Finite Group Databasebeta

← Group #7652

Character table — Group #7652

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222-2-222-2-2-2-2-2-222-2-2000000000000000000000000
χ18222222222222-2-222-2-222-2-2-2-2-2-222000000000000000000000000
χ1922222222-2-2-2-222-2-222-2-2-2-222-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-222-2-222-2-22222-2-2000000000000000000000000
χ212222-2-2-2-222-2-22200-2-20000002-20000000000000000002−22−22−22−2
χ222222-2-2-2-222-2-22200-2-20000002-2000000000000000000−22−22−22−22
χ232222-2-2-2-222-2-2-2-20022000000-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ242222-2-2-2-222-2-2-2-20022000000-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ252222-2-2-2-2-2-2222200-2-2000000-220000000000000000002−2−222−2−22
χ262222-2-2-2-2-2-2222200-2-2000000-22000000000000000000−222−2−222−2
χ272222-2-2-2-2-2-222-2-200220000002-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ282222-2-2-2-2-2-222-2-200220000002-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2922-2-22-22-200002i−2i2i−2i2i−2i2i−2i2-2000000002i−2i002-20000000000000000
χ3022-2-22-22-200002i−2i2i−2i2i−2i2i−2i2-200000000−2i2i00-220000000000000000
χ3122-2-22-22-200002i−2i−2i2i2i−2i−2i2i-220000002-2002i−2i000000000000000000
χ3222-2-22-22-200002i−2i−2i2i2i−2i−2i2i-22000000-2200−2i2i000000000000000000
χ3322-2-22-22-20000−2i2i2i−2i−2i2i2i−2i-220000002-200−2i2i000000000000000000
χ3422-2-22-22-20000−2i2i2i−2i−2i2i2i−2i-22000000-22002i−2i000000000000000000
χ3522-2-22-22-20000−2i2i−2i2i−2i2i−2i2i2-2000000002i−2i00-220000000000000000
χ3622-2-22-22-20000−2i2i−2i2i−2i2i−2i2i2-200000000−2i2i002-20000000000000000
χ372-22-2-2-2222-22-2002200-2-20000002-200000000i2−i2i2−i2i2−i2i2−i200000000
χ382-22-2-2-2222-22-2002200-2-20000002-200000000−i2i2−i2i2−i2i2−i2i200000000
χ392-22-2-2-2222-22-200-2-20022000000-22000000002−22−2−22−2200000000
χ402-22-2-2-2222-22-200-2-20022000000-2200000000−22−222−22−200000000
χ412-22-2-2-222-22-22002200-2-2000000-2200000000i2−i2−i2i2i2−i2−i2i200000000
χ422-22-2-2-222-22-22002200-2-2000000-2200000000−i2i2i2−i2−i2i2i2−i200000000
χ432-22-2-2-222-22-2200-2-200220000002-2000000002−2−22−222−200000000
χ442-22-2-2-222-22-2200-2-200220000002-200000000−222−22−2−2200000000
χ4544-4-4-44-4400004i−4i00−4i4i0000000000000000000000000000000000
χ4644-4-4-44-440000−4i4i004i−4i0000000000000000000000000000000000
χ474-44-444-4-44-4-440000000000000000000000000000000000000000
χ484-44-444-4-4-444-40000000000000000000000000000000000000000
χ494-4-444-4-44000000000000004i−4i0000000000000000000000000000
χ504-4-444-4-4400000000000000−4i4i0000000000000000000000000000
χ514-4-44-444-40000004i−4i00−4i4i00000000000000000000000000000000
χ524-4-44-444-4000000−4i4i004i−4i00000000000000000000000000000000

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