Finite Group Databasebeta

← Group #24124

Character table — Group #24124

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888222224444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ51111111111111111-1-111-1-1111111111111-11111-1-1-1-1-111-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-11
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-11111-1-1-11
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-1111-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-11-1-111-111-1-1-1-1-1-111-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ1722222222-22222-2-2-222-2-222000000000000-20000-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000-200002000000000000
χ21222-2-22-2-2-200002-220000002i2i−2i−2i000022-2-200000000002i−2i000000
χ22222-2-22-2-2-200002-220000002i2i−2i−2i0000-2-2220000000000−2i2i000000
χ23222-2-22-2-2-200002-22000000−2i−2i2i2i000022-2-20000000000−2i2i000000
χ24222-2-22-2-2-200002-22000000−2i−2i2i2i0000-2-22200000000002i−2i000000
χ2522-22-2-22-202i2i−2i−2i0002-2002i−2i0000i2i2−i2−i22−22−2000000000000i2−i22−200
χ2622-22-2-22-202i2i−2i−2i0002-2002i−2i0000−i2−i2i2i2−22−22000000000000−i2i2−2200
χ2722-22-2-22-202i2i−2i−2i000-2200−2i2i0000i2i2−i2−i22−22−2000000000000−i2i2−2200
χ2822-22-2-22-202i2i−2i−2i000-2200−2i2i0000−i2−i2i2i2−22−22000000000000i2−i22−200
χ2922-22-2-22-20−2i−2i2i2i0002-200−2i2i0000i2i2−i2−i2−22−22000000000000i2−i2−2200
χ3022-22-2-22-20−2i−2i2i2i0002-200−2i2i0000−i2−i2i2i22−22−2000000000000−i2i22−200
χ3122-22-2-22-20−2i−2i2i2i000-22002i−2i0000i2i2−i2−i2−22−22000000000000−i2i22−200
χ3222-22-2-22-20−2i−2i2i2i000-22002i−2i0000−i2−i2i2i22−22−2000000000000i2−i2−2200
χ332-2-2222-2-2200002-2-20000002i−2i2i−2i2i−2i2i−2i00000002-20000000000000
χ342-2-2222-2-2200002-2-20000002i−2i2i−2i−2i2i−2i2i0000000-220000000000000
χ352-2-2222-2-2200002-2-2000000−2i2i−2i2i2i−2i2i−2i0000000-220000000000000
χ362-2-2222-2-2200002-2-2000000−2i2i−2i2i−2i2i−2i2i00000002-20000000000000
χ372-2-2-2-222222-22-2-2-22002-2000000000000000000002-22-200000000
χ382-2-2-2-222222-22-2-2-22002-200000000000000000000-22-2200000000
χ392-2-2-2-22222-22-22-2-2200-22000000000000000000002-2-2200000000
χ402-2-2-2-22222-22-22-2-2200-2200000000000000000000-222-200000000
χ412-2-2-2-2222-22-22-222-200-22002-2-220000000002-2000000000000000
χ422-2-2-2-2222-22-22-222-200-2200-222-2000000000-22000000000000000
χ432-2-2-2-2222-2-22-2222-2002-2002-2-22000000000-22000000000000000
χ442-2-2-2-2222-2-22-2222-2002-200-222-20000000002-2000000000000000
χ45444-4-44-4-440000-44-4000000000000000000000000000000000000
χ4644-4-44-4-44000000000000000000000022−22−2222000000000000000000
χ4744-4-44-4-440000000000000000000000−222222−22000000000000000000
χ484-444-4-4-4400000000000000000022−22−22220000000000000000000000
χ494-444-4-4-44000000000000000000−222222−220000000000000000000000
χ504-44-44-44-404i−4i−4i4i000000000000000000000000000000000000000
χ514-44-44-44-40−4i4i4i−4i000000000000000000000000000000000000000
χ524-4-4444-4-4-40000-444000000000000000000000000000000000000

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