Finite Group Databasebeta

← Group #72319169

Character table — Group #72319169

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11222444444888888888888888888888888888816161616161632323232326464646464646464
order1222222444422222222444444444444444444442244444888844448888
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-11-11-11-11-1
χ101111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-1-11-11-11-11
χ111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-111i−i−iii−i−ii
χ121111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-111−iii−i−iii−i
χ131111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1111-11-1-11-11
χ141111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-11-111-11-1
χ151111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1i−i−ii−iii−i
χ161111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1−iii−ii−i−ii
χ1722222222222-2-22222-2-2-2-2-2-200000000000000002222-2-2-2000000000000
χ1822222222222-2-22222-2-2-2-2-2-20000000000000000-2-2-2-2222000000000000
χ1922222222222-2-2-2-2-2-222-2-222000000000000000022-2-2-2-22000000000000
χ2022222222222-2-2-2-2-2-222-2-2220000000000000000-2-22222-2000000000000
χ2122222-2-2-2-22222000000-2-200000000002222-2-2-2-22-2002-20002-200000000
χ2222222-2-2-2-22222000000-2-200000000002222-2-2-2-2-2200-22000-2200000000
χ2322222-2-2-2-22222000000-2-20000000000-2-2-2-222222-2002-2000-2200000000
χ2422222-2-2-2-22222000000-2-20000000000-2-2-2-22222-2200-220002-200000000
χ2522222-2-2-2-222-2-200000022002222-2-2-2-2000000002-200-2202-20000000000
χ2622222-2-2-2-222-2-200000022002222-2-2-2-200000000-22002-20-220000000000
χ2722222-2-2-2-222-2-20000002200-2-2-2-22222000000002-200-220-220000000000
χ2822222-2-2-2-222-2-20000002200-2-2-2-2222200000000-22002-202-20000000000
χ294444444-4-4-4-40044-4-400000000000000000000000000000000000000000
χ304444444-4-4-4-400-4-44400000000000000000000000000000000000000000
χ3144444-4-444-4-40000004400-4-400000000000000000000000000000000000
χ3244444-4-444-4-4000000-4-4004400000000000000000000000000000000000
χ33444-4-400004-4000000004-40000004i4i−4i−4i000000000000000000000000000
χ34444-4-400004-4000000004-4000000−4i−4i4i4i000000000000000000000000000
χ35444-4-400004-400000000-44004i4i−4i−4i0000000000000000000000000000000
χ36444-4-400004-400000000-4400−4i−4i4i4i0000000000000000000000000000000
χ37444-4-40000-444-400000000000000000000004i4i−4i−4i0000000000000000000
χ38444-4-40000-444-40000000000000000000000−4i−4i4i4i0000000000000000000
χ39444-4-40000-44-440000000000000000004i4i−4i−4i00000000000000000000000
χ40444-4-40000-44-44000000000000000000−4i−4i4i4i00000000000000000000000
χ4144-44-44-4000000004-40000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000
χ4244-44-44-4000000004-4000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ4344-44-44-400000000-440000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ4444-44-44-400000000-44000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000
χ4544-44-4-440000004-4000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000
χ4644-44-4-440000004-400000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ4744-44-4-44000000-44000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ4844-44-4-44000000-4400000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000
χ4944-4-44004-40000000000004-42-2-222-2-222-2-222-2-220000000000000000000
χ5044-4-44004-40000000000004-4-222-2-222-2-222-2-222-20000000000000000000
χ5144-4-44004-4000000000000-442-2-222-2-22-222-2-222-20000000000000000000
χ5244-4-44004-4000000000000-44-222-2-222-22-2-222-2-220000000000000000000
χ5344-4-4400-44000000004-400002-2-22-222-22-2-22-222-20000000000000000000
χ5444-4-4400-44000000004-40000-222-22-2-22-222-22-2-220000000000000000000
χ5544-4-4400-4400000000-4400002-2-22-222-2-222-22-2-220000000000000000000
χ5644-4-4400-4400000000-440000-222-22-2-222-2-22-222-20000000000000000000
χ5716-160000000000000000000000000000000000000004-4000000000000000
χ5816-16000000000000000000000000000000000000000-44000000000000000

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