Finite Group Databasebeta

← Group #72260662

Character table — Group #72260662

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222224444444444888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222224444444444442222222222444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ15111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-111
χ1711111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1111111-1-11111-1-1-1-111-1-111111-11-111-1-111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-11-11-111-1-111-1-11-11-11-11-1
χ1811111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1111111-1-11111-1-1-1-111-1-11111-11-1111-1-1-1-111-1-111-1-1-1-1-11-1111-1-111-1-111-1-111-1-11-11-11-11-1-1-111-1-111-11-11-11-11
χ1911111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-111-1-111111-11-111-1-111-1-1-1-111-1-111-11-111-1-11-1-111-1-1111-11-1-11-11
χ2011111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-11-1111-1-111-1-1-1-111-1-111-11-111-1-1111-1-111-1-1-11-111-11-1
χ2111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11-11-111-1-111-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1111-1-11-11-1111-1-111-1-1-11-11-11-11
χ2211111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-11-1111-1-1-1-111-1-111-1-111-11-11-1-111-1-11111-1-1-1-1111-1-11-11-11-1-111-1-1111-11-11-11-1
χ2311111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111-11-111-1-111-1-111-1-111-1-11-11-1-1-111-1-111-1-11111-1-1-111-1-111-1-1-111-1-111-11-111-11-1
χ2411111-1-1-1-111111-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-11-1111-1-1-1-111-1-11111-1-1-11-11-1-111-1-111-1-11111-1-1-111-1-111-111-1-111-1-11-11-1-11-11
χ2511111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-111111-1-11-1-11111-1-1-1-111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-11-11-11-1111-1-1-1-1111-1-111-1-11
χ2611111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-11111-111-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-11-11-11-11-1-11111-1-1-111-1-111-1
χ2711111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111111-1-11-1-11111-1-111-1-1-1-1111-11-1-111-1-1-11111-1-11-1-11-111-1
χ2811111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-111-1-1-11111-1-111-1-1-1-1111-11-1-111-111-1-1-1-111-111-11-1-11
χ2911111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-111-1-111-111-11-11-111-1-1-1-111-111-1-111-1
χ3011111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1111111-1-1-111-1-1-111-1-11111-1-1-1-111-111-111-1-1-1-111-1-111-1-111-111-11-11-1-1-11111-1-11-1-111-1-11
χ3111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1111-1-11-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-11111-1-111-1-11-1-111-1-11-1-11111-1-1-111-11-1-11
χ3211111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-111-111-1-1-111-1-11111-1-111-1-1-111-111-1-1-1-11111-1-111-1-11-1-111-1-1111-1-1-1-1111-1-11-111-1
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χ944-4-44-44-44-400004004-400004-4000000000022-2-2000000-4400-44002-200-22000000000000000000-22000000002-22-20000-22-22000000000000000000000000
χ954-4-44-44-44-400004004-400004-40000000000-2-2220000004-4004-400-2200-22000000000000000000-2200000000-22-220000-22-22000000000000000000000000
χ964-4-44-44-44-400004004-400004-40000000000-2-222000000-4400-4400-22002-20000000000000000002-200000000-22-2200002-22-2000000000000000000000000
χ974-4-44-44-44-40000400-440000-44000000000022-2-200004-4004-400002-2002-20000000000000000002-200000000-22-220000-22-22000000000000000000000000
χ984-4-44-44-44-40000400-440000-44000000000022-2-20000-4400-4400002-200-22000000000000000000-2200000000-22-2200002-22-2000000000000000000000000
χ994-4-44-44-44-40000400-440000-440000000000-2-22200004-4004-40000-2200-22000000000000000000-22000000002-22-200002-22-2000000000000000000000000
χ1004-4-44-44-44-40000400-440000-440000000000-2-2220000-4400-440000-22002-20000000000000000002-2000000002-22-20000-22-22000000000000000000000000
χ1014-4-44-4-44-4400004004-40000-44000000000022-2-200004-400-440000-22002-2000000000000000000-2200000000-222-20000-222-2000000000000000000000000
χ1024-4-44-4-44-4400004004-40000-44000000000022-2-20000-44004-40000-2200-220000000000000000002-200000000-222-200002-2-22000000000000000000000000
χ1034-4-44-4-44-4400004004-40000-440000000000-2-22200004-400-4400002-200-220000000000000000002-2000000002-2-2200002-2-22000000000000000000000000
χ1044-4-44-4-44-4400004004-40000-440000000000-2-2220000-44004-400002-2002-2000000000000000000-22000000002-2-220000-222-2000000000000000000000000
χ1054-4-44-4-44-440000400-4400004-4000000000022-2-20000004-400-4400-22002-2000000000000000000-22000000002-2-2200002-2-22000000000000000000000000
χ1064-4-44-4-44-440000400-4400004-4000000000022-2-2000000-44004-400-2200-220000000000000000002-2000000002-2-220000-222-2000000000000000000000000
χ1074-4-44-4-44-440000400-4400004-40000000000-2-2220000004-400-44002-200-220000000000000000002-200000000-222-20000-222-2000000000000000000000000
χ1084-4-44-4-44-440000400-4400004-40000000000-2-222000000-44004-4002-2002-2000000000000000000-2200000000-222-200002-2-22000000000000000000000000
χ10988-8-8000000-808000008-8000000000000004-44-4000000000000000000000000000000000000000000004-400000000000000000000000000000000000000
χ11088-8-8000000-808000008-800000000000000-44-4400000000000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ11188-8-8000000-80800000-88000000000000004-44-400000000000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ11288-8-8000000-80800000-8800000000000000-44-44000000000000000000000000000000000000000000004-400000000000000000000000000000000000000
χ1138-88-800000-808000000008-80000000000004-4-4400000000000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ1148-88-800000-808000000008-8000000000000-444-40000000000000000000000000000000000000000000000-44000000000000000000000000000000000000
χ1158-88-800000-80800000000-880000000000004-4-440000000000000000000000000000000000000000000000-44000000000000000000000000000000000000
χ1168-88-800000-80800000000-88000000000000-444-400000000000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ1178-8-8888-8-880000-800000000000000000000000000000000000000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000
χ1188-8-8888-8-880000-80000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000
χ1198-8-888-888-80000-800000000000000000000000000000000000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000
χ1208-8-888-888-80000-80000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000
χ1211616-16-16000000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12216-1616-1600000160-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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