Finite Group Databasebeta

← Group #72262837

Character table — Group #72262837

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444488888888888888888888161616161616161616161616161616163232323232323232323264646464
order1222222222222222222222444444444444244444444444444424444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-111111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-11-1-1-1-11111-1-111
χ711111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-111-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1111111-1-1
χ9111111111111-1-11-1-11111-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111111111111-1-11-1-11111-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1−i−iii−i−iii−ii−ii
χ11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1-111ii−i−iii−i−i−ii−ii
χ12111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1-111−i−iii−i−iiii−ii−i
χ13111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1ii−i−i−i−iiii−i−ii
χ14111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1−i−iiiii−i−i−iii−i
χ15111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-11ii−i−i−i−iii−iii−i
χ16111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-11−i−iiiii−i−ii−i−ii
χ17222222222222222222222200000000-2-2-2-2-2-2-22200000000-2-2-200000000000000
χ1822222222222222222-2-2-2-22000000002222-2-2-2-2-20000000022-200000000000000
χ19222222222222-2-22-2-22222-200000000-2-2-2-22-2-2-2-20000000022200000000000000
χ20222222222222-2-22-2-2-2-2-2-2-20000000022222-2-22200000000-2-2200000000000000
χ212222222222-2-222-22-20000-2000022220000-22-200002200-2-2002-20000000000000
χ222222222222-2-222-22-20000-20000-2-2-2-20000-22-20000-2-2002200220000000000000
χ232222222222-2-222-22-20000-22222000000002-22002200-2-20000-20-2000000000000
χ242222222222-2-222-22-20000-2-2-2-2-2000000002-2200-2-200220000-202000000000000
χ252222222222-2-2-2-2-2-220000200002222000022-20000-2-200-2-200-220000000000000
χ262222222222-2-2-2-2-2-22000020000-2-2-2-2000022-2000022002200-2-20000000000000
χ272222222222-2-2-2-2-2-2200002222200000000-2-2200-2-200-2-20000202000000000000
χ282222222222-2-2-2-2-2-2200002-2-2-2-200000000-2-2200220022000020-2000000000000
χ2944444-4-44-4-400000040000-400000000000000000000000000000000002i−2i2i−2i0000
χ3044444-4-44-4-400000040000-40000000000000000000000000000000000−2i2i−2i2i0000
χ3144444-4-44-4-4000000-40000400000000000000000000000000000000002-2-220000
χ3244444-4-44-4-4000000-4000040000000000000000000000000000000000-222-20000
χ334444-44-4-44-400440-40000000000000000000000000000000000002-22-200000000
χ344444-44-4-44-400440-4000000000000000000000000000000000000-22-2200000000
χ354444-44-4-44-400-4-4040000000000000000000000000000000000002i−2i−2i2i00000000
χ364444-44-4-44-400-4-404000000000000000000000000000000000000−2i2i2i−2i00000000
χ374444-4-44-4-444400-400000000000000044-4-4000000000000000000000000000000
χ384444-4-44-4-444400-4000000000000000-4-444000000000000000000000000000000
χ394444-4-44-4-44-4-40040044-4-40000000000000000000000000000000000000000000
χ404444-4-44-4-44-4-400400-4-4440000000000000000000000000000000000000000000
χ4144-4-400400-44-400000000002i2i−2i−2i22-2-2004i−4i0000000002i−2i2-200000000000000000
χ4244-4-400400-44-400000000002i2i−2i−2i-2-22200−4i4i0000000002i−2i-2200000000000000000
χ4344-4-400400-44-40000000000−2i−2i2i2i22-2-200−4i4i000000000−2i2i2-200000000000000000
χ4444-4-400400-44-40000000000−2i−2i2i2i-2-222004i−4i000000000−2i2i-2200000000000000000
χ4544-4-400400-4-4400000000002i2i−2i−2i22-2-24i−4i00000000000−2i2i-2200000000000000000
χ4644-4-400400-4-4400000000002i2i−2i−2i-2-222−4i4i00000000000−2i2i2-200000000000000000
χ4744-4-400400-4-440000000000−2i−2i2i2i22-2-2−4i4i000000000002i−2i-2200000000000000000
χ4844-4-400400-4-440000000000−2i−2i2i2i-2-2224i−4i000000000002i−2i2-200000000000000000
χ494-4-440-40040004-40002-22-202-22-22-22-200000002-22-22-2000000000000000000000
χ504-4-440-40040004-40002-22-20-22-22-22-2200000002-2-22-22000000000000000000000
χ514-4-440-40040004-4000-22-2202-22-2-22-220000000-222-2-22000000000000000000000
χ524-4-440-40040004-4000-22-220-22-222-22-20000000-22-222-2000000000000000000000
χ534-4-440-4004000-440002-22-202-22-22-22-20000000-22-22-22000000000000000000000
χ544-4-440-4004000-440002-22-20-22-22-22-220000000-222-22-2000000000000000000000
χ554-4-440-4004000-44000-22-2202-22-2-22-2200000002-2-222-2000000000000000000000
χ564-4-440-4004000-44000-22-220-22-222-22-200000002-22-2-22000000000000000000000
χ5788-8-800-800800000000000000000000000000000000000004-4000000000000000
χ5888-8-800-80080000000000000000000000000000000000000-44000000000000000
χ598-88-8800-8000000000000004i−4i−4i4i00000000000000000000000000000000000000
χ608-88-8800-800000000000000−4i4i4i−4i00000000000000000000000000000000000000
χ618-88-8-80080000000000000000004-4-440000000000000000000000000000000000
χ628-88-8-8008000000000000000000-444-40000000000000000000000000000000000
χ638-8-880800-8000000004-4-440000000000000000000000000000000000000000000
χ648-8-880800-800000000-444-40000000000000000000000000000000000000000000

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