Finite Group Databasebeta

← Group #10729030

Character table — Group #10729030

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order122222222222222222222222366666666666666666666666666666664444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ17222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ19222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ20222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-12222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-12222-2-2-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ242222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-2-2-2-22222-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ25222222-2-22-2-2-2-2-22-22222-2-2-2-2222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000
χ26222222-2-22-2-2-2-2-22-22222-2-2-2-2222222-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000
χ27222222-2-22-2-2-2-2-22-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-20000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000
χ28222222-2-22-2-2-2-2-22-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ292222-2-22-2-222-2-2-2-22000000002222-2-2222-2-2-2-20000000000000000-2-2200002i2i−2i−2i000022-2-22i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i000000002222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ302222-2-22-2-222-2-2-2-22000000002222-2-2222-2-2-2-20000000000000000-2-2200002i2i−2i−2i0000-2-222−2i−2i2i2i0000000000002i2i2i2i−2i−2i−2i−2i00000000-2-2-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ312222-2-22-2-222-2-2-2-22000000002222-2-2222-2-2-2-20000000000000000-2-220000−2i−2i2i2i000022-2-2−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i000000002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ322222-2-22-2-222-2-2-2-22000000002222-2-2222-2-2-2-20000000000000000-2-220000−2i−2i2i2i0000-2-2222i2i−2i−2i000000000000−2i−2i−2i−2i2i2i2i2i00000000-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ332222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311-100002i2i−2i−2i000022-2-22i2i−2i−2i00003333−3−3−3−3−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i−i−i−iiiii3333−3−3−3−30000000000000000
χ342222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311-100002i2i−2i−2i0000-2-222−2i−2i2i2i00003333−3−3−3−3−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i31111-1-1-1-1iiii−i−i−i−i−3−3−3−333330000000000000000
χ352222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311-10000−2i−2i2i2i000022-2-2−2i−2i2i2i0000−3−3−3−33333iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3-1-1-1-11111iiii−i−i−i−i−3−3−3−333330000000000000000
χ362222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311-10000−2i−2i2i2i0000-2-2222i2i−2i−2i0000−3−3−3−33333iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i−i−i−iiiii3333−3−3−3−30000000000000000
χ372222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311-100002i2i−2i−2i000022-2-22i2i−2i−2i0000−3−3−3−33333−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3-1-1-1-11111−i−i−i−iiiii−3−3−3−333330000000000000000
χ382222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311-100002i2i−2i−2i0000-2-222−2i−2i2i2i0000−3−3−3−33333−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i31111-1-1-1-1iiii−i−i−i−i3333−3−3−3−30000000000000000
χ392222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311-10000−2i−2i2i2i000022-2-2−2i−2i2i2i00003333−3−3−3−3iiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3-1-1-1-11111iiii−i−i−i−i3333−3−3−3−30000000000000000
χ402222-2-22-2-222-2-2-2-2200000000-1-1-1-111-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311-10000−2i−2i2i2i0000-2-2222i2i−2i−2i00003333−3−3−3−3iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i31111-1-1-1-1−i−i−i−iiiii−3−3−3−333330000000000000000
χ4122-2-2222-2-2-2-222-2-220000000022-2-2222-2-222-2-20000000000000000-2-222i2i−2i−2i000022-2-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4222-2-2222-2-2-2-222-2-220000000022-2-2222-2-222-2-20000000000000000-2-222i2i−2i−2i0000-2-2220000−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4322-2-2222-2-2-2-222-2-220000000022-2-2222-2-222-2-20000000000000000-2-22−2i−2i2i2i000022-2-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4422-2-2222-2-2-2-222-2-220000000022-2-2222-2-222-2-20000000000000000-2-22−2i−2i2i2i0000-2-22200002i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4522-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311-12i2i−2i−2i000022-2-200002i−2i2i−2i0000−i−iii−i−iii33−3−333−3−3-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii33−3−333−3−30000000000000000
χ4622-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311-12i2i−2i−2i0000-2-2220000−2i2i−2i2i0000−i−iii−i−iii33−3−333−3−311-1-111-1-1i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i−3−333−3−3330000000000000000
χ4722-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311-1−2i−2i2i2i000022-2-20000−2i2i−2i2i0000ii−i−iii−i−i−3−333−3−333-1-111-1-111−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−3−333−3−3330000000000000000
χ4822-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311-1−2i−2i2i2i0000-2-22200002i−2i2i−2i0000ii−i−iii−i−i−3−333−3−33311-1-111-1-1i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii33−3−333−3−30000000000000000
χ4922-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311-12i2i−2i−2i000022-2-200002i−2i2i−2i0000−i−iii−i−iii−3−333−3−333-1-111-1-111i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−3−333−3−3330000000000000000
χ5022-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311-12i2i−2i−2i0000-2-2220000−2i2i−2i2i0000−i−iii−i−iii−3−333−3−33311-1-111-1-1−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i33−3−333−3−30000000000000000
χ5122-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311-1−2i−2i2i2i000022-2-20000−2i2i−2i2i0000ii−i−iii−i−i33−3−333−3−3-1-111-1-111i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i33−3−333−3−30000000000000000
χ5222-2-2222-2-2-2-222-2-2200000000-1-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311-1−2i−2i2i2i0000-2-22200002i−2i2i−2i0000ii−i−iii−i−i33−3−333−3−311-1-111-1-1−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii−3−333−3−3330000000000000000
χ5322-2-2-2-2222-2-2-2-222222-2-222-2-222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22222200000000000000002-2-2222-2-20000000000000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
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Here i is the imaginary unit (i² = −1).