Finite Group Databasebeta

← Group #207654

Character table — Group #207654

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444444444444444444444444444422444444444488888888888888888888888888888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-1-111i−ii−i−ii−ii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111-1-1−ii−iii−ii−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-1-111−ii−iii−ii−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-1i−ii−i−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1−iii−i−iii−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1i−i−iii−i−ii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1i−i−ii−iii−i
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111−iii−ii−i−ii
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111i−i−ii−iii−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ4122-2-222-2-222-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i22-2-20000000022-2-200002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2000000000000000000000000
χ4222-2-222-2-222-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i22-2-20000000022-2-200002i−2i2i−2i000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222000000000000000000000000
χ4322-2-222-2-222-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i-2-22200000000-2-2220000−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-200000000000000000000000000000000
χ4422-2-222-2-222-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i-2-22200000000-2-2220000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-22200000000000000000000000000000000
χ4522-2-222-2-222-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i22-2-20000000022-2-20000−2i2i−2i2i0000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-222000000000000000000000000
χ4622-2-222-2-222-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i22-2-20000000022-2-20000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2000000000000000000000000
χ4722-2-222-2-222-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i-2-22200000000-2-22200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-22200000000000000000000000000000000
χ4822-2-222-2-222-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i-2-22200000000-2-22200002i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-200000000000000000000000000000000
χ4922-2-222-2-2-2-222-2-222000000002i2i−2i−2i−2i−2i2i2i22-2-200000000-2-22200002i−2i−2i2i00000000000022-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5022-2-222-2-2-2-222-2-222000000002i2i−2i−2i−2i−2i2i2i22-2-200000000-2-22200002i−2i−2i2i000000000000-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5122-2-222-2-2-2-222-2-222000000002i2i−2i−2i−2i−2i2i2i-2-2220000000022-2-20000−2i2i2i−2i000022-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5222-2-222-2-2-2-222-2-222000000002i2i−2i−2i−2i−2i2i2i-2-2220000000022-2-20000−2i2i2i−2i0000-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5322-2-222-2-2-2-222-2-22200000000−2i−2i2i2i2i2i−2i−2i22-2-200000000-2-2220000−2i2i2i−2i00000000000022-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5422-2-222-2-2-2-222-2-22200000000−2i−2i2i2i2i2i−2i−2i22-2-200000000-2-2220000−2i2i2i−2i000000000000-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5522-2-222-2-2-2-222-2-22200000000−2i−2i2i2i2i2i−2i−2i-2-2220000000022-2-200002i−2i−2i2i000022-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5622-2-222-2-2-2-222-2-22200000000−2i−2i2i2i2i2i−2i−2i-2-2220000000022-2-200002i−2i−2i2i0000-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ572-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i00002i2i−2i−2i22-2-20000000000002i−2i2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ582-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i00002i2i−2i−2i22-2-20000000000002i−2i2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ592-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i0000−2i−2i2i2i-2-222000000000000−2i2i-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ602-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i0000−2i−2i2i2i-2-222000000000000−2i2i-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ612-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i00002i2i−2i−2i22-2-2000000000000−2i2i-221+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ622-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i00002i2i−2i−2i22-2-2000000000000−2i2i-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ632-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i0000−2i−2i2i2i-2-2220000000000002i−2i2-21+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ642-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i0000−2i−2i2i2i-2-2220000000000002i−2i2-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
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χ1064444-4-4-4-444-4-4-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1134-44-4-44-444i−4i−4i4i−4i4i4i−4i00000000000000004-4-44000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1144-44-4-44-444i−4i−4i4i−4i4i4i−4i0000000000000000-444-400000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-4-44-44−4i4i4i−4i4i−4i−4i4i00000000000000004-4-4400000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-4-44-44−4i4i4i−4i4i−4i−4i4i0000000000000000-444-4000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000

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