Finite Group Databasebeta

← Group #6348062

Character table — Group #6348062

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12224444224444442244444444888888884444444488888888442222444422444444224444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-1-1-1-1-11-1-111111-1-1-111-1-111111-1-1-1-11-11-111-1-111-1-111-1-11-11111-1-1-1-1-1-11-1-111111-1-1-111-1-111111-1-1-1-11-11-111-1-111-1-111-1-11-1
χ101111-1-1-1-1-1-11-1-111111-1-1-111-1-11-1-1-1-111111-11-111-1-1-1-111-1-111-111111-1-1-1-1-1-11-1-111111-1-1-111-1-11-1-1-1-111111-11-111-1-1-1-111-1-111-11
χ111111-1-1-1-1-1-11-1-111111-1-1-1-1-11111111-1-1-1-11-1-11-1-11111-1-1-1-111-111111-1-1-1-1-1-11-1-111111-1-1-1-1-11111111-1-1-1-11-1-11-1-11111-1-1-1-111-11
χ121111-1-1-1-1-1-11-1-111111-1-1-1-1-1111-1-1-1-111111-1-11-1-111-1-11111-1-11-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1111-1-1-1-111111-1-11-1-111-1-11111-1-11-1
χ131111-1-1-1-1-1-11-1-1111-1-111-111-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-111111-1-1-1-1-1-11-1-1111-1-111-111-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11
χ141111-1-1-1-1-1-11-1-1111-1-111-111-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1111-1-111-111-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1111-1
χ151111-1-1-1-1-1-11-1-1111-1-111-1-1-11111111-1-1-1-1-11-1111-1-1-1-111-1-1111-11111-1-1-1-1-1-11-1-1111-1-111-1-1-11111111-1-1-1-1-11-1111-1-1-1-111-1-1111-1
χ161111-1-1-1-1-1-11-1-1111-1-111-1-1-1111-1-1-1-11111-11-1111-1-111-1-111-1-1-111111-1-1-1-1-1-11-1-1111-1-111-1-1-1111-1-1-1-11111-11-1111-1-111-1-111-1-1-11
χ1722222222222-2-2-2-222222-20000-200000000-2-2000000000000000022222222222-2-2-2-222222-20000-200000000-2-20000000000000000
χ1822222222222-2-2-2-22-2-2-2-2-20000-20000000022000000000000000022222222222-2-2-2-22-2-2-2-2-20000-200000000220000000000000000
χ1922222222-2-2-22222-20000-22222-20000000000-2-20000000000000022222222-2-2-22222-20000-22222-20000000000-2-200000000000000
χ2022222222-2-2-22222-20000-2-2-2-2-2-20000000000220000000000000022222222-2-2-22222-20000-2-2-2-2-2-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-200002000020000000000002-22-2000000000022222222-2-2-2-2-2-2-2-200002000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20000200002000000000000-22-22000000000022222222-2-2-2-2-2-2-2-20000200002000000000000-22-220000000000
χ232222-2-2-2-222-222-2-2-20000-2000020000000000002-2-2200000000002222-2-2-2-222-222-2-2-20000-2000020000000000002-2-220000000000
χ242222-2-2-2-222-222-2-2-20000-200002000000000000-222-200000000002222-2-2-2-222-222-2-2-20000-200002000000000000-222-20000000000
χ252222-2-2-2-222-2-2-222-20000222-2-2-20000000000-22000000000000002222-2-2-2-222-2-2-222-20000222-2-2-20000000000-2200000000000000
χ262222-2-2-2-222-2-2-222-200002-2-222-200000000002-2000000000000002222-2-2-2-222-2-2-222-200002-2-222-200000000002-200000000000000
χ272222-2-2-2-2-2-2222-2-2222-2-220000-200000000-2200000000000000002222-2-2-2-2-2-2222-2-2222-2-220000-200000000-220000000000000000
χ282222-2-2-2-2-2-2222-2-22-2-22220000-2000000002-200000000000000002222-2-2-2-2-2-2222-2-22-2-22220000-2000000002-20000000000000000
χ2922-2-222-2-22-220000-22-22-200000022−2−222−2−2000000002−22−200000022-2-222-2-22-220000-22-22-200000022−2−222−2−2000000002−22−2000000
χ3022-2-222-2-22-220000-22-22-2000000−2−222−2−22200000000−22−2200000022-2-222-2-22-220000-22-22-2000000−2−222−2−22200000000−22−22000000
χ3122-2-222-2-22-220000-2-22-2200000022−2−222−2−200000000−22−2200000022-2-222-2-22-220000-2-22-2200000022−2−222−2−200000000−22−22000000
χ3222-2-222-2-22-220000-2-22-22000000−2−222−2−222000000002−22−200000022-2-222-2-22-220000-2-22-22000000−2−222−2−222000000002−22−2000000
χ3322-2-2-2-222-2220000-22-2-2200000022−2−2−2−222000000002−2−2200000022-2-2-2-222-2220000-22-2-2200000022−2−2−2−222000000002−2−22000000
χ3422-2-2-2-222-2220000-22-2-22000000−2−22222−2−200000000−222−200000022-2-2-2-222-2220000-22-2-22000000−2−22222−2−200000000−222−2000000
χ3522-2-2-2-222-2220000-2-222-200000022−2−2−2−22200000000−222−200000022-2-2-2-222-2220000-2-222-200000022−2−2−2−22200000000−222−2000000
χ3622-2-2-2-222-2220000-2-222-2000000−2−22222−2−2000000002−2−2200000022-2-2-2-222-2220000-2-222-2000000−2−22222−2−2000000002−2−22000000
χ372-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0i2−i2i2−i22−22−2000000000000i2−i22−2002-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0i2−i2i2−i22−22−2000000000000i2−i22−200
χ382-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0−i2i2−i2i2−22−22000000000000−i2i2−22002-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0−i2i2−i2i2−22−22000000000000−i2i2−2200
χ392-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0i2−i2i2−i22−22−2000000000000−i2i2−22002-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0i2−i2i2−i22−22−2000000000000−i2i2−2200
χ402-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0−i2i2−i2i2−22−22000000000000i2−i22−2002-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0−i2i2−i2i2−22−22000000000000i2−i22−200
χ412-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0i2−i2i2−i2−22−22000000000000i2−i2−22002-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0i2−i2i2−i2−22−22000000000000i2−i2−2200
χ422-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0−i2i2−i2i22−22−2000000000000−i2i22−2002-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0−i2i2−i2i22−22−2000000000000−i2i22−200
χ432-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0i2−i2i2−i2−22−22000000000000−i2i22−2002-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0i2−i2i2−i2−22−22000000000000−i2i22−200
χ442-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0−i2i2−i2i22−22−2000000000000i2−i2−22002-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0−i2i2−i2i22−22−2000000000000i2−i2−2200
χ4544-4-444-4-4-44-40000400000000000000000000000000000000000044-4-444-4-4-44-400004000000000000000000000000000000000000
χ4644-4-4-4-4444-4-40000400000000000000000000000000000000000044-4-4-4-4444-4-400004000000000000000000000000000000000000
χ474-44-44i−4i4i−4i000−4i4i-4400000000000000000000000000000000000004-44-44i−4i4i−4i000−4i4i-440000000000000000000000000000000000000
χ484-44-4−4i4i−4i4i0004i−4i-4400000000000000000000000000000000000004-44-4−4i4i−4i4i0004i−4i-440000000000000000000000000000000000000
χ494-4-444i−4i−4i4i0000000000000000002i−2i−2i2i2-2-220000000000000000004-4-444i−4i−4i4i0000000000000000002i−2i−2i2i2-2-22000000000000000000
χ504-4-444i−4i−4i4i000000000000000000−2i2i2i−2i-222-20000000000000000004-4-444i−4i−4i4i000000000000000000−2i2i2i−2i-222-2000000000000000000
χ514-4-44−4i4i4i−4i0000000000000000002i−2i−2i2i-222-20000000000000000004-4-44−4i4i4i−4i0000000000000000002i−2i−2i2i-222-2000000000000000000
χ524-4-44−4i4i4i−4i000000000000000000−2i2i2i−2i2-2-220000000000000000004-4-44−4i4i4i−4i000000000000000000−2i2i2i−2i2-2-22000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111
χ55111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ56111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-11111111111-1-1-1-1-1-1
χ571111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1
χ591111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ601111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111-1-1-1-1-1-11-1-111111-1-1-111-1-111111-1-1-1-11-11-111-1-111-1-111-1-11-1-1-1-1-1111111-111-1-1-1-1-1111-1-111-1-1-1-1-11111-11-11-1-111-1-111-1-111-11
χ621111-1-1-1-1-1-11-1-111111-1-1-111-1-11-1-1-1-111111-11-111-1-1-1-111-1-111-11-1-1-1-1111111-111-1-1-1-1-1111-1-111-11111-1-1-1-1-11-11-1-11111-1-111-1-11-1
χ631111-1-1-1-1-1-11-1-111111-1-1-1-1-11111111-1-1-1-11-1-11-1-11111-1-1-1-111-11-1-1-1-1111111-111-1-1-1-1-111111-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-11-1
χ641111-1-1-1-1-1-11-1-111111-1-1-1-1-1111-1-1-1-111111-1-11-1-111-1-11111-1-11-1-1-1-1-1111111-111-1-1-1-1-111111-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-111-11
χ651111-1-1-1-1-1-11-1-1111-1-111-111-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-1-1-1-1111111-111-1-1-111-1-11-1-111-1-1-1-1-111111-1-1111-1-111-1-1-1-1111-1
χ661111-1-1-1-1-1-11-1-1111-1-111-111-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1111-1-1-1-1-1111111-111-1-1-111-1-11-1-111-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-11
χ671111-1-1-1-1-1-11-1-1111-1-111-1-1-11111111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-1-1-1-1111111-111-1-1-111-1-1111-1-1-1-1-1-1-111111-11-1-1-11111-1-111-1-1-11
χ681111-1-1-1-1-1-11-1-1111-1-111-1-1-1111-1-1-1-11111-11-1111-1-111-1-111-1-1-11-1-1-1-1111111-111-1-1-111-1-1111-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-1111-1
χ6922222222222-2-2-2-222222-20000-200000000-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-220000200000000220000000000000000
χ7022222222222-2-2-2-22-2-2-2-2-20000-200000000220000000000000000-2-2-2-2-2-2-2-2-2-2-22222-2222220000200000000-2-20000000000000000
χ7122222222-2-2-22222-20000-22222-20000000000-2-200000000000000-2-2-2-2-2-2-2-2222-2-2-2-2200002-2-2-2-2200000000002200000000000000
χ7222222222-2-2-22222-20000-2-2-2-2-2-200000000002200000000000000-2-2-2-2-2-2-2-2222-2-2-2-2200002222220000000000-2-200000000000000
χ7322222222-2-2-2-2-2-2-2-200002000020000000000002-22-20000000000-2-2-2-2-2-2-2-2222222220000-20000-2000000000000-22-220000000000
χ7422222222-2-2-2-2-2-2-2-20000200002000000000000-22-220000000000-2-2-2-2-2-2-2-2222222220000-20000-20000000000002-22-20000000000
χ752222-2-2-2-222-222-2-2-20000-2000020000000000002-2-220000000000-2-2-2-22222-2-22-2-2222000020000-2000000000000-222-20000000000
χ762222-2-2-2-222-222-2-2-20000-200002000000000000-222-20000000000-2-2-2-22222-2-22-2-2222000020000-20000000000002-2-220000000000
χ772222-2-2-2-222-2-2-222-20000222-2-2-20000000000-2200000000000000-2-2-2-22222-2-2222-2-220000-2-2-222200000000002-200000000000000
χ782222-2-2-2-222-2-2-222-200002-2-222-200000000002-200000000000000-2-2-2-22222-2-2222-2-220000-222-2-220000000000-2200000000000000
χ792222-2-2-2-2-2-2222-2-2222-2-220000-200000000-220000000000000000-2-2-2-2222222-2-2-222-2-2-222-200002000000002-20000000000000000
χ802222-2-2-2-2-2-2222-2-22-2-22220000-2000000002-20000000000000000-2-2-2-2222222-2-2-222-222-2-2-20000200000000-220000000000000000
χ8122-2-222-2-22-220000-22-22-200000022−2−222−2−2000000002−22−2000000-2-222-2-222-22-200002-22-22000000−2−222−2−22200000000−22−22000000
χ8222-2-222-2-22-220000-22-22-2000000−2−222−2−22200000000−22−22000000-2-222-2-222-22-200002-22-2200000022−2−222−2−2000000002−22−2000000
χ8322-2-222-2-22-220000-2-22-2200000022−2−222−2−200000000−22−22000000-2-222-2-222-22-2000022-22-2000000−2−222−2−222000000002−22−2000000
χ8422-2-222-2-22-220000-2-22-22000000−2−222−2−222000000002−22−2000000-2-222-2-222-22-2000022-22-200000022−2−222−2−200000000−22−22000000
χ8522-2-2-2-222-2220000-22-2-2200000022−2−2−2−222000000002−2−22000000-2-22222-2-22-2-200002-222-2000000−2−22222−2−200000000−222−2000000
χ8622-2-2-2-222-2220000-22-2-22000000−2−22222−2−200000000−222−2000000-2-22222-2-22-2-200002-222-200000022−2−2−2−222000000002−2−22000000
χ8722-2-2-2-222-2220000-2-222-200000022−2−2−2−22200000000−222−2000000-2-22222-2-22-2-2000022-2-22000000−2−22222−2−2000000002−2−22000000
χ8822-2-2-2-222-2220000-2-222-2000000−2−22222−2−2000000002−2−22000000-2-22222-2-22-2-2000022-2-2200000022−2−2−2−22200000000−222−2000000
χ892-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0i2−i2i2−i22−22−2000000000000i2−i22−200-22-22−2i2i−2i2i000−2i2i-22000000-22−2i2i0−i2i2−i2i2−22−22000000000000−i2i2−2200
χ902-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0−i2i2−i2i2−22−22000000000000−i2i2−2200-22-22−2i2i−2i2i000−2i2i-22000000-22−2i2i0i2−i2i2−i22−22−2000000000000i2−i22−200
χ912-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0i2−i2i2−i22−22−2000000000000−i2i2−2200-22-22−2i2i−2i2i000−2i2i-220000002-22i−2i0−i2i2−i2i2−22−22000000000000i2−i22−200
χ922-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0−i2i2−i2i2−22−22000000000000i2−i22−200-22-22−2i2i−2i2i000−2i2i-220000002-22i−2i0i2−i2i2−i22−22−2000000000000−i2i2−2200
χ932-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0i2−i2i2−i2−22−22000000000000i2−i2−2200-22-222i−2i2i−2i0002i−2i-22000000-222i−2i0−i2i2−i2i22−22−2000000000000−i2i22−200
χ942-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0−i2i2−i2i22−22−2000000000000−i2i22−200-22-222i−2i2i−2i0002i−2i-22000000-222i−2i0i2−i2i2−i2−22−22000000000000i2−i2−2200
χ952-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0i2−i2i2−i2−22−22000000000000−i2i22−200-22-222i−2i2i−2i0002i−2i-220000002-2−2i2i0−i2i2−i2i22−22−2000000000000i2−i2−2200
χ962-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0−i2i2−i2i22−22−2000000000000i2−i2−2200-22-222i−2i2i−2i0002i−2i-220000002-2−2i2i0i2−i2i2−i2−22−22000000000000−i2i22−200
χ9744-4-444-4-4-44-400004000000000000000000000000000000000000-4-444-4-4444-440000-4000000000000000000000000000000000000
χ9844-4-4-4-4444-4-400004000000000000000000000000000000000000-4-44444-4-4-4440000-4000000000000000000000000000000000000
χ994-44-44i−4i4i−4i000−4i4i-440000000000000000000000000000000000000-44-44−4i4i−4i4i0004i−4i4-40000000000000000000000000000000000000
χ1004-44-4−4i4i−4i4i0004i−4i-440000000000000000000000000000000000000-44-444i−4i4i−4i000−4i4i4-40000000000000000000000000000000000000
χ1014-4-444i−4i−4i4i0000000000000000002i−2i−2i2i2-2-22000000000000000000-444-4−4i4i4i−4i000000000000000000−2i2i2i−2i-222-2000000000000000000
χ1024-4-444i−4i−4i4i000000000000000000−2i2i2i−2i-222-2000000000000000000-444-4−4i4i4i−4i0000000000000000002i−2i−2i2i2-2-22000000000000000000
χ1034-4-44−4i4i4i−4i0000000000000000002i−2i−2i2i-222-2000000000000000000-444-44i−4i−4i4i000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ1044-4-44−4i4i4i−4i000000000000000000−2i2i2i−2i2-2-22000000000000000000-444-44i−4i−4i4i0000000000000000002i−2i−2i2i-222-2000000000000000000

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