Finite Group Databasebeta

← Group #72266436

Character table — Group #72266436

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444888888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222222222222224444444444222222444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ91111111111-1-1-1-1111-1-1111111-1-1-1-11111111-1-1-111-1-11-1111111-1-1-1-1-111-1-11-11-1
χ101111111111-1-1-1-1111-1-1111111-1-1-1-1111111-11-1-1-1-111-11111111-1-1-1-1-1-1-111-11-11
χ111111111111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-11-1-1-111-1-11-111-1-1-1-1-1111111-1-1-11-11
χ121111111111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-1-11-1-1-1-111-1111-1-1-1-1-11111-1-1111-11-1
χ131111111111-1-1-1-1111-1-111-1-1-1-111111111-1-11-1-1-111-1-11-1-1-111-1-11-1-111-1-1111-1-11
χ141111111111-1-1-1-1111-1-111-1-1-1-111111111-1-1-11-1-1-1-111-11-1-111-1-11-1-11111-1-1-111-1
χ151111111111-1-1-1-1111-1-111-1-1-1-1111111-1-1111-1-1-111-1-11-1-1-1-1-111111-1-1-1-111-111-1
χ161111111111-1-1-1-1111-1-111-1-1-1-1111111-1-111-11-1-1-1-111-11-1-1-1-111111-1-111-1-11-1-11
χ172222222222222222222-2-222222222-2-2000000-2-2000000-2-20000-2000000000000
χ182222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000-2-20000002200002000000000000
χ19222222222222-2-2-2-2-22-22200000000-2-22200002-200000000-2-20002-20000000000
χ20222222222222-2-2-2-2-22-22200000000-2-2-2-200002-20000000022000-220000000000
χ21222222222222-2-2-2-2-22-2-2-20000000022002200-220000000000-2-20002-200000000
χ22222222222222-2-2-2-2-22-2-2-2000000002200-2-200-22000000000022000-2200000000
χ232222222222-2-222-2-2-2-222200000000-2-2220000-2200000000-2-2000-220000000000
χ242222222222-2-222-2-2-2-222200000000-2-2-2-20000-2200000000220002-20000000000
χ252222222222-2-222-2-2-2-22-2-200000000220022002-20000000000-2-2000-2200000000
χ262222222222-2-222-2-2-2-22-2-2000000002200-2-2002-20000000000220002-200000000
χ272222222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-200000022000000-2-200002000000000000
χ282222222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-200000022000000220000-2000000000000
χ292222-2-22-2-22000022-2002-222-2-200002-20000020000-2-2022-2000000000002-20000
χ302222-2-22-2-22000022-2002-222-2-200002-200000-20000220-22-200000000000-220000
χ312222-2-22-2-22000022-2002-2-2-22200002-20000020000-2-202-2200000000000-220000
χ322222-2-22-2-22000022-2002-2-2-22200002-200000-20000220-2-22000000000002-20000
χ332222-2-22-2-22000022-200-2222-2-20000-2200002000-2-20020-220000000002-2000000
χ342222-2-22-2-22000022-200-2222-2-20000-220000-20002200-20-22000000000-22000000
χ352222-2-22-2-22000022-200-22-2-2220000-2200002000-2-200202-2000000000-22000000
χ362222-2-22-2-22000022-200-22-2-2220000-220000-20002200-202-20000000002-2000000
χ3744444-4-44-4-400440000-4000000000000000022002-22-2-2-20000000000000000000
χ3844444-4-44-4-400440000-40000000000000000-2-200-22-22220000000000000000000
χ3944444-4-44-4-400-4-40000400000000000000002-2002-2-22-220000000000000000000
χ4044444-4-44-4-400-4-4000040000000000000000-2200-222-22-20000000000000000000
χ414444-44-4-44-44400000-4000000000000000002200-22-22-2-20000000000000000000
χ424444-44-4-44-44400000-400000000000000000-2-2002-22-2220000000000000000000
χ434444-44-4-44-4-4-4000004000000000000000002-200-222-2-220000000000000000000
χ444444-44-4-44-4-4-400000400000000000000000-22002-2-222-20000000000000000000
χ454444-4-44-4-440000-4-44004-400000000-44000000000000000000000000000000000
χ464444-4-44-4-440000-4-4400-44000000004-4000000000000000000000000000000000
χ474-4-4400-400400004-400000004-40000002-22-20000000000002-22-20000000000000
χ484-4-4400-400400004-400000004-4000000-22-22000000000000-22-220000000000000
χ494-4-4400-400400004-40000000-440000002-2-220000000000002-2-220000000000000
χ504-4-4400-400400004-40000000-44000000-222-2000000000000-222-20000000000000
χ514-4-4400-40040000-44000004-4000000002-22-2000000000000-22-220000000000000
χ524-4-4400-40040000-44000004-400000000-22-220000000000002-22-20000000000000
χ534-4-4400-40040000-4400000-44000000002-2-22000000000000-222-20000000000000
χ544-4-4400-40040000-4400000-4400000000-222-20000000000002-2-220000000000000
χ5588-8-80800-800000000000000004i4i−4i−4i00000000000000000000000000000000000
χ5688-8-80800-80000000000000000−4i−4i4i4i00000000000000000000000000000000000
χ5788-8-80-800808-80000000000000000000000000000000000000000000000000000
χ5888-8-80-80080-880000000000000000000000000000000000000000000000000000
χ598-88-8800-8000000000000000004i−4i4i−4i00000000000000000000000000000000000
χ608-88-8800-800000000000000000−4i4i−4i4i00000000000000000000000000000000000
χ618-88-8-800800008-800000000000000000000000000000000000000000000000000
χ628-88-8-80080000-8800000000000000000000000000000000000000000000000000
χ638-8-8800800-80000000000000004-4-4400000000000000000000000000000000000
χ648-8-8800800-8000000000000000-444-400000000000000000000000000000000000

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