Finite Group Databasebeta

← Group #72317683

Character table — Group #72317683

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222224422244444444422222444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111-1-11111111-1-1-1-111-1-111-1-1-1-111-11-1-1-1-111-1-1
χ711111111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1111111-1-1
χ811111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-111111-1-111
χ9111111111111-1-1111-1-1-1111111-11-111-111-1-11111-1-11-1-1-1-1-1-1-11111-1-111-1-11-11-1
χ10111111111111-1-1111-1-1-1111111-11-1-1-1-111-1-1-1-111-1-11-11111-1-1-1-1-1-11111-1-1-11-11
χ11111111111111-1-1111-1-1-1111111-1-1111-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-111-11-11
χ12111111111111-1-1111-1-1-1111111-1-11-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-111-1-1111-11-1
χ13111111111111-1-1111-1-1-1-1-1-1-111-11-111-111-1-1-1-1-1-1111-1-1-1111111-1-1-11-1-111-111-1
χ14111111111111-1-1111-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1111-111-1-111-1-1111-1-1-1111-1-11
χ15111111111111-1-1111-1-1-1-1-1-1-111-1-1111-1-1-111-1-1-1-111-11-1-1111111-1-1-1111-1-11-1-11
χ16111111111111-1-1111-1-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-111-1111-1-111-1-1111-111-1-1-111-1
χ17222222222222222-2-22222222-2-2-20000-2000000-2-2-2-20000002200000000000000
χ18222222222222222-2-2222-2-2-2-2-2-2-20000-20000002222000000-2-200000000000000
χ19222222222222-2-22-2-2-2-2-22222-2-2200002000000-2-222000000-2-200000000000000
χ20222222222222-2-22-2-2-2-2-2-2-2-2-2-2-220000200000022-2-20000002200000000000000
χ212222222222-2-222-2222-2-20000-2-220000-200002200000000-2-20000-2-20200000000
χ222222222222-2-222-2222-2-20000-2-220000-20000-2-200000000220000220-200000000
χ232222222222-2-222-2-2-22-2-2000022-200222000000000000220000-2-200-2000000000
χ242222222222-2-222-2-2-22-2-2000022-200-2-22000000000000-2-2000022002000000000
χ252222222222-2-2-2-2-222-2220000-2-2-20000200002200000000220000-2-20-200000000
χ262222222222-2-2-2-2-222-2220000-2-2-2000020000-2-200000000-2-20000220200000000
χ272222222222-2-2-2-2-2-2-2-22200002220022-2000000000000-2-20000-2-2002000000000
χ282222222222-2-2-2-2-2-2-2-222000022200-2-2-20000000000002200002200-2000000000
χ292222-2-2-2-2222200-22-200022-2-22-2002000002-2002-2000-2000000000000002-20000
χ302222-2-2-2-2222200-22-200022-2-22-200-200000-22002-2000200000000000000-220000
χ312222-2-2-2-2222200-22-2000-2-2222-2002000002-200-22000-200000000000000-220000
χ322222-2-2-2-2222200-22-2000-2-2222-200-200000-2200-220002000000000000002-20000
χ332222-2-2-2-2222200-2-2200022-2-2-220200002-20000-2200-200000000000002-2000000
χ342222-2-2-2-2222200-2-2200022-2-2-220-20000-220000-220020000000000000-22000000
χ352222-2-2-2-2222200-2-22000-2-222-220200002-200002-200-20000000000000-22000000
χ362222-2-2-2-2222200-2-22000-2-222-220-20000-2200002-200200000000000002-2000000
χ37444444-4-4-4-4000000004-4000000022000-22-22000000-2-200000000000000000000
χ38444444-4-4-4-4000000004-40000000-2-20002-22-20000002200000000000000000000
χ39444444-4-4-4-400000000-4400000002-2000-222-2000000-2200000000000000000000
χ40444444-4-4-4-400000000-440000000-220002-2-220000002-200000000000000000000
χ414444-4-444-4-40044000-400000000022000-2-2-2-20000002200000000000000000000
χ424444-4-444-4-40044000-4000000000-2-20002222000000-2-200000000000000000000
χ434444-4-444-4-400-4-400040000000002-2000-2-2220000002-200000000000000000000
χ444444-4-444-4-400-4-40004000000000-2200022-2-2000000-2200000000000000000000
χ454444-4-4-4-444-4-40044-40000000-4400000000000000000000000000000000000000
χ464444-4-4-4-444-4-4004-4400000004-400000000000000000000000000000000000000
χ4744-4-400004-44-400000000004i−4i000002-2000002i−2i0000000000002-22i−2i0000000000
χ4844-4-400004-44-400000000004i−4i00000-2200000−2i2i000000000000-22−2i2i0000000000
χ4944-4-400004-44-40000000000−4i4i000002-200000−2i2i0000000000002-2−2i2i0000000000
χ5044-4-400004-44-40000000000−4i4i00000-22000002i−2i000000000000-222i−2i0000000000
χ5144-4-400004-4-44000000004i−4i00000002-2000002i−2i000000000000-22−2i2i0000000000
χ5244-4-400004-4-44000000004i−4i0000000-2200000−2i2i0000000000002-22i−2i0000000000
χ5344-4-400004-4-4400000000−4i4i00000002-200000−2i2i000000000000-222i−2i0000000000
χ5444-4-400004-4-4400000000−4i4i0000000-22000002i−2i0000000000002-2−2i2i0000000000
χ5588-8-80000-88000000000000000000000000000000000000004i−4i00000000000000
χ5688-8-80000-8800000000000000000000000000000000000000−4i4i00000000000000
χ578-88-88-800000000000000000000000000000000000000004i−4i0000000000000000
χ588-88-88-80000000000000000000000000000000000000000−4i4i0000000000000000
χ598-88-8-88000000000000000000000000000000000000004i−4i000000000000000000
χ608-88-8-8800000000000000000000000000000000000000−4i4i000000000000000000
χ618-8-88008-8000000000000000000000000000000004-40000000000000000000000
χ628-8-88008-800000000000000000000000000000000-440000000000000000000000
χ638-8-8800-8800008-800000000000000000000000000000000000000000000000000
χ648-8-8800-880000-8800000000000000000000000000000000000000000000000000

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