Finite Group Databasebeta

← Group #486140

Character table — Group #486140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222222444442244444444444442244444448888888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1-1-111-1-111-1111-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ511111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1111-111-111111-1-1-1-1-1-1
χ611111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ711111111-1-1-1-11111111-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ811111111-1-1-1-11111111-1-11-1-1-1-111-1-111111-1-1-11-1-1-1-11111-1-1-1-111
χ9111111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-11-1-111-111-1-111-1-11-1
χ10111111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-11-1-1111-1-1-111-1-111-11
χ11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-111-1-111-1-1111-1
χ12111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-11111-1-111-1-1-11
χ13111111-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1111111-11-111-11-1-111-1-1-1-111-11
χ14111111-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1111111-1-11-1111-1-1-1-11111-1-11-1
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-11-1-1-1-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-11-1-11-1-1111-1-1-1-1111-1
χ17222222220000-2-2222-2-200-20000220022-22-2000-200000000000000
χ18222222220000-2-2222-2-200-20000-2-200-2-2-222000200000000000000
χ19222222220000-2-2-2-222222-200220000002-2000000-20-20000000000
χ20222222220000-2-2-2-2222-2-2-200-2-20000002-20000002020000000000
χ2122222222222222-2-22-2-2002220000-2-200-2-20000000-200000000000
χ2222222222-2-2-2-222-2-22-2-2002-2-200002200-2-20000000200000000000
χ23222222-2-20000-2-222-2-2-222200-2-20000002-2000000-2020000000000
χ24222222-2-20000-2-222-2-2-2-2-2200220000002-200000020-20000000000
χ25222222-2-20000-2-2-2-2-22200200002200-2-2-22-2000200000000000000
χ26222222-2-20000-2-2-2-2-2220020000-2-20022-222000-200000000000000
χ27222222-2-222222222-22200-2-2-200002200-2-20000000-200000000000
χ28222222-2-2-2-2-2-22222-22200-2220000-2-200-2-20000000200000000000
χ292-22-22-20022-2-22-22i−2i02i−2i0000000002i−2i00000000000002−2i2−i22−2i2−i200
χ302-22-22-20022-2-22-22i−2i02i−2i0000000002i−2i0000000000000−22−i2i2−22−i2i200
χ312-22-22-20022-2-22-2−2i2i0−2i2i000000000−2i2i00000000000002−2−i2i22−2−i2i200
χ322-22-22-20022-2-22-2−2i2i0−2i2i000000000−2i2i0000000000000−22i2−i2−22i2−i200
χ332-22-22-200-2-2222-22i−2i02i−2i000000000−2i2i00000000000002−2i2−i2−22−i2i200
χ342-22-22-200-2-2222-22i−2i02i−2i000000000−2i2i0000000000000−22−i2i22−2i2−i200
χ352-22-22-200-2-2222-2−2i2i0−2i2i0000000002i−2i00000000000002−2−i2i2−22i2−i200
χ362-22-22-200-2-2222-2−2i2i0−2i2i0000000002i−2i0000000000000−22i2−i22−2−i2i200
χ374444-4-44400000000-40000000000000000002-2-2020000000000000
χ384444-4-44400000000-4000000000000000000-2220-20000000000000
χ394444-4-4-4-400000000400000000000000000022-20-20000000000000
χ404444-4-4-4-4000000004000000000000000000-2-22020000000000000
χ4144-4-4004i−4i2-22-200000002-202i−2i2i−2i2-2002i−2i000000000000000000000
χ4244-4-4004i−4i2-22-20000000-2202i−2i−2i2i-2200−2i2i000000000000000000000
χ4344-4-4004i−4i-22-2200000002-20−2i2i2i−2i-2200−2i2i000000000000000000000
χ4444-4-4004i−4i-22-220000000-220−2i2i−2i2i2-2002i−2i000000000000000000000
χ4544-4-400−4i4i2-22-200000002-20−2i2i−2i2i2-200−2i2i000000000000000000000
χ4644-4-400−4i4i2-22-20000000-220−2i2i2i−2i-22002i−2i000000000000000000000
χ4744-4-400−4i4i-22-2200000002-202i−2i−2i2i-22002i−2i000000000000000000000
χ4844-4-400−4i4i-22-220000000-2202i−2i2i−2i2-200−2i2i000000000000000000000
χ494-44-44-4000000-444i−4i0−4i4i0000000000000000000000000000000000
χ504-44-44-4000000-44−4i4i04i−4i0000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800004-4-4400000000000000000000000000000000000000000
χ538-8-880000-444-400000000000000000000000000000000000000000

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