Finite Group Databasebeta

← Group #24992

Character table — Group #24992

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ9111111111-1-1-1-11111111-1-111-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-11-111-1-111-1-1-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-111-11-1-1-1-1-1-111-1-111-11
χ12111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1-11111-1-11-1
χ13111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-11
χ14111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-111-1-1111-1
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1111-1
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-11111-1-111-1-1-11
χ1722222222-22222-2-2-20000-2-222220000000000-2-200000000000000
χ1822222222-22222-2-2-20000-2-2-2-2-2-200000000002200000000000000
χ1922222222-2-2-2-2-2-2-2-200002222-2-20000000000-2200000000000000
χ2022222222-2-2-2-2-2-2-2-2000022-2-22200000000002-200000000000000
χ21222-2-2-2-22-200002-222i2i−2i−2i0000002i2i−2i−2i00002-20000000000000000
χ22222-2-2-2-22-200002-222i2i−2i−2i000000−2i−2i2i2i0000-220000000000000000
χ23222-2-2-2-22-200002-22−2i−2i2i2i0000002i2i−2i−2i0000-220000000000000000
χ24222-2-2-2-22-200002-22−2i−2i2i2i000000−2i−2i2i2i00002-20000000000000000
χ2522-2-2-222-2022-2-20000000002-22-2i2−i2i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ2622-2-2-222-2022-2-20000000002-22-2−i2i2−i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ2722-2-2-222-2022-2-2000000000-22-22i2−i2i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ2822-2-2-222-2022-2-2000000000-22-22−i2i2−i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ2922-2-2-222-20-2-2220000000002-2-22i2−i2i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ3022-2-2-222-20-2-2220000000002-2-22−i2i2−i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ3122-2-2-222-20-2-222000000000-222-2i2−i2i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ3222-2-2-222-20-2-222000000000-222-2−i2i2−i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ332-222-22-2-2-20000-2222-22-200000000002i−2i2i−2i00002i−2i000000000000
χ342-222-22-2-2-20000-2222-22-20000000000−2i2i−2i2i0000−2i2i000000000000
χ352-222-22-2-2-20000-222-22-2200000000002i−2i2i−2i0000−2i2i000000000000
χ362-222-22-2-2-20000-222-22-220000000000−2i2i−2i2i00002i−2i000000000000
χ372-22-22-22-222-22-2-2-222i−2i−2i2i2-20000000000000000002i−2i0000000000
χ382-22-22-22-222-22-2-2-22−2i2i2i−2i2-2000000000000000000−2i2i0000000000
χ392-22-22-22-22-22-22-2-222i−2i−2i2i-22000000000000000000−2i2i0000000000
χ402-22-22-22-22-22-22-2-22−2i2i2i−2i-220000000000000000002i−2i0000000000
χ412-22-22-22-2-22-22-222-20000-22000000000000000000002i−2i2i−2i000000
χ422-22-22-22-2-22-22-222-20000-2200000000000000000000−2i2i−2i2i000000
χ432-22-22-22-2-2-22-2222-200002-2000000000000000000002i−2i−2i2i000000
χ442-22-22-22-2-2-22-2222-200002-200000000000000000000−2i2i2i−2i000000
χ45444-4-4-4-4440000-44-4000000000000000000000000000000000000
χ4644-444-4-4-400000000000000000022−22−22220000000000000000000000
χ4744-444-4-4-4000000000000000000−222222−220000000000000000000000
χ484-444-44-4-4400004-4-4000000000000000000000000000000000000
χ494-4-44-4-44404-4-44000000000000000000000000000000000000000
χ504-4-44-4-4440-444-4000000000000000000000000000000000000000
χ514-4-4-444-44000000000000000000000022−22−2222000000000000000000
χ524-4-4-444-440000000000000000000000−222222−22000000000000000000

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