Finite Group Databasebeta

← Group #6355321

Character table — Group #6355321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222244444444444444442222224444444444444444888888888888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1411111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1511111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ171111-1-1-1-111-1-1-1-111-1-111111-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ181111-1-1-1-111-1-1-1-111-1-111111-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ191111-1-1-1-111-1-1-1-111-1-111111-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-11-1-11-11
χ201111-1-1-1-111-1-1-1-111-1-111111-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-11-111-11-1
χ211111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1111111-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-11-11-11-11
χ221111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1111111-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-11-11-1
χ231111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-11-11-111-11-1
χ241111-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-11-11-1-11-11
χ251111-1-1-1-1-1-111-1-1-1-1111111-1111-1-11-1-111-11-1-111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-111-1-111-1-11
χ261111-1-1-1-1-1-111-1-1-1-1111111-1111-1-11-1-111-11-1-111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1-111-1-111-1
χ271111-1-1-1-1-1-111-1-1-1-1111111-1111-1-11-1-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ281111-1-1-1-1-1-111-1-1-1-1111111-1111-1-11-1-111-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ291111-1-1-1-1-1-111-1-1-1-1111111-11-1-111111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-11-111-1-111-1
χ301111-1-1-1-1-1-111-1-1-1-1111111-11-1-111111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-11-1-111-1-11
χ311111-1-1-1-1-1-111-1-1-1-1111111-11-1-111111-1-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ321111-1-1-1-1-1-111-1-1-1-1111111-11-1-111111-1-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ33222222222222-2-2-2-2-2-2-2-2-2-222000020000-2-20000-2000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ34222222222222-2-2-2-2-2-2-2-2-2-222000020000-2-20000-200000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3522222222-2-2-2-2-2-22222-2-2-2-2-2-2000020000220000-2000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3622222222-2-2-2-2-2-22222-2-2-2-2-2-2000020000220000-200000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ37222222-2-2222222222222-2-2-2-222-2-2-2-2-222-2-222-2-2-2-2-222000000000000000000000000000000000000000000000000
χ38222222-2-2222222222222-2-2-2-2-2-222-222-2-2-2-2-2-222-222-2-2000000000000000000000000000000000000000000000000
χ39222222-2-22222-2-2-2-2-2-2-2-222-2-20000-200002200002000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ40222222-2-22222-2-2-2-2-2-2-2-222-2-20000-2000022000020000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ41222222-2-2-2-2-2-222-2-2-2-222-2-2222222-2-2-2-2-2222222-2-2-2-2-2000000000000000000000000000000000000000000000000
χ42222222-2-2-2-2-2-222-2-2-2-222-2-222-2-2-2-2-2222222-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ43222222-2-2-2-2-2-2-2-22222-2-222220000-20000-2-200002000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ44222222-2-2-2-2-2-2-2-22222-2-222220000-20000-2-2000020000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ452222-2-22222-2-222-2-222-2-222-220000-200002-20000-2000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ462222-2-22222-2-222-2-222-2-222-220000-200002-20000-20000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ472222-2-22222-2-2-2-222-2-222-2-2-2222-2-2-222-2-2-22-2-2222-2-222000000000000000000000000000000000000000000000000
χ482222-2-22222-2-2-2-222-2-222-2-2-22-2-222-2-2-222-2222-2-2222-2-2000000000000000000000000000000000000000000000000
χ492222-2-222-2-2222222-2-2-2-2222-20000-20000-220000-2000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ502222-2-222-2-2222222-2-2-2-2222-20000-20000-220000-20000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ512222-2-222-2-222-2-2-2-22222-2-22-22222-222222-2-2-2-2-22-2-2-2-2000000000000000000000000000000000000000000000000
χ522222-2-222-2-222-2-2-2-22222-2-22-2-2-2-2-2-2-2-2-2-22-2222222222000000000000000000000000000000000000000000000000
χ532222-2-2-2-222-2-222-2-222-2-2-2-22-2000020000-2200002000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ542222-2-2-2-222-2-222-2-222-2-2-2-22-2000020000-220000200000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ552222-2-2-2-2-2-2222222-2-2-2-2-2-2-220000200002-200002000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ562222-2-2-2-2-2-2222222-2-2-2-2-2-2-220000200002-20000200000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ572-22-22-2002i−2i2i−2i2-22i−2i2i−2i2-20000002-202i−2i0000002-202i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ582-22-22-2002i−2i2i−2i2-22i−2i2i−2i2-20000002-202i−2i0000002-202i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ592-22-22-2002i−2i2i−2i2-22i−2i2i−2i2-2000000-220−2i2i000000-220−2i2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ602-22-22-2002i−2i2i−2i2-22i−2i2i−2i2-2000000-220−2i2i000000-220−2i2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ612-22-22-2002i−2i2i−2i-22−2i2i−2i2i-2200002-2000002i−2i002-2000002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ622-22-22-2002i−2i2i−2i-22−2i2i−2i2i-2200002-2000002i−2i002-2000002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ632-22-22-2002i−2i2i−2i-22−2i2i−2i2i-220000-2200000−2i2i00-2200000−2i2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ642-22-22-2002i−2i2i−2i-22−2i2i−2i2i-220000-2200000−2i2i00-2200000−2i2i−222−2−222−2−i2i2i2−i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ652-22-22-200−2i2i−2i2i2-2−2i2i−2i2i2-20000002-20−2i2i0000002-20−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ662-22-22-200−2i2i−2i2i2-2−2i2i−2i2i2-20000002-20−2i2i0000002-20−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ672-22-22-200−2i2i−2i2i2-2−2i2i−2i2i2-2000000-2202i−2i000000-2202i−2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ682-22-22-200−2i2i−2i2i2-2−2i2i−2i2i2-2000000-2202i−2i000000-2202i−2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ692-22-22-200−2i2i−2i2i-222i−2i2i−2i-2200002-200000−2i2i002-200000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ702-22-22-200−2i2i−2i2i-222i−2i2i−2i-2200002-200000−2i2i002-200000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ712-22-22-200−2i2i−2i2i-222i−2i2i−2i-220000-22000002i−2i00-22000002i−2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ722-22-22-200−2i2i−2i2i-222i−2i2i−2i-220000-22000002i−2i00-22000002i−2i−222−2−222−2i2−i2−i2i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ732-22-2-22002i−2i−2i2i2-2−2i2i2i−2i-2200002-200000−2i2i00-22000002i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i22−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ742-22-2-22002i−2i−2i2i2-2−2i2i2i−2i-2200002-200000−2i2i00-22000002i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ752-22-2-22002i−2i−2i2i2-2−2i2i2i−2i-220000-22000002i−2i002-200000−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ762-22-2-22002i−2i−2i2i2-2−2i2i2i−2i-220000-22000002i−2i002-200000−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ772-22-2-22002i−2i−2i2i-222i−2i−2i2i2-20000002-20−2i2i000000-2202i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
χ782-22-2-22002i−2i−2i2i-222i−2i−2i2i2-20000002-20−2i2i000000-2202i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ792-22-2-22002i−2i−2i2i-222i−2i−2i2i2-2000000-2202i−2i0000002-20−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ802-22-2-22002i−2i−2i2i-222i−2i−2i2i2-2000000-2202i−2i0000002-20−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
χ812-22-2-2200−2i2i2i−2i2-22i−2i−2i2i-2200002-2000002i−2i00-2200000−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ822-22-2-2200−2i2i2i−2i2-22i−2i−2i2i-2200002-2000002i−2i00-2200000−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ832-22-2-2200−2i2i2i−2i2-22i−2i−2i2i-220000-2200000−2i2i002-2000002i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ842-22-2-2200−2i2i2i−2i2-22i−2i−2i2i-220000-2200000−2i2i002-2000002i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ852-22-2-2200−2i2i2i−2i-22−2i2i2i−2i2-20000002-202i−2i000000-220−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ862-22-2-2200−2i2i2i−2i-22−2i2i2i−2i2-20000002-202i−2i000000-220−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ872-22-2-2200−2i2i2i−2i-22−2i2i2i−2i2-2000000-220−2i2i0000002-202i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ882-22-2-2200−2i2i2i−2i-22−2i2i2i−2i2-2000000-220−2i2i0000002-202i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ8988-8-8008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-8800000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-880000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000

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