Finite Group Databasebeta

← Group #72303571

Character table — Group #72303571

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111111112222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222244444422222222222244444444444422224444888888888888888822444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1511111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1611111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-11-1-111-11-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-111-1-11-111-11-1-11-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ191111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-11-1-111-11-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ201111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-111-1-11-111-11-1-11-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ211111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1-11-11-11-11-11-11-111-11-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ221111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-111-11-11-11-11-1-11-11-11-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ231111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1-11-11-11-11-11-11-111-11-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ241111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-111-11-11-11-11-1-11-11-11-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ251111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii111-1-11-1-11-1-111-1-111-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ261111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-111-111-111-11-1-11-111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ271111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i111-1-11-1-11-1-111-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ281111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-111-111-11-1-11-111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ291111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-111-1-1-1-111-1-111-11-1-11ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ301111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11-1-11111-1-11-111-1-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ311111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-111-1-1-1-111-1-111-11-1-11−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ321111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11-1-11111-1-11-111-1-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ332222222222222222222222-2-2-222-2-2-2-2-2-2-22-2-2-222-2-22-200000000000000000000000000222200-2-2-2-200000000000000000000000000000000
χ342222222222222222222222-2-2-222-2-2-2-2-2-2-22-2-2-222-2-22-200000000000000000000000000-2-2-2-200222200000000000000000000000000000000
χ3522222222222222222222-2-222-2-2-222-2-2-2-2-2-22-2-2-2-222-22222222220000000000000000000000000000-2-2-2-20000000000000000000000000000
χ3622222222222222222222-2-222-2-2-222-2-2-2-2-2-22-2-2-2-222-22-2-2-2-2-2-2-2-2000000000000000000000000000022220000000000000000000000000000
χ3722222222222222222222-2-2-2-22-2-2-2-222222-2-222-2-2-2-2-2-20000000000000000000000002200002200000000-2-2-2-2000000000000000000000000
χ3822222222222222222222-2-2-2-22-2-2-2-222222-2-222-2-2-2-2-2-2000000000000000000000000-2-20000-2-2000000002222000000000000000000000000
χ3922222222-2-2-2-22222-2-2-2-222-2-2-2-2-22222-2-2-22-222-2-2222-20000000000000000000000000022-2-200-2-22200000000000000000000000000000000
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χ4222222222-2-2-2-22222-2-2-2-2-2-222-222-2-222-2-2-2-222222-2-2-22-2-222-2-222000000000000000000000000000022-2-20000000000000000000000000000
χ4322222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-22222-2-20000000000000000000000002-200002-200000000-2-222000000000000000000000000
χ4422222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-22222-2-2000000000000000000000000-220000-220000000022-2-2000000000000000000000000
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χ482222-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-222222-2-22-2-2-222-2-22-2-2-2-2-2222200000000000000000000000000002-22-20000000000000000000000000000
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χ542222-2-2-2-2-2-2-2-222-2-22222-2-222222-2-2-2-22-2-22-222-2-2222-2-2-22222-2-200000000000000000000000000002-2-220000000000000000000000000000
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χ562222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2222222-22222-2-2-2-2-2-222000000000000000000000000-2-2000022000000002-2-22000000000000000000000000
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χ802-2-22-2-22222-2-2-22-22-2-222-22-22-2-22-22-2222-22-22-22-22-2-2200000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000
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χ934444-4-4-4-44-44-4-4-444-44-44000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ944444-4-4-4-44-44-4-4-444-44-4400000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ954444-4-4-4-4-44-44-4-4444-44-4000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ964444-4-4-4-4-44-44-4-4444-44-400000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ974-4-4444-4-44-4-444-4-444-4-44000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ984-4-4444-4-44-4-444-4-444-4-4400000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ994-4-4444-4-4-444-44-4-44-444-4000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ1004-4-4444-4-4-444-44-4-44-444-400000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4-444-44-4-444-4000000000000000000000000000000002-2-22-222-22-2-22-222-200000000000000000000000000000000000000000000
χ1024-4-44-4-4444-4-444-44-4-444-400000000000000000000000000000000-222-22-2-22-222-22-2-2200000000000000000000000000000000000000000000
χ1034-4-44-4-444-444-44-44-44-4-44000000000000000000000000000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000000000000000
χ1044-4-44-4-444-444-44-44-44-4-4400000000000000000000000000000000-222-22-2-222-2-22-222-200000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i000000000000000000000000000000000000004-4004i−4i000000000000000000000000000000000000000000000000000000000000
χ10688-8-88i−8i8i−8i00000000000000000000000000000000000000-4400−4i4i000000000000000000000000000000000000000000000000000000000000
χ10788-8-8−8i8i−8i8i000000000000000000000000000000000000004-400−4i4i000000000000000000000000000000000000000000000000000000000000
χ10888-8-8−8i8i−8i8i00000000000000000000000000000000000000-44004i−4i000000000000000000000000000000000000000000000000000000000000
χ1098-88-88i−8i−8i8i0000000000000000000000000000000000004-4004i−4i00000000000000000000000000000000000000000000000000000000000000
χ1108-88-88i−8i−8i8i000000000000000000000000000000000000-4400−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i0000000000000000000000000000000000004-400−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i000000000000000000000000000000000000-44004i−4i00000000000000000000000000000000000000000000000000000000000000

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