Finite Group Databasebeta

← Group #358439

Character table — Group #358439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111112222222244444444444444444444444488888888888888881111111111111111222222224444444444444444444444448888888888888888
order12222222444444442222444444444444888888888888888888888888888888882222222244444444222244444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
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χ7411111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i
χ7511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i
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χ7711111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ7811111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ7911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii
χ8011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i
χ812222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-22200000000000000000000000000000000
χ822222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-200000000000000000000000000000000
χ8322222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22200000000000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-22222-2-200000000000000000000000000000000
χ8422222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-2-2-22200000000000000000000000000000000
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χ10522-2-22-2-22−2i−2i2i2i2i−2i2i−2i000000002i−2i00-2200i2−i2−i2i2−222−22−2−22−i2i2i2−i20000000000000000-2-222-222-22i2i−2i−2i−2i2i−2i2i00000000−2i2i002-200−i2i2i2−i22−2−22−222−2i2−i2−i2i20000000000000000
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χ1092-2-2222-2-22-22-222-2-22-22-222-2-20000000000000000000000002-22-2000000000000-222-2-2-222-22-22-2-222-22-22-2-222000000000000000000000000-22-22000000000000
χ1102-2-2222-2-22-22-222-2-22-22-222-2-2000000000000000000000000-22-22000000000000-222-2-2-222-22-22-2-222-22-22-2-2220000000000000000000000002-22-2000000000000
χ1112-2-2222-2-22-22-222-2-2-22-22-2-22200000000000000000000000000002i−2i2i−2i00000000-222-2-2-222-22-22-2-2222-22-222-2-20000000000000000000000000000−2i2i−2i2i00000000
χ1122-2-2222-2-22-22-222-2-2-22-22-2-2220000000000000000000000000000−2i2i−2i2i00000000-222-2-2-222-22-22-2-2222-22-222-2-200000000000000000000000000002i−2i2i−2i00000000
χ1132-2-2222-2-2-22-22-2-2222-22-2-2-22200000000000000000000000000002-2-2200000000-222-2-2-2222-22-222-2-2-22-2222-2-20000000000000000000000000000-222-200000000
χ1142-2-2222-2-2-22-22-2-2222-22-2-2-2220000000000000000000000000000-222-200000000-222-2-2-2222-22-222-2-2-22-2222-2-200000000000000000000000000002-2-2200000000
χ1152-2-2222-2-2-22-22-2-222-22-2222-2-20000000000000000000000002i−2i−2i2i000000000000-222-2-2-2222-22-222-2-22-22-2-2-222000000000000000000000000−2i2i2i−2i000000000000
χ1162-2-2222-2-2-22-22-2-222-22-2222-2-2000000000000000000000000−2i2i2i−2i000000000000-222-2-2-2222-22-222-2-22-22-2-2-2220000000000000000000000002i−2i−2i2i000000000000
χ1172-2-2-2-22222-22-2-2-2222-2-222-2-220000000000000000000000000000000000002-22-2-22222-2-2-2-22-2222-2-2-222-2-222-2000000000000000000000000000000000000-22-22
χ1182-2-2-2-22222-22-2-2-2222-2-222-2-22000000000000000000000000000000000000-22-22-22222-2-2-2-22-2222-2-2-222-2-222-20000000000000000000000000000000000002-22-2
χ1192-2-2-2-22222-22-2-2-222-222-2-222-2000000000000000000000000000000002-22-20000-22222-2-2-2-22-2222-2-22-2-222-2-2200000000000000000000000000000000-22-220000
χ1202-2-2-2-22222-22-2-2-222-222-2-222-200000000000000000000000000000000-22-220000-22222-2-2-2-22-2222-2-22-2-222-2-22000000000000000000000000000000002-22-20000
χ1212-2-2-2-2222-22-2222-2-22-2-22-222-2000000000000000000000000000000002i−2i−2i2i0000-22222-2-2-22-22-2-2-222-222-22-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ1222-2-2-2-2222-22-2222-2-22-2-22-222-200000000000000000000000000000000−2i2i2i−2i0000-22222-2-2-22-22-2-2-222-222-22-2-22000000000000000000000000000000002i−2i−2i2i0000
χ1232-2-2-2-2222-22-2222-2-2-222-22-2-220000000000000000000000000000000000002i−2i−2i2i-22222-2-2-22-22-2-2-2222-2-22-222-2000000000000000000000000000000000000−2i2i2i−2i
χ1242-2-2-2-2222-22-2222-2-2-222-22-2-22000000000000000000000000000000000000−2i2i2i−2i-22222-2-2-22-22-2-2-2222-2-22-222-20000000000000000000000000000000000002i−2i−2i2i
χ1254-444-4-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000-44-4-4444-4−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000
χ1264-444-4-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000-44-4-4444-44i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000
χ1274-44-44-44-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000-44-44-44-44−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000
χ1284-44-44-44-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000-44-44-44-444i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000

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