Finite Group Databasebeta

← Group #283889

Character table — Group #283889

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888222244444488888888244444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11111-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-1111-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-111-111-1-1-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-111111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-111-11
χ17222222222-2-22-222-200000000-22222-200002222-2-2-2-200000000-2-2-2-200002200000000000000000000
χ18222222222-2-22-222-200000000-22222-20000-2-2-2-2222200000000-2-2220000-2-200000000000000000000
χ19222222222-2-22-222-200000000-2-2-2-2-2-200002222-2-2-2-20000000022220000-2-200000000000000000000
χ20222222222-2-22-222-200000000-2-2-2-2-2-20000-2-2-2-222220000000022-2-200002200000000000000000000
χ2122222222-222-22-2-2222222222-20000-2-2-2-2-20000000000000000000022220000000000-20000-2000000
χ2222222222-222-22-2-2222222222-20000-2-2-2-2-200000000000000000000-2-2-2-20000000000200002000000
χ2322222222-222-22-2-22-2-2-2-2-2-2-2-2-20000-222220000000000000000000022-2-2000000000020000-2000000
χ2422222222-222-22-2-22-2-2-2-2-2-2-2-2-20000-2222200000000000000000000-2-2220000000000-200002000000
χ2522-222-2-2-2-200202-20i2i2i2i2−i2−i2−i2−i202i2i−2i−2i0i2i2−i2−i222-2-20000i2i2i2i2−i2−i2−i2−i2000000002i−2i22−2−222−2−2000000000000
χ2622-222-2-2-2-200202-20i2i2i2i2−i2−i2−i2−i202i2i−2i−2i0i2i2−i2−i2-2-2220000−i2−i2−i2−i2i2i2i2i200000000−2i2i22−2−2−2−222000000000000
χ2722-222-2-2-2-200202-20i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i0i2i2−i2−i222-2-20000i2i2i2i2−i2−i2−i2−i200000000−2i2i−2−222−2−222000000000000
χ2822-222-2-2-2-200202-20i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i0i2i2−i2−i2-2-2220000−i2−i2−i2−i2i2i2i2i2000000002i−2i−2−22222−2−2000000000000
χ2922-222-2-2-2-200202-20−i2−i2−i2−i2i2i2i2i202i2i−2i−2i0−i2−i2i2i222-2-20000−i2−i2−i2−i2i2i2i2i2000000002i−2i−2−222−2−222000000000000
χ3022-222-2-2-2-200202-20−i2−i2−i2−i2i2i2i2i202i2i−2i−2i0−i2−i2i2i2-2-2220000i2i2i2i2−i2−i2−i2−i200000000−2i2i−2−22222−2−2000000000000
χ3122-222-2-2-2-200202-20−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i0−i2−i2i2i222-2-20000−i2−i2−i2−i2i2i2i2i200000000−2i2i22−2−222−2−2000000000000
χ3222-222-2-2-2-200202-20−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i0−i2−i2i2i2-2-2220000i2i2i2i2−i2−i2−i2−i2000000002i−2i22−2−2−2−222000000000000
χ332-222-2-2-2220020-2-2022−2−222−2−202i−2i2i−2i02−22−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2002-2000000i2−i2i2−i22−22−2000000000000
χ342-222-2-2-2220020-2-2022−2−222−2−202i−2i2i−2i02−22−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i200-22000000i2−i2i2−i2−22−22000000000000
χ352-222-2-2-2220020-2-2022−2−222−2−20−2i2i−2i2i02−22−200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i200-22000000−i2i2−i2i2−22−22000000000000
χ362-222-2-2-2220020-2-2022−2−222−2−20−2i2i−2i2i02−22−20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2002-2000000−i2i2−i2i22−22−2000000000000
χ372-222-2-2-2220020-2-20−2−222−2−22202i−2i2i−2i0−22−2200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2002-2000000−i2i2−i2i2−22−22000000000000
χ382-222-2-2-2220020-2-20−2−222−2−22202i−2i2i−2i0−22−220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i200-22000000−i2i2−i2i22−22−2000000000000
χ392-222-2-2-2220020-2-20−2−222−2−2220−2i2i−2i2i0−22−2200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i200-22000000i2−i2i2−i22−22−2000000000000
χ402-222-2-2-2220020-2-20−2−222−2−2220−2i2i−2i2i0−22−220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2002-2000000i2−i2i2−i2−22−22000000000000
χ412-22-222-2-202-20200-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002-22i−2i0000000000000000i2−i22−200
χ422-22-222-2-202-20200-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000-22−2i2i0000000000000000−i2i2−2200
χ432-22-222-2-202-20200-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002-22i−2i0000000000000000−i2i2−2200
χ442-22-222-2-202-20200-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000-22−2i2i0000000000000000i2−i22−200
χ452-22-222-2-202-20200-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002-2−2i2i0000000000000000−i2i22−200
χ462-22-222-2-202-20200-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000-222i−2i0000000000000000i2−i2−2200
χ472-22-222-2-202-20200-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200002-2−2i2i0000000000000000i2−i2−2200
χ482-22-222-2-202-20200-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000-222i−2i0000000000000000−i2i22−200
χ492-2-22-222-2222-2-22-2-22i2i−2i−2i−2i−2i2i2i-200002−2i2i2i−2i000000000000000000000000000000000002i−2i2-20000000
χ502-2-22-222-2222-2-22-2-22i2i−2i−2i−2i−2i2i2i-200002−2i2i2i−2i00000000000000000000000000000000000−2i2i-220000000
χ512-2-22-222-2222-2-22-2-2−2i−2i2i2i2i2i−2i−2i-2000022i−2i−2i2i000000000000000000000000000000000002i−2i-220000000
χ522-2-22-222-2222-2-22-2-2−2i−2i2i2i2i2i−2i−2i-2000022i−2i−2i2i00000000000000000000000000000000000−2i2i2-20000000
χ532-2-22-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i22-2-22-22i−2i−2i2i00000000000000002-200000000−2i2i2i−2i0000000000000000
χ542-2-22-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i2-222-2-22i−2i−2i2i0000000000000000-22000000002i−2i−2i2i0000000000000000
χ552-2-22-222-2-2222-2-22-2−2i−2i2i2i2i2i−2i−2i22-2-22-2−2i2i2i−2i00000000000000002-2000000002i−2i−2i2i0000000000000000
χ562-2-22-222-2-2222-2-22-2−2i−2i2i2i2i2i−2i−2i2-222-2-2−2i2i2i−2i0000000000000000-2200000000−2i2i2i−2i0000000000000000
χ572-2-22-222-2-2-2-222-22200000000-22-2-22200000000000022-2-2-2-222-220000000000002-2-22000000000000
χ582-2-22-222-2-2-2-222-22200000000-22-2-222000000000000-2-22222-2-2-22000000000000-222-2000000000000
χ592-2-22-222-2-2-2-222-22200000000-2-222-2200000000000022-2-2-2-2222-2000000000000-222-2000000000000
χ602-2-22-222-2-2-2-222-22200000000-2-222-22000000000000-2-22222-2-22-20000000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-4-44-4000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000002i2−2i2−2i22i2-222-2-222-2000000000000000000000000000000
χ63444-4-4-44-4000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000−2i22i22i2−2i22-2-222-2-22000000000000000000000000000000
χ64444-4-4-44-400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000002i2−2i2−2i22i22-2-222-2-22000000000000000000000000000000
χ65444-4-4-44-400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000−2i22i22i2−2i2-222-2-222-2000000000000000000000000000000
χ6644-444-4-4-4400-40-4402i22i22i22i2−2i2−2i2−2i2−2i2000000−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ6744-444-4-4-4400-40-440−2i2−2i2−2i2−2i22i22i22i22i20000002i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ6844-4-4-44-4404-40-40044-4-44-444-400000000000000000000000000000000000000000000000000000000
χ6944-4-4-44-4404-40-4004-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ7044-4-4-44-440-440400-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ7144-4-4-44-440-440400-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ724-444-4-4-44-400-404402222−22−222222−22−22000000−2222−22220000000000000000000000000000000000000000000000
χ734-444-4-4-44-400-40440−22−222222−22−22222200000022−2222−220000000000000000000000000000000000000000000000
χ744-44-444-4-40-440-400400000000000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ754-44-444-4-40-440-4004000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ764-4-44-444-44-4-4-444-440000000040000-400000000000000000000000000000000000000000000000000
χ774-4-4-44-4440000000022−2222−22−2222−2222000000000022−22−222200002-22-2-22-22000000000000000000000000000000
χ784-4-4-44-4440000000022−2222−22−2222−22220000000000−222222−220000-22-222-22-2000000000000000000000000000000
χ794-4-4-44-44400000000−2222−222222−2222−22000000000022−22−22220000-22-222-22-2000000000000000000000000000000
χ804-4-4-44-44400000000−2222−222222−2222−220000000000−222222−2200002-22-2-22-22000000000000000000000000000000

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