Finite Group Databasebeta

← Group #10606607

Character table — Group #10606607

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020
order1222222244445510101010101010101010101010102222444444441010101010101010202020202020202020202020202020201010101020202020202020202020202022224444224444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ51111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ1011111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ1111111111-1-1-1-1111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-1111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ1311111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ1411111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ1511111111-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ1611111111-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ1711-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-11-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-11-11-1i−ii−ii−i
χ1811-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-11-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-11-11-11−ii−ii−ii
χ1911-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-11-1-11-11−iii−i−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-111-1-11−iii−i−ii
χ2011-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-11-1-11-11−iii−i−ii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iii1-1-111-1i−i−iii−i
χ2111-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-1-111-1-11−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i1-1-11-11−ii−iii−i
χ2211-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-1-111-1-11−ii−iii−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-111-11-1i−ii−i−ii
χ2311-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-1-11-111-1i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i-11-111-1i−i−ii−ii
χ2411-111-1-1-1ii−i−i111111-1-111-1-1-1-1-1-1-11-111-1i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i-1-111−i−iii1-11-1-11−iii−ii−i
χ2511-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-11-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-11-11-1−ii−ii−ii
χ2611-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-11-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-11-11-11i−ii−ii−i
χ2711-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-11-1-11-11i−i−iii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-111-1-11i−i−iii−i
χ2811-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-11-1-11-11i−i−iii−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-1-111-1−iii−i−ii
χ2911-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-1-111-1-11i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i11-1-1−i−iii1-1-11-11i−ii−i−ii
χ3011-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-1-111-1-11i−ii−i−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-111-11-1−ii−iii−i
χ3111-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-1-11-111-1−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii-11-111-1−iii−ii−i
χ3211-111-1-1-1−i−iii111111-1-111-1-1-1-1-1-1-11-111-1−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i1-11-1-11i−i−ii−ii
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-222-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2-2-2221−521−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222-2-2-2-21−521−521+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+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ37222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ38222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-222-2-2−1−52−1−52−1+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+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ39222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-2-2-2221+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ40222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-21+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+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ4122222222-2-2-2-2−1+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+52−1−52222222-2-2-2-2-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ4222222222-2-2-2-2−1+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+52−1−5222-2-2-2-222-2-222−1+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+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4322222222-2-2-2-2−1+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+52−1−52-2-222-2-22222-2-21−521−521+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4422222222-2-2-2-2−1+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+52−1−52-2-2-2-222-2-222221−521−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ4522222222-2-2-2-2−1−52−1+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+52222222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ4622222222-2-2-2-2−1−52−1+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+5222-2-2-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ4722222222-2-2-2-2−1−52−1+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+52-2-222-2-22222-2-21+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+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ4822222222-2-2-2-2−1−52−1+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+52-2-2-2-222-2-222221+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+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ4922-222-2-2-22i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22-22-22i−2i2i−2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000
χ5022-222-2-2-22i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-2-22-22−2i2i2i−2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ71−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ71−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ5122-222-2-2-22i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-222-2-22−2i2i−2i2i2i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ71−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000
χ5222-222-2-2-22i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22-222-22i−2i−2i2i−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ71−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.