Finite Group Databasebeta

← Group #72252002

Character table — Group #72252002

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222224422222444444422222244444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-1111111111-1-111111111-1-111-1-111-1-1-1-111-1-11-1-1-1-1-111-1-1
χ6111111111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-111-1-1-1-111-11-1-1-1-1-1-111
χ7111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-11111-1-111
χ8111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11111111-1-1
χ91111111111-1-111-111111-1-11111-1-1-1-11-111-1-11-1-1-11111111111-1-1-1-1-1-111-1-11-11-1
χ101111111111-1-111-111111-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-11
χ111111111111-1-111-111111-1-11111-1-1-1-1-11-1-111-11-1-11111111111-1-1-1-1-1-1-1-111-11-11
χ121111111111-1-111-111111-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1
χ131111111111-1-111-1-1-1-1-11-1-11111-1-1111-111-1-11-11111-1-111-1-1-1-1-1-111-11-1-1111-1-11
χ141111111111-1-111-1-1-1-1-11-1-11111-1-1111-111-1-11-111-1-111-1-111-1-111-1-11-1-1-111-111-1
χ151111111111-1-111-1-1-1-1-11-1-11111-1-111-11-1-111-111111-1-111-1-1-1-1-1-111-1111-1-1-111-1
χ161111111111-1-111-1-1-1-1-11-1-11111-1-111-11-1-111-1111-1-111-1-111-1-111-1-11-111-1-11-1-11
χ172222222222222222222222-2-2-2-2-2-22200000000-2-200000000-2-200000000000000
χ18222222222222222-2-2-2-2222-2-2-2-2-2-2-2-20000000022000000002200000000000000
χ19222222222222-2-220000-2-2-222-2-22-2000000000000002200-2-20000-2-20200000000
χ20222222222222-2-220000-2-2-222-2-22-200000000000000-2-200220000220-200000000
χ21222222222222-2-220000-2-2-2-2-222-220000000000002200-2-20000-2-2002000000000
χ22222222222222-2-220000-2-2-2-2-222-22000000000000-2-2002200002200-2000000000
χ232222222222-2-222-222222-2-2-2-2-2-222-2-2000000002200000000-2-200000000000000
χ242222222222-2-222-2-2-2-2-22-2-2-2-2-2-2222200000000-2-2000000002200000000000000
χ252222222222-2-2-2-2-20000-22222-2-2-22000000000000002200-2-20000220-200000000
χ262222222222-2-2-2-2-20000-22222-2-2-2200000000000000-2-200220000-2-20200000000
χ272222222222-2-2-2-2-20000-222-2-2222-20000000000002200-2-200002200-2000000000
χ282222222222-2-2-2-2-20000-222-2-2222-2000000000000-2-200220000-2-2002000000000
χ292222-22-2-2-220022022-2-2-2002-22-2000002002-20-200000000002-2000000002-20000
χ302222-22-2-2-220022022-2-2-2002-22-200000-200-220200000000002-200000000-220000
χ312222-22-2-2-220022022-2-2-200-22-220000202-200-200000000000-220000002-2000000
χ322222-22-2-2-220022022-2-2-200-22-220000-20-2200200000000000-22000000-22000000
χ332222-22-2-2-2200220-2-222-2002-22-2000002002-20-20000000000-2200000000-220000
χ342222-22-2-2-2200220-2-222-2002-22-200000-200-22020000000000-22000000002-20000
χ352222-22-2-2-2200220-2-222-200-22-220000202-200-2000000000002-2000000-22000000
χ362222-22-2-2-2200220-2-222-200-22-220000-20-22002000000000002-20000002-2000000
χ3744444-4-4-44-400000000004-40000000022-22-22-2-200000000000000000000000000
χ3844444-4-4-44-400000000004-400000000-2-22-22-22200000000000000000000000000
χ3944444-4-4-44-40000000000-44000000002-2-222-2-2200000000000000000000000000
χ4044444-4-4-44-40000000000-4400000000-222-2-222-200000000000000000000000000
χ414444-44-4-4-4400-4-4000004004-4-4400000000000000000000000000000000000000
χ424444-44-4-4-4400-4-400000400-444-400000000000000000000000000000000000000
χ434444-4-444-4-44400-400000000000000022-2-2-2-22200000000000000000000000000
χ444444-4-444-4-44400-4000000000000000-2-22222-2-200000000000000000000000000
χ454444-4-444-4-4-4-40040000000000000002-2-2-2222-200000000000000000000000000
χ464444-4-444-4-4-4-4004000000000000000-2222-2-2-2200000000000000000000000000
χ4744-4-404000-4004-40004-40000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4844-4-404000-4004-40004-4000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4944-4-404000-4004-4000-440000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ5044-4-404000-4004-4000-44000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5144-4-404000-400-4404-4000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ5244-4-404000-400-4404-400000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ5344-4-404000-400-440-44000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5444-4-404000-400-440-4400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5588-8-80-800080000000000000000004-40000000000000000000000000000000000
χ5688-8-80-80008000000000000000000-440000000000000000000000000000000000
χ578-88-88000-8000000000000000000000000000000000000000004i−4i000000000000
χ588-88-88000-800000000000000000000000000000000000000000−4i4i000000000000
χ598-88-8-8000800000000000000000000000000000000000000000004-40000000000
χ608-88-8-800080000000000000000000000000000000000000000000-440000000000
χ618-8-88008-80000000000000000000000000000004-4000000000000000000000000
χ628-8-88008-8000000000000000000000000000000-44000000000000000000000000
χ638-8-8800-88008-80000000000000000000000000000000000000000000000000000
χ648-8-8800-8800-880000000000000000000000000000000000000000000000000000

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