Finite Group Databasebeta

← Group #72265983

Character table — Group #72265983

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222244444444444488888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232326464646464646464
order12222222222222222222222222222222444444444444442222222222244444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ511111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111111-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ711111111111111111111111111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111111111-1-111111111-1-11111-1-1-1-111-11-11-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111-1-111111111-1-11111-1-1-1-111-11-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-11-1-1111111111-1-1-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ12111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-11-1-1111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ13111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1111111-1-11111-1-1-11-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ14111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-11111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11-1-11111-1-111-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-111111-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-111-1-111-1-11-111111-1-11-11-11-11-11-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-11-111-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-111111-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-111-1-111-1-11-1111-1-1111-11-11-11-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1111-1-1-11-1-1-111-1-111-1-111-11-11-11-11
χ191111-1-1-1-111111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-11-11-1-11-111-111111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1111-1111-1-1-1-111-1-1111-1-111-1-11
χ201111-1-1-1-111111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1111-11-1-11-111-1111-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1111-11-1-11111-1-111-1-1-111-1-111-1
χ211111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-11111-11-1-11-1-111-1-1-11-111-11-111-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1111-1-1-1-111-1-111-111-1-111-1
χ221111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-11111-11-1-11-1-1-1-111-11-111-11-111-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-11-1-11111-1-111-1-11-1-111-1-11
χ231111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-11-11-11111-1-1-11-11-11-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111111-1-1-11-111-1-111-1-111-1-1-11-11-11-11
χ241111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-11-11-111-1-111-11-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111-1-1-11-1-1-111-1-111-1-1111-11-11-11-1
χ251111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-111111-1-1-1-1-1-111-1-11-1-111-1-11-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-1111-11-1-11-11
χ261111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-11-11111-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-11-111-11-1
χ271111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1111-1-1111111-1-11-1-11-111-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-111-1-11111-1-11-1-11-111-1
χ281111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1111-1-11111-1-1111-1-11-111-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-111-1-111-1-1-1-111-111-11-1-11
χ291111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-111111-1-11111-1-1-111-11-1-11-1-11-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-11111-1-1-111-1-11111-1-1-111-11-1-11
χ301111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-111111-1-111-1-111-111-11-1-11-1-11-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-11111-111-1-111-1-1-1-1111-1-11-111-1
χ311111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-111-11-111-11-1
χ321111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-111-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-11111-1-11-11-1-11-11
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χ802222-2-2-2-222-22-222-2-222-22-2-220000-2-22-2-22000000-2-2222-200220-22000000-222-2000-202-20000000000002-2-22-222-200000000002-200000000000000000000
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χ934444-4-444-4-4400-440000-400000000000000004i−4i−4i4i000000000000022-2-20000000000000-2-222000000000000000000000000000000002i−2i−2i2i000000000000
χ944444-4-444-4-4400-440000-400000000000000004i−4i−4i4i0000000000000-2-222000000000000022-2-200000000000000000000000000000000−2i2i2i−2i000000000000
χ954444-4-444-4-4400-440000-40000000000000000−4i4i4i−4i000000000000022-2-20000000000000-2-22200000000000000000000000000000000−2i2i2i−2i000000000000
χ964444-4-444-4-4400-440000-40000000000000000−4i4i4i−4i0000000000000-2-222000000000000022-2-2000000000000000000000000000000002i−2i−2i2i000000000000
χ974-4-444-44-44-400-400004-4004004-4000000004-4000000000000000002-22-200000000000002-22-200000000000000000000000000002-22-20000000000000000
χ984-4-444-44-44-400-400004-4004004-4000000004-400000000000000000-22-220000000000000-22-220000000000000000000000000000-22-220000000000000000
χ994-4-444-44-44-400-400004-400400-4400000000-44000000000000000002-22-200000000000002-22-20000000000000000000000000000-22-220000000000000000
χ1004-4-444-44-44-400-400004-400400-4400000000-4400000000000000000-22-220000000000000-22-2200000000000000000000000000002-22-20000000000000000
χ1014-4-444-4-44-440-40004-4000400000000000000000004-44-40000000002-22-20000000000000-22-220000000000000000000000000000000000002-22-200000000
χ1024-4-444-4-44-440-40004-4000400000000000000000004-44-4000000000-22-2200000000000002-22-2000000000000000000000000000000000000-22-2200000000
χ1034-4-444-4-44-440-40004-400040000000000000000000-44-440000000002-22-20000000000000-22-22000000000000000000000000000000000000-22-2200000000
χ1044-4-444-4-44-440-40004-400040000000000000000000-44-44000000000-22-2200000000000002-22-20000000000000000000000000000000000002-22-200000000
χ1054-4-44-444-4-440-4000-44000400000000000000000004-4-440000000002-2-220000000000000-222-20000000000000000000000000000000000002-2-2200000000
χ1064-4-44-444-4-440-4000-44000400000000000000000004-4-44000000000-222-200000000000002-2-22000000000000000000000000000000000000-222-200000000
χ1074-4-44-444-4-440-4000-4400040000000000000000000-444-40000000002-2-220000000000000-222-2000000000000000000000000000000000000-222-200000000
χ1084-4-44-444-4-440-4000-4400040000000000000000000-444-4000000000-222-200000000000002-2-220000000000000000000000000000000000002-2-2200000000
χ1094-4-44-44-444-400-40000-44004004-400000000-44000000000000000002-2-2200000000000002-2-2200000000000000000000000000002-2-220000000000000000
χ1104-4-44-44-444-400-40000-44004004-400000000-4400000000000000000-222-20000000000000-222-20000000000000000000000000000-222-20000000000000000
χ1114-4-44-44-444-400-40000-4400400-44000000004-4000000000000000002-2-2200000000000002-2-220000000000000000000000000000-222-20000000000000000
χ1124-4-44-44-444-400-40000-4400400-44000000004-400000000000000000-222-20000000000000-222-200000000000000000000000000002-2-220000000000000000
χ113888888-8-8-8-8-800-8800008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148888-8-888-8-8-8008-800008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-88-88-80080000-8800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-88-8808000-88000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-888-8-88080008-8000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-88-888-800800008-800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1191616-16-160000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1201616-16-16000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12216-1616-160000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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