Finite Group Databasebeta

← Group #9176

Character table — Group #9176

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444444444444444888888884488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-11-1-1-1-11111-1-11ii−i−i-11-1i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-11-1-1-1-11111-1-11ii−i−i-11-1i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-11-1-1-1-11111-1-11−i−iii-11-1−ii−i−iiiii−i−iii−i−i-11-11
χ121111-1-11-1-1-1-11111-1-11−i−iii-11-1−ii−i−iii−i−iii−i−iii1-11-1
χ131111-1-11-1-1-1-111-1-1111ii−i−i-1-11i−i−i−iiiii−i−i−i−iii1-1-11
χ141111-1-11-1-1-1-111-1-1111ii−i−i-1-11i−i−i−iii−i−iiiii−i−i-111-1
χ151111-1-11-1-1-1-111-1-1111−i−iii-1-11−iiii−i−iii−i−i−i−iii-111-1
χ161111-1-11-1-1-1-111-1-1111−i−iii-1-11−iiii−i−i−i−iiiii−i−i1-1-11
χ17222222222-2-22-22222-20000-2-2-2000000000000000000
χ18222222222-2-22-2-2-2-2-2-20000-222000000000000000000
χ19222222-2-2-222-220000-22222-200-2-20000000000000000
χ20222222-2-2-222-220000-2-2-2-2-2-200220000000000000000
χ21222222-2-2-2-2-2-2-2000020000200002-22-2000000000000
χ22222222-2-2-2-2-2-2-200002000020000-22-22000000000000
χ232222-2-22-2-2222-222-2-2-200002-22000000000000000000
χ242222-2-22-2-2222-2-2-222-2000022-2000000000000000000
χ252222-2-2-22222-2-2000020000-200002i−2i−2i2i000000000000
χ262222-2-2-22222-2-2000020000-20000−2i2i2i−2i000000000000
χ272222-2-2-222-2-2-220000-22i2i−2i−2i200−2i2i0000000000000000
χ282222-2-2-222-2-2-220000-2−2i−2i2i2i2002i−2i0000000000000000
χ2922-2-22-222-200-202-22-2000000000000002−22−22−22−20000
χ3022-2-22-222-200-202-22-200000000000000−22−22−22−220000
χ3122-2-22-222-200-20-22-22000000000000002−22−2−22−220000
χ3222-2-22-222-200-20-22-2200000000000000−22−222−22−20000
χ3322-2-2-222-2200-202-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-2-222-2200-202-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-2-222-2200-20-222-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-2-222-2200-20-222-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ3744-4-44-4-4-440040000000000000000000000000000000
χ3844-4-4-44-44-40040000000000000000000000000000000
χ394-4-44000004i−4i00000002+2i−2−2i2−2i−2+2i000000000000000000000
χ404-4-44000004i−4i0000000−2−2i2+2i−2+2i2−2i000000000000000000000
χ414-4-4400000−4i4i00000002−2i−2+2i2+2i−2−2i000000000000000000000
χ424-4-4400000−4i4i0000000−2+2i2−2i−2−2i2+2i000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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