Finite Group Databasebeta

← Group #1844

Character table — Group #1844

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order12222222444444444444888888888888888844444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ101-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ141-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ151-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ1722222222-2-222-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-222-2-2000000000000000000000000
χ192222-2-2-2-22-2000000002-20000000022-2-222-2-200000000
χ202222-2-2-2-22-2000000002-200000000-2-222-2-22200000000
χ212222-2-2-2-2-2200000000-2222-2-222-2-20000000000000000
χ222222-2-2-2-2-2200000000-22-2-222-2-2220000000000000000
χ2322-2-22-22-200002-2002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ2422-2-22-22-200002-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ2522-2-22-22-20000-2200-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ2622-2-22-22-20000-2200-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ2722-2-2-22-22002-2002-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ2822-2-2-22-22002-2002-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ2922-2-2-22-2200-2200-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ3022-2-2-22-2200-2200-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ312-22-22-2-2200002-200-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ322-22-22-2-2200002-200-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ332-22-22-2-220000-22002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ342-22-22-2-220000-22002-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ352-22-2-222-2002-200-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ362-22-2-222-2002-200-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ372-22-2-222-200-22002-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ382-22-2-222-200-22002-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ392-2-2222-2-22222-2-2-2-222-2-2000000000000000000000000
χ402-2-2222-2-222-2-22222-2-2-2-2000000000000000000000000
χ412-2-22-2-2222-200000000-2222-2-2-2-2220000000000000000
χ422-2-22-2-2222-200000000-22-2-22222-2-20000000000000000
χ432-2-22-2-222-22000000002-20000000022-2-2-2-22200000000
χ442-2-22-2-222-22000000002-200000000-2-22222-2-200000000

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