Finite Group Databasebeta

← Group #72236947

Character table — Group #72236947

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111111122222222222244444444444444444444888888888888888888888888888888888888888888161616161616161616161616323232323232323232323232
order1222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ1011111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1111111-1-1-1-111−i−iii−i−iii
χ1111111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11111-1-1-1-111-1-111-1-1−i−iii−i−iii
χ1211111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1111111-1-1-1-111ii−i−iii−i−i
χ1311111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11111-1-1-1-1-1-111-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i
χ1511111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11111-1-1-1-1-1-111-1-111−i−iiiii−i−i
χ1611111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii
χ171111-1-1-1-11-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1ii−i−iii−i−i1-11-1i−ii−i1-11-11-11-1
χ181111-1-1-1-11-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1−i−iii−i−iii1-11-1−ii−ii-11-11-11-11
χ191111-1-1-1-11-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1ii−i−iii−i−i1-11-1i−ii−i-11-11-11-11
χ201111-1-1-1-11-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1−i−iii−i−iii1-11-1−ii−ii1-11-11-11-1
χ211111-1-1-1-11-1-11111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1ii−i−iii−i−i-11-11−ii−ii1-11-1-11-11
χ221111-1-1-1-11-1-11111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1−i−iii−i−iii-11-11i−ii−i-11-111-11-1
χ231111-1-1-1-11-1-11111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1ii−i−iii−i−i-11-11−ii−ii-11-111-11-1
χ241111-1-1-1-11-1-11111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-11-11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1−i−iii−i−iii-11-11i−ii−i1-11-1-11-11
χ251111-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11-1-111-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1ii−i−i−i−iii1-1-11i−i−ii−iii−i−iii−i
χ261111-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11-1-111-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1−i−iiiii−i−i1-1-11−iii−ii−i−iii−i−ii
χ271111-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11-1-111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1ii−i−i−i−iii1-1-11i−i−iii−i−iii−i−ii
χ281111-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11-1-111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1−i−iiiii−i−i1-1-11−iii−i−iii−i−iii−i
χ291111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1ii−i−i−i−iii-111-1−iii−i−iii−ii−i−ii
χ301111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1−i−iiiii−i−i-111-1i−i−iii−i−ii−iii−i
χ311111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1ii−i−i−i−iii-111-1−iii−ii−i−ii−iii−i
χ321111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1−i−iiiii−i−i-111-1i−i−ii−iii−ii−i−ii
χ332222222222222222222222222222222222222222-2-222-2-2-2-2-200000000000000000000000000000000-200000000-2-2-2-2000000000000
χ342222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-200000000000000000000000000000000-2000000002222000000000000
χ3522222222222222222222-2-20000000000000000-2-222-2-222-2-2-222-2-222-2-222-2-222-2-20000000000000000-2000000000000000000000000
χ3622222222222222222222-2-20000000000000000-2-222-2-222-2-2-2-2-222-2-222-2-222-2-2220000000000000000-2000000000000000000000000
χ3722222222222222222222-2-20000000000000000-2-2-2-2-2-2-2-2222000000000000000022-2-222-2-222-2-222-2-22000000000000000000000000
χ3822222222222222222222-2-20000000000000000-2-2-2-2-2-2-2-22220000000000000000-2-222-2-222-2-222-2-2222000000000000000000000000
χ3922222222222-2-2-2-2-2-22-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2200000000000000000000000000000000200000000-2-222000000000000
χ4022222222222-2-2-2-2-2-22-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-220000000000000000000000000000000020000000022-2-2000000000000
χ4122222222222-2-2-2-2-2-22-2-2-2-20000000000000000-2-22222-2-2-2-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000002000000000000000000000000
χ4222222222222-2-2-2-2-2-22-2-2-2-20000000000000000-2-22222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000002000000000000000000000000
χ4322222222222-2-2-2-2-2-22-2-2-2-20000000000000000-2-2-2-2222222-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2000000000000000000000000
χ4422222222222-2-2-2-2-2-22-2-2-2-20000000000000000-2-2-2-2222222-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2000000000000000000000000
χ452222-2-2-2-22-2-22222-2-22-2-2222222-2-2-2-22222-2-2-2-2-2-2-222-22-2-22200000000000000000000000000000000-200000000-22-22000000000000
χ462222-2-2-2-22-2-22222-2-22-2-222-2-2-2-22222-2-2-2-22222-2-2-222-22-2-22200000000000000000000000000000000-2000000002-22-2000000000000
χ472222-2-2-2-22-2-22222-2-22-2-2-2-20000000000000000222-2-22-22-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000-2000000000000000000000000
χ482222-2-2-2-22-2-22222-2-22-2-2-2-20000000000000000222-2-22-22-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000-2000000000000000000000000
χ492222-2-2-2-22-2-22222-2-22-2-2-2-2000000000000000022-22-222-22-2-200000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2000000000000000000000000
χ502222-2-2-2-22-2-22222-2-22-2-2-2-2000000000000000022-22-222-22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2000000000000000000000000
χ512222-2-2-2-22-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-22222-2-2-22-22-22-22-200000000000000000000000000000000200000000-222-2000000000000
χ522222-2-2-2-22-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-22-22-22-22-2000000000000000000000000000000002000000002-2-22000000000000
χ532222-2-2-2-22-2-2-2-2-2-222222-2-20000000000000000222-22-22-2-22-222-2-2-2-222-2-22222-2-200000000000000002000000000000000000000000
χ542222-2-2-2-22-2-2-2-2-2-222222-2-20000000000000000222-22-22-2-22-2-2-22222-2-222-2-2-2-22200000000000000002000000000000000000000000
χ552222-2-2-2-22-2-2-2-2-2-222222-2-2000000000000000022-222-2-222-22000000000000000022-2-2-2-222-2-22222-2-2-2000000000000000000000000
χ562222-2-2-2-22-2-2-2-2-2-222222-2-2000000000000000022-222-2-222-220000000000000000-2-22222-2-222-2-2-2-222-2000000000000000000000000
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χ6644-4-444-4-4000004-40400-40022-2-222-2-222-2-222-2-20000000000000−2i2i00−2i2i00−2i2i00−2i2i−2i2i00−2i2i00−2i2i00−2i2i000000000000000000000000000
χ6744-4-444-4-4000004-40400-400-2-222-2-222-2-222-2-22200000000000002i−2i002i−2i002i−2i002i−2i−2i2i00−2i2i00−2i2i00−2i2i000000000000000000000000000
χ6844-4-444-4-4000004-40400-400-2-222-2-222-2-222-2-2220000000000000−2i2i00−2i2i00−2i2i00−2i2i2i−2i002i−2i002i−2i002i−2i000000000000000000000000000
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χ7944-4-4-4-44400000-440400-400-2-22222-2-222-2-2-2-22200000000000002i−2i00−2i2i00−2i2i002i−2i−2i2i002i−2i002i−2i00−2i2i000000000000000000000000000
χ8044-4-4-4-44400000-440400-400-2-22222-2-222-2-2-2-2220000000000000−2i2i002i−2i002i−2i00−2i2i2i−2i00−2i2i00−2i2i002i−2i000000000000000000000000000
χ814-44-44-44-40004-400400-40002-22-22-22-22-22-22-22-2000000000002i−2i002i−2i002i−2i002i−2i00002i−2i002i−2i002i−2i002i−2i0000000000000000000000000
χ824-44-44-44-40004-400400-40002-22-22-22-22-22-22-22-200000000000−2i2i00−2i2i00−2i2i00−2i2i0000−2i2i00−2i2i00−2i2i00−2i2i0000000000000000000000000
χ834-44-44-44-40004-400400-4000-22-22-22-22-22-22-22-22000000000002i−2i002i−2i002i−2i002i−2i0000−2i2i00−2i2i00−2i2i00−2i2i0000000000000000000000000
χ844-44-44-44-40004-400400-4000-22-22-22-22-22-22-22-2200000000000−2i2i00−2i2i00−2i2i00−2i2i00002i−2i002i−2i002i−2i002i−2i0000000000000000000000000
χ854-44-44-44-4000-4400-40040002-22-22-22-2-22-22-22-22000000000002-2002-200-2200-2200002-2002-200-2200-220000000000000000000000000
χ864-44-44-44-4000-4400-40040002-22-22-22-2-22-22-22-2200000000000-2200-22002-2002-20000-2200-22002-2002-20000000000000000000000000
χ874-44-44-44-4000-4400-4004000-22-22-22-222-22-22-22-2000000000002-2002-200-2200-220000-2200-22002-2002-20000000000000000000000000
χ884-44-44-44-4000-4400-4004000-22-22-22-222-22-22-22-200000000000-2200-22002-2002-200002-2002-200-2200-220000000000000000000000000
χ894-44-4-44-440004-400-40040002-22-2-22-222-22-2-22-22000000000002-200-22002-200-2200002-200-22002-200-220000000000000000000000000
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χ914-44-4-44-440004-400-4004000-22-222-22-2-22-222-22-2000000000002-200-22002-200-220000-22002-200-22002-20000000000000000000000000
χ924-44-4-44-440004-400-4004000-22-222-22-2-22-222-22-200000000000-22002-200-22002-200002-200-22002-200-220000000000000000000000000
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χ944-44-4-44-44000-4400400-40002-22-2-22-22-22-222-22-200000000000−2i2i002i−2i002i−2i00−2i2i0000−2i2i002i−2i002i−2i00−2i2i0000000000000000000000000
χ954-44-4-44-44000-4400400-4000-22-222-22-22-22-2-22-22000000000002i−2i00−2i2i00−2i2i002i−2i0000−2i2i002i−2i002i−2i00−2i2i0000000000000000000000000
χ964-44-4-44-44000-4400400-4000-22-222-22-22-22-2-22-2200000000000−2i2i002i−2i002i−2i00−2i2i00002i−2i00−2i2i00−2i2i002i−2i0000000000000000000000000
χ974-4-444-4-44-44-40000004004-4000000004-4-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-44-44-40000004004-400000000-444-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-44-4000000400-444-4-444-4-4400000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-44-4000000400-44-444-4-444-400000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-4-4-440000004004-4000000004-4-44-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-4-440000004004-400000000-444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-4-44000000400-444-4-44-444-4000000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-4-44000000400-44-444-44-4-44000000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-888-8-888-88000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-888-888-8000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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