Finite Group Databasebeta

← Group #72310922

Character table — Group #72310922

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11222444444888888888888888888888888888816161616161632323232326464646464646464
order1222222444422222222222222224444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1i−ii−ii−ii−i
χ10111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1−ii−ii−ii−ii
χ11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-11-1-11-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-11-111-11-1
χ13111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111i−i−iii−i−ii
χ14111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111−iii−i−iii−i
χ15111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-111-1-11-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-111-11-1-11
χ1722222222222-2-2-2-222-2-20000000022-2-2000000002222-2-2-2000000000000
χ1822222222222-2-2-2-222-2-20000000022-2-200000000-2-2-2-2222000000000000
χ1922222222222-2-2-2-2-2-22200000000-2-2220000000022-2-222-2000000000000
χ2022222222222-2-2-2-2-2-22200000000-2-22200000000-2-222-2-22000000000000
χ212222222-2-2-2-222-2-20000000022-2-20000000022-2-2002-22-202-20000000000
χ222222222-2-2-2-222-2-20000000022-2-20000000022-2-200-22-220-220000000000
χ232222222-2-2-2-222-2-200000000-2-22200000000-2-222002-22-20-220000000000
χ242222222-2-2-2-222-2-200000000-2-22200000000-2-22200-22-2202-20000000000
χ252222222-2-2-2-2-2-222000022-2-20000000022-2-20000002-2-220002-200000000
χ262222222-2-2-2-2-2-222000022-2-20000000022-2-2000000-222-2000-2200000000
χ272222222-2-2-2-2-2-2220000-2-22200000000-2-2220000002-2-22000-2200000000
χ282222222-2-2-2-2-2-2220000-2-22200000000-2-222000000-222-20002-200000000
χ2944444-4-444-4-4000000440000000000-4-4000000000000000000000000000
χ3044444-4-444-4-4000000-4-4000000000044000000000000000000000000000
χ3144444-4-4-4-4440000440000000000-4-400000000000000000000000000000
χ3244444-4-4-4-4440000-4-400000000004400000000000000000000000000000
χ33444-4-400004-4000000002-22-22-22-24-4002-22-22-22-20000000000000000000
χ34444-4-400004-4000000002-22-2-22-22-44002-22-2-22-220000000000000000000
χ35444-4-400004-400000000-22-222-22-2-4400-22-222-22-20000000000000000000
χ36444-4-400004-400000000-22-22-22-224-400-22-22-22-220000000000000000000
χ37444-4-40000-4400004-4002-2-222-2-2200002-2-222-2-220000000000000000000
χ38444-4-40000-4400004-400-222-2-222-20000-222-2-222-20000000000000000000
χ39444-4-40000-440000-44002-2-22-222-200002-2-22-222-20000000000000000000
χ40444-4-40000-440000-4400-222-22-2-220000-222-22-2-220000000000000000000
χ4144-44-4004-400000000002-22-22-22-2004-4-22-22-22-220000000000000000000
χ4244-44-4004-400000000002-22-2-22-2200-44-22-222-22-20000000000000000000
χ4344-44-4004-40000000000-22-222-22-200-442-22-2-22-220000000000000000000
χ4444-44-4004-40000000000-22-22-22-22004-42-22-22-22-20000000000000000000
χ4544-44-400-44000000004-42-2-222-2-220000-222-2-222-20000000000000000000
χ4644-44-400-44000000004-4-222-2-222-200002-2-222-2-220000000000000000000
χ4744-44-400-4400000000-442-2-22-222-20000-222-22-2-220000000000000000000
χ4844-44-400-4400000000-44-222-22-2-2200002-2-22-222-20000000000000000000
χ4944-4-444-40000004-4000000440000000000-4-400000000000000000000000
χ5044-4-444-40000004-4000000-4-400000000004400000000000000000000000
χ5144-4-444-4000000-440000440000000000-4-40000000000000000000000000
χ5244-4-444-4000000-440000-4-40000000000440000000000000000000000000
χ5344-4-44-4400004-4000000000000440000000000-4-40000000000000000000
χ5444-4-44-4400004-4000000000000-4-40000000000440000000000000000000
χ5544-4-44-440000-440000000000440000000000-4-4000000000000000000000
χ5644-4-44-440000-440000000000-4-4000000000044000000000000000000000
χ5716-1600000000000000000000000000000000000004i−4i00000000000000000
χ5816-160000000000000000000000000000000000000−4i4i00000000000000000

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