Finite Group Databasebeta

← Group #17971221

Character table — Group #17971221

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11222444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161617173232323232323232323232323434343434343434343434686868686868686868686868686868686868136136136136136136136136136136136136
order12244224444171717173434343444883434343468686868686868683434343434343434686868686868686868686868686868686868686868686868226868686813613613613613613613613624444444444224444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1iiii−i−i−i−i-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1i−ii−i-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1−i−i−i−iiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1−ii−ii-1-1−i−iii
χ51111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11−ii−ii11−i−iii
χ81111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11i−ii−i11ii−i−i
χ9111111-11-1-1-1111111111-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-11-1-1-111-1-1-1-111-1-1-1-11-111-1-11-11-11-1
χ10111111-11-1-1-1111111111-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-111111-1-1-1111-1-11-11
χ11111111-11-1-1-1111111111-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1iiii−i−i−i−i-1-1-11-1111ii−i−i−i−i−i−iiiii-11i−i−ii-11i−i−ii
χ12111111-11-1-1-1111111111-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1−i−i−i−iiiii-1-1-11-1111−i−iiiiiii−i−i−i−i-11−iii−i-11−iii−i
χ13111111-11-1-1-111111111-11-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1-1-111-1-1-1-1-11-1-111-11-11-11
χ14111111-11-1-1-111111111-11-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11111-1111-1-1-111-11-1
χ15111111-11-1-1-111111111-11-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i-1-1-11-1111ii−i−i−i−i−i−iiiii1-1−iii−i1-1−iii−i
χ16111111-11-1-1-111111111-11-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiii-1-1-11-1111−i−iiiiiii−i−i−i−i1-1i−i−ii1-1i−i−ii
χ1711111-11-11-1-1111111111-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-11-11-1-1-1-111-1-1-1-111-1-11-111-1-1-11-11-11
χ1811111-11-11-1-1111111111-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1111-1-1-111-111-11-1
χ1911111-11-11-1-1111111111-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1iiii−i−i−i−i-1-11-11-111−i−iii−i−iii−i−iii-11i−i−ii1-1−iii−i
χ2011111-11-11-1-1111111111-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1−i−i−i−iiiii-1-11-11-111ii−i−iii−i−iii−i−i-11−iii−i1-1i−i−ii
χ2111111-11-11-1-111111111-111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111111-11-11-1-1-1-111-1-1-1-111-1-1-11-1-1111-11-11-1
χ2211111-11-11-1-111111111-111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-111-1111-1-11-1-11-11
χ2311111-11-11-1-111111111-111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1iiii−i−i−i−i-1-11-11-111−i−iii−i−iii−i−iii1-1−iii−i-11i−i−ii
χ2411111-11-11-1-111111111-111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1−i−i−i−iiiii-1-11-11-111ii−i−iii−i−iii−i−i1-1i−i−ii-11−iii−i
χ2511111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ2611111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111
χ2711111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−i−i−iiiiiii−i−i-1-1i−ii−i11−i−iii
χ2811111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111-1-1iiii−i−i−i−i−i−iii-1-1−ii−ii11ii−i−i
χ2911111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111
χ3011111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1
χ3111111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i-1-11111-1-1−i−i−i−iiiiiii−i−i11−ii−ii-1-1ii−i−i
χ3211111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiii-1-11111-1-1iiii−i−i−i−i−i−iii11i−ii−i-1-1−i−iii
χ33222-2-200002-22222222200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000022000000000000222-2-222-2-2-2-200002-200002-200002-2000000000000
χ34222-2-200002-22222222200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000220000000000002-2-222-2-222-2-200002-20000-220000-22000000000000
χ35222-2-200002-22222222200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000-2-2000000000000-22i2i−2i−2i−2i−2i2i2i220000-2200002i−2i0000−2i2i000000000000
χ36222-2-200002-22222222200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000-2-2000000000000-2−2i−2i2i2i2i2i−2i−2i220000-220000−2i2i00002i−2i000000000000
χ37222-2-20000-222222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000022000000000000222-2-222-2-2-2-20000-220000-220000-22000000000000
χ38222-2-20000-222222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000220000000000002-2-222-2-222-2-20000-2200002-200002-2000000000000
χ39222-2-20000-222222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000-2-2000000000000-22i2i−2i−2i−2i−2i2i2i2200002-20000−2i2i00002i−2i000000000000
χ40222-2-20000-222222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000-2-2000000000000-2−2i−2i2i2i2i2i−2i−2i2200002-200002i−2i0000−2i2i000000000000
χ4122-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-2000000000000000022000000000000-22-22-22-22-22-2020-200002-200002-200000000000000
χ4222-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-2000000000000000022000000000000-2-22-22-22-222-2020-20000-220000-2200000000000000
χ4322-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000-2-200000000000022i−2i2i−2i−2i2i−2i2i-220-20200002i−2i0000−2i2i00000000000000
χ4422-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000-2-20000000000002−2i2i−2i2i2i−2i2i−2i-220-2020000−2i2i00002i−2i00000000000000
χ4522-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-200002222000000000000000022000000000000-22-22-22-22-22-20-2020000-220000-2200000000000000
χ4622-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-200002222000000000000000022000000000000-2-22-22-22-222-20-20200002-200002-200000000000000
χ4722-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000-2-200000000000022i−2i2i−2i−2i2i−2i2i-22020-20000−2i2i00002i−2i00000000000000
χ4822-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000-2-20000000000002−2i2i−2i2i2i−2i2i−2i-22020-200002i−2i0000−2i2i00000000000000
χ4922-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000000022000000000000-22-2-222-2-22-2220-20002-200002-20000000000000000
χ5022-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000000022000000000000-2-222-2-222-2-2220-2000-220000-220000000000000000
χ5122-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-200000000000000000000-2-200000000000022i−2i−2i2i−2i2i2i−2i2-2-2020002i−2i0000−2i2i0000000000000000
χ5222-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-200000000000000000000-2-20000000000002−2i2i2i−2i2i−2i−2i2i2-2-202000−2i2i00002i−2i0000000000000000
χ5322-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000022220000000000000000000022000000000000-22-2-222-2-22-22-202000-220000-220000000000000000
χ5422-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000022220000000000000000000022000000000000-2-222-2-222-2-22-2020002-200002-20000000000000000
χ5522-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000222200000000000000000000-2-200000000000022i−2i−2i2i−2i2i2i−2i2-220-2000−2i2i00002i−2i0000000000000000
χ5622-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000222200000000000000000000-2-20000000000002−2i2i2i−2i2i−2i−2i2i2-220-20002i−2i0000−2i2i0000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.