Finite Group Databasebeta

← Group #147408

Character table — Group #147408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order1222222222444444448888444444448888888888888816161616161616161616161616161616161616161616161616161616161616162222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1211111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1311111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ1411111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ1511111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1711-1-1111-1-1-11-11-11-11-111-1-1ii−i−iii−i−i11-1-11-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1811-1-1111-1-1-11-11-11-11-111-1-1ii−i−iii−i−i11-1-11-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii
χ1911-1-1111-1-1-11-11-11-11-111-1-1ii−i−iii−i−i11-1-11-1ii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-1i−ii−i-11-11−ii−ii
χ2011-1-1111-1-1-11-11-11-11-111-1-1ii−i−iii−i−i11-1-11-1ii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11−ii−ii1-11-1i−ii−i
χ2111-1-1111-1-1-11-11-11-11-111-1-1−i−iii−i−iii11-1-11-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1-11-1−ii−ii
χ2211-1-1111-1-1-11-11-11-11-111-1-1−i−iii−i−iii11-1-11-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-11-11i−ii−i
χ2311-1-1111-1-1-11-11-11-11-111-1-1−i−iii−i−iii11-1-11-1−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-1−ii−ii-11-11i−ii−i
χ2411-1-1111-1-1-11-11-11-11-111-1-1−i−iii−i−iii11-1-11-1−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11i−ii−i1-11-1−ii−ii
χ2511-1-11-1-111-11-1-111-1-11-1-111ii−i−i−i−iii11-1-1-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11i−i−iii−i−ii-111-1
χ2611-1-11-1-111-11-1-111-1-11-1-111ii−i−i−i−iii11-1-1-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-1−iii−i−iii−i1-1-11
χ2711-1-11-1-111-11-1-111-1-11-1-111ii−i−i−i−iii11-1-1-11ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-11i−i−ii−iii−i1-1-11
χ2811-1-11-1-111-11-1-111-1-11-1-111ii−i−i−i−iii11-1-1-11ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1−iii−ii−i−ii-111-1
χ2911-1-11-1-111-11-1-111-1-11-1-111−i−iiiii−i−i11-1-1-11−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-11−iii−ii−i−ii1-1-11
χ3011-1-11-1-111-11-1-111-1-11-1-111−i−iiiii−i−i11-1-1-11−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1i−i−ii−iii−i-111-1
χ3111-1-11-1-111-11-1-111-1-11-1-111−i−iiiii−i−i11-1-1-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11−iii−i−iii−i-111-1
χ3211-1-11-1-111-11-1-111-1-11-1-111−i−iiiii−i−i11-1-1-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-1i−i−iii−i−ii1-1-11
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χ908-88-800000000000000−4242−42420000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-880000000000000042−42−42420000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800000000000000−424242−420000000000000000000000000000000000000000000000000000000000000000000000

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