Finite Group Databasebeta

← Group #72341290

Character table — Group #72341290

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1122244444444444444448888888888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222244444422222222224444444448888888822224444444444888888888888888844444444444444444488888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111-1-1-1-111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1111111-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111
χ71111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ91111111111111111-1-111111-1-111111111111111-111111111-1-111-11111-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-111111-1-111111111111111-111111111-1-111-111-1-111-1-1-1-1-1-1-1111111111111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1111111-1-11111-1-1-1-111
χ121111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-111-1-111-1-11111-1-1
χ131111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ141111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-111-1-111-1-111-1-1
χ151111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1
χ161111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-111-11-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ1711111111111-1-1-1-1111-11-1111111-1-1-1-11-1-1-111-1-11iiii−i−i−i−i1-11-1-11-111111-1-111-1-1ii−i−iiiii−i−i−i−i-1-1-1-111ii−i−iii−i−iii−i−ii−i1-1i−i1-11-1i−ii−i
χ1811111111111-1-1-1-1111-11-1111111-1-1-1-11-1-1-111-1-11iiii−i−i−i−i1-11-1-11-1-1-1-1-11-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1ii−i−i−i−iii−i−iiii−i1-1i−i-11-11−ii−ii
χ1911111111111-1-1-1-1111-11-1111111-1-1-1-11-1-1-111-1-11−i−i−i−iiiii1-11-1-11-111111-1-111-1-1−i−iii−i−i−i−iiiii-1-1-1-111−i−iii−i−iii−i−iii−ii1-1−ii1-11-1−ii−ii
χ2011111111111-1-1-1-1111-11-1111111-1-1-1-11-1-1-111-1-11−i−i−i−iiiii1-11-1-11-1-1-1-1-11-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1−i−iiiii−i−iii−i−i−ii1-1−ii-11-11i−ii−i
χ2111111111111-1-1-1-1111-11-11111-1-111-1-11-1-1-1-1-1111iiii−i−i−i−i1-1-11-1-1111111-1-1-1-111ii−i−i−i−i−i−iiiii-1-1-1-111−i−iiiii−i−iii−i−ii−i-11i−i-11-11−ii−ii
χ2211111111111-1-1-1-1111-11-11111-1-111-1-11-1-1-1-1-1111iiii−i−i−i−i1-1-11-1-11-1-1-1-11-1-1-1-111ii−i−i−i−i−i−iiiii1111-1-1−i−iii−i−iii−i−iiii−i-11i−i1-11-1i−ii−i
χ2311111111111-1-1-1-1111-11-11111-1-111-1-11-1-1-1-1-1111−i−i−i−iiiii1-1-11-1-1111111-1-1-1-111−i−iiiiiii−i−i−i−i-1-1-1-111ii−i−i−i−iii−i−iii−ii-11−ii-11-11i−ii−i
χ2411111111111-1-1-1-1111-11-11111-1-111-1-11-1-1-1-1-1111−i−i−i−iiiii1-1-11-1-11-1-1-1-11-1-1-1-111−i−iiiiiii−i−i−i−i1111-1-1ii−i−iii−i−iii−i−i−ii-11−ii1-11-1−ii−ii
χ2511111111111-1-1-1-11-1-1-11-111-1-111-1-1-1-11-1-1-111-1-1-1iiii−i−i−i−i-111-111-111-1-1-111-1-111ii−i−iiiii−i−i−i−i-1-1111-1−i−iiiii−i−i−i−iii−ii-11−ii1-1-11i−i−ii
χ2611111111111-1-1-1-11-1-1-11-111-1-111-1-1-1-11-1-1-111-1-1-1iiii−i−i−i−i-111-111-1-1-111-111-1-111ii−i−iiiii−i−i−i−i11-1-1-11−i−iii−i−iiiii−i−i−ii-11−ii-111-1−iii−i
χ2711111111111-1-1-1-11-1-1-11-111-1-111-1-1-1-11-1-1-111-1-1-1−i−i−i−iiiii-111-111-111-1-1-111-1-111−i−iii−i−i−i−iiiii-1-1111-1ii−i−i−i−iiiii−i−ii−i-11i−i1-1-11−iii−i
χ2811111111111-1-1-1-11-1-1-11-111-1-111-1-1-1-11-1-1-111-1-1-1−i−i−i−iiiii-111-111-1-1-111-111-1-111−i−iii−i−i−i−iiiii11-1-1-11ii−i−iii−i−i−i−iiii−i-11i−i-111-1i−i−ii
χ2911111111111-1-1-1-11-1-1-11-111-1-1-1-111-1-11-1-1-1-1-111-1iiii−i−i−i−i-11-111-1111-1-1-11111-1-1ii−i−i−i−i−i−iiiii-1-1111-1ii−i−iii−i−i−i−iii−ii1-1−ii-111-1−iii−i
χ3011111111111-1-1-1-11-1-1-11-111-1-1-1-111-1-11-1-1-1-1-111-1iiii−i−i−i−i-11-111-11-1-111-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-11ii−i−i−i−iiiii−i−i−ii1-1−ii1-1-11i−i−ii
χ3111111111111-1-1-1-11-1-1-11-111-1-1-1-111-1-11-1-1-1-1-111-1−i−i−i−iiiii-11-111-1111-1-1-11111-1-1−i−iiiiiii−i−i−i−i-1-1111-1−i−iii−i−iiiii−i−ii−i1-1i−i-111-1i−i−ii
χ3211111111111-1-1-1-11-1-1-11-111-1-1-1-111-1-11-1-1-1-1-111-1−i−i−i−iiiii-11-111-11-1-111-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-11−i−iiiii−i−i−i−iiii−i1-1i−i1-1-11−iii−i
χ33222222222-2-222-2-2-200-2-2-22-20000002-2-222-2000002i2i−2i−2i2i2i−2i−2i0000000002200000002i−2i2i−2i00000000002-20-2000000002i−2i2i−2i00000000000000
χ34222222222-2-222-2-2-200-2-2-22-20000002-2-222-2000002i2i−2i−2i2i2i−2i−2i000000000-2-200000002i−2i2i−2i0000000000-220200000000−2i2i−2i2i00000000000000
χ35222222222-2-222-2-2-200-2-2-22-20000002-2-222-200000−2i−2i2i2i−2i−2i2i2i000000000220000000−2i2i−2i2i00000000002-20-200000000−2i2i−2i2i00000000000000
χ36222222222-2-222-2-2-200-2-2-22-20000002-2-222-200000−2i−2i2i2i−2i−2i2i2i000000000-2-20000000−2i2i−2i2i0000000000-2202000000002i−2i2i−2i00000000000000
χ37222222222-2-2-2-222-2002-222-2000000-22-2-2-220000022-2-2-2-2220000000002200000002-2-220000000000-220-2000000002-2-2200000000000000
χ38222222222-2-2-2-222-2002-222-2000000-22-2-2-220000022-2-2-2-222000000000-2-200000002-2-2200000000002-20200000000-222-200000000000000
χ39222222222-2-2-2-222-2002-222-2000000-22-2-2-2200000-2-22222-2-2000000000220000000-222-20000000000-220-200000000-222-200000000000000
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χ452222222-2-222-2-222-2002-22-220000002-2-2-22-20000022-2-2-2-222000000022000000000-222-200000000-2200-2000002-2-22000000000000000000
χ462222222-2-222-2-222-2002-22-220000002-2-2-22-20000022-2-2-2-2220000000-2-2000000000-222-2000000002-200200000-222-2000000000000000000
χ472222222-2-222-2-222-2002-22-220000002-2-2-22-200000-2-22222-2-20000000220000000002-2-2200000000-2200-200000-222-2000000000000000000
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χ9844-4-4400-44-440000-44404000-44-4400000000-4400-40000000000000000000000-440000000000000000000000000000000000000000000000
χ9944-4-4400-44-440000-4-4-4040004-44-4000000004-40040000000000000000000000-440000000000000000000000000000000000000000000000
χ10044-4-4400-44-440000-4-4-4040004-4-4400000000-4400400000000000000000000004-40000000000000000000000000000000000000000000000
χ10188-88-80000008-80000000000004-44-4000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ10288-88-80000008-8000000000000-44-440000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ10388-88-8000000-880000000000004-4-44000000-444-400000000000000000000000000000000000000000000000000000000000000000000000
χ10488-88-8000000-88000000000000-444-40000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88008-8-8800008000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8800-888-800008000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-16000000000000008-800000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000
χ10816-16000000000000008-80000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000
χ10916-1600000000000000-8800000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000
χ11016-1600000000000000-880000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).