Finite Group Databasebeta

← Group #288049

Character table — Group #288049

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888222244888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1111111-1-11-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1111-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1111-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-111-1-1-1111-1-1-11
χ17222222222-2-22-222-222222222-20000-2-2-2-2-200000000000000000000002222000000000000-2-2000000
χ18222222222-2-22-222-222222222-20000-2-2-2-2-20000000000000000000000-2-2-2-200000000000022000000
χ19222222222-2-22-222-2-2-2-2-2-2-2-2-2-20000-22222000000000000000000000022-2-2000000000000-22000000
χ20222222222-2-22-222-2-2-2-2-2-2-2-2-2-20000-222220000000000000000000000-2-2220000000000002-2000000
χ2122222222-222-22-2-2200000000-22222-200002222-2-2-2-200000000-2-2-2-222000000000000000000000000
χ2222222222-222-22-2-2200000000-22222-20000-2-2-2-222220000000022-2-2-2-2000000000000000000000000
χ2322222222-222-22-2-2200000000-2-2-2-2-2-200002222-2-2-2-2000000002222-2-2000000000000000000000000
χ2422222222-222-22-2-2200000000-2-2-2-2-2-20000-2-2-2-2222200000000-2-22222000000000000000000000000
χ2522-22-2-2-2202-20200-22222−2−2−2−202i2i−2i−2i022−2−222-2-200002222−2−2−2−200002i−2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ2622-22-2-2-2202-20200-22222−2−2−2−202i2i−2i−2i022−2−2-2-2220000−2−2−2−222220000−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ2722-22-2-2-2202-20200-22222−2−2−2−20−2i−2i2i2i022−2−222-2-200002222−2−2−2−20000−2i2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-22-2-2-2202-20200-22222−2−2−2−20−2i−2i2i2i022−2−2-2-2220000−2−2−2−2222200002i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ2922-22-2-2-2202-20200-2−2−2−2−2222202i2i−2i−2i0−2−22222-2-20000−2−2−2−2222200002i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000
χ3022-22-2-2-2202-20200-2−2−2−2−2222202i2i−2i−2i0−2−222-2-22200002222−2−2−2−20000−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ3122-22-2-2-2202-20200-2−2−2−2−222220−2i−2i2i2i0−2−22222-2-20000−2−2−2−222220000−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000
χ3222-22-2-2-2202-20200-2−2−2−2−222220−2i−2i2i2i0−2−222-2-22200002222−2−2−2−200002i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ3322-2-222-2-2200-20-22022-2-222-2-20000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i2i−2i000000000000002−22−200
χ3422-2-222-2-2200-20-22022-2-222-2-20000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i−2i2i00000000000000−22−2200
χ3522-2-222-2-2200-20-22022-2-222-2-20000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i2i−2i00000000000000−22−2200
χ3622-2-222-2-2200-20-22022-2-222-2-20000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i−2i2i000000000000002−22−200
χ3722-2-222-2-2200-20-220-2-222-2-2220000000000i2−i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000002i−2i−2i2i000000000000002−2−2200
χ3822-2-222-2-2200-20-220-2-222-2-2220000000000i2−i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000−2i2i2i−2i00000000000000−222−200
χ3922-2-222-2-2200-20-220-2-222-2-2220000000000−i2i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000002i−2i−2i2i00000000000000−222−200
χ4022-2-222-2-2200-20-220-2-222-2-2220000000000−i2i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000−2i2i2i−2i000000000000002−2−2200
χ412-22-22-2-22222-2-22-2-200000000-22i−2i2i−2i20000000000002-22-22-22-2002i−2i00000000002i−2i2i−2i000000000000
χ422-22-22-2-22222-2-22-2-200000000-22i−2i2i−2i2000000000000-22-22-22-22002i−2i0000000000−2i2i−2i2i000000000000
χ432-22-22-2-22222-2-22-2-200000000-2−2i2i−2i2i20000000000002-22-22-22-200−2i2i0000000000−2i2i−2i2i000000000000
χ442-22-22-2-22222-2-22-2-200000000-2−2i2i−2i2i2000000000000-22-22-22-2200−2i2i00000000002i−2i2i−2i000000000000
χ452-22-22-2-22-2222-2-22-22-22-22-22-222i−2i2i−2i-22-22-2000000000000000000−2i2i0000002i−2i2i−2i0000000000000000
χ462-22-22-2-22-2222-2-22-22-22-22-22-22−2i2i−2i2i-22-22-20000000000000000002i−2i000000−2i2i−2i2i0000000000000000
χ472-22-22-2-22-2222-2-22-2-22-22-22-2222i−2i2i−2i-2-22-22000000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ482-22-22-2-22-2222-2-22-2-22-22-22-222−2i2i−2i2i-2-22-220000000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ492-22-22-2-22-2-2-222-2222-22-22-22-2-200002-22-2200000000000000000000000000000000002-22-200000000
χ502-22-22-2-22-2-2-222-2222-22-22-22-2-200002-22-220000000000000000000000000000000000-22-2200000000
χ512-22-22-2-22-2-2-222-222-22-22-22-22-2000022-22-200000000000000000000000000000000002-2-2200000000
χ522-22-22-2-22-2-2-222-222-22-22-22-22-2000022-22-20000000000000000000000000000000000-222-200000000
χ532-2-2-2-222202-20-20022−22−2−22−2202-2-2202−2−2200002-22-22−22−2−22−222-2000000002−2−222−2−22000000000000
χ542-2-2-2-222202-20-20022−22−2−22−2202-2-2202−2−220000-22-22−22−222−22−2-22000000002−2−22−222−2000000000000
χ552-2-2-2-222202-20-20022−22−2−22−220-222-202−2−2200002-22-22−22−2−22−22-2200000000−222−2−222−2000000000000
χ562-2-2-2-222202-20-20022−22−2−22−220-222-202−2−220000-22-22−22−222−22−22-200000000−222−22−2−22000000000000
χ572-2-2-2-222202-20-2002−22−222−22−202-2-220−222−200002-22-2−22−222−22−22-200000000−222−2−222−2000000000000
χ582-2-2-2-222202-20-2002−22−222−22−202-2-220−222−20000-22-222−22−2−22−22-2200000000−222−22−2−22000000000000
χ592-2-2-2-222202-20-2002−22−222−22−20-222-20−222−200002-22-2−22−222−22−2-22000000002−2−222−2−22000000000000
χ602-2-2-2-222202-20-2002−22−222−22−20-222-20−222−20000-22-222−22−2−22−222-2000000002−2−22−222−2000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-4-44-4000000002222−22−22−22−22222200000000002i2−2i2−2i22i200002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ63444-4-4-44-4000000002222−22−22−22−2222220000000000−2i22i22i2−2i20000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ64444-4-4-44-400000000−22−2222222222−22−2200000000002i2−2i2−2i22i20000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ65444-4-4-44-400000000−22−2222222222−22−220000000000−2i22i22i2−2i200002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6644-44-4-4-440-440-400422222222−22−22−22−22000000−22−2222220000000000000000000000000000000000000000000000
χ6744-44-4-4-440-440-4004−22−22−22−22222222220000002222−22−220000000000000000000000000000000000000000000000
χ6844-4-444-4-4-400404-400000000000000000002i2−2i22i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ6944-4-444-4-4-400404-40000000000000000000−2i22i2−2i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ704-444-44-4-40000000022−22−2222−222222−22000000000000002i2−2i2−2i22i22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ714-444-44-4-40000000022−22−2222−222222−2200000000000000−2i22i22i2−2i2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ724-444-44-4-400000000−222222−2222−22−2222000000000000002i2−2i2−2i22i2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ734-444-44-4-400000000−222222−2222−22−222200000000000000−2i22i22i2−2i22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ744-44-44-4-444-4-4-444-440000000040000-400000000000000000000000000000000000000000000000000
χ754-4-444-44-440040-4-40000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ764-4-444-44-440040-4-4000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ774-4-444-44-4-400-404404-4-444-4-4400000000000000000000000000000000000000000000000000000000
χ784-4-444-44-4-400-40440-444-4-444-400000000000000000000000000000000000000000000000000000000
χ794-4-4-4-44440-440400-422−2222−22−2222−2222000000−222222−220000000000000000000000000000000000000000000000
χ804-4-4-4-44440-440400-4−2222−222222−2222−2200000022−22−22220000000000000000000000000000000000000000000000

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