Finite Group Databasebeta

← Group #72285835

Character table — Group #72285835

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222224444444422222244444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1
χ91111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i
χ101111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii
χ111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−iii−i−iii
χ121111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111iiiiiiii−i−i−i−i−i−i−i−i111111-1-11111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111−i−i−i−i−i−i−i−iiiiiiiii111111-1-11111-1-1-1-1-1-111iiii−i−i−i−i−i−iiiii−i−i
χ151111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-111-1-111-1-1iiii−i−i−i−iii−i−i−i−iii
χ1711-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-11-11-11-11-11-11-11-1ii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-11-11-11-11-11-11-1−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-11-1-11-111-1-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1-11-11-11-111-1-11-11ii−i−iii−i−i−ii−ii−ii−ii
χ2011-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-11-1-11-111-1-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1-11-11-11-111-1-11-11−i−iii−i−iiii−ii−ii−ii−i
χ2111-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-1-111-1-11-111-1-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-111-1-111-1-11-111-1-11−i−iii−i−iiii−ii−i−ii−ii
χ2211-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-1-111-1-11-111-1-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-111-1-111-1-11-111-1-11ii−i−iii−i−i−ii−iii−ii−i
χ2311-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-1-11-111-1-11-111-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11-111-1-111-1-11-111-1−i−iii−i−iii−ii−iii−ii−i
χ2411-1-1-1-1111-1-1-1-1111-1-1111-1111-1-1-11111-1-1-1-1-11-111-1-11-111-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11-111-1-111-1-11-111-1ii−i−iii−i−ii−ii−i−ii−ii
χ2511-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-11-11-11-11-11-111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11-111-11-11-1-11-1111-1-1-1-1111-1-111-1-11
χ2611-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-11-11-11-11-11-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11-111-11-11-1-11-11-1-11111-1-1-111-1-111-1
χ2711-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-1-11-111-1-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-11-1-11-111-11-11-111-1-1-1-111-111-1-111-1
χ2811-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-1-11-111-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-11-1-11-111-11-11-1-1-11111-1-11-1-111-1-11
χ2911-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-111-1-11-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-11-1-11-11-111-1-1-11111-1-11-1-11-111-1
χ3011-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-111-1-11-111-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-111-11-1-11-11-111-111-1-1-1-111-111-11-1-11
χ3111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-11-111-1-11-111-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-11-1-11-111-1-111-1-11-1-11111-1-1-111-11-1-11
χ3211-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-11-111-1-11-111-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1-11-111-1-111-1-1111-1-1-1-1111-1-11-111-1
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χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-20000-2-2-2-200000000000000002222-2-2000000002200000000000000000000
χ352222222222222-2-22-2-22222-2-2-2-2-2-222222222220000220000-2-2-2-200000000000000002222-2-200000000-2-200000000000000000000
χ362222222222222-2-22-2-22222-2-2-2-2-2-222222222-2-20000-2-20000-2-2-2-20000000000000000-2-2-2-222000000002200000000000000000000
χ3722222222222-2-2222-2-22-2-2-22-2-22-2222-2-222-2-20000220000222-22-2000000000000000000000000-2-200-2-20000220000000000000000
χ3822222222222-2-2222-2-22-2-2-22-2-22-2222-2-222-2-20000-2-20000-2-22-22-20000000000000000000000002200220000-2-20000000000000000
χ3922222222222-2-2222-2-22-2-2-22-2-22-22-2-222-2-222002200002200-22-220000000000000000000000-2-200-2-2000022000000000000000000
χ4022222222222-2-2222-2-22-2-2-22-2-22-22-2-222-2-22200-2-20000-2-200-22-2200000000000000000000002200220000-2-2000000000000000000
χ4122222222222-2-2-2-22222-2-2-2-222-22-222-2-222-2-2002200002200-22-2200000000000000000000002200-2-20000-2-2000000000000000000
χ4222222222222-2-2-2-22222-2-2-2-222-22-222-2-222-2-200-2-20000-2-200-22-220000000000000000000000-2-20022000022000000000000000000
χ4322222222222-2-2-2-22222-2-2-2-222-22-2-2-222-2-2220000220000222-22-20000000000000000000000002200-2-20000-2-20000000000000000
χ4422222222222-2-2-2-22222-2-2-2-222-22-2-2-222-2-2220000-2-20000-2-22-22-2000000000000000000000000-2-200220000220000000000000000
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χ462222-2-22-2-22-22200200-22-2-20000002i−2i2i−2i2i−2i2i−2i220000-2-200000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2i−2i2i−2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ472222-2-22-2-22-22200200-22-2-20000002i−2i2i−2i2i−2i2i−2i-2-2000022000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2i2i−2i2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ482222-2-22-2-22-22200200-22-2-20000002i−2i2i−2i2i−2i2i−2i-2-200002200000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2i2i−2i2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
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χ502222-2-22-2-22-22200200-22-2-2000000−2i2i−2i2i−2i2i−2i2i220000-2-200000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2i2i−2i2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ512222-2-22-2-22-22200200-22-2-2000000−2i2i−2i2i−2i2i−2i2i-2-2000022000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i2i−2i2i−2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ522222-2-22-2-22-22200200-22-2-2000000−2i2i−2i2i−2i2i−2i2i-2-200002200000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2i−2i2i−2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ5322-2-2222-2-2-22-2-200200-22-220000002i−2i2i−2i−2i2i−2i2i2-20000-22000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2i−2i−2i2i00000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
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χ6522-2-2-2-2222-2-222-2-22-2-22-2-22-2222-2222-2-2-2-222002-200002-200-222-200000000000000000000002-200-220000-22000000000000000000
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χ6722-2-2-2-2222-2-222-2-22-2-22-2-22-2222-22-2-22222-2-200002-200002-22-2-220000000000000000000000002-200-220000-220000000000000000
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χ824444-4-44-4-4-4400-4-4-4004000400-404000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ8344-4-4444-4-44-40044-4004000-400-4040000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ8444-4-4444-4-44-40044-4004000-400-404000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ8544-4-4444-4-44-400-4-4-400400040040-40000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ8644-4-4444-4-44-400-4-4-400400040040-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ8744-4-4444-4-4-444400400-4-44-40000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4444-4-4-444400400-4-44-4000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-4444440000-444-40000-440-400000000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000000000
χ9044-4-4-4-4444440000-444-40000-440-40000000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000000000
χ9144-4-4-4-4444440000-4-4-4-400004-40400000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ9244-4-4-4-4444440000-4-4-4-400004-4040000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ93888-88-8-88-800000000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000000000
χ94888-88-8-88-800000000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000000000
χ95888-8-88-8-880000000000000000000000000000000440000-4-400000000000000000000000000000000000000000000000000000000
χ96888-8-88-8-880000000000000000000000000000000-4-400004400000000000000000000000000000000000000000000000000000000
χ9788-888-8-8-8800000000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000
χ9888-888-8-8-880000000000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000
χ9988-88-88-88-8000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000000000
χ10088-88-88-88-800000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000000000
χ10116-160000000008-88-808-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008-8-880-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000-888-80-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000-88-8808-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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