Finite Group Databasebeta

← Group #72283883

Character table — Group #72283883

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1124448888888888161616161616161632323232323232323232323232646464646464
order1222222222444444224444444444488888888448888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111-1-11111-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-11111-1-11-1111iiii−i−i−i−i-1-1ii−i−i
χ6111111111111-1-1-1-1-1-11111-1-11-1111−i−i−i−iiiii-1-1−i−iii
χ7111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1iiii−i−i−i−i11−i−iii
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-111-1-111-1-11-111-1-1-1-1111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-111-1-111-1-11-111-1-1-1-1111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-111-1-111-1-11-1-1-1-1-1-1-1-11111ii−i−iii−i−i-11−ii−ii
χ12111111-1-111-1-111-1-11-1-1-1-1-1-1-1-11111−i−iii−i−iii-11i−ii−i
χ13111111-1-111-1-1-1-111-1111-1-1111-11-1-111-1-1-1-111-111-1-11
χ14111111-1-111-1-1-1-111-1111-1-1111-11-1-1-1-11111-1-1-11-111-1
χ15111111-1-111-1-1-1-111-11-1-1-1-111-1-111111-1-1-1-1111-1-111-1
χ16111111-1-111-1-1-1-111-11-1-1-1-111-1-1111-1-11111-1-11-11-1-11
χ1722222222222222222200-2-2-2-20-2-20000000000000000
χ18222222222222-2-2-2-2-2-200-2-22202-20000000000000000
χ19222222-2-222-2-222-2-22-20022220-2-20000000000000000
χ20222222-2-222-2-2-2-222-220022-2-202-20000000000000000
χ212222-2-2002-2002200-20002i−2i2i−2i000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ222222-2-2002-2002200-20002i−2i2i−2i00000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ232222-2-2002-2002200-2000−2i2i−2i2i000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ242222-2-2002-2002200-2000−2i2i−2i2i00000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ252222-2-2002-200-2-20020002i−2i−2i2i000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ262222-2-2002-200-2-20020002i−2i−2i2i00000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ272222-2-2002-200-2-2002000−2i2i2i−2i000001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ282222-2-2002-200-2-2002000−2i2i2i−2i00000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ2944444444-4-4-4-40000000000000000000000000000000
χ30444444-4-4-4-4440000000000000000000000000000000
χ314444-4-400-440000440-40000000000000000000000000
χ324444-4-400-440000-4-4040000000000000000000000000
χ33444-4-444-40000000000220000-2002-200000000000000
χ34444-4-444-40000000000-2-20000200-2200000000000000
χ35444-4-44-440000000000220000-200-2200000000000000
χ36444-4-44-440000000000-2-200002002-200000000000000
χ37888-88-80000000000000000000000000000000000000
χ3888-800000004-44-44-4000000000000000000000000000
χ3988-800000004-4-44-44000000000000000000000000000
χ4088-80000000-444-4-44000000000000000000000000000
χ4188-80000000-44-444-4000000000000000000000000000
χ4216-1600000000000000004i−4i00000000000000000000000
χ4316-160000000000000000−4i4i00000000000000000000000

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