Finite Group Databasebeta

← Group #11800059

Character table — Group #11800059

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222889916161618181818181818181818181818181818181818181818181818181848489696144144
order1248836221224244444488888816161616161616161616161616161616226644
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111-1-111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11-11-11-1
χ6111-1-111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11
χ7111-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11
χ8111-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-11-111-1
χ9222222222222-2-2-2-2222-2-2-2-20000000000000000000000
χ102222222-2-22220000-2-2-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000
χ112222222-2-22220000-2-2-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000
χ12222-2-222222-2-222222-2-2-2-2-2-20000000000000000000000
χ13222-2-222-2-22-2-20000-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000
χ14222-2-222-2-22-2-20000-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000
χ1522-2002222-20022-2-2-200000022−2−222−2−222−2−222−2−2000000
χ1622-2002222-20022-2-2-2000000−2−222−2−222−2−222−2−222000000
χ1722-2002222-200-2-222-200000022−2−222−2−2−2−222−2−222000000
χ1822-2002222-200-2-222-2000000−2−222−2−22222−2−222−2−2000000
χ1922-20022-2-2-200000020022-2-2000000002i2i−2i−2i−2i−2i2i2i000000
χ2022-20022-2-2-200000020022-2-200000000−2i−2i2i2i2i2i−2i−2i000000
χ2122-20022-2-2-2000000200-2-2222i2i−2i−2i−2i−2i2i2i00000000000000
χ2222-20022-2-2-2000000200-2-222−2i−2i2i2i2i2i−2i−2i00000000000000
χ232-202−22-22-202−22-20002−22−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000
χ242-202−22-22-202−22-20002−22−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000
χ252-202−22-22-202−2-220002−2−22−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000
χ262-202−22-22-202−2-220002−2−22−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000
χ272-202−22-2-2202−2002-20−222−2−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ282-202−22-2-2202−2002-20−222−2−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ292-202−22-2-2202−200-220−22−222−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ302-202−22-2-2202−200-220−22−222−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ312-20−222-22-20−222-2000−22−22−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000
χ322-20−222-22-20−222-2000−22−22−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000
χ332-20−222-22-20−22-22000−222−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000
χ342-20−222-22-20−22-22000−222−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000
χ352-20−222-2-220−22002-202−2−222−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ362-20−222-2-220−22002-202−2−222−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ372-20−222-2-220−2200-2202−22−2−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ382-20−222-2-220−2200-2202−22−2−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ3988888-1-100-1-1-100000000000000000000000000022-1-100
χ4088888-1-100-1-1-1000000000000000000000000000-2-21100
χ41888-8-8-1-100-1110000000000000000000000000002-2-1100
χ42888-8-8-1-100-111000000000000000000000000000-221-100
χ431616-1600-2-200200000000000000000000000000000000000
χ4416-16082−82-22000−22000000000000000000000000000000000
χ4516-160−8282-220002−2000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.