Finite Group Databasebeta

← Group #72260480

Character table — Group #72260480

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122222244448888888888888888888888881616161616161616161616161616161616161616161632323232323264646464
order1222222222224422244444444444444444444422222224444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-111-1-111-11-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-111111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111111-1-1-1-111-1-11-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-11-1111111-1-1
χ9111111111111-1-1111-1-1-1111111111111111111-1-1-1111-11-11-1-11-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1111-1-1-1111111111111111111-1-1-111-11-11-11-1-11-1-1-1-1-1-111-1-1-1-111-11-11
χ11111111111111-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-11-1-11-1-1-11111-1-11111-1-1-11-11
χ12111111111111-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-11-1-11-1-11111-1-111-1-1111-11-1
χ13111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11-11-11-1-11-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-11-11-11-1-1111-1-111111-111-1-1-111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-11-11-1-11-11111-1-1-1-1-11-1-111-111-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-11-11-11-1-111111-1-1-1-1-1111-1-11-1-11
χ17222222222222222-2-222222220000-2-2-2-20000-2-2-22200000000-200-2-20000000000000000
χ18222222222222222-2-2222-2-2-2-2000022220000-2-2-2-2-200000000-200220000000000000000
χ19222222222222-2-22-2-2-2-2-222220000-2-2-2-20000-2-22-2-200000000200220000000000000000
χ20222222222222-2-22-2-2-2-2-2-2-2-2-2000022220000-2-222200000000200-2-20000000000000000
χ212222222222-2-222-2222-2-20000222200000000-2-2-20000000000200002200-2-20-200000000
χ222222222222-2-222-2222-2-20000-2-2-2-200000000-2-2-2000000000020000-2-200220200000000
χ232222222222-2-222-2-2-22-2-2000000000000222222200-2-2000000-20000002200-2000000000
χ242222222222-2-222-2-2-22-2-2000000000000-2-2-2-22220022000000-2000000-2-2002000000000
χ252222222222-2-2-2-2-222-2220000222200000000-2-220000000000-20000-2-200-2-20200000000
χ262222222222-2-2-2-2-222-2220000-2-2-2-200000000-2-220000000000-200002200220-200000000
χ272222222222-2-2-2-2-2-2-2-222000000000000222222-200-2-20000002000000-2-2002000000000
χ282222222222-2-2-2-2-2-2-2-222000000000000-2-2-2-222-2002200000020000002200-2000000000
χ292222-22-2-2-222200-22-200022-2-2000022-2-200002-200000020-20-20020000000000002-20000
χ302222-22-2-2-222200-22-200022-2-2000022-2-200002-2000000-2020200-2000000000000-220000
χ312222-22-2-2-222200-22-2000-2-2220000-2-22200002-200000020-20-2002000000000000-220000
χ322222-22-2-2-222200-22-2000-2-2220000-2-22200002-2000000-2020200-20000000000002-20000
χ332222-22-2-2-222200-2-2200022-2-20000-2-2220000-220000020-20-2002000000000002-2000000
χ342222-22-2-2-222200-2-2200022-2-20000-2-2220000-2200000-2020200-200000000000-22000000
χ352222-22-2-2-222200-2-22000-2-222000022-2-20000-220000020-20-200200000000000-22000000
χ362222-22-2-2-222200-2-22000-2-222000022-2-20000-2200000-2020200-2000000000002-2000000
χ3744444-4-4-44-4000000004-40000000000000000000000022-2-2220-2-2000000000000000000
χ3844444-4-4-44-4000000004-400000000000000000000000-2-222-2-2022000000000000000000
χ3944444-4-4-44-400000000-44000000000000000000000002-2-222-20-22000000000000000000
χ4044444-4-4-44-400000000-4400000000000000000000000-222-2-2202-2000000000000000000
χ414444-44-4-4-44-4-40044-40000000000000000000-4400000000000000000000000000000000
χ424444-44-4-4-44-4-4004-4400000000000000000004-400000000000000000000000000000000
χ434444-4-444-4-40044000-400000000000000000000000002-22-2-220-22000000000000000000
χ444444-4-444-4-40044000-40000000000000000000000000-22-222-202-2000000000000000000
χ454444-4-444-4-400-4-4000400000000000000000000000002222-2-20-2-2000000000000000000
χ464444-4-444-4-400-4-400040000000000000000000000000-2-2-2-222022000000000000000000
χ4744-4-4004-400004i−4i0000002i−2i2i−2i2i2i−2i−2i000022-2-20002-200000000000002-22i−2i000000000000
χ4844-4-4004-400004i−4i0000002i−2i2i−2i−2i−2i2i2i0000-2-2220002-20000000000000-22−2i2i000000000000
χ4944-4-4004-400004i−4i000000−2i2i−2i2i2i2i−2i−2i0000-2-222000-2200000000000002-2−2i2i000000000000
χ5044-4-4004-400004i−4i000000−2i2i−2i2i−2i−2i2i2i000022-2-2000-220000000000000-222i−2i000000000000
χ5144-4-4004-40000−4i4i0000002i−2i2i−2i2i2i−2i−2i000022-2-2000-220000000000000-22−2i2i000000000000
χ5244-4-4004-40000−4i4i0000002i−2i2i−2i−2i−2i2i2i0000-2-222000-2200000000000002-22i−2i000000000000
χ5344-4-4004-40000−4i4i000000−2i2i−2i2i2i2i−2i−2i0000-2-2220002-20000000000000-222i−2i000000000000
χ5444-4-4004-40000−4i4i000000−2i2i−2i2i−2i−2i2i2i000022-2-20002-200000000000002-2−2i2i000000000000
χ554-4-440-400044-40000000000002-22-2004-42-22-2000002-20000000000000002-20000000000
χ564-4-440-400044-40000000000002-22-200-44-22-2200000-220000000000000002-20000000000
χ574-4-440-400044-4000000000000-22-22004-4-22-2200000-22000000000000000-220000000000
χ584-4-440-400044-4000000000000-22-2200-442-22-2000002-2000000000000000-220000000000
χ594-4-440-40004-440000000000002-22-24-4002-22-200000-22000000000000000-220000000000
χ604-4-440-40004-440000000000002-22-2-4400-22-22000002-2000000000000000-220000000000
χ614-4-440-40004-44000000000000-22-224-400-22-22000002-20000000000000002-20000000000
χ624-4-440-40004-44000000000000-22-22-44002-22-200000-220000000000000002-20000000000
χ6388-8-800-880000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ6488-8-800-88000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ658-88-88000-80000000000000004i−4i−4i4i000000000000000000000000000000000000000000
χ668-88-88000-8000000000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ678-88-8-80008000000000000000000000004-4-440000000000000000000000000000000000
χ688-88-8-8000800000000000000000000000-444-40000000000000000000000000000000000
χ698-8-8808000-80000000000000000000000000000000000000000004-40000000000000000
χ708-8-8808000-8000000000000000000000000000000000000000000-440000000000000000

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