Finite Group Databasebeta

← Group #18521

Character table — Group #18521

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222444422444444444444444488888888222444448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1
χ91111-1-1-1-1-1-11-1-1111-111-1-111-1-111111-1-1-1-1111-1-1-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-11-1-1111-111-1-111-1-11-1-1-1-11111111-1-1-11-1-1-111-1-111-11
χ111111-1-1-1-1-1-11-1-1111-111-1-1-1-11111111-1-1-1-11-1-1-111-1111-1-1-1-111-11
χ121111-1-1-1-1-1-11-1-1111-111-1-1-1-1111-1-1-1-111111-1-1-111-11-1-11111-1-11-1
χ131111-1-1-1-1-1-11-1-1111-1-1-11111-1-111111-1-1-1-1-1-1-11111-1-1-11111-1-1-11
χ141111-1-1-1-1-1-11-1-1111-1-1-11111-1-11-1-1-1-11111-1-1-11111-111-1-1-1-1111-1
χ151111-1-1-1-1-1-11-1-1111-1-1-111-1-11111111-1-1-1-1-1111-1-1-11-1-111-1-1111-1
χ161111-1-1-1-1-1-11-1-1111-1-1-111-1-1111-1-1-1-11111-1111-1-1-1111-1-111-1-1-11
χ1722222222222-2-2-2-22-222220000-200000000-200-200000000000000
χ1822222222222-2-2-2-22-2-2-2-2-20000-200000000200200000000000000
χ1922222222-2-2-22222-2-200002222-200000000000000-2-20000000000
χ2022222222-2-2-22222-2-20000-2-2-2-2-200000000000000220000000000
χ2122222222-2-2-2-2-2-2-2-220000000020000000002-202-2000000000000
χ2222222222-2-2-2-2-2-2-2-22000000002000000000-220-22000000000000
χ232222-2-2-2-222-222-2-2-2-20000000020000000002-20-22000000000000
χ242222-2-2-2-222-222-2-2-2-2000000002000000000-2202-2000000000000
χ252222-2-2-2-222-2-2-222-22000022-2-2-200000000000000-220000000000
χ262222-2-2-2-222-2-2-222-220000-2-222-2000000000000002-20000000000
χ272222-2-2-2-2-2-2222-2-22222-2-20000-200000000-200200000000000000
χ282222-2-2-2-2-2-2222-2-222-2-2220000-200000000200-200000000000000
χ2922-2-222-2-22-2-20000202i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ3022-2-222-2-22-2-20000202i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ3122-2-222-2-22-2-2000020−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ3222-2-222-2-22-2-2000020−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ3322-2-2-2-222-22-20000202i−2i−2i2i00000i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ3422-2-2-2-222-22-20000202i−2i−2i2i00000−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ3522-2-2-2-222-22-2000020−2i2i2i−2i00000i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ3622-2-2-2-222-22-2000020−2i2i2i−2i00000−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ372-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0i2−i2i2−i22−22−2000000000000i2−i22−200
χ382-22-22i−2i2i−2i0002i−2i2-20000002-22i−2i0−i2i2−i2i2−22−22000000000000−i2i2−2200
χ392-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0i2−i2i2−i22−22−2000000000000−i2i2−2200
χ402-22-22i−2i2i−2i0002i−2i2-2000000-22−2i2i0−i2i2−i2i2−22−22000000000000i2−i22−200
χ412-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0i2−i2i2−i2−22−22000000000000i2−i2−2200
χ422-22-2−2i2i−2i2i000−2i2i2-20000002-2−2i2i0−i2i2−i2i22−22−2000000000000−i2i22−200
χ432-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0i2−i2i2−i2−22−22000000000000−i2i22−200
χ442-22-2−2i2i−2i2i000−2i2i2-2000000-222i−2i0−i2i2−i2i22−22−2000000000000i2−i2−2200
χ4544-4-444-4-4-4440000-4000000000000000000000000000000000000
χ4644-4-4-4-4444-440000-4000000000000000000000000000000000000
χ474-44-44i−4i4i−4i000−4i4i-440000000000000000000000000000000000000
χ484-44-4−4i4i−4i4i0004i−4i-440000000000000000000000000000000000000
χ494-4-444i−4i−4i4i0000000000000000002-2-22−2i2i2i−2i000000000000000000
χ504-4-444i−4i−4i4i000000000000000000-222-22i−2i−2i2i000000000000000000
χ514-4-44−4i4i4i−4i0000000000000000002-2-222i−2i−2i2i000000000000000000
χ524-4-44−4i4i4i−4i000000000000000000-222-2−2i2i2i−2i000000000000000000

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