Finite Group Databasebeta

← Group #6441313

Character table — Group #6441313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882224444444448888442222222244444444444444444488888888222444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ51111111111111111-1-1-1-111111111111111-111-111-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111111111111111-111-111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-111111-1-11111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111-11111111111-1-1-1-111111-1-11111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111-11
χ10111111111-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1111111111-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-1
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-11
χ13111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1
χ14111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11
χ15111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-11
χ16111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-1111-1111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-1111-1
χ1722222222-22222-2-2-222220000-2-200000000-200-20000000000000022222222-22222-2-2-222220000-2-200000000-200-200000000000000
χ1822222222-22222-2-2-2-2-2-2-20000-2-20000000020020000000000000022222222-22222-2-2-2-2-2-2-20000-2-200000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-200002200000000-20020000000000000022222222-2-2-2-2-2-2-2-222-2-200002200000000-200200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200002200000000200-20000000000000022222222-2-2-2-2-2-2-2-2-2-22200002200000000200-200000000000000
χ2122-22-2-2-2222i2i−2i−2i-2-22000000002i−2i000000000000002i−2i2-20000000022-22-2-2-2222i2i−2i−2i-2-22000000002i−2i000000000000002i−2i2-200000000
χ2222-22-2-2-2222i2i−2i−2i-2-22000000002i−2i00000000000000−2i2i-220000000022-22-2-2-2222i2i−2i−2i-2-22000000002i−2i00000000000000−2i2i-2200000000
χ2322-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i000000000000002i−2i-220000000022-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i000000000000002i−2i-2200000000
χ2422-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i00000000000000−2i2i2-20000000022-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i00000000000000−2i2i2-200000000
χ2522-22-2-2-22-22i2i−2i−2i22-200002i2i−2i−2i−2i2i0000000002-200000000000000022-22-2-2-22-22i2i−2i−2i22-200002i2i−2i−2i−2i2i0000000002-2000000000000000
χ2622-22-2-2-22-22i2i−2i−2i22-20000−2i−2i2i2i−2i2i000000000-2200000000000000022-22-2-2-22-22i2i−2i−2i22-20000−2i−2i2i2i−2i2i000000000-22000000000000000
χ2722-22-2-2-22-2−2i−2i2i2i22-200002i2i−2i−2i2i−2i000000000-2200000000000000022-22-2-2-22-2−2i−2i2i2i22-200002i2i−2i−2i2i−2i000000000-22000000000000000
χ2822-22-2-2-22-2−2i−2i2i2i22-20000−2i−2i2i2i2i−2i0000000002-200000000000000022-22-2-2-22-2−2i−2i2i2i22-20000−2i−2i2i2i2i−2i0000000002-2000000000000000
χ2922-2-22-22-202i−2i2i−2i0002i−2i2-2000000i2i2−i2−i222−2−2000000000000i2−i22−20022-2-22-22-202i−2i2i−2i0002i−2i2-2000000i2i2−i2−i222−2−2000000000000i2−i22−200
χ3022-2-22-22-202i−2i2i−2i0002i−2i2-2000000−i2−i2i2i2−2−222000000000000−i2i2−220022-2-22-22-202i−2i2i−2i0002i−2i2-2000000−i2−i2i2i2−2−222000000000000−i2i2−2200
χ3122-2-22-22-202i−2i2i−2i000−2i2i-22000000i2i2−i2−i222−2−2000000000000−i2i2−220022-2-22-22-202i−2i2i−2i000−2i2i-22000000i2i2−i2−i222−2−2000000000000−i2i2−2200
χ3222-2-22-22-202i−2i2i−2i000−2i2i-22000000−i2−i2i2i2−2−222000000000000i2−i22−20022-2-22-22-202i−2i2i−2i000−2i2i-22000000−i2−i2i2i2−2−222000000000000i2−i22−200
χ3322-2-22-22-20−2i2i−2i2i0002i−2i-22000000i2i2−i2−i2−2−222000000000000−i2i22−20022-2-22-22-20−2i2i−2i2i0002i−2i-22000000i2i2−i2−i2−2−222000000000000−i2i22−200
χ3422-2-22-22-20−2i2i−2i2i0002i−2i-22000000−i2−i2i2i222−2−2000000000000i2−i2−220022-2-22-22-20−2i2i−2i2i0002i−2i-22000000−i2−i2i2i222−2−2000000000000i2−i2−2200
χ3522-2-22-22-20−2i2i−2i2i000−2i2i2-2000000i2i2−i2−i2−2−222000000000000i2−i2−220022-2-22-22-20−2i2i−2i2i000−2i2i2-2000000i2i2−i2−i2−2−222000000000000i2−i2−2200
χ3622-2-22-22-20−2i2i−2i2i000−2i2i2-2000000−i2−i2i2i222−2−2000000000000−i2i22−20022-2-22-22-20−2i2i−2i2i000−2i2i2-2000000−i2−i2i2i222−2−2000000000000−i2i22−200
χ372-2222-2-2-2-200002-2200002i−2i2i−2i0000002-22-200000000002i−2i0000002-2222-2-2-2-200002-2200002i−2i2i−2i0000002-22-200000000002i−2i000000
χ382-2222-2-2-2-200002-2200002i−2i2i−2i000000-22-220000000000−2i2i0000002-2222-2-2-2-200002-2200002i−2i2i−2i000000-22-220000000000−2i2i000000
χ392-2222-2-2-2-200002-220000−2i2i−2i2i0000002-22-20000000000−2i2i0000002-2222-2-2-2-200002-220000−2i2i−2i2i0000002-22-20000000000−2i2i000000
χ402-2222-2-2-2-200002-220000−2i2i−2i2i000000-22-2200000000002i−2i0000002-2222-2-2-2-200002-220000−2i2i−2i2i000000-22-2200000000002i−2i000000
χ412-2-22-222-2200002-2-200002-2-22002i−2i2i−2i000000002i−2i0000000000002-2-22-222-2200002-2-200002-2-22002i−2i2i−2i000000002i−2i000000000000
χ422-2-22-222-2200002-2-200002-2-2200−2i2i−2i2i00000000−2i2i0000000000002-2-22-222-2200002-2-200002-2-2200−2i2i−2i2i00000000−2i2i000000000000
χ432-2-22-222-2200002-2-20000-222-2002i−2i2i−2i00000000−2i2i0000000000002-2-22-222-2200002-2-20000-222-2002i−2i2i−2i00000000−2i2i000000000000
χ442-2-22-222-2200002-2-20000-222-200−2i2i−2i2i000000002i−2i0000000000002-2-22-222-2200002-2-20000-222-200−2i2i−2i2i000000002i−2i000000000000
χ45444-4-44-4-404-4-44000000000000000000000000000000000000000444-4-44-4-404-4-44000000000000000000000000000000000000000
χ46444-4-44-4-40-444-4000000000000000000000000000000000000000444-4-44-4-40-444-4000000000000000000000000000000000000000
χ474-4444-4-4-440000-44-40000000000000000000000000000000000004-4444-4-4-440000-44-4000000000000000000000000000000000000
χ484-44-4-4-44400000000000000000022−22−222200000000000000000000004-44-4-4-44400000000000000000022−22−22220000000000000000000000
χ494-44-4-4-444000000000000000000−222222−2200000000000000000000004-44-4-4-444000000000000000000−222222−220000000000000000000000
χ504-4-44-444-4-40000-4440000000000000000000000000000000000004-4-44-444-4-40000-444000000000000000000000000000000000000
χ514-4-4-444-44000000000000000000000022−22−22220000000000000000004-4-4-444-44000000000000000000000022−22−2222000000000000000000
χ524-4-4-444-440000000000000000000000−222222−220000000000000000004-4-4-444-440000000000000000000000−222222−22000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111
χ5511111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111
χ5611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-1-1-11111-1-11111-1-1
χ571111111111111111-1-1-1-111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1
χ591111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ601111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111-1-1-1-111111-1-11111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-1-1-1111111-1-11-1
χ62111111111-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-1-111-11
χ63111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-11111-1-1-111111-1-1-1-111-1-1-11
χ64111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1-111-1-1111-1
χ65111111111-1-1-1-1111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-111-1-111-11
χ66111111111-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-11111-1-1-1-111-1-11-1
χ67111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-111111-1-1-111-1-111-1-1-1-1111-1
χ68111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1111111-1-1-11
χ6922222222-22222-2-2-222220000-2-200000000-200-200000000000000-2-2-2-2-2-2-2-22-2-2-2-2222-2-2-2-200002200000000200200000000000000
χ7022222222-22222-2-2-2-2-2-2-20000-2-200000000200200000000000000-2-2-2-2-2-2-2-22-2-2-2-2222222200002200000000-200-200000000000000
χ7122222222-2-2-2-2-2-2-2-222-2-200002200000000-200200000000000000-2-2-2-2-2-2-2-222222222-2-2220000-2-200000000200-200000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-22200002200000000200-200000000000000-2-2-2-2-2-2-2-22222222222-2-20000-2-200000000-200200000000000000
χ7322-22-2-2-2222i2i−2i−2i-2-22000000002i−2i000000000000002i−2i2-200000000-2-22-2222-2-2−2i−2i2i2i22-200000000−2i2i00000000000000−2i2i-2200000000
χ7422-22-2-2-2222i2i−2i−2i-2-22000000002i−2i00000000000000−2i2i-2200000000-2-22-2222-2-2−2i−2i2i2i22-200000000−2i2i000000000000002i−2i2-200000000
χ7522-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i000000000000002i−2i-2200000000-2-22-2222-2-22i2i−2i−2i22-2000000002i−2i00000000000000−2i2i2-200000000
χ7622-22-2-2-222−2i−2i2i2i-2-2200000000−2i2i00000000000000−2i2i2-200000000-2-22-2222-2-22i2i−2i−2i22-2000000002i−2i000000000000002i−2i-2200000000
χ7722-22-2-2-22-22i2i−2i−2i22-200002i2i−2i−2i−2i2i0000000002-2000000000000000-2-22-2222-22−2i−2i2i2i-2-220000−2i−2i2i2i2i−2i000000000-22000000000000000
χ7822-22-2-2-22-22i2i−2i−2i22-20000−2i−2i2i2i−2i2i000000000-22000000000000000-2-22-2222-22−2i−2i2i2i-2-2200002i2i−2i−2i2i−2i0000000002-2000000000000000
χ7922-22-2-2-22-2−2i−2i2i2i22-200002i2i−2i−2i2i−2i000000000-22000000000000000-2-22-2222-222i2i−2i−2i-2-220000−2i−2i2i2i−2i2i0000000002-2000000000000000
χ8022-22-2-2-22-2−2i−2i2i2i22-20000−2i−2i2i2i2i−2i0000000002-2000000000000000-2-22-2222-222i2i−2i−2i-2-2200002i2i−2i−2i−2i2i000000000-22000000000000000
χ8122-2-22-22-202i−2i2i−2i0002i−2i2-2000000i2i2−i2−i222−2−2000000000000i2−i22−200-2-222-22-220−2i2i−2i2i000−2i2i-22000000−i2−i2i2i2−2−222000000000000−i2i2−2200
χ8222-2-22-22-202i−2i2i−2i0002i−2i2-2000000−i2−i2i2i2−2−222000000000000−i2i2−2200-2-222-22-220−2i2i−2i2i000−2i2i-22000000i2i2−i2−i222−2−2000000000000i2−i22−200
χ8322-2-22-22-202i−2i2i−2i000−2i2i-22000000i2i2−i2−i222−2−2000000000000−i2i2−2200-2-222-22-220−2i2i−2i2i0002i−2i2-2000000−i2−i2i2i2−2−222000000000000i2−i22−200
χ8422-2-22-22-202i−2i2i−2i000−2i2i-22000000−i2−i2i2i2−2−222000000000000i2−i22−200-2-222-22-220−2i2i−2i2i0002i−2i2-2000000i2i2−i2−i222−2−2000000000000−i2i2−2200
χ8522-2-22-22-20−2i2i−2i2i0002i−2i-22000000i2i2−i2−i2−2−222000000000000−i2i22−200-2-222-22-2202i−2i2i−2i000−2i2i2-2000000−i2−i2i2i222−2−2000000000000i2−i2−2200
χ8622-2-22-22-20−2i2i−2i2i0002i−2i-22000000−i2−i2i2i222−2−2000000000000i2−i2−2200-2-222-22-2202i−2i2i−2i000−2i2i2-2000000i2i2−i2−i2−2−222000000000000−i2i22−200
χ8722-2-22-22-20−2i2i−2i2i000−2i2i2-2000000i2i2−i2−i2−2−222000000000000i2−i2−2200-2-222-22-2202i−2i2i−2i0002i−2i-22000000−i2−i2i2i222−2−2000000000000−i2i22−200
χ8822-2-22-22-20−2i2i−2i2i000−2i2i2-2000000−i2−i2i2i222−2−2000000000000−i2i22−200-2-222-22-2202i−2i2i−2i0002i−2i-22000000i2i2−i2−i2−2−222000000000000i2−i2−2200
χ892-2222-2-2-2-200002-2200002i−2i2i−2i0000002-22-200000000002i−2i000000-22-2-2-222220000-22-20000−2i2i−2i2i000000-22-220000000000−2i2i000000
χ902-2222-2-2-2-200002-2200002i−2i2i−2i000000-22-220000000000−2i2i000000-22-2-2-222220000-22-20000−2i2i−2i2i0000002-22-200000000002i−2i000000
χ912-2222-2-2-2-200002-220000−2i2i−2i2i0000002-22-20000000000−2i2i000000-22-2-2-222220000-22-200002i−2i2i−2i000000-22-2200000000002i−2i000000
χ922-2222-2-2-2-200002-220000−2i2i−2i2i000000-22-2200000000002i−2i000000-22-2-2-222220000-22-200002i−2i2i−2i0000002-22-20000000000−2i2i000000
χ932-2-22-222-2200002-2-200002-2-22002i−2i2i−2i000000002i−2i000000000000-222-22-2-22-20000-2220000-222-200−2i2i−2i2i00000000−2i2i000000000000
χ942-2-22-222-2200002-2-200002-2-2200−2i2i−2i2i00000000−2i2i000000000000-222-22-2-22-20000-2220000-222-2002i−2i2i−2i000000002i−2i000000000000
χ952-2-22-222-2200002-2-20000-222-2002i−2i2i−2i00000000−2i2i000000000000-222-22-2-22-20000-22200002-2-2200−2i2i−2i2i000000002i−2i000000000000
χ962-2-22-222-2200002-2-20000-222-200−2i2i−2i2i000000002i−2i000000000000-222-22-2-22-20000-22200002-2-22002i−2i2i−2i00000000−2i2i000000000000
χ97444-4-44-4-404-4-44000000000000000000000000000000000000000-4-4-444-4440-444-4000000000000000000000000000000000000000
χ98444-4-44-4-40-444-4000000000000000000000000000000000000000-4-4-444-44404-4-44000000000000000000000000000000000000000
χ994-4444-4-4-440000-44-4000000000000000000000000000000000000-44-4-4-4444-400004-44000000000000000000000000000000000000
χ1004-44-4-4-44400000000000000000022−22−22220000000000000000000000-44-4444-4-4000000000000000000−222222−220000000000000000000000
χ1014-44-4-4-444000000000000000000−222222−220000000000000000000000-44-4444-4-400000000000000000022−22−22220000000000000000000000
χ1024-4-44-444-4-40000-444000000000000000000000000000000000000-444-44-4-44400004-4-4000000000000000000000000000000000000
χ1034-4-4-444-44000000000000000000000022−22−2222000000000000000000-4444-4-44-40000000000000000000000−222222−22000000000000000000
χ1044-4-4-444-440000000000000000000000−222222−22000000000000000000-4444-4-44-4000000000000000000000022−22−2222000000000000000000

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