Finite Group Databasebeta

← Group #72241264

Character table — Group #72241264

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222224444444444444488888888888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222444444442244444444444444444444442444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111
χ171111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-11-11-11-1ii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-1111-1-11-11ii−i−iii−i−i−ii−ii−ii−ii
χ191111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-11-11-11-1−i−iii−i−iii−ii−ii−ii−ii
χ201111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-1111-1-11-11−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1-1-111-111-1-11−i−iii−i−iiii−ii−i−ii−ii
χ221111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111iiii−i−i−i−iiiii−i−i−i−i-111-1-1-11111-1-1-11-111-1−i−iii−i−iii−ii−iii−ii−i
χ231111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1-1-111-111-1-11ii−i−iii−i−i−ii−iii−ii−i
χ241111-1-1111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111−i−i−i−iiiii−i−i−i−iiiii-111-1-1-11111-1-1-11-111-1ii−i−iii−i−ii−ii−i−ii−ii
χ251111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-1-1-111-1-111-111-11-1ii−i−i−i−iiii−i−iii−i−ii
χ261111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1111-1-111-1-1-11-11-11ii−i−i−i−iii−iii−i−iii−i
χ271111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-111-1-111-111-11-1−i−iiiii−i−i−iii−i−iii−i
χ281111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-111-1-1-11-11-11−i−iiiii−i−ii−i−iii−i−ii
χ291111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11-1-11111-1-11-11-1-11−i−iiiii−i−ii−i−ii−iii−i
χ301111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111iiii−i−i−i−i−i−i−i−iiiii-111-111-1-1-1-1111-1-111-1−i−iiiii−i−i−iii−ii−i−ii
χ311111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11-1-11111-1-11-11-1-11ii−i−i−i−iii−iii−ii−i−ii
χ321111-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-111-1-1-1-1111-1-111-1ii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-200000000000000000000
χ342222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000002200000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000002200000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000-2-200000000000000000000
χ3722222222222222-2-22222-2-222-2-2-2-2-2-22-22-2000000000000000022-2-222-2-222-2-200000000000000000000002200002-22-20000-2-20000000000000000
χ3822222222222222-2-22222-2-222-2-2-2-2-2-22-22-2000000000000000022-2-222-2-222-2-20000000000000000000000-2-20000-22-220000220000000000000000
χ3922222222222222-2-22222-2-222-2-2-2-2-2-22-22-20000000000000000-2-222-2-222-2-2220000000000000000000022002-22-2000000-2-2000000000000000000
χ4022222222222222-2-22222-2-222-2-2-2-2-2-22-22-20000000000000000-2-222-2-222-2-22200000000000000000000-2-200-22-2200000022000000000000000000
χ4122222222222222-2-222-2-222-2-222-2-2-2-2-22-22000000000000000022-2-222-2-2-2-2220000000000000000000000220000-22-220000-2-20000000000000000
χ4222222222222222-2-222-2-222-2-222-2-2-2-2-22-22000000000000000022-2-222-2-2-2-2220000000000000000000000-2-200002-22-20000220000000000000000
χ4322222222222222-2-222-2-222-2-222-2-2-2-2-22-220000000000000000-2-222-2-22222-2-2000000000000000000002200-22-22000000-2-2000000000000000000
χ4422222222222222-2-222-2-222-2-222-2-2-2-2-22-220000000000000000-2-222-2-22222-2-200000000000000000000-2-2002-22-200000022000000000000000000
χ45222222-2-2-2-222-2-2222-200000000-2-2-22000022-2-222-2-2000000002-22-22-22-200002-22-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000002i−2i2i−2i00000000
χ46222222-2-2-2-222-2-2222-200000000-2-2-22000022-2-222-2-2000000002-22-22-22-200002-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000−2i2i−2i2i00000000
χ47222222-2-2-2-222-2-2222-200000000-2-2-22000022-2-222-2-200000000-22-22-22-220000-22-222i2i−2i−2i2i2i−2i−2i000000000000000000000000002i−2i2i−2i000000000000
χ48222222-2-2-2-222-2-2222-200000000-2-2-22000022-2-222-2-200000000-22-22-22-220000-22-22−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2i2i−2i2i000000000000
χ49222222-2-2-2-222-2-2222-200000000-2-2-220000-2-222-2-222000000002-22-22-22-20000-22-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000−2i2i−2i2i00000000
χ50222222-2-2-2-222-2-2222-200000000-2-2-220000-2-222-2-222000000002-22-22-22-20000-22-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000002i−2i2i−2i00000000
χ51222222-2-2-2-222-2-2222-200000000-2-2-220000-2-222-2-22200000000-22-22-22-2200002-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2i2i−2i2i000000000000
χ52222222-2-2-2-222-2-2222-200000000-2-2-220000-2-222-2-22200000000-22-22-22-2200002-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002i−2i2i−2i000000000000
χ532222-2-2222222-2-222-2-22222-2-2-2-2-2-22-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-22-22-2-2220000000000000000000000000000-2200000000000000000000
χ542222-2-2222222-2-222-2-22222-2-2-2-2-2-22-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-22-2222-2-200000000000000000000000000002-200000000000000000000
χ552222-2-2222222-2-222-2-2-2-2-2-22222-2-22-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222-22-2-2-22200000000000000000000000000002-200000000000000000000
χ562222-2-2222222-2-222-2-2-2-2-2-22222-2-22-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222222-22-222-2-20000000000000000000000000000-2200000000000000000000
χ572222-2-2222222-2-2-2-2-2-222-2-2-2-22222-222-2-22000000000000000022-2-2-2-2222-2-2200000000000000000000002-200002-2-220000-220000000000000000
χ582222-2-2222222-2-2-2-2-2-222-2-2-2-22222-222-2-22000000000000000022-2-2-2-2222-2-220000000000000000000000-220000-222-200002-20000000000000000
χ592222-2-2222222-2-2-2-2-2-222-2-2-2-22222-222-2-220000000000000000-2-22222-2-2-222-2000000000000000000002-2002-2-22000000-22000000000000000000
χ602222-2-2222222-2-2-2-2-2-222-2-2-2-22222-222-2-220000000000000000-2-22222-2-2-222-200000000000000000000-2200-222-20000002-2000000000000000000
χ612222-2-2222222-2-2-2-2-2-2-2-22222-2-222-22-222-2000000000000000022-2-2-2-222-222-200000000000000000000002-20000-222-20000-220000000000000000
χ622222-2-2222222-2-2-2-2-2-2-2-22222-2-222-22-222-2000000000000000022-2-2-2-222-222-20000000000000000000000-2200002-2-2200002-20000000000000000
χ632222-2-2222222-2-2-2-2-2-2-2-22222-2-222-22-222-20000000000000000-2-22222-2-22-2-22000000000000000000002-200-222-2000000-22000000000000000000
χ642222-2-2222222-2-2-2-2-2-2-2-22222-2-222-22-222-20000000000000000-2-22222-2-22-2-2200000000000000000000-22002-2-220000002-2000000000000000000
χ652222-2-2-2-2-2-2222222-220000000022-2-2000022-2-2-2-222000000002-22-2-22-2200002-2-220000000022-2-2-2-22200000000000000000000002-2-2200000000
χ662222-2-2-2-2-2-2222222-220000000022-2-2000022-2-2-2-222000000002-22-2-22-2200002-2-2200000000-2-22222-2-20000000000000000000000-222-200000000
χ672222-2-2-2-2-2-2222222-220000000022-2-2000022-2-2-2-22200000000-22-222-22-20000-222-222-2-2-2-222000000000000000000000000002-2-22000000000000
χ682222-2-2-2-2-2-2222222-220000000022-2-2000022-2-2-2-22200000000-22-222-22-20000-222-2-2-22222-2-200000000000000000000000000-222-2000000000000
χ692222-2-2-2-2-2-2222222-220000000022-2-20000-2-22222-2-2000000002-22-2-22-220000-222-20000000022-2-2-2-2220000000000000000000000-222-200000000
χ702222-2-2-2-2-2-2222222-220000000022-2-20000-2-22222-2-2000000002-22-2-22-220000-222-200000000-2-22222-2-200000000000000000000002-2-2200000000
χ712222-2-2-2-2-2-2222222-220000000022-2-20000-2-22222-2-200000000-22-222-22-200002-2-2222-2-2-2-22200000000000000000000000000-222-2000000000000
χ722222-2-2-2-2-2-2222222-220000000022-2-20000-2-22222-2-200000000-22-222-22-200002-2-22-2-22222-2-2000000000000000000000000002-2-22000000000000
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χ844444-4-444-4-4-4-4-4-400444400-4-4000000-404000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
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χ9488-8-80000008-8000000000000008-800000000000000-4-444-4-444000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-80000008-800000000000000-880000000000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-80000008-800000000000000-8800000000000000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8000000-88008-8000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-88008-800000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-8800-880000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000-8800-88000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800008-8000000000000008-80000000000004-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800008-8000000000000008-8000000000000-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-800008-800000000000000-880000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800008-800000000000000-88000000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-80000-8800000000008-800000000000000004-4-4400004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-80000-8800000000008-80000000000000000-444-40000-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-80000-880000000000-8800000000000000004-4-440000-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-80000-880000000000-880000000000000000-444-400004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-88-800008-800000000000000000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-88-800008-80000000000000000000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-8-880000-8800008-8008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-8-880000-880000-8800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-888-80000-8800000000000000000000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-888-80000-880000000000000000000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-88-8800008-800008-800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-88-8800008-80000-88008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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