Finite Group Databasebeta

← Group #72311021

Character table — Group #72311021

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size1122244444444888888888881616161616161616161616161616161616161616323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222444444444422244444444444444444444444444444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-111-1111-1-1-11111-1-1-11-1-1-1-11-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-111-1111-1-1-11111-1-1-11-1-1-1-11-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−i−iii
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ii−i−i
χ91111111111111111-1-1111111111-1111-1-1111111-1-1-1-11-111-111111-111-11111-1-11-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ101111111111111111-1-1111111111-1111-1-1111111-1-1-1-11-111-111111-111-11111-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-1111-111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ121111111111111111-1-1111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-1111-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-111111-111-1-1-11111111-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ141111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-111111-111-1-1-11111111-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ151111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-1-1-11-1-1-111-1-1-11-1-1-1-111-1-11111-11iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i
χ161111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-1-1-11-1-1-111-1-1-11-1-1-1-111-1-11111-11−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii
χ1711111-1-1-1-111111-1-11111111111-111-1-1111-1-1-1-1-111111-11-1-11-1-11-1-11-1-111-1-1111-111-1-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111-1-1-1-111111-1-11111111111-111-1-1111-1-1-1-1-111111-11-1-11-1-11-1-11-1-111-1-1111-111-1-11-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-1-11-11
χ1911111-1-1-1-111111-1-11111111111-111-1-1111-1-1-1-1-111111-1-11-1-11-11-1-11-1-1-1-111111-1-1-1111-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11
χ2011111-1-1-1-111111-1-11111111111-111-1-1111-1-1-1-1-111111-1-11-1-11-11-1-11-1-1-1-111111-1-1-1111-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ2111111-1-1-1-111111-1-111-1-1-1-1-1-111-11-111-1-11-1-1-11111-1-11-11-111-111-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii1-1-11i−i−ii
χ2211111-1-1-1-111111-1-111-1-1-1-1-1-111-11-111-1-11-1-1-11111-1-11-11-111-111-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i1-1-11−iii−i
χ2311111-1-1-1-111111-1-111-1-1-1-1-1-111-11-111-1-11-1-1-11111-1-11-1-111-1111-1-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i-111-1−iii−i
χ2411111-1-1-1-111111-1-111-1-1-1-1-1-111-11-111-1-11-1-1-11111-1-11-1-111-1111-1-1-111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii-111-1i−i−ii
χ2511111-1-1-1-111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1111-111-1-11-111-1111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-11-11-11
χ2611111-1-1-1-111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1111-111-1-11-111-1111-1-1-1-11111-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1
χ2711111-1-1-1-111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111-111-11-11-111-11-1-111-1-111-1-111-1111-1-1-1-11111-1-1-1-111-1-111-1-1111-11-11-11-1
χ2811111-1-1-1-111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111-111-11-11-111-11-1-111-1-111-1-111-11-1-11111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11
χ2911111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111-1-111111-1-11-111-11-11-111-1-111-11-1-111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-1−iii−i
χ3011111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111-1-111111-1-11-111-11-11-111-1-111-11-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-1i−i−ii
χ3111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111-1-11111-11-1-1111-11-11-1-1-11111-1111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i1-1-11i−i−ii
χ3211111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111-1-11111-11-1-1111-11-11-1-1-11111-1111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii1-1-11−iii−i
χ3322222222222222220022222222-2022200-222-2220000-2000000-2-2-20-2-20000000-200000002-22-200002-22-200000000000000000000
χ3422222222222222220022222222-2022200-222-2220000-2000000-2-2-20-2-20000000-20000000-22-220000-22-2200000000000000000000
χ352222222222222222002222-2-2-2-2-20-2-2-200-2-2-2-2220000-20000002220-2-200000002000000000002-22-200002-22-20000000000000000
χ362222222222222222002222-2-2-2-2-20-2-2-200-2-2-2-2220000-20000002220-2-20000000200000000000-22-220000-22-220000000000000000
χ37222222222222222200-2-2-2-222-2-2-2022200-2-2-2-2-2-20000-2000000-2220220000000-2000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ38222222222222222200-2-2-2-222-2-2-2022200-2-2-2-2-2-20000-2000000-2220220000000-200000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ39222222222222222200-2-2-2-2-2-222-20-2-2-200-222-2-2-20000-20000002-2-20220000000200000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ40222222222222222200-2-2-2-2-2-222-20-2-2-200-222-2-2-20000-20000002-2-2022000000020000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ412222222222222222222222-2-2-2-222-2-2-2222-2-222222222200200-2-2-222220000-2-2-2-20000-2-200000000000000000000000000000000
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χ442222222222222222-2-2-2-2-2-222-2-22-2222222-2-22-2-2-2-2222-2002002-2-2-2-2-220000-2-22200002-200000000000000000000000000000000
χ4522222-2-2-2-222222-2-20022222222202-2-200-2-2-22-2-20000-20000002-220-220000000-200000002-2-2200002-2-2200000000000000000000
χ4622222-2-2-2-222222-2-20022222222202-2-200-2-2-22-2-20000-20000002-220-220000000-20000000-222-20000-222-200000000000000000000
χ4722222-2-2-2-222222-2-2002222-2-2-2-220-22200-2222-2-20000-2000000-22-20-2200000002000000000002-2-2200002-2-220000000000000000
χ4822222-2-2-2-222222-2-2002222-2-2-2-220-22200-2222-2-20000-2000000-22-20-220000000200000000000-222-20000-222-20000000000000000
χ4922222-2-2-2-222222-2-200-2-2-2-222-2-2202-2-200-2222220000-200000022-202-20000000-2000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ5022222-2-2-2-222222-2-200-2-2-2-222-2-2202-2-200-2222220000-200000022-202-20000000-200000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ5122222-2-2-2-222222-2-200-2-2-2-2-2-22220-22200-2-2-22220000-2000000-2-2202-20000000200000002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ5222222-2-2-2-222222-2-200-2-2-2-2-2-22220-22200-2-2-22220000-2000000-2-2202-2000000020000000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ5322222-2-2-2-222222-2-2222222-2-2-2-2-22-22222222-2-2-222222-200-2002-22-22-2-20000-2-2-220000-2200000000000000000000000000000000
χ5422222-2-2-2-222222-2-222-2-2-2-222-2-2-222-2-2-2-2222-22222-2-22-200200-2-22-2-222000022220000-2-200000000000000000000000000000000
χ5522222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-222-2-2222-2-2-2-2-2-2-222002002-2222-22000022-2-200002-200000000000000000000000000000000
χ5622222-2-2-2-222222-2-2-2-2-2-2-2-222-2-2-2-22-2-222222-222-2-2222200-200-2-222-22-20000-2-22-200002200000000000000000000000000000000
χ574444444444-4-44-4-4-40000000000-4000044-40040000-4-44000400000000-40000000000000000000000000000000000000000000000
χ584444444444-4-44-4-4-40000000000-40000-4-4-40040000444000-40000000040000000000000000000000000000000000000000000000
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χ604444444444-4-44-4-4-4-4-4000000004-400000400-4004400-4-40000000040000000000000000000000000000000000000000000000000
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χ7044444-4-4-4-44-4-44-444000000000040000-4-4-400-40000444000400000000-40000000000000000000000000000000000000000000000
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χ7244444-4-4-4-44-4-44-444-4-400000000-4-4000004004004400-4400000000-40000000000000000000000000000000000000000000000000
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χ7488888-8-888-8-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ75888-8-88-8000000000000000440000-44-4000000000000000000000000000000000000000000000000000000002-22-22-22-200000000
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χ80888-8-8-88000000000000000440000-4-4400000000000000000000000000000000000000000000000000000000-222-2-222-200000000
χ81888-8-8-88000000000000000-4-4000044-4000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ82888-8-8-88000000000000000-4-4000044-400000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ8388-88-8000008-8000044008-800000-40004-40000004-44-4000000000000000000000000000000000000000000000000000000000000
χ8488-88-8000008-800004400-8800000-4000-440000004-4-44000000000000000000000000000000000000000000000000000000000000
χ8588-88-8000008-80000-4-4008-8000004000-44000000-44-44000000000000000000000000000000000000000000000000000000000000
χ8688-88-8000008-80000-4-400-880000040004-4000000-444-4000000000000000000000000000000000000000000000000000000000000
χ8788-88-800000-880000448-80000000-40004-4000000-44-44000000000000000000000000000000000000000000000000000000000000
χ8888-88-800000-88000044-880000000-4000-44000000-444-4000000000000000000000000000000000000000000000000000000000000
χ8988-88-800000-880000-4-48-800000004000-440000004-44-4000000000000000000000000000000000000000000000000000000000000
χ9088-88-800000-880000-4-4-88000000040004-40000004-4-44000000000000000000000000000000000000000000000000000000000000
χ9188-8-88008-80000000000000004-4000000004-40000000000400-400000004-400000000000000000000000000000000000000000000
χ9288-8-88008-80000000000000004-4000000004-40000000000-40040000000-4400000000000000000000000000000000000000000000
χ9388-8-88008-8000000000000000-4400000000-44000000000400-400000000004-4000000000000000000000000000000000000000000
χ9488-8-88008-8000000000000000-4400000000-44000000000-40040000000000-44000000000000000000000000000000000000000000
χ9588-8-8800-880000000000000004-400000000-440000000000400-40000000-4400000000000000000000000000000000000000000000
χ9688-8-8800-880000000000000004-400000000-440000000000-400400000004-400000000000000000000000000000000000000000000
χ9788-8-8800-88000000000000000-44000000004-4000000000400-40000000000-44000000000000000000000000000000000000000000
χ9888-8-8800-88000000000000000-44000000004-4000000000-400400000000004-4000000000000000000000000000000000000000000
χ9916-160000000-80080008-800008-800000000000000000000000000000000000004-40000000000000000000000000000000000000000
χ10016-160000000-80080008-80000-880000000000000000000000000000000000000-440000000000000000000000000000000000000000
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χ10332-3200000001600-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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