Finite Group Databasebeta

← Group #6432021

Character table — Group #6432021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444888888882224444444444444444488882222222244444444444488888888222444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111-1-1-1-11111
χ41111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-1-11-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-111111-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-111111-1-1-11111-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1111-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1111-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11111-111-1-11-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11111-111-1-11-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111111-1-1-11-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111111-1-1-11-1-11111-1-1
χ17222222222222-2-2-2-2-2-2-2-200000000002000000-20000-2200000000222222222222-2-2-2-2-2-2-2-200000000002000000-20000-2200000000
χ18222222222222-2-2-2-2-2-2-2-20000000000-2000000200002-200000000222222222222-2-2-2-2-2-2-2-20000000000-2000000200002-200000000
χ1922222222-2-2-2-22222-2-2-2-20000000000200000020000-2-20000000022222222-2-2-2-22222-2-2-2-20000000000200000020000-2-200000000
χ2022222222-2-2-2-22222-2-2-2-20000000000-2000000-20000220000000022222222-2-2-2-22222-2-2-2-20000000000-2000000-200002200000000
χ2122-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002-22i−2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002-22i−2i
χ2222-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000000000-22−2i2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000000000-22−2i2i
χ2322-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i22-2-200000000000000000000000022-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i22-2-2000000000000000000000000
χ2422-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-22200000000000000000000000022-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-222000000000000000000000000
χ2522-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-22200000000000000000000000022-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-222000000000000000000000000
χ2622-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i22-2-200000000000000000000000022-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i22-2-2000000000000000000000000
χ2722-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000002-2−2i2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000002-2−2i2i
χ2822-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000-222i−2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000-222i−2i
χ292-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000002-22i−2i000000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000002-22i−2i00000000000000000
χ302-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000-22−2i2i000000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000-22−2i2i00000000000000000
χ312-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000002-2000000002i−2i0000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000002-2000000002i−2i000000000000
χ322-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-2200000000-2200000000−2i2i0000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-2200000000-2200000000−2i2i000000000000
χ332-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000002-200000000−2i2i0000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000002-200000000−2i2i000000000000
χ342-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000-22000000002i−2i0000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000-22000000002i−2i000000000000
χ352-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000000002-2−2i2i000000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000000002-2−2i2i00000000000000000
χ362-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000-222i−2i000000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000-222i−2i00000000000000000
χ372-2-2-2-22222-2-222-2-222-2-220000000000000002-20002-200000000002-2-2-2-22222-2-222-2-222-2-220000000000000002-20002-20000000000
χ382-2-2-2-22222-2-222-2-222-2-22000000000000000-22000-2200000000002-2-2-2-22222-2-222-2-222-2-22000000000000000-22000-220000000000
χ392-2-2-2-22222-2-22-222-2-222-20000000000000000000000002-22-200002-2-2-2-22222-2-22-222-2-222-20000000000000000000000002-22-20000
χ402-2-2-2-22222-2-22-222-2-222-2000000000000000000000000-22-2200002-2-2-2-22222-2-22-222-2-222-2000000000000000000000000-22-220000
χ412-2-2-2-2222-222-22-2-22-222-20000000000000000000000002-2-2200002-2-2-2-2222-222-22-2-22-222-20000000000000000000000002-2-220000
χ422-2-2-2-2222-222-22-2-22-222-2000000000000000000000000-222-200002-2-2-2-2222-222-22-2-22-222-2000000000000000000000000-222-20000
χ432-2-2-2-2222-222-2-222-22-2-220000000000000002-2000-2200000000002-2-2-2-2222-222-2-222-22-2-220000000000000002-2000-220000000000
χ442-2-2-2-2222-222-2-222-22-2-22000000000000000-220002-200000000002-2-2-2-2222-222-2-222-22-2-22000000000000000-220002-20000000000
χ45444-4-44-4-400000000000022−2222−220000000000000000000000000000444-4-44-4-400000000000022−2222−220000000000000000000000000000
χ46444-4-44-4-4000000000000−2222−22220000000000000000000000000000444-4-44-4-4000000000000−2222−22220000000000000000000000000000
χ4744-4-44-4-440000000000002i2−2i2−2i22i2000000000000000000000000000044-4-44-4-440000000000002i2−2i2−2i22i20000000000000000000000000000
χ4844-4-44-4-44000000000000−2i22i22i2−2i2000000000000000000000000000044-4-44-4-44000000000000−2i22i22i2−2i20000000000000000000000000000
χ494-444-4-4-4400000000000000002i2−2i22i2−2i20000000000000000000000004-444-4-4-4400000000000000002i2−2i22i2−2i2000000000000000000000000
χ504-444-4-4-440000000000000000−2i22i2−2i22i20000000000000000000000004-444-4-4-440000000000000000−2i22i2−2i22i2000000000000000000000000
χ514-4-4444-4-400000000000000002i2−2i2−2i22i20000000000000000000000004-4-4444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-4444-4-40000000000000000−2i22i22i2−2i20000000000000000000000004-4-4444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000
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
χ54111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111111111
χ551111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-11111-1-11111-1-1-1-1
χ561111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-11111
χ5711111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-111-1-111111111
χ5811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1-1-1-1-11111
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1111-1-1111111-1-1-1-1
χ6111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111111-11-1-111-1-111
χ6211111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111111-111-1-111-1-1
χ6311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-1-1111-1-1-1-1-1111-1-1-1-111
χ6411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-11-1-1-11111-1-1
χ6511111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1111-1-111-1-1
χ6611111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-111-1-11-1-1-111-1-111
χ6711111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11111-111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-1-11-1-111-11-1-11111-1-1
χ6811111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1111-111-1-1-1-111
χ69222222222222-2-2-2-2-2-2-2-200000000002000000-20000-2200000000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000-2000000200002-200000000
χ70222222222222-2-2-2-2-2-2-2-20000000000-2000000200002-200000000-2-2-2-2-2-2-2-2-2-2-2-22222222200000000002000000-20000-2200000000
χ7122222222-2-2-2-22222-2-2-2-20000000000200000020000-2-200000000-2-2-2-2-2-2-2-22222-2-2-2-222220000000000-2000000-200002200000000
χ7222222222-2-2-2-22222-2-2-2-20000000000-2000000-200002200000000-2-2-2-2-2-2-2-22222-2-2-2-222220000000000200000020000-2-200000000
χ7322-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002-22i−2i-2-22-222-22−2i−2i2i2i−2i−2i2i2i-2-2220000000000000000000000000000-22−2i2i
χ7422-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000000000-22−2i2i-2-22-222-22−2i−2i2i2i−2i−2i2i2i-2-22200000000000000000000000000002-22i−2i
χ7522-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i22-2-2000000000000000000000000-2-22-222-22−2i−2i2i2i2i2i−2i−2i22-2-2−2i−2i2i2i-2-222000000000000000000000000
χ7622-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-222000000000000000000000000-2-22-222-22−2i−2i2i2i2i2i−2i−2i22-2-22i2i−2i−2i22-2-2000000000000000000000000
χ7722-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-222000000000000000000000000-2-22-222-222i2i−2i−2i−2i−2i2i2i22-2-2−2i−2i2i2i22-2-2000000000000000000000000
χ7822-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i22-2-2000000000000000000000000-2-22-222-222i2i−2i−2i−2i−2i2i2i22-2-22i2i−2i−2i-2-222000000000000000000000000
χ7922-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000002-2−2i2i-2-22-222-222i2i−2i−2i2i2i−2i−2i-2-2220000000000000000000000000000-222i−2i
χ8022-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000-222i−2i-2-22-222-222i2i−2i−2i2i2i−2i−2i-2-22200000000000000000000000000002-2−2i2i
χ812-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000002-22i−2i00000000000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i-22-2200000000000-22−2i2i00000000000000000
χ822-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000-22−2i2i00000000000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i-22-22000000000002-22i−2i00000000000000000
χ832-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000002-2000000002i−2i000000000000-22-22-22-22−2i2i−2i2i2i−2i2i−2i2-22-200000000-2200000000−2i2i000000000000
χ842-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-2200000000-2200000000−2i2i000000000000-22-22-22-22−2i2i−2i2i2i−2i2i−2i2-22-2000000002-2000000002i−2i000000000000
χ852-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000002-200000000−2i2i000000000000-22-22-22-222i−2i2i−2i−2i2i−2i2i2-22-200000000-22000000002i−2i000000000000
χ862-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-2200000000-22000000002i−2i000000000000-22-22-22-222i−2i2i−2i−2i2i−2i2i2-22-2000000002-200000000−2i2i000000000000
χ872-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000000002-2−2i2i00000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i-22-2200000000000-222i−2i00000000000000000
χ882-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000-222i−2i00000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i-22-22000000000002-2−2i2i00000000000000000
χ892-2-2-2-22222-2-222-2-222-2-220000000000000002-20002-20000000000-22222-2-2-2-222-2-222-2-222-2000000000000000-22000-220000000000
χ902-2-2-2-22222-2-222-2-222-2-22000000000000000-22000-220000000000-22222-2-2-2-222-2-222-2-222-20000000000000002-20002-20000000000
χ912-2-2-2-22222-2-22-222-2-222-20000000000000000000000002-22-20000-22222-2-2-2-222-22-2-222-2-22000000000000000000000000-22-220000
χ922-2-2-2-22222-2-22-222-2-222-2000000000000000000000000-22-220000-22222-2-2-2-222-22-2-222-2-220000000000000000000000002-22-20000
χ932-2-2-2-2222-222-22-2-22-222-20000000000000000000000002-2-220000-22222-2-2-22-2-22-222-22-2-22000000000000000000000000-222-20000
χ942-2-2-2-2222-222-22-2-22-222-2000000000000000000000000-222-20000-22222-2-2-22-2-22-222-22-2-220000000000000000000000002-2-220000
χ952-2-2-2-2222-222-2-222-22-2-220000000000000002-2000-220000000000-22222-2-2-22-2-222-2-22-222-2000000000000000-220002-20000000000
χ962-2-2-2-2222-222-2-222-22-2-22000000000000000-220002-20000000000-22222-2-2-22-2-222-2-22-222-20000000000000002-2000-220000000000
χ97444-4-44-4-400000000000022−2222−220000000000000000000000000000-4-4-444-444000000000000−2222−22220000000000000000000000000000
χ98444-4-44-4-4000000000000−2222−22220000000000000000000000000000-4-4-444-44400000000000022−2222−220000000000000000000000000000
χ9944-4-44-4-440000000000002i2−2i2−2i22i20000000000000000000000000000-4-444-444-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ10044-4-44-4-44000000000000−2i22i22i2−2i20000000000000000000000000000-4-444-444-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ1014-444-4-4-4400000000000000002i2−2i22i2−2i2000000000000000000000000-44-4-4444-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ1024-444-4-4-440000000000000000−2i22i2−2i22i2000000000000000000000000-44-4-4444-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ1034-4-4444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000-444-4-4-4440000000000000000−2i22i22i2−2i2000000000000000000000000
χ1044-4-4444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000-444-4-4-44400000000000000002i2−2i2−2i22i2000000000000000000000000

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