Finite Group Databasebeta

← Group #72341203

Character table — Group #72341203

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1124448888161616161616161616161632323232323232323232323232646464646464
order1222222222244444444444444488888888444488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111-1-111111111-11-1-111111111-1-1-1-1-1-1
χ4111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1111-1-111-1-1-1-11111iiii−i−i−i−i-1-1i−ii−i
χ61111111111-1111-1-111-1-1-1-11111−i−i−i−iiiii-1-1−ii−ii
χ71111111111-11-1-1-1-111-1-1-1-1-11-1-1iiii−i−i−i−i11−ii−ii
χ81111111111-11-1-1-1-111-1-1-1-1-11-1-1−i−i−i−iiiii11i−ii−i
χ9111111-1-1111-111-1-1-1-1111-111-1-111-1-111-1-11-111-1-1
χ10111111-1-1111-111-1-1-1-1111-111-1-1-1-111-1-1111-1-1-111
χ11111111-1-1111-1-1-1-1-1-1-1111-1-111111-1-111-1-1-11-1-111
χ12111111-1-1111-1-1-1-1-1-1-1111-1-1111-1-111-1-111-1111-1-1
χ13111111-1-111-1-11111-1-1-1-1-1111-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-111-1-11111-1-1-1-1-1111-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-111-1-1-1-111-1-1-1-1-11-1111ii−i−i−i−iii1-1−iii−i
χ16111111-1-111-1-1-1-111-1-1-1-1-11-1111−i−iiiii−i−i1-1i−i−ii
χ1722222222222200-2-2-2-22-2-220-20000000000000000
χ182222222222-220022-2-2-222-20-20000000000000000
χ19222222-2-2222-20022222-2-2-20-20000000000000000
χ20222222-2-222-2-200-2-222-22220-20000000000000000
χ212222-2-2002-220002i−2i2i−2i-200000002−2i2−i22−2i2−i2000000
χ222222-2-2002-220002i−2i2i−2i-20000000−22−i2i2−22−i2i2000000
χ232222-2-2002-22000−2i2i−2i2i-200000002−2−i2i22−2−i2i2000000
χ242222-2-2002-22000−2i2i−2i2i-20000000−22i2−i2−22i2−i2000000
χ252222-2-2002-2-20002i−2i−2i2i20000000i2−i22−2−i2i2−22000000
χ262222-2-2002-2-20002i−2i−2i2i20000000−i2i2−22i2−i22−2000000
χ272222-2-2002-2-2000−2i2i2i−2i20000000i2−i2−22−i2i22−2000000
χ282222-2-2002-2-2000−2i2i2i−2i20000000−i2i22−2i2−i2−22000000
χ2944444444-4-40-40000000000000000000000000000
χ30444444-4-4-4-4040000000000000000000000000000
χ314444-4-400-440000000004i−4i0000000000000000000
χ324444-4-400-44000000000−4i4i0000000000000000000
χ33444-4-444-400002200000000-202-200000000000000
χ34444-4-444-40000-2-20000000020-2200000000000000
χ35444-4-44-4400002200000000-20-2200000000000000
χ36444-4-44-440000-2-200000000202-200000000000000
χ37888-88-80000000000000000000000000000000000
χ381616-160000000000000000000000000000000000000
χ3916-1600000000004i−4i00000000000000000000000000
χ4016-160000000000−4i4i00000000000000000000000000

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