Finite Group Databasebeta

← Group #72236817

Character table — Group #72236817

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222444444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222224444222222222222224444444444444444442222222222444444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ23111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ24111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ26111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ27111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ28111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11
χ29111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11-111-1
χ30111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-11-1-11
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ32111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ332222222222222222-2-2-2-2-2-2-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2220000-2-2-2-200000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-20000-2-22200000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-20000222200000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-222000022-2-200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-22200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222-2-22222-2-2-2-22222-2-22222220000-2-2-2-200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-22222000022-2-200000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-20000222200000000000000000000000000000000000000000000
χ41222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-20000000000002-22-222-2-2000022-2-22-200000000222-20000-2-2000022-2-2002-2002-2000000000000000000000000
χ42222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-20000000000002-22-222-2-2000022-2-22-200000000-2-22-20000220000-2-22200-2200-22000000000000000000000000
χ43222222222222-2-2-2-22222-2-2-2-22222-2-222-2-2000000000000-22-2222-2-20000-2-222-220000000022-220000-2-2000022-2-200-2200-22000000000000000000000000
χ44222222222222-2-2-2-22222-2-2-2-22222-2-222-2-2000000000000-22-2222-2-20000-2-222-2200000000-2-2-220000220000-2-222002-2002-2000000000000000000000000
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χ46222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2220000000000002-2-22-2-2220000-2-222-2200000000-2-22-2000022000022-2-200-22002-2000000000000000000000000
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χ48222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000000-222-2-2-222000022-2-22-200000000-2-2-22000022000022-2-2002-200-22000000000000000000000000
χ49222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-20000000000002-22-2-2-2220000-2-2222-20000002200-2200-2-20022-2-200002-2002-200000000000000000000000000
χ50222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-20000000000002-22-2-2-2220000-2-2222-2000000-2-200-22002200-2-2220000-2200-2200000000000000000000000000
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χ54222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2220000000000002-2-2222-2-2000022-2-2-22000000-2-200-2200220022-2-20000-22002-200000000000000000000000000
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χ56222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222000000000000-222-222-2-20000-2-2222-2000000-2-2002-200220022-2-200002-200-2200000000000000000000000000
χ5722-2-2-2-222-222-222-2-222-2-222-2-20000000000000022-2-222-2-20022000022-2-22-22-2-2-2002-2000000000000000000000000000000002i−2i2i−2i002i−2i00002i−2i00000000
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χ974-444-4-4-44-44-4400000000-44-444-44-4000000000000000000000000-4400000000000000004-400000000004-400000000000000000000000000000000000000
χ984-444-4-4-44-44-4400000000-44-444-44-4000000000000000000000000-440000000000000000-440000000000-4400000000000000000000000000000000000000
χ994-444-4-4-44-44-4400000000-44-44-44-440000000000000000000000004-400000000000000004-40000000000-4400000000000000000000000000000000000000
χ1004-444-4-4-44-44-4400000000-44-44-44-440000000000000000000000004-40000000000000000-4400000000004-400000000000000000000000000000000000000
χ1014-4-4-444-44-4-44400004-44-400004-4-4400000000000000000000004-400000000000000000000000000004-40000004-400000000000000000000000000000000
χ1024-4-4-444-44-4-44400004-44-400004-4-4400000000000000000000004-40000000000000000000000000000-44000000-4400000000000000000000000000000000
χ1034-4-4-444-44-4-44400004-44-40000-444-40000000000000000000000-4400000000000000000000000000004-4000000-4400000000000000000000000000000000
χ1044-4-4-444-44-4-44400004-44-40000-444-40000000000000000000000-440000000000000000000000000000-440000004-400000000000000000000000000000000
χ1054-4-4-444-44-4-4440000-44-4400004-4-440000000000000000000000-44000000000000000000004-40000000000004-40000000000000000000000000000000000
χ1064-4-4-444-44-4-4440000-44-4400004-4-440000000000000000000000-4400000000000000000000-44000000000000-440000000000000000000000000000000000
χ1074-4-4-444-44-4-4440000-44-440000-444-400000000000000000000004-4000000000000000000004-4000000000000-440000000000000000000000000000000000
χ1084-4-4-444-44-4-4440000-44-440000-444-400000000000000000000004-400000000000000000000-440000000000004-40000000000000000000000000000000000
χ1098-888-8-8-888-88-800008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-888-8-8-888-88-80000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-88-800000000000000000000008-8004-44-400004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-88-88-800000000000000000000008-800-44-440000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-80000000000000000000000-88004-44-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-88-80000000000000000000000-8800-44-4400004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-888-8000000000000000000008-800004-4-4400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-888-8000000000000000000008-80000-444-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-888-800000000000000000000-8800004-4-440000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-888-800000000000000000000-880000-444-400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8-888-8888-8-8000000008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8-888-8888-8-800000000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ121161616-16-1616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1221616-161616-16-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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