Finite Group Databasebeta

← Group #72235267

Character table — Group #72235267

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111144488888816161616161616161616161632323232323264646464646464646464646464646464646464646464646464
order12222222244442222244444442244444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i
χ1011111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1−i−iii−i−iii−i−iii11-1-1−i−iii
χ1111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-111ii−i−iii−i−i−i−iii-1-111−i−iii
χ1211111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-111−i−iii−i−iiiii−i−i-1-111ii−i−i
χ1311111111111111-1-1-1-1111-1-1-1-1-1-11111-111-1-1ii−i−i−i−iiiii−i−i-1-111−i−iii
χ1411111111111111-1-1-1-1111-1-1-1-1-1-11111-111-1-1−i−iiiii−i−i−i−iii-1-111ii−i−i
χ1511111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-111ii−i−i−i−iii−i−iii11-1-1ii−i−i
χ1611111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-111−i−iiiii−i−iii−i−i11-1-1−i−iii
χ172222222222222-222-2-2-2-2-22-2-222222-2-2-2000000000000000000000000
χ182222222222222-222-2-2-2-2-22-2-22-2-2-2-2222000000000000000000000000
χ192222222222222-2-2-222-2-2-2-222-222-2-222-2000000000000000000000000
χ202222222222222-2-2-222-2-2-2-222-2-2-222-2-22000000000000000000000000
χ21222222222-2-2-2-222-22-22-2-222-2-200000000000000000002i−2i2i−2i00000000
χ22222222222-2-2-2-222-22-22-2-222-2-20000000000000000000−2i2i−2i2i00000000
χ23222222222-2-2-2-22-22-222-2-2-2-22200000000000000000002-2-2200000000
χ24222222222-2-2-2-22-22-222-2-2-2-2220000000000000000000-222-200000000
χ25222222222-2-2-2-2-22-2-22-2222-22-20000000000000000000000000002i−2i2i−2i
χ26222222222-2-2-2-2-22-2-22-2222-22-2000000000000000000000000000−2i2i−2i2i
χ27222222222-2-2-2-2-2-222-2-222-22-220000000000000000000000000002-2-22
χ28222222222-2-2-2-2-2-222-2-222-22-22000000000000000000000000000-222-2
χ292222222-2-222-2-22222-2-22-2-2-22-200000002i−2i2i−2i00000000000000000000
χ302222222-2-222-2-22222-2-22-2-2-22-20000000−2i2i−2i2i00000000000000000000
χ312222222-2-222-2-22-2-2-22-22-222-2200000002i−2i−2i2i00000000000000000000
χ322222222-2-222-2-22-2-2-22-22-222-220000000−2i2i2i−2i00000000000000000000
χ332222222-2-222-2-2-222-222-22-22-2-2000000000000000000000002i−2i2i−2i0000
χ342222222-2-222-2-2-222-222-22-22-2-200000000000000000000000−2i2i−2i2i0000
χ352222222-2-222-2-2-2-2-22-22-222-222000000000000000000000002i−2i−2i2i0000
χ362222222-2-222-2-2-2-2-22-22-222-22200000000000000000000000−2i2i2i−2i0000
χ372222222-2-2-2-22222-222-2-22-2-2-22000000000002-22-20000000000000000
χ382222222-2-2-2-22222-222-2-22-2-2-2200000000000-22-220000000000000000
χ392222222-2-2-2-2222-22-2-2-2-22222-2000000000002i−2i−2i2i0000000000000000
χ402222222-2-2-2-2222-22-2-2-2-22222-200000000000−2i2i2i−2i0000000000000000
χ412222222-2-2-2-222-22-2-2-222-2-22220000000000000002i−2i2i−2i000000000000
χ422222222-2-2-2-222-22-2-2-222-2-2222000000000000000−2i2i−2i2i000000000000
χ432222222-2-2-2-222-2-222222-22-2-2-20000000000000002-2-22000000000000
χ442222222-2-2-2-222-2-222222-22-2-2-2000000000000000-222-2000000000000
χ4588888-8-800008-80000000000000000000000000000000000000000000
χ4688888-8-80000-880000000000000000000000000000000000000000000
χ478888-88-8008-8000000000000000000000000000000000000000000000
χ488888-88-800-88000000000000000000000000000000000000000000000
χ498888-8-888-800000000000000000000000000000000000000000000000
χ508888-8-88-8800000000000000000000000000000000000000000000000
χ511616-16-160000000000000000000004-400000000000000000000000000000
χ521616-16-16000000000000000000000-4400000000000000000000000000000
χ5316-1616-16000000000000000000000004-4000000000000000000000000000
χ5416-1616-1600000000000000000000000-44000000000000000000000000000
χ5516-16-161600000000000000000000000004-40000000000000000000000000
χ5616-16-16160000000000000000000000000-440000000000000000000000000

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