Finite Group Databasebeta

← Group #8427

Character table — Group #8427

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444444444444244444444444448888888888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-11-11111-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ91111-1-1-111-1-1-11111-1-1-1111-1-1-111-1-1ii−i−iii−i−iii−i−ii−i
χ101111-1-1-111-1-1-11111-1-1-1111-1-1-111-1-1−i−iii−i−iii−i−iii−ii
χ111111-1-1-111-1-1-11111-1-1-11-1-111-1-1-111ii−i−i−i−iii−i−iiii−i
χ121111-1-1-111-1-1-11111-1-1-11-1-111-1-1-111−i−iiiii−i−iii−i−i−ii
χ131111-1-1-111-1-1-111-1-111-1-111-1-11-1-111ii−i−i−i−iiiii−i−i−ii
χ141111-1-1-111-1-1-111-1-111-1-111-1-11-1-111−i−iiiii−i−i−i−iiii−i
χ151111-1-1-111-1-1-111-1-111-1-1-1-111111-1-1ii−i−iii−i−i−i−iii−ii
χ161111-1-1-111-1-1-111-1-111-1-1-1-111111-1-1−i−iii−i−iiiii−i−ii−i
χ172222222-2-2-22-22-20000-20000002-22-200000000000000
χ182222222-2-2-22-22-20000-2000000-22-2200000000000000
χ19222222-2222-22-2-22222-2-20000-2000000000000000000
χ20222222-2222-22-2-2-2-2-2-2-2200002000000000000000000
χ21222222-2-2-2-2-2-2-220000202-22-20000000000000000000
χ22222222-2-2-2-2-2-2-22000020-22-220000000000000000000
χ232222-2-2222-22-2-2-222-2-22-200002000000000000000000
χ242222-2-2222-22-2-2-2-2-222220000-2000000000000000000
χ252222-2-22-2-2222-220000-202-2-220000000000000000000
χ262222-2-22-2-2222-220000-20-222-20000000000000000000
χ272222-2-2-2-2-22-222-2000020000002-2-2200000000000000
χ282222-2-2-2-2-22-222-200002000000-222-200000000000000
χ292-2-222-202-2-202002i−2i2i−2i000000000000000i2−i2i2−i22−22−200
χ302-2-222-202-2-202002i−2i2i−2i000000000000000−i2i2−i2i2−22−2200
χ312-2-222-202-2-20200−2i2i−2i2i000000000000000i2−i2i2−i2−22−2200
χ322-2-222-202-2-20200−2i2i−2i2i000000000000000−i2i2−i2i22−22−200
χ332-2-22-2202-220-2002i−2i−2i2i0000000000000002−2−22−i2i2i2−i200
χ342-2-22-2202-220-2002i−2i−2i2i000000000000000−222−2i2−i2−i2i200
χ352-2-22-2202-220-200−2i2i2i−2i0000000000000002−2−22i2−i2−i2i200
χ362-2-22-2202-220-200−2i2i2i−2i000000000000000−222−2−i2i2i2−i200
χ3744-4-4004000-40000000000000000002-22-20000000000
χ3844-4-4004000-4000000000000000000-22-220000000000
χ3944-4-400-400040000000000000000002i−2i−2i2i0000000000
χ4044-4-400-40004000000000000000000−2i2i2i−2i0000000000
χ414-4-444-40-4440-40000000000000000000000000000000
χ424-4-44-440-44-4040000000000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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