Finite Group Databasebeta

← Group #72313536

Character table — Group #72313536

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1122244444444444444888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222244444444222222444444222244444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-1-1-1-1-11111-1-111111-1111-111-1-1111111-1-1-1-1-1-1-111-1-11-11-1
χ6111111111111111-1-1-1-1-1-1-1-11111-1-11111-1111-1111-1-11111-1-111-1-1-1-1-1-1-111-11-11
χ7111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11-111-1-1-1-1-1-111-1-1-1111111-1-1-11-11
χ8111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-11111-1-1111-11-1
χ911111111111-1-1-1-11111-1-1-1-111-1-111111-1111-111-1-11111-1-11111-111-1-1-1-1-1-11-1-11
χ1011111111111-1-1-1-11111-1-1-1-111-1-111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-111-1
χ1111111111111-1-1-1-11111-1-1-1-111-1-11111-1111-1111-1-111-1-1111111-1-1-111-1-1-1-1-111-1
χ1211111111111-1-1-1-11111-1-1-1-111-1-11111-11-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-11111111-1-11
χ1311111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-11-11-1-1-1-1-111-1-111-1-11-1-111-1-11111-1-1
χ1411111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111
χ1511111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-111
χ1611111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11-11-11-1-1-1-1-1-111-1-111111-1-111-1-111-1-1
χ1722222222222222222222222-2-22222-2-200000000-2-2-2-200000000-2000000000000
χ18222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-200000000-2-222000000002000000000000
χ1922222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-20000000022-2-2000000002000000000000
χ2022222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000222200000000-2000000000000
χ2122222-2-222-2-2000022-2-200002-2002-22-202000200002-200-2-200000002-200000000
χ2222222-2-222-2-2000022-2-200002-2002-22-20-2000-200002-200220000000-2200000000
χ2322222-2-222-2-2000022-2-20000-22002-2-222000200000-22-2-200000002-20000000000
χ2422222-2-222-2-2000022-2-20000-22002-2-22-2000-200000-22220000000-220000000000
χ2522222-2-222-2-20000-2-22200002-200-222-20200020000-2200-2-20000000-2200000000
χ2622222-2-222-2-20000-2-22200002-200-222-20-2000-20000-22002200000002-200000000
χ2722222-2-222-2-20000-2-2220000-2200-22-2220002000002-2-2-20000000-220000000000
χ2822222-2-222-2-20000-2-2220000-2200-22-22-2000-2000002-22200000002-20000000000
χ2922222-2-2-2-22222-2-2000000002-22-200-22000200022-200000000-2-200000002-20000
χ3022222-2-2-2-22222-2-2000000002-22-200-22000-2000-22-200000000220000000-220000
χ3122222-2-2-2-22222-2-200000000-222-2002-200200020-22000000-2-200000002-2000000
χ3222222-2-2-2-22222-2-200000000-222-2002-200-2000-20-22000000220000000-22000000
χ3322222-2-2-2-222-2-222000000002-2-2200-2200020002-2200000000-2-20000000-220000
χ3422222-2-2-2-222-2-222000000002-2-2200-22000-2000-2-22000000002200000002-20000
χ3522222-2-2-2-222-2-22200000000-22-22002-2002000202-2000000-2-20000000-22000000
χ3622222-2-2-2-222-2-22200000000-22-22002-200-2000-202-20000002200000002-2000000
χ374444444-4-4-4-4000000000000440000-4-4000000000000000000000000000000000
χ384444444-4-4-4-4000000000000-4-4000044000000000000000000000000000000000
χ3944-44-400004-4004400000000000-400002-200-220000002-22-200000000000000000
χ4044-44-400004-4004400000000000-40000-22002-2000000-22-2200000000000000000
χ4144-44-400004-400-4-400000000000400002200-2-20000002-2-2200000000000000000
χ4244-44-400004-400-4-40000000000040000-2-20022000000-222-200000000000000000
χ4344-44-40000-4444000000000000-4000002-200-22000000-22-2200000000000000000
χ4444-44-40000-4444000000000000-400000-22002-20000002-22-200000000000000000
χ4544-44-40000-44-4-40000000000004000002200-2-2000000-222-200000000000000000
χ4644-44-40000-44-4-4000000000000400000-2-200220000002-2-2200000000000000000
χ4744-4-44004-40000000044000000000-400002-200-22000000002-22-20000000000000
χ4844-4-44004-40000000044000000000-40000-22002-200000000-22-220000000000000
χ4944-4-44004-400000000-4-4000000000400002200-2-2000000002-2-220000000000000
χ5044-4-44004-400000000-4-400000000040000-2-2002200000000-222-20000000000000
χ5144-4-4400-44000000440000000000-4000002-200-2200000000-22-220000000000000
χ5244-4-4400-44000000440000000000-400000-22002-2000000002-22-20000000000000
χ5344-4-4400-44000000-4-400000000004000002200-2-200000000-222-20000000000000
χ5444-4-4400-44000000-4-40000000000400000-2-20022000000002-2-220000000000000
χ55888-8-80000000000000044-4-400000000000000000000000000000000000000000
χ56888-8-800000000000000-4-44400000000000000000000000000000000000000000
χ578-80004-400004i−4i4i−4i4i−4i4i−4i004-400000000000000000000000000000000000000000
χ588-80004-400004i−4i4i−4i−4i4i−4i4i00-4400000000000000000000000000000000000000000
χ598-80004-40000−4i4i−4i4i4i−4i4i−4i00-4400000000000000000000000000000000000000000
χ608-80004-40000−4i4i−4i4i−4i4i−4i4i004-400000000000000000000000000000000000000000
χ618-8000-4400004i−4i−4i4i4i−4i−4i4i4-40000000000000000000000000000000000000000000
χ628-8000-4400004i−4i−4i4i−4i4i4i−4i-440000000000000000000000000000000000000000000
χ638-8000-440000−4i4i4i−4i4i−4i−4i4i-440000000000000000000000000000000000000000000
χ648-8000-440000−4i4i4i−4i−4i4i4i−4i4-40000000000000000000000000000000000000000000

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