Finite Group Databasebeta

← Group #72317791

Character table — Group #72317791

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444888888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222224444222222244444444222224444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-1-11-11111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-11111
χ511111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1
χ611111111111111111-1-1-1-11111-1-1-1-111111-1-11111111-1-111-1-1111-11-1-1-1-1-1-1-1-111
χ711111111111111111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-111
χ811111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-111-1-1111-11-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-1-1-1-1-111111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-111-11-1-1-11-1-111-1-111-1-1-1-11111-11-111-1-1-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1111-11-1-1-111-1-111-1-1-1-1-1-1111-1-111-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-111-1-11-1-1-11-1-1-11111-1-1-1-11111-11-1-1-1111-11-1
χ13111111111111-1-1-1-11-1-1-1-111-1-1111111-11-1111-1-111-1-1-1-1-1-111111-1-1-11-1-1111-1-11
χ14111111111111-1-1-1-11-1-1-1-111-1-1111111-11-1-1-11-1-111-1-1111111-1-1-111-1-1-1-111-111-1
χ15111111111111-1-1-1-11-1-1-1-111-1-1111111-1-1111-11-1-1-111-1-1-1-111111-1-1-1111-1-1-111-1
χ16111111111111-1-1-1-11-1-1-1-111-1-1111111-1-11-1-1-11-1-1-111111111-1-1-111-1-111-1-11-1-11
χ17222222222222222222222-2-2222222-2-2-2000000-200000000-2-200000-2000000000
χ1822222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2000000-20000000022000002000000000
χ19222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-220000002000000002200000-2000000000
χ20222222222222-2-2-2-22-2-2-2-2-2-2-2-22222-2-22000000200000000-2-2000002000000000
χ212222222222-2-222-2-2-20000222-20000-2-22002200-20000-2-20000000200-200000000
χ222222222222-2-222-2-2-20000222-20000-2-2200-2-200-20000220000000-200200000000
χ232222222222-2-222-2-2-20000-2-22-2000022-200000020000002200-2-220-20000000000
χ242222222222-2-222-2-2-20000-2-22-2000022-20000002000000-2-20022-2020000000000
χ252222222222-2-2-2-222-2000022-220000-2-2-200220020000220000000-200-200000000
χ262222222222-2-2-2-222-2000022-220000-2-2-200-2-20020000-2-20000000200200000000
χ272222222222-2-2-2-222-20000-2-2-220000222000000-2000000220022-20-20000000000
χ282222222222-2-2-2-222-20000-2-2-220000222000000-2000000-2-200-2-22020000000000
χ292222-2-2-2-222220000-200002-20022-2-22-2002000-20002-200002-200000002-2000000
χ302222-2-2-2-222220000-200002-20022-2-22-200-20002000-2200002-20000000-22000000
χ312222-2-2-2-222220000-200002-200-2-2222-2002000-20002-20000-220000000-22000000
χ322222-2-2-2-222220000-200002-200-2-2222-200-20002000-220000-2200000002-2000000
χ332222-2-2-2-222220000-20000-220022-2-2-2202000-2002-2000000-220000000002-20000
χ342222-2-2-2-222220000-20000-220022-2-2-220-2000200-22000000-22000000000-220000
χ352222-2-2-2-222220000-20000-2200-2-222-2202000-2002-20000002-2000000000-220000
χ362222-2-2-2-222220000-20000-2200-2-222-220-2000200-220000002-20000000002-20000
χ37444444-4-4-4-400004400000000-400000002-2002-20-2-222000000000000000000000
χ38444444-4-4-4-400004400000000-40000000-2200-22022-2-2000000000000000000000
χ39444444-4-4-4-40000-4-400000000400000002200220-2-2-2-2000000000000000000000
χ40444444-4-4-4-40000-4-40000000040000000-2-200-2-202222000000000000000000000
χ414444-4-444-4-40044000000000-4000000002200-2-20-22-22000000000000000000000
χ424444-4-444-4-40044000000000-400000000-2-2002202-22-2000000000000000000000
χ434444-4-444-4-400-4-40000000004000000002-200-220-222-2000000000000000000000
χ444444-4-444-4-400-4-4000000000400000000-22002-202-2-22000000000000000000000
χ454444-4-4-4-444-4-40000400004-4000000-44000000000000000000000000000000000
χ464444-4-4-4-444-4-4000040000-440000004-4000000000000000000000000000000000
χ4744-4-44-4000000004i−4i022-2-200002i−2i2i−2i000002-200000002i−2i2-2002i−2i0000000000000
χ4844-4-44-4000000004i−4i022-2-200002i−2i2i−2i00000-220000000−2i2i-2200−2i2i0000000000000
χ4944-4-44-4000000004i−4i0-2-2220000−2i2i−2i2i000002-200000002i−2i-2200−2i2i0000000000000
χ5044-4-44-4000000004i−4i0-2-2220000−2i2i−2i2i00000-220000000−2i2i2-2002i−2i0000000000000
χ5144-4-44-400000000−4i4i022-2-20000−2i2i−2i2i000002-20000000−2i2i2-200−2i2i0000000000000
χ5244-4-44-400000000−4i4i022-2-20000−2i2i−2i2i00000-2200000002i−2i-22002i−2i0000000000000
χ5344-4-44-400000000−4i4i0-2-22200002i−2i2i−2i000002-20000000−2i2i-22002i−2i0000000000000
χ5444-4-44-400000000−4i4i0-2-22200002i−2i2i−2i00000-2200000002i−2i2-200−2i2i0000000000000
χ5588-8-8-8800000000000000000004i−4i−4i4i00000000000000000000000000000000000
χ5688-8-8-880000000000000000000−4i4i4i−4i00000000000000000000000000000000000
χ578-88-800008-800000004-44-40000000000000000000000000000000000000000000
χ588-88-800008-80000000-44-440000000000000000000000000000000000000000000
χ598-88-80000-888-80000000000000000000000000000000000000000000000000000
χ608-88-80000-88-880000000000000000000000000000000000000000000000000000
χ618-8-88008-80000000004-4-440000000000000000000000000000000000000000000
χ628-8-88008-8000000000-444-40000000000000000000000000000000000000000000
χ638-8-8800-8800008-800000000000000000000000000000000000000000000000000
χ648-8-8800-880000-8800000000000000000000000000000000000000000000000000

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