Finite Group Databasebeta

← Group #19413

Character table — Group #19413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222444444442224444444488888888888888888888244488
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ61111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ71111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1
χ81111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111
χ91111-1-1-1-11111-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ101111-1-1-1-11111-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-11
χ111111-1-1-1-11111-1111-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-11-11-11
χ121111-1-1-1-11111-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111-11-11-1
χ131111-1-1-1-11111-1-1-1111-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-1
χ141111-1-1-1-11111-1-1-1111-111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-11
χ151111-1-1-1-11111-1-1-1111-111-1-1-1-111-1-1111111-1-1-1-111-1-11-11-1-11
χ161111-1-1-1-11111-1-1-1111-111-1-1-1-111-1-1111111-1-1-1-1-1-111-11-111-1
χ1722222222-222-2-222-222-2-2-2-2-200000000000000000000000000
χ1822222222-222-2-2-2-2-2-2-2-2222200000000000000000000000000
χ19222222-2-22-2-22-200-200200002222-2-2-2-2000000000000000000
χ20222222-2-22-2-22-200-20020000-2-2-2-22222000000000000000000
χ21222222-2-2-2-2-2-2200200-20000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ22222222-2-2-2-2-2-2200200-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ232222-2-2222-2-22200-200-2000022-2-2-2-222000000000000000000
χ242222-2-2222-2-22200-200-20000-2-22222-2-2000000000000000000
χ252222-2-222-2-2-2-2-20020020000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ262222-2-222-2-2-2-2-2002002000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ272222-2-2-2-2-222-2222-2-2-2222-2-200000000000000000000000000
χ282222-2-2-2-2-222-22-2-2-2222-2-22200000000000000000000000000
χ292-22-22i−2i2i−2i02-2000000002-22i−2i2−2i2−i22−2i2−i2i2−i2i2−i22−22−20000000000
χ302-22-22i−2i2i−2i02-2000000002-22i−2i−22−i2i2−22−i2i2−i2i2−i2i2−22−220000000000
χ312-22-22i−2i2i−2i02-200000000-22−2i2i2−2i2−i22−2i2−i2−i2i2−i2i2−22−220000000000
χ322-22-22i−2i2i−2i02-200000000-22−2i2i−22−i2i2−22−i2i2i2−i2i2−i22−22−20000000000
χ332-22-22i−2i−2i2i0-22002-202i−2i000002−2i2−i2−22−i2i22−2−22−i2i2i2−i20000000000
χ342-22-22i−2i−2i2i0-22002-202i−2i00000−22−i2i22−2i2−i2−222−2i2−i2−i2i20000000000
χ352-22-22i−2i−2i2i0-2200-220−2i2i000002−2i2−i2−22−i2i2−222−2i2−i2−i2i20000000000
χ362-22-22i−2i−2i2i0-2200-220−2i2i00000−22−i2i22−2i2−i22−2−22−i2i2i2−i20000000000
χ372-22-2−2i2i2i−2i0-22002-20−2i2i000002−2−i2i2−22i2−i22−2−22i2−i2−i2i20000000000
χ382-22-2−2i2i2i−2i0-22002-20−2i2i00000−22i2−i22−2−i2i2−222−2−i2i2i2−i20000000000
χ392-22-2−2i2i2i−2i0-2200-2202i−2i000002−2−i2i2−22i2−i2−222−2−i2i2i2−i20000000000
χ402-22-2−2i2i2i−2i0-2200-2202i−2i00000−22i2−i22−2−i2i22−2−22i2−i2−i2i20000000000
χ412-22-2−2i2i−2i2i02-2000000002-2−2i2i2−2−i2i22−2−i2i2−i2i2−i2i22−22−20000000000
χ422-22-2−2i2i−2i2i02-2000000002-2−2i2i−22i2−i2−22i2−i2i2−i2i2−i2−22−220000000000
χ432-22-2−2i2i−2i2i02-200000000-222i−2i2−2−i2i22−2−i2i2i2−i2i2−i2−22−220000000000
χ442-22-2−2i2i−2i2i02-200000000-222i−2i−22i2−i2−22i2−i2−i2i2−i2i22−22−20000000000
χ454-4-440000400-40000000000000000000000000002i2−2i200000000
χ464-4-440000400-4000000000000000000000000000−2i22i200000000
χ474-4-440000-40040000000000000000000000000000022−22000000
χ484-4-440000-400400000000000000000000000000000−2222000000
χ4988-8-8000000000000000000000000000000000000000000000

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