Finite Group Databasebeta

← Group #72304021

Character table — Group #72304021

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222224424444444444422222222444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1
χ9111111111111-1-11-1-1-11111111111-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1
χ10111111111111-1-11-1-1-11111111111-1-11-1-1-11-1-1-111-1-111111111-1-1-1-1-1-111-1-1-11-11
χ11111111111111-1-11-1-1-11111111111-1-1-1111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11-11
χ12111111111111-1-11-1-1-11111111111-1-1-11-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111-11-1
χ13111111111111-1-11-1-1-1-1-1-1-11111-1-1111-1111-1-1-111-1-1-1-1-1-1111111-1-1-11-1-1111-1-11
χ14111111111111-1-11-1-1-1-1-1-1-11111-1-1111-1-1-11-1-1-111-1-11111-1-1-1-111111-1-1-111-111-1
χ15111111111111-1-11-1-1-1-1-1-1-11111-1-111-1111-11-1-1-1-111-1-1-1-1111111-1-1-1111-1-1-111-1
χ16111111111111-1-11-1-1-1-1-1-1-11111-1-111-11-1-1-11-1-1-1-1111111-1-1-1-111111-111-1-11-1-11
χ172222222222222222222222-2-2-2-2-2-2-2-2000000-2-200000000000022000000000000
χ18222222222222222222-2-2-2-2-2-2-2-22222000000-2-2000000000000-2-2000000000000
χ19222222222222-2-22-2-2-22222-2-2-2-2-2-22200000022000000000000-2-2000000000000
χ20222222222222-2-22-2-2-2-2-2-2-2-2-2-2-222-2-20000002200000000000022000000000000
χ212222222222-2-222-22-2-2000022-2-200000000002-20000000022-2-20022-2000000000
χ222222222222-2-222-22-2-2000022-2-200000000002-200000000-2-22200-2-22000000000
χ232222222222-2-222-22-2-20000-2-2220000002200-22000022-2-2000000000-200000000
χ242222222222-2-222-22-2-20000-2-222000000-2-200-220000-2-222000000000200000000
χ252222222222-2-2-2-2-2-222000022-2-20000000000-220000000022-2-200-2-22000000000
χ262222222222-2-2-2-2-2-222000022-2-20000000000-2200000000-2-2220022-2000000000
χ272222222222-2-2-2-2-2-2220000-2-22200000022002-20000-2-222000000000-200000000
χ282222222222-2-2-2-2-2-2220000-2-222000000-2-2002-2000022-2-2000000000200000000
χ292222-2-2-2-2222200-200022-2-22-22-22-2000200020000-2-200000000000000002-20000
χ302222-2-2-2-2222200-200022-2-22-22-22-2000-2000-20000220000000000000000-220000
χ312222-2-2-2-2222200-200022-2-2-22-22-220020002000-2-200000000000000002-2000000
χ322222-2-2-2-2222200-200022-2-2-22-22-2200-2000-2000220000000000000000-22000000
χ332222-2-2-2-2222200-2000-2-2222-22-2-22000200020000-2-20000000000000000-220000
χ342222-2-2-2-2222200-2000-2-2222-22-2-22000-2000-200002200000000000000002-20000
χ352222-2-2-2-2222200-2000-2-222-22-222-20020002000-2-20000000000000000-22000000
χ362222-2-2-2-2222200-2000-2-222-22-222-200-2000-20002200000000000000002-2000000
χ37444444-4-4-4-40000004-40000000000002200-2-2002-22-20000000000000000000000
χ38444444-4-4-4-40000004-4000000000000-2-2002200-22-220000000000000000000000
χ39444444-4-4-4-4000000-440000000000002-200-22002-2-220000000000000000000000
χ40444444-4-4-4-4000000-44000000000000-22002-200-222-20000000000000000000000
χ414444-4-444-4-400440-4000000000000002200-2-200-22-220000000000000000000000
χ424444-4-444-4-400440-400000000000000-2-20022002-22-20000000000000000000000
χ434444-4-444-4-400-4-404000000000000002-200-2200-222-20000000000000000000000
χ444444-4-444-4-400-4-40400000000000000-22002-2002-2-220000000000000000000000
χ454444-4-4-4-444-4-400400000004-4-4400000000000000000000000000000000000000
χ464444-4-4-4-444-4-40040000000-444-400000000000000000000000000000000000000
χ4744-4-400004-44-4000000004i−4i000000000000000000002i−2i2i−2i2-22-200000000000000
χ4844-4-400004-44-4000000004i−4i00000000000000000000−2i2i−2i2i-22-2200000000000000
χ4944-4-400004-44-400000000−4i4i000000000000000000002i−2i2i−2i-22-2200000000000000
χ5044-4-400004-44-400000000−4i4i00000000000000000000−2i2i−2i2i2-22-200000000000000
χ5144-4-400004-4-440000004i−4i00000000000000000000002i−2i−2i2i2-2-2200000000000000
χ5244-4-400004-4-440000004i−4i0000000000000000000000−2i2i2i−2i-222-200000000000000
χ5344-4-400004-4-44000000−4i4i00000000000000000000002i−2i−2i2i-222-200000000000000
χ5444-4-400004-4-44000000−4i4i0000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5588-8-80000-8800000000000000000000000000000000000000004i−4i000000000000
χ5688-8-80000-880000000000000000000000000000000000000000−4i4i000000000000
χ578-88-8008-8000000000000000000004-40000000000000000000000000000000000
χ588-88-8008-800000000000000000000-440000000000000000000000000000000000
χ598-88-800-8800008-800000000000000000000000000000000000000000000000000
χ608-88-800-880000-8800000000000000000000000000000000000000000000000000
χ618-8-888-800000000000000000000000000000000000000000000004-40000000000
χ628-8-888-80000000000000000000000000000000000000000000000-440000000000
χ638-8-88-88000000000000000000000000004-4000000000000000000000000000000
χ648-8-88-8800000000000000000000000000-44000000000000000000000000000000

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