000000000002-22-22-22-20000000000000000000000000000002i−2i002i−2i0000
χ382-2222-2-2-22-22-222-2-2-2-2-22-2-22-222220000000000002-22-22-22-2000000000000000000000000000000−2i2i00−2i2i0000
χ392-2222-2-2-2-22-2222-2-2-2-2-22-2-22-22222000000000000-22-22-22-220000000000000000000000000000002i−2i00−2i2i0000
χ402-2222-2-2-2-22-2222-2-2-2-2-22-2-22-22222000000000000-22-22-22-22000000000000000000000000000000−2i2i002i−2i0000
χ412-22-2-222-22i−2i−2i2i22-22-22-2-22-2-222-22-22-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i−2i2i2i−2i−2i2i22-2-222-2-200000000000000000000000000000000
χ422-22-2-222-22i−2i−2i2i22-22-22-2-22-2-222-22-2-22−2i2i−2i−2i2i2i−2i−2i2i2i2i−2i−2i2i2i−2i−2i2i-2-222-2-22200000000000000000000000000000000
χ432-22-2-222-22i−2i−2i2i−1+52−1−521−52−1+521+52−1−521−521−52−1+521+521+52−1−52−1+521−52−1−521+522-22i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+521−521−52−1−52−1−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000
χ442-22-2-222-22i−2i−2i2i−1+52−1−521−52−1+521+52−1−521−521−52−1+521+521+52−1−52−1+521−52−1−521+522-22i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+521−521−52−1−52−1−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000
χ452-22-2-222-22i−2i−2i2i−1+52−1−521−52−1+521+52−1−521−521−52−1+521+521+52−1−52−1+521−52−1−521+52-22−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71−521−52−1+52−1+521+521+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000
χ462-22-2-222-22i−2i−2i2i−1+52−1−521−52−1+521+52−1−521−521−52−1+521+521+52−1−52−1+521−52−1−521+52-22−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71−521−52−1+52−1+521+521+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000
χ472-22-2-222-22i−2i−2i2i−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+52−1−521+52−1+521−522-22i−2i−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−521+521+52−1+52−1+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000
χ482-22-2-222-22i−2i−2i2i−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+52−1−521+52−1+521−522-22i−2i−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000
χ492-22-2-222-22i−2i−2i2i−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+52−1−521+52−1+521−52-22−2i2iζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ191+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000
χ502-22-2-222-22i−2i−2i2i−1−52−1+521+52−1−521−52−1+521+521+52−1−521−521−52−1+52−1−521+52−1+521−52-22−2i2iζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ191+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000
χ512-22-2-222-2−2i2i2i−2i22-22-22-2-22-2-222-22-22-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i2i2i−2i22-2-222-2-200000000000000000000000000000000
χ522-22-2-222-2−2i2i2i−2i22-22-22-2-22-2-222-22-2-222i−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i−2i-2-222-2-22200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.