Finite Group Databasebeta

← Group #72266110

Character table — Group #72266110

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222222222224444444444444444444444888888888888888888888888161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111
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χ1011111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
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χ912222-2-2-2-222-2-22222-2-2-2-2-2-22-2-2222-22222-2-22-2-2-22-222-2-2-22222-2-200000000000000002-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ922222-2-2-2-222-2-22222-2-2-2-2-2-22-2-2222-22222-2-22-2-2-22-222-2-2-22222-2-200000000000000002-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ934444444444-4-4-4-4-4-4-4-44444-4-4-4-444444-4-444-4-4-4-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944444444444-4-4-4-4-4-4-4-44444-4-4-4-444-4-4-444-4-4444444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ95444444-4-4-4-4-4-4-4-444-4-4-4-444444-4-4444-444-4-4-4-444-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ96444444-4-4-4-4-4-4-4-444-4-4-4-444444-4-44-4-44-4-44444-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974444-4-444-4-4-4-444-4-4-4-444-4-4-4444-444-4444-4-4-44-4-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984444-4-444-4-4-4-444-4-4-4-444-4-4-4444-44-44-4-4-4444-4444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994444-4-4-4-44444-4-444-4-44444-44-44-4-44-4-44-4-444-4-44-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004444-4-4-4-44444-4-444-4-44444-44-44-4-4-444-444-4-444-44-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014444-4-4-4-44444-4-4-4-444-4-4-4-4-444-4444-4-444444-4-4-44-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024444-4-4-4-44444-4-4-4-444-4-4-4-4-444-444-444-4-4-4-4-4444-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034444-4-4-4-444-4-444-4-44444444-44-4-4-44-4-4-44-44-444-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044444-4-4-4-444-4-444-4-44444444-44-4-4-4-4444-44-44-4-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800008-8000000008-88-800000000000000000000004-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800008-8000000008-88-80000000000000000000000-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800008-800000000-88-8800000000000000000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-800008-800000000-88-880000000000000000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-80000-88000000008-8-8800000000000000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-80000-88000000008-8-880000000000000000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-80000-8800000000-888-800000000000000000000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-80000-8800000000-888-80000000000000000000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8008-80000008-88-800000000000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8008-80000008-88-80000000000000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8008-8000000-88-8800000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8008-8000000-88-880000000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-880000008-8-88000000000000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-880000008-8-8800000000000000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800-88000000-888-80000000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-88000000-888-8000000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-888-800008-88-800000000000000000000000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-800008-88-80000000000000000000000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000
χ1238-8-888-80000-88-880000000000000000000000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000
χ1248-8-888-80000-88-88000000000000000000000000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-8800008-8-8800000000000000000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-8800008-8-880000000000000000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-880000-888-8000000000000000000000000000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-880000-888-800000000000000000000000000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000

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