Finite Group Databasebeta

← Group #140321

Character table — Group #140321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222444444444424888844448888888888888816161616161616164488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-111-1-1-1-1-1111-1-1ii−i−i1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ10111111-1-111-1-1-1-1-1111-1-1ii−i−i1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-11−ii
χ11111111-1-111-1-1-1-1-1111-1-1ii−i−i1-1ii−i−i-1-111−i−iii11-1-1ii−i−i-11−ii
χ12111111-1-111-1-1-1-1-1111-1-1ii−i−i1-1ii−i−i-1-111−i−iii-1-111−i−iii1-1i−i
χ13111111-1-111-1-1-1-1-1111-1-1−i−iii1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ14111111-1-111-1-1-1-1-1111-1-1−i−iii1-1−i−iii11-1-1−i−iii-1-111ii−i−i-11i−i
χ15111111-1-111-1-1-1-1-1111-1-1−i−iii1-1−i−iii-1-111ii−i−i11-1-1−i−iii-11i−i
χ16111111-1-111-1-1-1-1-1111-1-1−i−iii1-1−i−iii-1-111ii−i−i-1-111ii−i−i1-1−ii
χ172222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-2-2-22-222-2-20000-22000000002i−2i2i−2i000000000000
χ2022222222-2-2-2-2-2-22-222-2-20000-2200000000−2i2i−2i2i000000000000
χ2122222222-2-2-2-2-2-22-2-2-22200002-200002i−2i2i−2i0000000000000000
χ2222222222-2-2-2-2-2-22-2-2-22200002-20000−2i2i−2i2i0000000000000000
χ23222222-2-222-2-2-2-2-22-2-2222i2i−2i−2i-22−2i−2i2i2i00000000000000000000
χ24222222-2-222-2-2-2-2-22-2-222−2i−2i2i2i-222i2i−2i−2i00000000000000000000
χ25222222-2-2-2-22222-2-222220000-2-2000000002-2-22000000000000
χ26222222-2-2-2-22222-2-222220000-2-200000000-222-2000000000000
χ27222222-2-2-2-22222-2-2-2-2-2-200002200002i−2i−2i2i0000000000000000
χ28222222-2-2-2-22222-2-2-2-2-2-20000220000−2i2i2i−2i0000000000000000
χ292222-2-222-2-222-2-2-2200000000002-22-200000000i2−i2i2−i2i2−i2i2−i20000
χ302222-2-222-2-222-2-2-2200000000002-22-200000000−i2i2−i2i2−i2i2−i2i20000
χ312222-2-222-2-222-2-2-220000000000-22-2200000000i2−i2i2−i2−i2i2−i2i20000
χ322222-2-222-2-222-2-2-220000000000-22-2200000000−i2i2−i2i2i2−i2i2−i20000
χ332222-2-2-2-2-2-2-2-2222200000000002i−2i−2i2i00000000i2−i2−i2i2−222−20000
χ342222-2-2-2-2-2-2-2-2222200000000002i−2i−2i2i00000000−i2i2i2−i22−2−220000
χ352222-2-2-2-2-2-2-2-222220000000000−2i2i2i−2i00000000i2−i2−i2i22−2−220000
χ362222-2-2-2-2-2-2-2-222220000000000−2i2i2i−2i00000000−i2i2i2−i2−222−20000
χ374444-4-44444-4-444-4-40000000000000000000000000000000000
χ384444-4-4-4-44444-4-44-40000000000000000000000000000000000
χ394-44-44-400004i−4i4i−4i0000002+2i−2−2i2−2i−2+2i00000000000000000000000000
χ404-44-44-400004i−4i4i−4i000000−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ414-44-44-40000−4i4i−4i4i0000002−2i−2+2i2+2i−2−2i00000000000000000000000000
χ424-44-44-40000−4i4i−4i4i000000−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ434-44-4-4400004i−4i−4i4i004-44i−4i000000000000000000000000000000
χ444-44-4-4400004i−4i−4i4i00-44−4i4i000000000000000000000000000000
χ454-44-4-440000−4i4i4i−4i004-4−4i4i000000000000000000000000000000
χ464-44-4-440000−4i4i4i−4i00-444i−4i000000000000000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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