Finite Group Databasebeta

← Group #29408

Character table — Group #29408

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444422444444222244444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ8111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-111
χ172222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122-22-22-2-200002i2i−2i−2i22-2-200002i−2i0000000000002-2002i−2i00000000
χ2222-22-22-2-200002i2i−2i−2i22-2-200002i−2i000000000000-2200−2i2i00000000
χ2322-22-22-2-200002i2i−2i−2i-2-2220000−2i2i00002-200002i−2i00000000000000
χ2422-22-22-2-200002i2i−2i−2i-2-2220000−2i2i0000-220000−2i2i00000000000000
χ2522-22-22-2-20000−2i−2i2i2i22-2-20000−2i2i0000000000002-200−2i2i00000000
χ2622-22-22-2-20000−2i−2i2i2i22-2-20000−2i2i000000000000-22002i−2i00000000
χ2722-22-22-2-20000−2i−2i2i2i-2-22200002i−2i00002-20000−2i2i00000000000000
χ2822-22-22-2-20000−2i−2i2i2i-2-22200002i−2i0000-2200002i−2i00000000000000
χ292-222-2-22-22i2i−2i−2i00002-22-2002i−2i00000000002-200002i−2i0000000000
χ302-222-2-22-22i2i−2i−2i00002-22-2002i−2i0000000000-220000−2i2i0000000000
χ312-222-2-22-22i2i−2i−2i0000-22-2200−2i2i00002-2002i−2i000000000000000000
χ322-222-2-22-22i2i−2i−2i0000-22-2200−2i2i0000-2200−2i2i000000000000000000
χ332-222-2-22-2−2i−2i2i2i00002-22-200−2i2i00000000002-20000−2i2i0000000000
χ342-222-2-22-2−2i−2i2i2i00002-22-200−2i2i0000000000-2200002i−2i0000000000
χ352-222-2-22-2−2i−2i2i2i0000-22-22002i−2i00002-200−2i2i000000000000000000
χ362-222-2-22-2−2i−2i2i2i0000-22-22002i−2i0000-22002i−2i000000000000000000
χ372-2-2-2-22222-22-22-22-200002-200000000000000000000002−22−22−22−2
χ382-2-2-2-22222-22-22-22-200002-20000000000000000000000−22−22−22−22
χ392-2-2-2-22222-22-2-22-220000-2200000000000000000000002−22−2−22−22
χ402-2-2-2-22222-22-2-22-220000-220000000000000000000000−22−222−22−2
χ412-2-2-2-2222-22-222-22-20000-2200000000000000000000002−2−222−2−22
χ422-2-2-2-2222-22-222-22-20000-220000000000000000000000−222−2−222−2
χ432-2-2-2-2222-22-22-22-2200002-200000000000000000000002−2−22−222−2
χ442-2-2-2-2222-22-22-22-2200002-20000000000000000000000−222−22−2−22
χ45444-4-4-4-440000000000000000004i−4i000000000000000000000000
χ46444-4-4-4-44000000000000000000−4i4i000000000000000000000000
χ4744-4-44-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ4844-4-44-44-4−4i4i4i−4i0000000000000000000000000000000000000000
χ494-44-444-4-400004i−4i−4i4i000000000000000000000000000000000000
χ504-44-444-4-40000−4i4i4i−4i000000000000000000000000000000000000
χ514-4-444-4-44000000004-4-4400000000000000000000000000000000
χ524-4-444-4-4400000000-444-400000000000000000000000000000000

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