Finite Group Databasebeta

← Group #255321

Character table — Group #255321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444422244444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-11-1-1-111-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-1-1-1111111-11-1-1-11-111-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1111111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11-11-1111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-11-11-11-1-11-1-11111-1-1-1-11111
χ9111111111111-1-11111-1111111-1-1-1-1-11-1-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-1111111-1-1-1-1-11-1-11-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-11111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-11111-1-1-1-111-1-11-1-11-1-1-111111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1111-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22000022-2-2220-2000-2000000000000000000
χ1822222222222222-2-2-2-220000-2-2-2-2-2-2020002000000000000000000
χ19222222222222-2-2-2-2-2-2-200002222-2-20-20002000000000000000000
χ20222222222222-2-2-2-2-2-2-20000-2-2222202000-2000000000000000000
χ2122222222-2-2-2-2222-2-22-222-2-2002-200200-200000000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-222002-200-200200000000000000000000
χ2322222222-2-2-2-222-222-2-2000000-22000020-20200-200000000000000
χ2422222222-2-2-2-222-222-2-2000000-220000-2020-200200000000000000
χ2522222222-2-2-2-2-2-22-2-22222-2-200-2200-200200000000000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-22200-2200200-200000000000000000000
χ2722222222-2-2-2-2-2-2-222-220000002-200002020-200-200000000000000
χ2822222222-2-2-2-2-2-2-222-220000002-20000-20-20200200000000000000
χ292-2-2222-2-22-22-20022-2-202-22-200000000000000002i−2i00000000002i−2i
χ302-2-2222-2-22-22-20022-2-202-22-20000000000000000−2i2i0000000000−2i2i
χ312-2-2222-2-22-22-20022-2-20-22-2200000000000000002i−2i0000000000−2i2i
χ322-2-2222-2-22-22-20022-2-20-22-220000000000000000−2i2i00000000002i−2i
χ332-2-2222-2-2-22-22002-22-202-2-2200000000000002i−2i000000000002i−2i00
χ342-2-2222-2-2-22-22002-22-202-2-220000000000000−2i2i00000000000−2i2i00
χ352-2-2222-2-2-22-22002-22-20-222-200000000000002i−2i00000000000−2i2i00
χ362-2-2222-2-2-22-22002-22-20-222-20000000000000−2i2i000000000002i−2i00
χ3744-44-4-44-44-4-44000000000004i−4i0000000000000000000000000000
χ3844-44-4-44-44-4-4400000000000−4i4i0000000000000000000000000000
χ3944-44-4-44-4-444-40000000000000004i−4i000000000000000000000000
χ4044-44-4-44-4-444-4000000000000000−4i4i000000000000000000000000
χ414-444-4-4-4444-4-4000000000000000000000000000000000002i2−2i20000
χ424-444-4-4-4444-4-400000000000000000000000000000000000−2i22i20000
χ434-444-4-4-44-4-44400000000000000000000000000000000022−22000000
χ444-444-4-4-44-4-444000000000000000000000000000000000−2222000000
χ454-4-4444-4-44-44-400-4-44400000000000000000000000000000000000
χ464-4-4444-4-4-44-4400-44-4400000000000000000000000000000000000
χ474-4-4-44-44400004-40000000000000000000000000002-22-200000000
χ484-4-4-44-44400004-4000000000000000000000000000-22-2200000000
χ494-4-4-44-4440000-440000000000000000000000000002-2-2200000000
χ504-4-4-44-4440000-44000000000000000000000000000-222-200000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-88-8-888-8000000000000000000000000000000000000000000000

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