Finite Group Databasebeta

← Group #10943823

Character table — Group #10943823

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order122222222222222222223444466666666666666666666666666666664444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222222-2-2-2-22222222222222222222222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000
χ2022222222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000
χ2122222222222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000
χ22222222222222-2-2-2-2-2-2-2-22-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222220000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-122-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000
χ24222222222222-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-122-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ25222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-2-22222000000000000000011111111-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000
χ26222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-2-22222000000000000000011111111-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000
χ2722222222-2-2-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2-12222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-2-222-2-22222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000
χ2922222222-2-2-2-22222-2-2-2-2-12222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-2-222-2-2-2-2-2-22222-2-2-2-22222-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000
χ3022222222-2-2-2-22222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-122-2-22200000000000000001111-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ3122222222-2-2-2-22222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-122-2-22200000000000000001111-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ3222222222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-2-20000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-22222-12222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000
χ3422222222-2-2-2-2-2-2-2-22222-12222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000
χ3522222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-12222-2-200000000000000001111-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ3622222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-12222-2-200000000000000001111-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ3722-2-22-2-220000000022-2-2222-2-222-2-2-2-200000000000000002222-2-2-2-2200002-2000022-2-222-2-2000022-2-20000000022-2-20000000022-2-222-2-222-2-222-2-200000000000000000000
χ3822-2-22-2-220000000022-2-2222-2-222-2-2-2-200000000000000002222-2-2-2-2200002-20000-2-222-2-222000022-2-20000000022-2-200000000-2-222-2-222-2-222-2-22200000000000000000000
χ3922-2-22-2-220000000022-2-22-2-22222-2-2-2-200000000000000002222-2-2-2-220000-2222-2-20000000022-2-2-2-22200000000-2-22222-2-222-2-2000000000000000022-2-222-2-2000000000000
χ4022-2-22-2-220000000022-2-22-2-22222-2-2-2-200000000000000002222-2-2-2-220000-22-2-22200000000-2-222-2-22200000000-2-222-2-222-2-2220000000000000000-2-222-2-222000000000000
χ4122-2-22-2-220000000022-2-2-122-2-2-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-100002-2000022-2-222-2-20000-1-111−i3−i3i3i3−i3−i3i3i3-1-111−i3−i3i3i3i3i3−i3−i3-1-111-1-111-1-111-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ4222-2-22-2-220000000022-2-2-122-2-2-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-100002-20000-2-222-2-2220000-1-111−i3−i3i3i3−i3−i3i3i3-1-111i3i3−i3−i3−i3−i3i3i311-1-111-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ4322-2-22-2-220000000022-2-2-122-2-2-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-100002-2000022-2-222-2-20000-1-111i3i3−i3−i3i3i3−i3−i3-1-111i3i3−i3−i3−i3−i3i3i3-1-111-1-111-1-111-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ4422-2-22-2-220000000022-2-2-122-2-2-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-100002-20000-2-222-2-2220000-1-111i3i3−i3−i3i3i3−i3−i3-1-111−i3−i3i3i3i3i3−i3−i311-1-111-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ4522-2-22-2-220000000022-2-2-1-2-222-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-10000-2222-2-20000000022-2-211-1-1i3i3−i3−i3i3i3−i3−i311-1-1-1-111-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-111-1-111000000000000
χ4622-2-22-2-220000000022-2-2-1-2-222-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-10000-22-2-22200000000-2-22211-1-1i3i3−i3−i3i3i3−i3−i311-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i311-1-111-1-1000000000000
χ4722-2-22-2-220000000022-2-2-1-2-222-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-10000-2222-2-20000000022-2-211-1-1−i3−i3i3i3−i3−i3i3i311-1-1-1-111-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-111-1-111000000000000
χ4822-2-22-2-220000000022-2-2-1-2-222-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-10000-22-2-22200000000-2-22211-1-1−i3−i3i3i3−i3−i3i3i311-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i311-1-111-1-1000000000000
χ4922-2-22-2-2200000000-2-222222-2-222-2-2-2-20000000000000000-2-2-2-2222220000-22000022-2-2-2-222000022-2-200000000-2-2220000000022-2-222-2-2-2-222-2-22200000000000000000000
χ5022-2-22-2-2200000000-2-222222-2-222-2-2-2-20000000000000000-2-2-2-2222220000-220000-2-22222-2-2000022-2-200000000-2-22200000000-2-222-2-22222-2-222-2-200000000000000000000
χ5122-2-22-2-2200000000-2-2222-2-22222-2-2-2-20000000000000000-2-2-2-22222200002-222-2-200000000-2-222-2-2220000000022-2-222-2-222-2-20000000000000000-2-222-2-222000000000000
χ5222-2-22-2-2200000000-2-2222-2-22222-2-2-2-20000000000000000-2-2-2-22222200002-2-2-2220000000022-2-2-2-2220000000022-2-2-2-222-2-222000000000000000022-2-222-2-2000000000000
χ5322-2-22-2-2200000000-2-222-122-2-2-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i31111-1-1-1-1-10000-22000022-2-2-2-2220000-1-111−i3−i3i3i3i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-1-111-1-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000000000
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χ1122-2-2-2222-22-22-2-22-22-22-22200002-22-22-22-22-22-22-2-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
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χ12744-44-44-4-40000-444-40000-200002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i32-2-222-2-222i3−2i3−2i32i32i3−2i3−2i32i320000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1334-4444-4-4-400000000-444-4-20000-222-22-2−2i32i3−2i32i32i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i32-22-2-22-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4444-4-4-400000000-444-4-20000-222-22-22i3−2i32i3−2i3−2i32i3−2i32i3−2i32i3−2i32i32i3−2i32i3−2i32-22-2-22-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4444-44-44-44-44-44-44-4-20000-22-22-22-22-22-22-22-22-22-22-22-22-22-22-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4444-44-44-4-44-44-44-44-20000-22-22-22-22-22-22-222-22-22-22-22-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1384-4-4-4444-4-44-44-44-444-44-4-20000-22-22-222-22-22-22-22-22-22-22-2-22-22-22-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000

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