Finite Group Databasebeta

← Group #6432233

Character table — Group #6432233

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444888888884444444444444444444488882222222222224444444488888888444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111
χ911111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-11111-1-11-1-1-111-1-11-111-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-11111-1-11-1-1-111-1-11-111-1-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111-1-111-11-1-1-1-111-11-1-11111111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111-1-111-11-1-1-1-111-11-1-111
χ1111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-11-1-11111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-11-1-111
χ1211111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111-111-1-1111-111-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111-111-1-1111-111-1-1
χ1311111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1111-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1111-1-1
χ1411111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-11111-1-11-1-1-11111111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-11111-1-11-1-1-111
χ1511111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1111111-1-11-1-1-1-1-1111-1-1-11111111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1111111-1-11-1-1-1-1-1111-1-1-111
χ1611111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-111-11-1-111-1-1-1111-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-111-11-1-111-1-1-1111-1-1
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χ1922222222-2-2-2-2-2-2-22222-200000000000000000022000000-2-2000022222222-2-2-2-2-2-2-22222-200000000000000000022000000-2-20000
χ2022222222-2-2-2-2-2-2-22222-2000000000000000000-2-200000022000022222222-2-2-2-2-2-2-22222-2000000000000000000-2-2000000220000
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χ432-22-2-2-222-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-22-2-2-222-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
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χ504-4-44-44-44000000000000−222222−2200000000000000000000000000004-4-44-44-44000000000000−222222−220000000000000000000000000000
χ514-4-4-4444-400000000000000002i2−2i2−2i22i20000000000000000000000004-4-4-4444-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-4-4444-40000000000000000−2i22i22i2−2i20000000000000000000000004-4-4-4444-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111
χ551111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-11111-1-11-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-11111-1-111-1-1-1-111-1111-1-111-11-1-111
χ6211111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111-1-111-11-1-1-1-111-11-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-11111-1-111-1-111-1-11-11111-1-11-111-1-1
χ6311111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111-1-111-1-1111-1-1-1-1-1111-111-1-1
χ6411111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111-111-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111-1-11111-1-1-11-1-111-1-1-11-1-111
χ6511111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-11111-1-1-1-1-1-11111-1-1111-1-1-111-1-11-1-1-111
χ6611111111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-11111-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-11111-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1111-1-1
χ6711111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1111111-1-11-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-11111-1-1-1-111-1-1-1-1-1-111-111111-1-1-1111-1-1
χ6811111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-111-11-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-11111-1-1-1-111-1-1-1-111-1-11-111-1-1111-1-1-111
χ69222222222222-2-2-2-2-2-2-2-20000000000000000002-2000000-220000-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000-220000002-20000
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χ1024-4-44-44-44000000000000−222222−220000000000000000000000000000-444-44-44-400000000000022−22−22220000000000000000000000000000
χ1034-4-4-4444-400000000000000002i2−2i2−2i22i2000000000000000000000000-4444-4-4-440000000000000000−2i22i22i2−2i2000000000000000000000000
χ1044-4-4-4444-40000000000000000−2i22i22i2−2i2000000000000000000000000-4444-4-4-4400000000000000002i2−2i2−2i22i2000000000000000000000000

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