Finite Group Databasebeta

← Group #72240136

Character table — Group #72240136

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222224444444422224444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-11111111111111111111111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-11-1111111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-111-11-1-1-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-11-1111111111-1-1-1-11111
χ911111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11-11-111-1-1-1-1-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-111-11-111-11iiii−i−i−i−iii−i−iii−i−i
χ1011111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11-11-111-1-1-1-1-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-111-11-111-11−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-11-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-11-1-1-1-11-1iiii−i−i−i−i−i−iii−i−iii
χ1211111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-11-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-11-1-1-1-11-1−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1111-11-1-111-1-1-1−i−i−i−iiiii−i−iiiii−i−i
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1111-11-1-111-1-1-1iiii−i−i−i−iii−i−i−i−iii
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1111-1111−i−i−i−iiiiiii−i−i−i−iii
χ1611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1111-1111iiii−i−i−i−i−i−iiiii−i−i
χ171111111111-1-1-1-1111-1-11111111-1-11-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11-11-1-1-1-11-1111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-1111-1-11111111-1-11-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-11-11-1-1-1-11-11-1-111-1-111-11-11-11-11
χ191111111111-1-1-1-1111-1-11111111-1-11-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-111-11-11-111-1-111-1-1-11-11-11-11
χ201111111111-1-1-1-1111-1-11111111-1-11-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-111-11-11-1-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-1111-1-11111111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111-1-111-111-1-1-1-1-1-111-1-111-11-111-11-1
χ221111111111-1-1-1-1111-1-11111111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-111-111-1-1-1-111-1-111-1-11-11-1-11-11
χ231111111111-1-1-1-1111-1-11111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111-11-111111-1-111-1-1111-11-1-11-11
χ241111111111-1-1-1-1111-1-11111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-11-11111111-1-111-1-1-11-111-11-1
χ251111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-11111-11-1111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11-1-1-111-11-1111ii−i−i−i−iiii−i−iii−i−ii
χ261111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-11111-11-1111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11-1-1-111-11-1111−i−iiiii−i−i−iii−i−iii−i
χ271111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-1-1-1-1-1-11-111111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-111-1-1-1111-1-1-1ii−i−i−i−iii−iii−i−iii−i
χ281111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-1111111-1-1-1-1-1-1-11-111111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-111-1-1-1111-1-1-1−i−iiiii−i−ii−i−iii−i−ii
χ291111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111111-1-1-11-1−i−iiiii−i−i−iii−ii−i−ii
χ301111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111111-1-1-11-1ii−i−i−i−iiii−i−ii−iii−i
χ311111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-111-1-1-1-1-1-1-1-111-11-11-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-111-11-1-1-1-111-11−i−iiiii−i−ii−i−ii−iii−i
χ321111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1111-1-111-1-1-1-1-1-1-1-111-11-11-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-111-11-1-1-1-111-11ii−i−i−i−iii−iii−ii−i−ii
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χ3622222222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2-2-2-2-2220000-22-222200-2-200-2-222220000000000000000000002000-200000000000000000000
χ37222222222222-2-222222-2-22-2-2222-2-22-2-222-2-20000-2-2002222-2-2000000-2-2000000000000000000000002-202000-200-2020000000000000000
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χ492222222222-2-222-2-2-22222-2-2-222-2222-2-2-2-2-2-20000220022-222-20000002200000000000000000000000-2-20-2000200-2020000000000000000
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χ9988-8-80-800080000000-88000000000000000004-4-440000000000000000000000-440000000000000000000000000000000000000000000000
χ10088-8-80-800080000000-8800000000000000000-444-400000000000000000000004-40000000000000000000000000000000000000000000000
χ1018-88-8000-880008-80000000000000000000000000000004-400000000004-40000000000000000000000000000000000000000000000000000
χ1028-88-8000-880008-8000000000000000000000000000000-440000000000-440000000000000000000000000000000000000000000000000000
χ1038-88-8000-88000-880000000000000000000000000000004-40000000000-440000000000000000000000000000000000000000000000000000
χ1048-88-8000-88000-88000000000000000000000000000000-4400000000004-40000000000000000000000000000000000000000000000000000
χ1058-8-88-8080000000000008-80000000000000000000004-4000000004-400000000000000000000000000000000000000000000000000000000
χ1068-8-88-8080000000000008-8000000000000000000000-4400000000-4400000000000000000000000000000000000000000000000000000000
χ1078-8-88-808000000000000-880000000000000000000004-400000000-4400000000000000000000000000000000000000000000000000000000
χ1088-8-88-808000000000000-88000000000000000000000-44000000004-400000000000000000000000000000000000000000000000000000000
χ10916-1616-1600016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-16-1616160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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