Finite Group Databasebeta

← Group #10822

Character table — Group #10822

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111222222222222222222222222222222222222222222222222222222228888888888888888
order1222222244444444222244444444444444444444888888888888888888888888888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111-1-11-1-11111-1-1-1-111-1-11-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1-11-1i−ii−i
χ18111-1-11-1-11111-1-1-1-111-1-11-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii
χ19111-1-11-1-11111-1-1-1-111-1-11-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-1i−ii−i-11-11−ii−ii
χ20111-1-11-1-11111-1-1-1-111-1-11-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11−ii−ii1-11-1i−ii−i
χ21111-1-11-1-11111-1-1-1-111-1-11-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1-11-1−ii−ii
χ22111-1-11-1-11111-1-1-1-111-1-11-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-11-11i−ii−i
χ23111-1-11-1-11111-1-1-1-111-1-11-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-1−ii−ii-11-11i−ii−i
χ24111-1-11-1-11111-1-1-1-111-1-11-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11i−ii−i1-11-1−ii−ii
χ25111-1-11-1-1-1-1-1-11111-1-1111-1iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1i−i−ii-111-1
χ26111-1-11-1-1-1-1-1-11111-1-1111-1iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-11−iii−i1-1-11
χ27111-1-11-1-1-1-1-1-11111-1-1111-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1−iii−i1-1-11
χ28111-1-11-1-1-1-1-1-11111-1-1111-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11i−i−ii-111-1
χ29111-1-11-1-1-1-1-1-11111-1-1111-1−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-11i−i−ii1-1-11
χ30111-1-11-1-1-1-1-1-11111-1-1111-1−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1−iii−i-111-1
χ31111-1-11-1-1-1-1-1-11111-1-1111-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11−iii−i-111-1
χ32111-1-11-1-1-1-1-1-11111-1-1111-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1i−i−ii1-1-11
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χ3522222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-222-2-2-2-2000000000000000000000000000000000000000000000000
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χ852-2-2-2-2222-222-22-2-222-2-22-2-200000000000000002200000000000000002-2-22-222-22-2-22-222-20000000000000000
χ862-2-2-2-2222-222-22-2-222-2-22-2-20000000000000000220000000000000000-222-22-2-22-222-22-2-220000000000000000
χ872-2-2-2-2222-222-22-2-22-222-2220000000000000000-2-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ882-2-2-2-2222-222-22-2-22-222-2220000000000000000-2-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000

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