Finite Group Databasebeta

← Group #6450113

Character table — Group #6450113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444442244444444888888882444444444448888442222222244444444224444444488888888244444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-111111111111111-11111-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-11111-1-11-1111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-11111-1-11-1
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-11111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-11
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-1-1-1111-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-11111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-11
χ14111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-111-1-1-111-1-111-1-11-1111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-111-1-1-111-1-111-1-11-1
χ15111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-111-1-1111-1111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-111-1-1111-1
χ16111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-11
χ1722222222-22222-2-2-22222-2-2000000000000-20000-200000000000022222222-22222-2-2-22222-2-2000000000000-20000-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-200000000000020000200000000000022222222-22222-2-2-2-2-2-2-2-2-2000000000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22200000000000020000-200000000000022222222-2-2-2-2-2-2-2-222-2-22200000000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000-20000200000000000022222222-2-2-2-2-2-2-2-2-2-22222000000000000-200002000000000000
χ2122-22-22-2-2-200002-220000002i2i−2i−2i000022-2-20002i−2i000000000000022-22-22-2-2-200002-220000002i2i−2i−2i000022-2-20002i−2i0000000000000
χ2222-22-22-2-2-200002-220000002i2i−2i−2i0000-2-222000−2i2i000000000000022-22-22-2-2-200002-220000002i2i−2i−2i0000-2-222000−2i2i0000000000000
χ2322-22-22-2-2-200002-22000000−2i−2i2i2i000022-2-2000−2i2i000000000000022-22-22-2-2-200002-22000000−2i−2i2i2i000022-2-2000−2i2i0000000000000
χ2422-22-22-2-2-200002-22000000−2i−2i2i2i0000-2-2220002i−2i000000000000022-22-22-2-2-200002-22000000−2i−2i2i2i0000-2-2220002i−2i0000000000000
χ2522-2-22-2-2202i2i−2i−2i0002-22i−2i000000i2i2−i2−i22−22−2000000000000i2−i22−20022-2-22-2-2202i2i−2i−2i0002-22i−2i000000i2i2−i2−i22−22−2000000000000i2−i22−200
χ2622-2-22-2-2202i2i−2i−2i0002-22i−2i000000−i2−i2i2i2−22−22000000000000−i2i2−220022-2-22-2-2202i2i−2i−2i0002-22i−2i000000−i2−i2i2i2−22−22000000000000−i2i2−2200
χ2722-2-22-2-2202i2i−2i−2i000-22−2i2i000000i2i2−i2−i22−22−2000000000000−i2i2−220022-2-22-2-2202i2i−2i−2i000-22−2i2i000000i2i2−i2−i22−22−2000000000000−i2i2−2200
χ2822-2-22-2-2202i2i−2i−2i000-22−2i2i000000−i2−i2i2i2−22−22000000000000i2−i22−20022-2-22-2-2202i2i−2i−2i000-22−2i2i000000−i2−i2i2i2−22−22000000000000i2−i22−200
χ2922-2-22-2-220−2i−2i2i2i0002-2−2i2i000000i2i2−i2−i2−22−22000000000000i2−i2−220022-2-22-2-220−2i−2i2i2i0002-2−2i2i000000i2i2−i2−i2−22−22000000000000i2−i2−2200
χ3022-2-22-2-220−2i−2i2i2i0002-2−2i2i000000−i2−i2i2i22−22−2000000000000−i2i22−20022-2-22-2-220−2i−2i2i2i0002-2−2i2i000000−i2−i2i2i22−22−2000000000000−i2i22−200
χ3122-2-22-2-220−2i−2i2i2i000-222i−2i000000i2i2−i2−i2−22−22000000000000−i2i22−20022-2-22-2-220−2i−2i2i2i000-222i−2i000000i2i2−i2−i2−22−22000000000000−i2i22−200
χ3222-2-22-2-220−2i−2i2i2i000-222i−2i000000−i2−i2i2i22−22−2000000000000i2−i2−220022-2-22-2-220−2i−2i2i2i000-222i−2i000000−i2−i2i2i22−22−2000000000000i2−i2−2200
χ332-22-222-2-2-20000-2220000002i−2i2i−2i2-22-2000002i−2i0000000000000002-22-222-2-2-20000-2220000002i−2i2i−2i2-22-2000002i−2i000000000000000
χ342-22-222-2-2-20000-2220000002i−2i2i−2i-22-2200000−2i2i0000000000000002-22-222-2-2-20000-2220000002i−2i2i−2i-22-2200000−2i2i000000000000000
χ352-22-222-2-2-20000-222000000−2i2i−2i2i2-22-200000−2i2i0000000000000002-22-222-2-2-20000-222000000−2i2i−2i2i2-22-200000−2i2i000000000000000
χ362-22-222-2-2-20000-222000000−2i2i−2i2i-22-22000002i−2i0000000000000002-22-222-2-2-20000-222000000−2i2i−2i2i-22-22000002i−2i000000000000000
χ372-2-2-2-222222-22-2-2-2200002-22-2-22000000000000002-200000000002-2-2-2-222222-22-2-2-2200002-22-2-22000000000000002-20000000000
χ382-2-2-2-222222-22-2-2-2200002-2-222-200000000000000-2200000000002-2-2-2-222222-22-2-2-2200002-2-222-200000000000000-220000000000
χ392-2-2-2-22222-22-22-2-220000-222-2-2200000000000000-2200000000002-2-2-2-22222-22-22-2-220000-222-2-2200000000000000-220000000000
χ402-2-2-2-22222-22-22-2-220000-22-222-2000000000000002-200000000002-2-2-2-22222-22-22-2-220000-22-222-2000000000000002-20000000000
χ412-2-2-2-2222-22-22-222-20000-22000000000000000000002-22-20000002-2-2-2-2222-22-22-222-20000-22000000000000000000002-22-2000000
χ422-2-2-2-2222-22-22-222-20000-2200000000000000000000-22-220000002-2-2-2-2222-22-22-222-20000-2200000000000000000000-22-22000000
χ432-2-2-2-2222-2-22-2222-200002-2000000000000000000002-2-220000002-2-2-2-2222-2-22-2222-200002-2000000000000000000002-2-22000000
χ442-2-2-2-2222-2-22-2222-200002-200000000000000000000-222-20000002-2-2-2-2222-2-22-2222-200002-200000000000000000000-222-2000000
χ45444-4-4-44-4000000000000000000000022−22−2222000000000000000000444-4-4-44-4000000000000000000000022−22−2222000000000000000000
χ46444-4-4-44-40000000000000000000000−222222−22000000000000000000444-4-4-44-40000000000000000000000−222222−22000000000000000000
χ4744-44-44-4-440000-44-400000000000000000000000000000000000044-44-44-4-440000-44-4000000000000000000000000000000000000
χ484-444-4-4-4404i−4i−4i4i0000000000000000000000000000000000000004-444-4-4-4404i−4i−4i4i000000000000000000000000000000000000000
χ494-444-4-4-440−4i4i4i−4i0000000000000000000000000000000000000004-444-4-4-440−4i4i4i−4i000000000000000000000000000000000000000
χ504-44-444-4-4400004-4-40000000000000000000000000000000000004-44-444-4-4400004-4-4000000000000000000000000000000000000
χ514-4-444-44-40000000000000000002i2−2i2−2i22i200000000000000000000004-4-444-44-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ524-4-444-44-4000000000000000000−2i22i22i2−2i200000000000000000000004-4-444-44-4000000000000000000−2i22i22i2−2i20000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1111111
χ551111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ571111111111111111-1-1-1-111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1
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
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111
χ61111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-111-11
χ62111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-11111-1-111-1-11-1
χ63111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-111-1-1111-1
χ64111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-1-11111-1-1-11
χ65111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1-11-1
χ66111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-111-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-111-11
χ67111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-11111-111-1-11-1-111-1-111-1-1-11
χ68111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1
χ6922222222-22222-2-2-22222-2-2000000000000-20000-2000000000000-2-2-2-2-2-2-2-22-2-2-2-2222-2-2-2-222000000000000200002000000000000
χ7022222222-22222-2-2-2-2-2-2-2-2-2000000000000200002000000000000-2-2-2-2-2-2-2-22-2-2-2-2222222222000000000000-20000-2000000000000
χ7122222222-2-2-2-2-2-2-2-222-2-22200000000000020000-2000000000000-2-2-2-2-2-2-2-222222222-2-222-2-2000000000000-200002000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-22222000000000000-200002000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000020000-2000000000000
χ7322-22-22-2-2-200002-220000002i2i−2i−2i000022-2-20002i−2i0000000000000-2-22-22-22220000-22-2000000−2i−2i2i2i0000-2-222000−2i2i0000000000000
χ7422-22-22-2-2-200002-220000002i2i−2i−2i0000-2-222000−2i2i0000000000000-2-22-22-22220000-22-2000000−2i−2i2i2i000022-2-20002i−2i0000000000000
χ7522-22-22-2-2-200002-22000000−2i−2i2i2i000022-2-2000−2i2i0000000000000-2-22-22-22220000-22-20000002i2i−2i−2i0000-2-2220002i−2i0000000000000
χ7622-22-22-2-2-200002-22000000−2i−2i2i2i0000-2-2220002i−2i0000000000000-2-22-22-22220000-22-20000002i2i−2i−2i000022-2-2000−2i2i0000000000000
χ7722-2-22-2-2202i2i−2i−2i0002-22i−2i000000i2i2−i2−i22−22−2000000000000i2−i22−200-2-222-222-20−2i−2i2i2i000-22−2i2i000000−i2−i2i2i2−22−22000000000000−i2i2−2200
χ7822-2-22-2-2202i2i−2i−2i0002-22i−2i000000−i2−i2i2i2−22−22000000000000−i2i2−2200-2-222-222-20−2i−2i2i2i000-22−2i2i000000i2i2−i2−i22−22−2000000000000i2−i22−200
χ7922-2-22-2-2202i2i−2i−2i000-22−2i2i000000i2i2−i2−i22−22−2000000000000−i2i2−2200-2-222-222-20−2i−2i2i2i0002-22i−2i000000−i2−i2i2i2−22−22000000000000i2−i22−200
χ8022-2-22-2-2202i2i−2i−2i000-22−2i2i000000−i2−i2i2i2−22−22000000000000i2−i22−200-2-222-222-20−2i−2i2i2i0002-22i−2i000000i2i2−i2−i22−22−2000000000000−i2i2−2200
χ8122-2-22-2-220−2i−2i2i2i0002-2−2i2i000000i2i2−i2−i2−22−22000000000000i2−i2−2200-2-222-222-202i2i−2i−2i000-222i−2i000000−i2−i2i2i22−22−2000000000000−i2i22−200
χ8222-2-22-2-220−2i−2i2i2i0002-2−2i2i000000−i2−i2i2i22−22−2000000000000−i2i22−200-2-222-222-202i2i−2i−2i000-222i−2i000000i2i2−i2−i2−22−22000000000000i2−i2−2200
χ8322-2-22-2-220−2i−2i2i2i000-222i−2i000000i2i2−i2−i2−22−22000000000000−i2i22−200-2-222-222-202i2i−2i−2i0002-2−2i2i000000−i2−i2i2i22−22−2000000000000i2−i2−2200
χ8422-2-22-2-220−2i−2i2i2i000-222i−2i000000−i2−i2i2i22−22−2000000000000i2−i2−2200-2-222-222-202i2i−2i−2i0002-2−2i2i000000i2i2−i2−i2−22−22000000000000−i2i22−200
χ852-22-222-2-2-20000-2220000002i−2i2i−2i2-22-2000002i−2i000000000000000-22-22-2-222200002-2-2000000−2i2i−2i2i-22-2200000−2i2i000000000000000
χ862-22-222-2-2-20000-2220000002i−2i2i−2i-22-2200000−2i2i000000000000000-22-22-2-222200002-2-2000000−2i2i−2i2i2-22-2000002i−2i000000000000000
χ872-22-222-2-2-20000-222000000−2i2i−2i2i2-22-200000−2i2i000000000000000-22-22-2-222200002-2-20000002i−2i2i−2i-22-22000002i−2i000000000000000
χ882-22-222-2-2-20000-222000000−2i2i−2i2i-22-22000002i−2i000000000000000-22-22-2-222200002-2-20000002i−2i2i−2i2-22-200000−2i2i000000000000000
χ892-2-2-2-222222-22-2-2-2200002-22-2-22000000000000002-20000000000-22222-2-2-2-2-22-2222-20000-22-222-200000000000000-220000000000
χ902-2-2-2-222222-22-2-2-2200002-2-222-200000000000000-220000000000-22222-2-2-2-2-22-2222-20000-222-2-22000000000000002-20000000000
χ912-2-2-2-22222-22-22-2-220000-222-2-2200000000000000-220000000000-22222-2-2-2-22-22-222-200002-2-222-2000000000000002-20000000000
χ922-2-2-2-22222-22-22-2-220000-22-222-2000000000000002-20000000000-22222-2-2-2-22-22-222-200002-22-2-2200000000000000-220000000000
χ932-2-2-2-2222-22-22-222-20000-22000000000000000000002-22-2000000-22222-2-2-22-22-22-2-2200002-200000000000000000000-22-22000000
χ942-2-2-2-2222-22-22-222-20000-2200000000000000000000-22-22000000-22222-2-2-22-22-22-2-2200002-2000000000000000000002-22-2000000
χ952-2-2-2-2222-2-22-2222-200002-2000000000000000000002-2-22000000-22222-2-2-222-22-2-2-220000-2200000000000000000000-222-2000000
χ962-2-2-2-2222-2-22-2222-200002-200000000000000000000-222-2000000-22222-2-2-222-22-2-2-220000-22000000000000000000002-2-22000000
χ97444-4-4-44-4000000000000000000000022−22−2222000000000000000000-4-4-4444-440000000000000000000000−222222−22000000000000000000
χ98444-4-4-44-40000000000000000000000−222222−22000000000000000000-4-4-4444-44000000000000000000000022−22−2222000000000000000000
χ9944-44-44-4-440000-44-4000000000000000000000000000000000000-4-44-44-444-400004-44000000000000000000000000000000000000
χ1004-444-4-4-4404i−4i−4i4i000000000000000000000000000000000000000-44-4-4444-40−4i4i4i−4i000000000000000000000000000000000000000
χ1014-444-4-4-440−4i4i4i−4i000000000000000000000000000000000000000-44-4-4444-404i−4i−4i4i000000000000000000000000000000000000000
χ1024-44-444-4-4400004-4-4000000000000000000000000000000000000-44-44-4-444-40000-444000000000000000000000000000000000000
χ1034-4-444-44-40000000000000000002i2−2i2−2i22i20000000000000000000000-444-4-44-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ1044-4-444-44-4000000000000000000−2i22i22i2−2i20000000000000000000000-444-4-44-440000000000000000002i2−2i2−2i22i20000000000000000000000

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