Finite Group Databasebeta

← Group #609798

Character table — Group #609798

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111111111111111111111111111444444444444444444444444444444444444444444444444888888888888888888888888888888888888
order12222222222222224444444444444444444444444444444444444444444444444444444444444444224444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-1-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111
χ3322222-2-22-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002-22-200000000
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χ732-22-222-2-2-22-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000002-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000000000000000000000000000002i−2i2-20000
χ742-22-222-2-2-22-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000002-22-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000000000000000000000000000000000−2i2i-220000
χ752-22-222-2-2-22-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000-22-22−2i2i−2i2i2i−2i2i−2i2-22-20000000000000000000000000000000000000000000000000000−2i2i-220000
χ762-22-222-2-2-22-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000-22-22−2i2i−2i2i−2i2i−2i2i-22-2200000000000000000000000000000000000000000000000000002i−2i2-20000
χ772-22-222-2-2-22-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000002-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000000000000000000000000000000000000000000000002i−2i-220000
χ782-22-222-2-2-22-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000002-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000000000000000000000000000−2i2i2-20000
χ792-22-222-2-2-22-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000-22-222i−2i2i−2i2i−2i2i−2i-22-220000000000000000000000000000000000000000000000000000−2i2i2-20000
χ802-22-222-2-2-22-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000-22-222i−2i2i−2i−2i2i−2i2i2-22-200000000000000000000000000000000000000000000000000002i−2i-220000
χ812-22-22-22-22-22-22-22-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i000000002-22-22i−2i2i−2i000000000000002-22i−2i00000000000000000000000000
χ822-22-22-22-22-22-22-22-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i00000000-22-22−2i2i−2i2i00000000000000-22−2i2i00000000000000000000000000
χ832-22-22-22-22-22-22-22-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000-222-22i−2i−2i2i000000002-22-22i−2i2i−2i00000000000000-22−2i2i00000000000000000000000000
χ842-22-22-22-22-22-22-22-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000-222-22i−2i−2i2i00000000-22-22−2i2i−2i2i000000000000002-22i−2i00000000000000000000000000
χ852-22-22-22-22-22-22-22-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000002-2-222i−2i−2i2i000000002-22-2−2i2i−2i2i000000000000002-2−2i2i00000000000000000000000000
χ862-22-22-22-22-22-22-22-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000002-2-222i−2i−2i2i00000000-22-222i−2i2i−2i00000000000000-222i−2i00000000000000000000000000
χ872-22-22-22-22-22-22-22-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000-222-2−2i2i2i−2i000000002-22-2−2i2i−2i2i00000000000000-222i−2i00000000000000000000000000
χ882-22-22-22-22-22-22-22-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000-222-2−2i2i2i−2i00000000-22-222i−2i2i−2i000000000000002-2−2i2i00000000000000000000000000
χ892-2-222-2-22-222-222-2-22-22-2-22-22-22-222-22-2000000002-2-222-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000002i−2i2i−2i
χ902-2-222-2-22-222-222-2-22-22-2-22-22-22-222-22-2000000002-2-222-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000−2i2i−2i2i
χ912-2-222-2-22-222-222-2-22-22-2-22-22-22-222-22-200000000-222-2-222-20000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000−2i2i−2i2i
χ922-2-222-2-22-222-222-2-22-22-2-22-22-22-222-22-200000000-222-2-222-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000002i−2i2i−2i
χ932-2-222-2-22-222-222-2-2-22-222-22-22-22-2-22-22000000002-2-22-222-20000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002i−2i−2i2i
χ942-2-222-2-22-222-222-2-2-22-222-22-22-22-2-22-22000000002-2-22-222-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i
χ952-2-222-2-22-222-222-2-2-22-222-22-22-22-2-22-2200000000-222-22-2-220000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000−2i2i2i−2i
χ962-2-222-2-22-222-222-2-2-22-222-22-22-22-2-22-2200000000-222-22-2-22000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000002i−2i−2i2i
χ972-2-2-2-2-2-222-2-2222222-2-222-2-222-2-222-2-220000000000000000000000002-2-222-2-222-2-222-2-22000000002-20000000000002-200000000000000000000
χ982-2-2-2-2-2-222-2-2222222-2-222-2-222-2-222-2-220000000000000000000000002-2-222-2-22-222-2-222-200000000-22000000000000-2200000000000000000000
χ992-2-2-2-2-2-222-2-2222222-2-222-2-222-2-222-2-22000000000000000000000000-222-2-222-22-2-222-2-2200000000-22000000000000-2200000000000000000000
χ1002-2-2-2-2-2-222-2-2222222-2-222-2-222-2-222-2-22000000000000000000000000-222-2-222-2-222-2-222-2000000002-20000000000002-200000000000000000000
χ1012-2-2-2-2-2-222-2-222222-222-2-222-2-222-2-222-20000000000000000000000002-2-22-222-22-2-22-222-2000000002-2000000000000-2200000000000000000000
χ1022-2-2-2-2-2-222-2-222222-222-2-222-2-222-2-222-20000000000000000000000002-2-22-222-2-222-22-2-2200000000-220000000000002-200000000000000000000
χ1032-2-2-2-2-2-222-2-222222-222-2-222-2-222-2-222-2000000000000000000000000-222-22-2-222-2-22-222-200000000-220000000000002-200000000000000000000
χ1042-2-2-2-2-2-222-2-222222-222-2-222-2-222-2-222-2000000000000000000000000-222-22-2-22-222-22-2-22000000002-2000000000000-2200000000000000000000
χ105444-4-4444-4-4-4-444-4-444-4-4-4-444-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ106444-4-4444-4-4-4-444-4-4-4-44444-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ107444-4-4-4-444444-4-4-4-444-4-4-4-44444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ108444-4-4-4-444444-4-4-4-4-4-44444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10944-44-4-44-4-4-444-444-44i4i4i4i−4i−4i−4i−4i−4i−4i−4i−4i4i4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-44-4-44-4-4-444-444-4−4i−4i−4i−4i4i4i4i4i4i4i4i4i−4i−4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11144-4-444-4-4-4-4444-4-444i4i−4i−4i4i4i−4i−4i−4i−4i4i4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11244-4-444-4-4-4-4444-4-44−4i−4i4i4i−4i−4i4i4i4i4i−4i−4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444444-4-44-4-4-4-44-44-4-44-444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444444-4-44-4-4-4-4-44-444-44-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-444-4-4-4444-4-444-4-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-444-4-4-444-444-4-444-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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