Finite Group Databasebeta

← Group #72236077

Character table — Group #72236077

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222224444444444444444444444444444888888888888881616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order12442222222444444422222222222222444444444444442222222444444422222244444444444444444444444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-11-1-11-111-1-11-1111-1-1-1-111-1-11111-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2011-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-11-1-11-111-1-11-1111-1-1-1-111-1-11111-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2111-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-1-111-1-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2211-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-1-111-1-11-111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2311-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-1-11-111-1-11-111-1-1-111-1-11111-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2411-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-111-111-1-1-11-111-1-11-111-1-1-111-1-11111-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2511-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1111-11-11-11-11-11-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1111-11-11-11-11-11-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ2711-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1111-1-11-111-1-11-1111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2811-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1111-1-11-111-1-11-1111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ2911-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-111-1-11-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ3011-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-111-1-11-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ3111-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-11-111-1-11-111-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3211-1-11111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-11-111-1-11-111-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3322222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2-2-2-22-2-222220000220000-2-2-2-2000000002-22-20000000000000000000000000000000000000000
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χ3522222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2222-2-2220000220000-2-2-2-200000000-22-220000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-22-2-2-2-222-2-2222-2-2-2-20000-2-200002222000000002-22-20000000000000000000000000000000000000000
χ37222222222222222222-2-222-2-222-2-222-2-222-2-2-2-222-2-222-2-2-22-22-22-22-2-22-22-200002200002200000000-2-2-2-2000000002-22-200000000000000000000000000000000
χ38222222222222222222-2-222-2-222-2-222-2-222-2-2-2-222-2-222-2-2-22-22-22-22-2-22-22-20000-2-20000-2-200000000222200000000-22-2200000000000000000000000000000000
χ39222222222222222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-222-2-222-22-2-22-222-2-2-22-2200002200002200000000-2-2-2-200000000-22-2200000000000000000000000000000000
χ40222222222222222222-2-222-2-2-2-222-2-22222-2-2-2-2-2-222-2-222-22-2-22-222-2-2-22-220000-2-20000-2-2000000002222000000002-22-200000000000000000000000000000000
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χ5622-2-22222222-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-222-2-222-2-22222-2-2-2-22-222-22-22-222-20000-220000-220000000022-2-2000000002-2-2200000000000000000000000000000000
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χ1168-88i−8i000000000000004-4-44-44-44-444-44-4−4i4i−4i4i4i−4i4i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1188-88i−8i00000000000000-444-4-44-444-4-444-44i−4i−4i4i−4i4i−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i00000000000000-44-444-44-4-44-444-4−4i4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8−8i8i000000000000004-44-44-44-44-44-44-4−4i4i−4i4i−4i4i−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i000000000000004-44-44-4-44-44-44-44−4i4i−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i000000000000004-4-44-444-44-4-44-444i−4i4i−4i−4i4i4i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i000000000000004-4-44-44-44-444-44-44i−4i4i−4i−4i4i−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i00000000000000-444-4-444-4-444-4-44−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i00000000000000-444-4-44-444-4-444-4−4i4i4i−4i4i−4i4i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8−8i8i00000000000000-44-444-44-4-44-444-44i−4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i00000000000000-44-444-4-444-44-4-444i−4i−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000

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