Finite Group Databasebeta

← Group #72266327

Character table — Group #72266327

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111222244444444488888888888888161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222224444444444222222444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ911111111111-1-1-1-111-1-1111111-1-1-1-1111-11-11111-1-11-11-111-1-111-1-111-1-1-1-111-1-11-11-1
χ1011111111111-1-1-1-111-1-1111111-1-1-1-1111-11-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-11-11
χ1111111111111-1-1-1-111-1-1111111-1-1-1-111-11-111111-1-1-11-1111-1-1-1-111-1-111-1-111-1-1-11-11
χ1211111111111-1-1-1-111-1-1111111-1-1-1-111-11-11-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1111-11-1
χ1311111111111-1-1-1-111-1-111-1-1-1-11111111-1-111111-1-11-1-11-1-11111-1-1-1-111-1-1-1-1111-1-11
χ1411111111111-1-1-1-111-1-111-1-1-1-11111111-1-11-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111111-1-1-111-1
χ1511111111111-1-1-1-111-1-111-1-1-1-1111111-111-11111-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-111-1
χ1611111111111-1-1-1-111-1-111-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-11-1-11
χ172222222222222222222-2-222222222-2-200000000-2-20000-2-2-2-2000000000000000000
χ182222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200002222000000000000000000
χ1922222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-200000000220000-2-222000000000000000000
χ2022222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-20000000022000022-2-2000000000000000000
χ21222222222-2-22222-2-2-2-22200000000-2-2220000002-222000000-2-2-2-200000000000000
χ22222222222-2-22222-2-2-2-22200000000-2-2-2-20000002-2-2-2000000222200000000000000
χ23222222222-2-22222-2-2-2-2-2-2000000002200220000-22002200000000-2-2-2-20000000000
χ24222222222-2-22222-2-2-2-2-2-2000000002200-2-20000-2200-2-20000000022220000000000
χ25222222222-2-2-2-2-2-2-2-2222200000000-2-22-2000000-222-2000000-2-22200000000000000
χ26222222222-2-2-2-2-2-2-2-2222200000000-2-2-22000000-22-2200000022-2-200000000000000
χ27222222222-2-2-2-2-2-2-2-222-2-20000000022002-200002-2002-200000000-2-2220000000000
χ28222222222-2-2-2-2-2-2-2-222-2-2000000002200-2200002-200-220000000022-2-20000000000
χ292222-2-222-22-200002-2002-2000022-2-22-202200000000-2-20002-2002-22-2000000000000
χ302222-2-222-22-200002-2002-2000022-2-22-20-2-200000000220002-200-22-22000000000000
χ312222-2-222-22-200002-2002-20000-2-2222-202-200000000-22000-22002-2-22000000000000
χ322222-2-222-22-200002-2002-20000-2-2222-20-22000000002-2000-2200-222-2000000000000
χ332222-2-222-22-200002-200-22000022-2-2-222002000000-200-200-222-200002-20000000000
χ342222-2-222-22-200002-200-22000022-2-2-22-200-2000000200200-22-220000-220000000000
χ352222-2-222-22-200002-200-220000-2-222-22200-2000000-2002002-22-20000-220000000000
χ362222-2-222-22-200002-200-220000-2-222-22-2002000000200-2002-2-2200002-20000000000
χ372222-2-222-2-220000-22002-222-2-20000-2202020000000-20-22-20000-2200-220000000000
χ382222-2-222-2-220000-22002-222-2-20000-220-20-200000002022-200002-2002-20000000000
χ392222-2-222-2-220000-22002-2-2-2220000-22020-20000000-202-220000-22002-20000000000
χ402222-2-222-2-220000-22002-2-2-2220000-220-202000000020-2-2200002-200-220000000000
χ412222-2-222-2-220000-2200-2222-2-200002-22020000000-20-20-2200-2200-22000000000000
χ422222-2-222-2-220000-2200-2222-2-200002-2-20-200000002020-22002-2002-2000000000000
χ432222-2-222-2-220000-2200-22-2-22200002-220-20000000-20202-200-22002-2000000000000
χ442222-2-222-2-220000-2200-22-2-22200002-2-202000000020-202-2002-200-22000000000000
χ45444444-4-4-40044-4-40000000000000000000022-2-20000000000000000002-200000000
χ46444444-4-4-40044-4-400000000000000000000-2-222000000000000000000-2200000000
χ47444444-4-4-400-4-4440000000000000000000022-2-2000000000000000000-2200000000
χ48444444-4-4-400-4-44400000000000000000000-2-2220000000000000000002-200000000
χ4944-4-4004-400400000-40000004i−4i00000000002-22-2000000000000000000002i−2i000000
χ5044-4-4004-400400000-40000004i−4i0000000000-22-2200000000000000000000−2i2i000000
χ5144-4-4004-400400000-4000000−4i4i00000000002-22-200000000000000000000−2i2i000000
χ5244-4-4004-400400000-4000000−4i4i0000000000-22-22000000000000000000002i−2i000000
χ5344-4-400-440400000-4000000000004i−4i0000002-2-2200000000000000000000002i−2i0000
χ5444-4-400-440400000-4000000000004i−4i000000-222-20000000000000000000000−2i2i0000
χ5544-4-400-440400000-400000000000−4i4i0000002-2-220000000000000000000000−2i2i0000
χ5644-4-400-440400000-400000000000−4i4i000000-222-200000000000000000000002i−2i0000
χ578888-8-8-8-880000000000000000000000000000000000000000000000000000000000
χ5888-8-8008-800-800000800000000000000000000000000000000000000000000000000
χ5988-8-800-880-8000008000000000000000000000000000000000000000000000000000
χ608-88-800000000000004-4004-4004-40000000000000000000000000000000000000000
χ618-88-800000000000004-400-4400-440000000000000000000000000000000000000000
χ628-88-80000000000000-44004-400-440000000000000000000000000000000000000000
χ638-88-80000000000000-4400-44004-40000000000000000000000000000000000000000
χ648-8-888-800000008-80000000000000000000000000000000000000000000000000000
χ658-8-888-80000000-880000000000000000000000000000000000000000000000000000
χ668-8-88-88000008-8000000000000000000000000000000000000000000000000000000
χ678-8-88-8800000-88000000000000000000000000000000000000000000000000000000

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