Finite Group Databasebeta

← Group #6449026

Character table — Group #6449026

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444442222444444888888882244444444448888442222222244444444222244444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-111-1-11-1111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1
χ13111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-111-1-1-11-1-111-1-111-11111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-111-1-1-11-1-111-1-111-11
χ14111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1
χ15111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1
χ16111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ1722222222-22222-2-2-22222-2-2000000000000000000-2-2000000000022222222-22222-2-2-22222-2-2000000000000000000-2-20000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-200000000000000000022000000000022222222-22222-2-2-2-2-2-2-2-2-2000000000000000000220000000000
χ1922222222-2-2-2-2-2-2-2-222-2-222000000000000000000-22000000000022222222-2-2-2-2-2-2-2-222-2-222000000000000000000-220000000000
χ2022222222-2-2-2-2-2-2-2-2-2-222220000000000000000002-2000000000022222222-2-2-2-2-2-2-2-2-2-222220000000000000000002-20000000000
χ21222-2-2-22-2022-2-20002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200222-2-2-22-2022-2-20002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ22222-2-2-22-2022-2-20002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200222-2-2-22-2022-2-20002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ23222-2-2-22-2022-2-2000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200222-2-2-22-2022-2-2000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ24222-2-2-22-2022-2-2000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200222-2-2-22-2022-2-2000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ25222-2-2-22-20-2-2220002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200222-2-2-22-20-2-2220002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ26222-2-2-22-20-2-2220002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200222-2-2-22-20-2-2220002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ27222-2-2-22-20-2-222000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200222-2-2-22-20-2-222000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ28222-2-2-22-20-2-222000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200222-2-2-22-20-2-222000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ2922-2-22-2-22200002-2-20000002i2i−2i−2i00002i−2i2i−2i00002-200000000000022-2-22-2-22200002-2-20000002i2i−2i−2i00002i−2i2i−2i00002-2000000000000
χ3022-2-22-2-22200002-2-20000002i2i−2i−2i0000−2i2i−2i2i0000-2200000000000022-2-22-2-22200002-2-20000002i2i−2i−2i0000−2i2i−2i2i0000-22000000000000
χ3122-2-22-2-22200002-2-2000000−2i−2i2i2i00002i−2i2i−2i0000-2200000000000022-2-22-2-22200002-2-2000000−2i−2i2i2i00002i−2i2i−2i0000-22000000000000
χ3222-2-22-2-22200002-2-2000000−2i−2i2i2i0000−2i2i−2i2i00002-200000000000022-2-22-2-22200002-2-2000000−2i−2i2i2i0000−2i2i−2i2i00002-2000000000000
χ332-22-2-22-2220000-22-20000002i−2i2i−2i2i−2i2i−2i0000002-2000000000000002-22-2-22-2220000-22-20000002i−2i2i−2i2i−2i2i−2i0000002-200000000000000
χ342-22-2-22-2220000-22-20000002i−2i2i−2i−2i2i−2i2i000000-22000000000000002-22-2-22-2220000-22-20000002i−2i2i−2i−2i2i−2i2i000000-2200000000000000
χ352-22-2-22-2220000-22-2000000−2i2i−2i2i2i−2i2i−2i000000-22000000000000002-22-2-22-2220000-22-2000000−2i2i−2i2i2i−2i2i−2i000000-2200000000000000
χ362-22-2-22-2220000-22-2000000−2i2i−2i2i−2i2i−2i2i0000002-2000000000000002-22-2-22-2220000-22-2000000−2i2i−2i2i−2i2i−2i2i0000002-200000000000000
χ372-2-22-2-22222-22-2-2-2200002-22-2-22000000002-200000000000000002-2-22-2-22222-22-2-2-2200002-22-2-22000000002-20000000000000000
χ382-2-22-2-22222-22-2-2-2200002-2-222-200000000-2200000000000000002-2-22-2-22222-22-2-2-2200002-2-222-200000000-220000000000000000
χ392-2-22-2-2222-22-22-2-220000-222-2-2200000000-2200000000000000002-2-22-2-2222-22-22-2-220000-222-2-2200000000-220000000000000000
χ402-2-22-2-2222-22-22-2-220000-22-222-2000000002-200000000000000002-2-22-2-2222-22-22-2-220000-22-222-2000000002-20000000000000000
χ412-2-22-2-222-22-22-222-20000-22000000000000000000002-22-20000002-2-22-2-222-22-22-222-20000-22000000000000000000002-22-2000000
χ422-2-22-2-222-22-22-222-20000-2200000000000000000000-22-220000002-2-22-2-222-22-22-222-20000-2200000000000000000000-22-22000000
χ432-2-22-2-222-2-22-2222-200002-2000000000000000000002-2-220000002-2-22-2-222-2-22-2222-200002-2000000000000000000002-2-22000000
χ442-2-22-2-222-2-22-2222-200002-200000000000000000000-222-20000002-2-22-2-222-2-22-2222-200002-200000000000000000000-222-2000000
χ4544-44-44-4-4000000000000000000000022−22−222200000000000000000044-44-44-4-4000000000000000000000022−22−2222000000000000000000
χ4644-44-44-4-40000000000000000000000−222222−2200000000000000000044-44-44-4-40000000000000000000000−222222−22000000000000000000
χ4744-4-44-4-44-40000-44400000000000000000000000000000000000044-4-44-4-44-40000-444000000000000000000000000000000000000
χ484-4444-4-4-400000000000000000022−22−222200000000000000000000004-4444-4-4-400000000000000000022−22−22220000000000000000000000
χ494-4444-4-4-4000000000000000000−222222−2200000000000000000000004-4444-4-4-4000000000000000000−222222−220000000000000000000000
χ504-44-4-44-44-400004-440000000000000000000000000000000000004-44-4-44-44-400004-44000000000000000000000000000000000000
χ514-4-4-4444-404-4-440000000000000000000000000000000000000004-4-4-4444-404-4-44000000000000000000000000000000000000000
χ524-4-4-4444-40-444-40000000000000000000000000000000000000004-4-4-4444-40-444-4000000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1
χ571111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1
χ591111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-11-1-111-1-111-11
χ62111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-1-11111-1-11-1
χ63111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1111-1-1-1-1111-1
χ64111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
χ65111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-111-1-1-11-1-111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111-111-1-111-1-11-1
χ66111111111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111-11
χ67111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-11111-1-111-1-11-1-1-11111-1-1-11
χ68111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1
χ6922222222-22222-2-2-22222-2-2000000000000000000-2-20000000000-2-2-2-2-2-2-2-22-2-2-2-2222-2-2-2-222000000000000000000220000000000
χ7022222222-22222-2-2-2-2-2-2-2-2-2000000000000000000220000000000-2-2-2-2-2-2-2-22-2-2-2-2222222222000000000000000000-2-20000000000
χ7122222222-2-2-2-2-2-2-2-222-2-222000000000000000000-220000000000-2-2-2-2-2-2-2-222222222-2-222-2-20000000000000000002-20000000000
χ7222222222-2-2-2-2-2-2-2-2-2-222220000000000000000002-20000000000-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000-220000000000
χ73222-2-2-22-2022-2-20002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200-2-2-2222-220-2-222000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ74222-2-2-22-2022-2-20002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200-2-2-2222-220-2-222000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ75222-2-2-22-2022-2-2000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200-2-2-2222-220-2-2220002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ76222-2-2-22-2022-2-2000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200-2-2-2222-220-2-2220002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ77222-2-2-22-20-2-2220002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200-2-2-2222-22022-2-2000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ78222-2-2-22-20-2-2220002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200-2-2-2222-22022-2-2000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ79222-2-2-22-20-2-222000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200-2-2-2222-22022-2-20002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ80222-2-2-22-20-2-222000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200-2-2-2222-22022-2-20002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ8122-2-22-2-22200002-2-20000002i2i−2i−2i00002i−2i2i−2i00002-2000000000000-2-222-222-2-20000-222000000−2i−2i2i2i0000−2i2i−2i2i0000-22000000000000
χ8222-2-22-2-22200002-2-20000002i2i−2i−2i0000−2i2i−2i2i0000-22000000000000-2-222-222-2-20000-222000000−2i−2i2i2i00002i−2i2i−2i00002-2000000000000
χ8322-2-22-2-22200002-2-2000000−2i−2i2i2i00002i−2i2i−2i0000-22000000000000-2-222-222-2-20000-2220000002i2i−2i−2i0000−2i2i−2i2i00002-2000000000000
χ8422-2-22-2-22200002-2-2000000−2i−2i2i2i0000−2i2i−2i2i00002-2000000000000-2-222-222-2-20000-2220000002i2i−2i−2i00002i−2i2i−2i0000-22000000000000
χ852-22-2-22-2220000-22-20000002i−2i2i−2i2i−2i2i−2i0000002-200000000000000-22-222-22-2-200002-22000000−2i2i−2i2i−2i2i−2i2i000000-2200000000000000
χ862-22-2-22-2220000-22-20000002i−2i2i−2i−2i2i−2i2i000000-2200000000000000-22-222-22-2-200002-22000000−2i2i−2i2i2i−2i2i−2i0000002-200000000000000
χ872-22-2-22-2220000-22-2000000−2i2i−2i2i2i−2i2i−2i000000-2200000000000000-22-222-22-2-200002-220000002i−2i2i−2i−2i2i−2i2i0000002-200000000000000
χ882-22-2-22-2220000-22-2000000−2i2i−2i2i−2i2i−2i2i0000002-200000000000000-22-222-22-2-200002-220000002i−2i2i−2i2i−2i2i−2i000000-2200000000000000
χ892-2-22-2-22222-22-2-2-2200002-22-2-22000000002-20000000000000000-222-222-2-2-2-22-2222-20000-22-222-200000000-220000000000000000
χ902-2-22-2-22222-22-2-2-2200002-2-222-200000000-220000000000000000-222-222-2-2-2-22-2222-20000-222-2-22000000002-20000000000000000
χ912-2-22-2-2222-22-22-2-220000-222-2-2200000000-220000000000000000-222-222-2-2-22-22-222-200002-2-222-2000000002-20000000000000000
χ922-2-22-2-2222-22-22-2-220000-22-222-2000000002-20000000000000000-222-222-2-2-22-22-222-200002-22-2-2200000000-220000000000000000
χ932-2-22-2-222-22-22-222-20000-22000000000000000000002-22-2000000-222-222-2-22-22-22-2-2200002-200000000000000000000-22-22000000
χ942-2-22-2-222-22-22-222-20000-2200000000000000000000-22-22000000-222-222-2-22-22-22-2-2200002-2000000000000000000002-22-2000000
χ952-2-22-2-222-2-22-2222-200002-2000000000000000000002-2-22000000-222-222-2-222-22-2-2-220000-2200000000000000000000-222-2000000
χ962-2-22-2-222-2-22-2222-200002-200000000000000000000-222-2000000-222-222-2-222-22-2-2-220000-22000000000000000000002-2-22000000
χ9744-44-44-4-4000000000000000000000022−22−2222000000000000000000-4-44-44-4440000000000000000000000−222222−22000000000000000000
χ9844-44-44-4-40000000000000000000000−222222−22000000000000000000-4-44-44-444000000000000000000000022−22−2222000000000000000000
χ9944-4-44-4-44-40000-444000000000000000000000000000000000000-4-444-444-4400004-4-4000000000000000000000000000000000000
χ1004-4444-4-4-400000000000000000022−22−22220000000000000000000000-44-4-4-4444000000000000000000−222222−220000000000000000000000
χ1014-4444-4-4-4000000000000000000−222222−220000000000000000000000-44-4-4-444400000000000000000022−22−22220000000000000000000000
χ1024-44-4-44-44-400004-44000000000000000000000000000000000000-44-444-44-440000-44-4000000000000000000000000000000000000
χ1034-4-4-4444-404-4-44000000000000000000000000000000000000000-4444-4-4-440-444-4000000000000000000000000000000000000000
χ1044-4-4-4444-40-444-4000000000000000000000000000000000000000-4444-4-4-4404-4-44000000000000000000000000000000000000000

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