Finite Group Databasebeta

← Group #414487

Character table — Group #414487

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222224444444488888888888888884444444444444444444444448888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
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χ202222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000
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χ802-2-222-222-2-2-22-222-2-222-2-222-2-222-2-222-2-222-2-222-200000000−2i2i2i−2i000000002i−2i2i−2i0000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ812-2-22-22-22-2-22-222-22-22-2222-2-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000002i−2i00002-2
χ822-2-22-22-22-2-22-222-22-22-2222-2-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000−2i2i0000-22
χ832-2-22-22-22-2-22-222-22-22-2222-2-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000002i−2i0000-22
χ842-2-22-22-22-2-22-222-22-22-2222-2-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000−2i2i00002-2
χ852-2-2-222-2222-2-22-22-200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i2-2-220000000000002i−2i−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ862-2-2-222-2222-2-22-22-200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i-222-2000000000000−2i2i2i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ872-2-2-222-2222-2-22-22-200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i2-2-22000000000000−2i2i2i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000
χ882-2-2-222-2222-2-22-22-200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i-222-20000000000002i−2i−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ892-2-2-222-2222-2-22-22-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i2-2-220000000000002i−2i−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ902-2-2-222-2222-2-22-22-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i-222-2000000000000−2i2i2i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ912-2-2-222-2222-2-22-22-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i2-2-22000000000000−2i2i2i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ922-2-2-222-2222-2-22-22-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i-222-20000000000002i−2i−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000
χ934444-4-4-4444-4-4-44-4-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ94444-4-4444-4-4-444-4-4-40000000022222222−22−22−22−22−22−22−22−22222222220000000000000000000000000000000000000000000000000000000000000000
χ95444-4-4444-4-4-444-4-4-400000000−22−22−22−222222222222222222−22−22−22−220000000000000000000000000000000000000000000000000000000000000000
χ9644-444-44-44-44-44-4-4-4000000002222−22−222222−22−22−22−222222−22−2222220000000000000000000000000000000000000000000000000000000000000000
χ9744-444-44-44-44-44-4-4-400000000−22−222222−22−2222222222−22−222222−22−220000000000000000000000000000000000000000000000000000000000000000
χ9844-4-444-4-4-4444-44-4-444-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-444444-4-44-4-4-4-4-440000000022−2222−2222−2222−22−2222−2222−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ1004-444444-4-44-4-4-4-4-4400000000−2222−2222−2222−222222−2222−2222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ1014-44-44-4-4-44-4-4444-44-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-4-44-444-444-44-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4-4444444-4-4-440000000022−22−2222−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4-4444444-4-4-4400000000−222222−2222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000000000

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