Finite Group Databasebeta

← Group #6358317

Character table — Group #6358317

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222244444444444444488888888881616161616161111222222224444444444444448888888888161616161616
order12224444888844444888888888822244488882444882222444488884444488888888882224448888244488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111-1-1111-1-1-1-1-1-1-1-11-1111111-1-11-1-11-1-111111111111111-1-1111-1-1-1-1-1-1-1-11-1111111-1-11-1-11-1-1
χ411111111111111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-11111111111111111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-111
χ5111111111111-1-111111-1-1-1-1-1-1-1-1-111111-1-111-111-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-111111-1-111-111-1-1-1
χ6111111111111-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1111111111111111-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1111
χ7111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-111-111111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-111-1
χ1011111111-1-1-1-111111-1-11111-1-1-1-111-1-111-1-1-1-11-11-1-1111111111-1-1-1-111111-1-11111-1-1-1-111-1-111-1-1-1-11-11-1-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-111-1-1-1-111-1-111-1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-1-111-1-11111-1-11-111111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-111-1-111-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-111-1-111-1-1-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-111111-11-11-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-111111-11-11-1
χ1611111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-11-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-11-11
χ1722222-2-2222220000-2-2-200000000002-2-22000000000022222-2-2222220000-2-2-200000000002-2-220000000000
χ1822222-2-2222220000-2-2-20000000000-222-2000000000022222-2-2222220000-2-2-20000000000-222-20000000000
χ1922222-2-22-2-2-2-20000-22200000000002-22-2000000000022222-2-22-2-2-2-20000-22200000000002-22-20000000000
χ2022222-2-22-2-2-2-20000-2220000000000-22-22000000000022222-2-22-2-2-2-20000-2220000000000-22-220000000000
χ212222-222-200002222-20022-2-20000-2-2000000000000002222-222-200002222-20022-2-20000-2-200000000000000
χ222222-222-2000022-2-2-200-2-2220000-22000000000000002222-222-2000022-2-2-200-2-2220000-2200000000000000
χ232222-222-20000-2-222-200-2-22200002-2000000000000002222-222-20000-2-222-200-2-22200002-200000000000000
χ242222-222-20000-2-2-2-2-20022-2-2000022000000000000002222-222-20000-2-2-2-2-20022-2-200002200000000000000
χ2522-2-202-20i2i2−i2−i22i−2i2i−2i0i2−i22-200i2i2−i2−i20000002−22−200000022-2-202-20i2i2−i2−i22i−2i2i−2i0i2−i22-200i2i2−i2−i20000002−22−2000000
χ2622-2-202-20i2i2−i2−i22i−2i−2i2i0i2−i2-2200−i2−i2i2i20000002−2−2200000022-2-202-20i2i2−i2−i22i−2i−2i2i0i2−i2-2200−i2−i2i2i20000002−2−22000000
χ2722-2-202-20i2i2−i2−i2−2i2i2i−2i0i2−i2-2200−i2−i2i2i2000000−222−200000022-2-202-20i2i2−i2−i2−2i2i2i−2i0i2−i2-2200−i2−i2i2i2000000−222−2000000
χ2822-2-202-20i2i2−i2−i2−2i2i−2i2i0i2−i22-200i2i2−i2−i2000000−22−2200000022-2-202-20i2i2−i2−i2−2i2i−2i2i0i2−i22-200i2i2−i2−i2000000−22−22000000
χ2922-2-202-20−i2−i2i2i22i−2i2i−2i0−i2i22-200−i2−i2i2i2000000−22−2200000022-2-202-20−i2−i2i2i22i−2i2i−2i0−i2i22-200−i2−i2i2i2000000−22−22000000
χ3022-2-202-20−i2−i2i2i22i−2i−2i2i0−i2i2-2200i2i2−i2−i2000000−222−200000022-2-202-20−i2−i2i2i22i−2i−2i2i0−i2i2-2200i2i2−i2−i2000000−222−2000000
χ3122-2-202-20−i2−i2i2i2−2i2i2i−2i0−i2i2-2200i2i2−i2−i20000002−2−2200000022-2-202-20−i2−i2i2i2−2i2i2i−2i0−i2i2-2200i2i2−i2−i20000002−2−22000000
χ3222-2-202-20−i2−i2i2i2−2i2i−2i2i0−i2i22-200−i2−i2i2i20000002−22−200000022-2-202-20−i2−i2i2i2−2i2i−2i2i0−i2i22-200−i2−i2i2i20000002−22−2000000
χ334444-4-4-4-4000000004000000000000000000000000004444-4-4-4-400000000400000000000000000000000000
χ3444-4-40-4402i22i2−2i2−2i200000−2i22i200000000000000000000000044-4-40-4402i22i2−2i2−2i200000−2i22i2000000000000000000000000
χ3544-4-40-440−2i2−2i22i22i2000002i2−2i200000000000000000000000044-4-40-440−2i2−2i22i22i2000002i2−2i2000000000000000000000000
χ364-44-400002i2−2i22i2−2i20000000002i2−2i22-22-200000000000000004-44-400002i2−2i22i2−2i20000000002i2−2i22-22-20000000000000000
χ374-44-400002i2−2i22i2−2i2000000000−2i22i2-22-2200000000000000004-44-400002i2−2i22i2−2i2000000000−2i22i2-22-220000000000000000
χ384-44-40000−2i22i2−2i22i20000000002i2−2i2-22-2200000000000000004-44-40000−2i22i2−2i22i20000000002i2−2i2-22-220000000000000000
χ394-44-40000−2i22i2−2i22i2000000000−2i22i22-22-200000000000000004-44-40000−2i22i2−2i22i2000000000−2i22i22-22-20000000000000000
χ404-4-44400-40000000000000002i2−2i2−2i22i200000000000000004-4-44400-40000000000000002i2−2i2−2i22i20000000000000000
χ414-4-44400-4000000000000000−2i22i22i2−2i200000000000000004-4-44400-4000000000000000−2i22i22i2−2i20000000000000000
χ424-4-44-40044-4-4400000000000000000000000000000004-4-44-40044-4-440000000000000000000000000000000
χ434-4-44-4004-444-400000000000000000000000000000004-4-44-4004-444-40000000000000000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4511111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ4611111111111111-1-1111-1-1-1-1-1-1-1-11-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-11-1-1-1-1-1-111-111-111
χ4711111111111111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-111111-1-1111-1-11-1-1
χ48111111111111-1-111111-1-1-1-1-1-1-1-1-111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-1-1-1-1-111-1-11-1-1111
χ49111111111111-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-1111111-1-1-111-1-1-1
χ50111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ5211111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-11-1-11
χ5311111111-1-1-1-111111-1-11111-1-1-1-111-1-111-1-1-1-11-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-11-111-1
χ5411111111-1-1-1-111-1-11-1-1-1-1-1-111111-111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-111-1111111-1-1-1-1-11-1-11111-1-111-1-11-1
χ5511111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1111111-1-1-1-1-1111-1-111-1-1-1-111-11
χ5611111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1111-1
χ5711111111-1-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ5811111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-111111-11-11-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-111-1-1-1-1-11-11-11
χ5911111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-1-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1-11-11-11-1
χ6022222-2-2222220000-2-2-200000000002-2-220000000000-2-2-2-2-222-2-2-2-2-200002220000000000-222-20000000000
χ6122222-2-2222220000-2-2-20000000000-222-20000000000-2-2-2-2-222-2-2-2-2-2000022200000000002-2-220000000000
χ6222222-2-22-2-2-2-20000-22200000000002-22-20000000000-2-2-2-2-222-2222200002-2-20000000000-22-220000000000
χ6322222-2-22-2-2-2-20000-2220000000000-22-220000000000-2-2-2-2-222-2222200002-2-200000000002-22-20000000000
χ642222-222-200002222-20022-2-20000-2-200000000000000-2-2-2-22-2-220000-2-2-2-2200-2-22200002200000000000000
χ652222-222-2000022-2-2-200-2-2220000-2200000000000000-2-2-2-22-2-220000-2-22220022-2-200002-200000000000000
χ662222-222-20000-2-222-200-2-22200002-200000000000000-2-2-2-22-2-22000022-2-220022-2-20000-2200000000000000
χ672222-222-20000-2-2-2-2-20022-2-200002200000000000000-2-2-2-22-2-2200002222200-2-2220000-2-200000000000000
χ6822-2-202-20i2i2−i2−i22i−2i2i−2i0i2−i22-200i2i2−i2−i20000002−22−2000000-2-2220-220−i2−i2i2i2−2i2i−2i2i0−i2i2-2200−i2−i2i2i2000000−22−22000000
χ6922-2-202-20i2i2−i2−i22i−2i−2i2i0i2−i2-2200−i2−i2i2i20000002−2−22000000-2-2220-220−i2−i2i2i2−2i2i2i−2i0−i2i22-200i2i2−i2−i2000000−222−2000000
χ7022-2-202-20i2i2−i2−i2−2i2i2i−2i0i2−i2-2200−i2−i2i2i2000000−222−2000000-2-2220-220−i2−i2i2i22i−2i−2i2i0−i2i22-200i2i2−i2−i20000002−2−22000000
χ7122-2-202-20i2i2−i2−i2−2i2i−2i2i0i2−i22-200i2i2−i2−i2000000−22−22000000-2-2220-220−i2−i2i2i22i−2i2i−2i0−i2i2-2200−i2−i2i2i20000002−22−2000000
χ7222-2-202-20−i2−i2i2i22i−2i2i−2i0−i2i22-200−i2−i2i2i2000000−22−22000000-2-2220-220i2i2−i2−i2−2i2i−2i2i0i2−i2-2200i2i2−i2−i20000002−22−2000000
χ7322-2-202-20−i2−i2i2i22i−2i−2i2i0−i2i2-2200i2i2−i2−i2000000−222−2000000-2-2220-220i2i2−i2−i2−2i2i2i−2i0i2−i22-200−i2−i2i2i20000002−2−22000000
χ7422-2-202-20−i2−i2i2i2−2i2i2i−2i0−i2i2-2200i2i2−i2−i20000002−2−22000000-2-2220-220i2i2−i2−i22i−2i−2i2i0i2−i22-200−i2−i2i2i2000000−222−2000000
χ7522-2-202-20−i2−i2i2i2−2i2i−2i2i0−i2i22-200−i2−i2i2i20000002−22−2000000-2-2220-220i2i2−i2−i22i−2i2i−2i0i2−i2-2200i2i2−i2−i2000000−22−22000000
χ764444-4-4-4-400000000400000000000000000000000000-4-4-4-4444400000000-400000000000000000000000000
χ7744-4-40-4402i22i2−2i2−2i200000−2i22i2000000000000000000000000-4-44404-40−2i2−2i22i22i2000002i2−2i2000000000000000000000000
χ7844-4-40-440−2i2−2i22i22i2000002i2−2i2000000000000000000000000-4-44404-402i22i2−2i2−2i200000−2i22i2000000000000000000000000
χ794-44-400002i2−2i22i2−2i20000000002i2−2i22-22-20000000000000000-44-440000−2i22i2−2i22i2000000000−2i22i2-22-220000000000000000
χ804-44-400002i2−2i22i2−2i2000000000−2i22i2-22-220000000000000000-44-440000−2i22i2−2i22i20000000002i2−2i22-22-20000000000000000
χ814-44-40000−2i22i2−2i22i20000000002i2−2i2-22-220000000000000000-44-4400002i2−2i22i2−2i2000000000−2i22i22-22-20000000000000000
χ824-44-40000−2i22i2−2i22i2000000000−2i22i22-22-20000000000000000-44-4400002i2−2i22i2−2i20000000002i2−2i2-22-220000000000000000
χ834-4-44400-40000000000000002i2−2i2−2i22i20000000000000000-444-4-4004000000000000000−2i22i22i2−2i20000000000000000
χ844-4-44400-4000000000000000−2i22i22i2−2i20000000000000000-444-4-40040000000000000002i2−2i2−2i22i20000000000000000
χ854-4-44-40044-4-440000000000000000000000000000000-444-4400-4-444-40000000000000000000000000000000
χ864-4-44-4004-444-40000000000000000000000000000000-444-4400-44-4-440000000000000000000000000000000

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