Finite Group Databasebeta

← Group #17971237

Character table — Group #17971237

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11222444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161617173232323232323232323232323434343434343434343434686868686868686868686868686868686868136136136136136136136136136136136136
order122222224441717171734343434244434343434343434343434343434343434343434343434343434343434343434346868686868686868686868684468686868686868686868686844488888888222444888888888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-1i−iiii−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-1−ii−i−i−iiii
χ51111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111−ii−i−i−iiii
χ81111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111i−iiii−i−i−i
χ9111111-1-11-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1111-1-11-1-1
χ10111111-1-11-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1111111-1-1-1-1-111-111
χ11111111-1-11-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-111-111ii−i−i−i−i−i−iiiii-1-111i−ii−i−i−iii
χ12111111-1-11-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-111-111−i−iiiiiii−i−i−i−i-1-111−ii−iiii−i−i
χ13111111-1-11-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1-111-111
χ14111111-1-11-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-111111-1-11-1-1
χ15111111-1-11-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1iiii−i−i−i−i-111-111ii−i−i−i−i−i−iiiii11-1-1−ii−iiii−i−i
χ16111111-1-11-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1−i−i−i−iiiii-111-111−i−iiiiiii−i−i−i−i11-1-1i−ii−i−i−iii
χ1711111-11-1-11-1111111111-11-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111111-11-1-11-1-1-111-1-1-1-111-1-11-11-111-11-1-11-1
χ1811111-11-1-11-1111111111-11-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-1111-11-1-1-11-111-11
χ1911111-11-1-11-1111111111-11-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1iiii−i−i−i−i1-111-11−i−iii−i−iii−i−iii-11-11i−i−ii−ii−ii
χ2011111-11-1-11-1111111111-11-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1−i−i−i−iiiii1-111-11ii−i−iii−i−iii−i−i-11-11−iii−ii−ii−i
χ2111111-11-1-11-111111111-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-11-11-1-11-111-11
χ2211111-11-1-11-111111111-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-111-11-1111-11-1-11-1
χ2311111-11-1-11-111111111-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1iiii−i−i−i−i1-111-11−i−iii−i−iii−i−iii1-11-1−iii−ii−ii−i
χ2411111-11-1-11-111111111-11-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1−i−i−i−iiiii1-111-11ii−i−iii−i−iii−i−i1-11-1i−i−ii−ii−ii
χ2511111-1-11-1-11111111111-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111-1-11-1-11-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11
χ2611111-1-11-1-11111111111-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-11-1-11-1-111-111-1
χ2711111-1-11-1-11111111111-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1iiii−i−i−i−i11-111-1−i−i−i−iiiiiii−i−i-111-1i−i−i−iiii−i
χ2811111-1-11-1-11111111111-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1−i−i−i−iiiii11-111-1iiii−i−i−i−i−i−iii-111-1−iiii−i−i−ii
χ2911111-1-11-1-1111111111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111-1-11-1-11-1-1-1-111-1-1-1-111-111-1-1-111-111-1
χ3011111-1-11-1-1111111111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-111-111-1-11-1-11
χ3111111-1-11-1-1111111111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i11-111-1−i−i−i−iiiiiii−i−i1-1-11−iiii−i−i−ii
χ3211111-1-11-1-1111111111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii11-111-1iiii−i−i−i−i−i−iii1-1-11i−i−i−iiii−i
χ33222-2-200200-22222222200002222-2-2-2-2-2-2-2-20000000022220000000000000000-2-2-2-2220000000000002-2-222-2-222-2-200-200200002-200002-2000000000000
χ34222-2-200200-22222222200002222-2-2-2-2-2-2-2-20000000022220000000000000000-2-2-2-2220000000000002-2-2-2-222-2-22200-20020000-220000-22000000000000
χ35222-2-200200-22222222200002222-2-2-2-2-2-2-2-20000000022220000000000000000-2-2-2-2-2-2000000000000-2222i2i−2i−2i−2i−2i2i2i00200-200002i−2i0000−2i2i000000000000
χ36222-2-200200-22222222200002222-2-2-2-2-2-2-2-20000000022220000000000000000-2-2-2-2-2-2000000000000-222−2i−2i2i2i2i2i−2i−2i00200-20000−2i2i00002i−2i000000000000
χ37222-2-200-20022222222200002222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000002222220000000000002-2-222-2-222-2-200200-20000-220000-22000000000000
χ38222-2-200-20022222222200002222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000002222220000000000002-2-2-2-222-2-22200200-200002-200002-2000000000000
χ39222-2-200-20022222222200002222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000002222-2-2000000000000-2222i2i−2i−2i−2i−2i2i2i00-20020000−2i2i00002i−2i000000000000
χ40222-2-200-20022222222200002222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000002222-2-2000000000000-222−2i−2i2i2i2i2i−2i−2i00-200200002i−2i0000−2i2i000000000000
χ4122-22-20200-20222222220000-2-2-2-22222-2-2-2-2000022220000000000000000-2-2-2-2000022000000000000-22-22-22-22-22-20-20020002-200002-200000000000000
χ4222-22-20200-20222222220000-2-2-2-22222-2-2-2-2000022220000000000000000-2-2-2-2000022000000000000-22-2-22-22-22-220-2002000-220000-2200000000000000
χ4322-22-20200-20222222220000-2-2-2-22222-2-2-2-2000022220000000000000000-2-2-2-20000-2-20000000000002-222i−2i2i−2i−2i2i−2i2i0200-20002i−2i0000−2i2i00000000000000
χ4422-22-20200-20222222220000-2-2-2-22222-2-2-2-2000022220000000000000000-2-2-2-20000-2-20000000000002-22−2i2i−2i2i2i−2i2i−2i0200-2000−2i2i00002i−2i00000000000000
χ4522-22-20-20020222222220000-2-2-2-22222-2-2-2-20000-2-2-2-200000000000000002222000022000000000000-22-22-22-22-22-20200-2000-220000-2200000000000000
χ4622-22-20-20020222222220000-2-2-2-22222-2-2-2-20000-2-2-2-200000000000000002222000022000000000000-22-2-22-22-22-220200-20002-200002-200000000000000
χ4722-22-20-20020222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000000000000000022220000-2-20000000000002-222i−2i2i−2i−2i2i−2i2i0-2002000−2i2i00002i−2i00000000000000
χ4822-22-20-20020222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000000000000000022220000-2-20000000000002-22−2i2i−2i2i2i−2i2i−2i0-20020002i−2i0000−2i2i00000000000000
χ4922-2-22200-200222222220000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-20000000022000000000000-2-222-2-222-2-22-2002002-200002-20000000000000000
χ5022-2-22200-200222222220000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-20000000022000000000000-2-22-222-2-222-2-200200-220000-220000000000000000
χ5122-2-22200-200222222220000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-200000000-2-200000000000022-22i−2i−2i2i−2i2i2i−2i200-2002i−2i0000−2i2i0000000000000000
χ5222-2-22200-200222222220000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-200000000-2-200000000000022-2−2i2i2i−2i2i−2i−2i2i200-200−2i2i00002i−2i0000000000000000
χ5322-2-22-200200222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022220000000022000000000000-2-222-2-222-2-22200-200-220000-220000000000000000
χ5422-2-22-200200222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022220000000022000000000000-2-22-222-2-222-2200-2002-200002-20000000000000000
χ5522-2-22-200200222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000222200000000-2-200000000000022-22i−2i−2i2i−2i2i2i−2i-200200−2i2i00002i−2i0000000000000000
χ5622-2-22-200200222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000222200000000-2-200000000000022-2−2i2i2i−2i2i−2i−2i2i-2002002i−2i0000−2i2i0000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.