Finite Group Databasebeta

← Group #30321

Character table — Group #30321

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444422444444888888888888888824444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-11-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-11-111
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-11
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1
χ1311111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ21222-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2-200000000000000002i2i−2i−2i22-2-200000000
χ22222-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2-20000000000000000−2i−2i2i2i-2-22200000000
χ23222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-2220000000022-2-22i2i−2i−2i0000000000000000
χ24222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-22200000000-2-222−2i−2i2i2i0000000000000000
χ25222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-2220000000022-2-2−2i−2i2i2i0000000000000000
χ26222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-22200000000-2-2222i2i−2i−2i0000000000000000
χ27222-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-2-200000000000000002i2i−2i−2i-2-22200000000
χ28222-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000−2i−2i2i2i22-2-200000000
χ292-222-22-2-200002i−2i2i−2i00002-2002i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000
χ302-222-22-2-200002i−2i2i−2i00002-2002i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000
χ312-222-22-2-200002i−2i2i−2i0000-2200−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000
χ322-222-22-2-200002i−2i2i−2i0000-2200−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000
χ332-222-22-2-20000−2i2i−2i2i00002-200−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000
χ342-222-22-2-20000−2i2i−2i2i00002-200−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000
χ352-222-22-2-20000−2i2i−2i2i0000-22002i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000
χ362-222-22-2-20000−2i2i−2i2i0000-22002i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000
χ372-22-22-22-200002-2-220000002i−2i002i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000
χ382-22-22-22-200002-2-220000002i−2i002i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000
χ392-22-22-22-200002-2-22000000−2i2i00−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000
χ402-22-22-22-200002-2-22000000−2i2i00−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000
χ412-22-22-22-20000-222-20000002i−2i00−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ422-22-22-22-20000-222-20000002i−2i00−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ432-22-22-22-20000-222-2000000−2i2i002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ442-22-22-22-20000-222-2000000−2i2i002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ4544-444-4-4-44-44-40000000000000000000000000000000000000000
χ4644-444-4-4-4-44-440000000000000000000000000000000000000000
χ4744-4-4-444-44i−4i−4i4i0000000000000000000000000000000000000000
χ4844-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000
χ494-4-44-4-444000000004-44-400000000000000000000000000000000
χ504-4-44-4-44400000000-44-4400000000000000000000000000000000
χ514-4-4-444-44000000004-4-4400000000000000000000000000000000
χ524-4-4-444-4400000000-444-400000000000000000000000000000000

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