Finite Group Databasebeta

← Group #10967644

Character table — Group #10967644

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order1222222244444444344444444666666612121212121212122244444444444444121212121212121212121212121212121212121212121212444444444444661212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1711111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ1811111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-11
χ1911111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-11-11
χ2011111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-11-1
χ2111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-11
χ2211111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-11-1
χ2311111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ2411111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-11-11
χ2511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-111-1
χ2611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11
χ2711111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ2811111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-111-1
χ2911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-11
χ3011111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-111-1
χ3111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1
χ3211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ332222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000-2-222-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000022-2-21111-1-1-1-11111-1-1-1-1000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000002-22-2-1-111-1-111-1-111-1-111000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000-22-22-1-111-1-11111-1-111-1-1000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-22222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000-22-2211-1-111-1-111-1-111-1-1000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1000000002-22-211-1-111-1-1-1-111-1-111000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-222-2-1-11111-1-1-1-11111-1-1000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111000000002-2-22-1-11111-1-111-1-1-1-111000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1000000002-2-2211-1-1-1-11111-1-1-1-111000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000-222-211-1-1-1-111-1-11111-1-1000000000000000000000000
χ4922-2-2-2-2222222-2-2-2-222i2i−2i−2i2i2i−2i−2i222-2-2-2-22222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-2000000000000000000002i−2i2i−2i00000000000000000000
χ5022-2-2-2-2222222-2-2-2-222i2i−2i−2i2i2i−2i−2i222-2-2-2-22222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-22200000000000000000000−2i2i−2i2i00000000000000000000
χ5122-2-2-2-2222222-2-2-2-22−2i−2i2i2i−2i−2i2i2i222-2-2-2-22222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-200000000000000000000−2i2i−2i2i00000000000000000000
χ5222-2-2-2-2222222-2-2-2-22−2i−2i2i2i−2i−2i2i2i222-2-2-2-22222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000-2-222-2-222000000000000000000002i−2i2i−2i00000000000000000000
χ5322-2-2-2-222-2-2-2-2222222i2i−2i−2i−2i−2i2i2i222-2-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000022-2-2-2-222000000000000000000002i−2i−2i2i00000000000000000000
χ5422-2-2-2-222-2-2-2-2222222i2i−2i−2i−2i−2i2i2i222-2-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000-2-22222-2-200000000000000000000−2i2i2i−2i00000000000000000000
χ5522-2-2-2-222-2-2-2-222222−2i−2i2i2i2i2i−2i−2i222-2-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000022-2-2-2-22200000000000000000000−2i2i2i−2i00000000000000000000
χ5622-2-2-2-222-2-2-2-222222−2i−2i2i2i2i2i−2i−2i222-2-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000-2-22222-2-2000000000000000000002i−2i−2i2i00000000000000000000
χ572-222-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000002-22i−2i000000000000000022-2-22i2i−2i−2i2-22-22i−2i2i−2i0000000000000000000000000000000000002-22i−2i0000
χ582-222-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000002-22i−2i000000000000000022-2-22i2i−2i−2i-22-22−2i2i−2i2i000000000000000000000000000000000000-22−2i2i0000
χ592-222-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000-22−2i2i0000000000000000-2-222−2i−2i2i2i2-22-22i−2i2i−2i000000000000000000000000000000000000-22−2i2i0000
χ602-222-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000-22−2i2i0000000000000000-2-222−2i−2i2i2i-22-22−2i2i−2i2i0000000000000000000000000000000000002-22i−2i0000
χ612-222-2-22-2−2i−2i2i2i−2i−2i2i2i2000000002-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000002-2−2i2i000000000000000022-2-2−2i−2i2i2i2-22-2−2i2i−2i2i0000000000000000000000000000000000002-2−2i2i0000
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χ106444-4-44-4-44-4-444-4-44-20000000022-2-222-2-222-2-222-200000000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000000000000000
χ107444-4-44-4-44-4-444-4-44-20000000022-2-222-2-222-2-222-2000000000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000000000000000
χ108444-4-44-4-4-444-4-444-4400000000-4-444-4-44-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ109444-4-44-4-4-444-4-444-4-20000000022-2-222-22-2-222-2-2200000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000000000000000
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χ11144-444-4-4-44-4-44-444-4400000000-4-44-444-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).