Finite Group Databasebeta

← Group #72240143

Character table — Group #72240143

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122222244448888888888888888888888881616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222222224444444444444422444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111
χ511111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1
χ711111111111111111-1-1-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ811111111111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ91111111111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1111-1-1-111-1-11-1-1-1-1-1-1-1-1-111111111-1-11-11-1
χ101111111111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-111-11-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-111-11-11
χ111111111111-1-1-1-11-1-11111111-1-1-1-111111111111-1-1-111-1-11-1-1-1-1-11111-1-1-1-1-11-1-1111-1-11
χ121111111111-1-1-1-11-1-11111111-1-1-1-11111111111-11-1-1-1-111-11-1-1-1-11111-1-1-1-1-1111-1-1-111-1
χ131111111111-1-1-1-11-1-1-1-1-1-1111111111111111111-1-1-111-1-11-11111-1-1-1-1-1-1-1-11-1-1-111-111-1
χ141111111111-1-1-1-11-1-1-1-1-1-111111111111111111-11-1-1-1-111-111111-1-1-1-1-1-1-1-11-111-1-11-1-11
χ151111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11-1111111111111-1-111-1-1-11-11
χ161111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-11111111111111-1-1-1-1111-11-1
χ17222222222222222220000-2-2200002222-2-2-2-2-2-200-2-20000000000000022-2-20000000000
χ18222222222222222220000-2-220000-2-2-2-22222-2-200-2-200000000000000-2-2220000000000
χ19222222222222-2-2-22-20000-2-2-222220000000022002-2000000000022-2-20000-2000000000
χ20222222222222-2-2-22-20000-2-2-2-2-2-2-20000000022002-20000000000-2-22200002000000000
χ21222222222222-2-2-22-2222222-2000000000000-2-200-2200000022-2-2000000000-200000000
χ22222222222222-2-2-22-2-2-2-2-222-2000000000000-2-200-22000000-2-222000000000200000000
χ232222222222-2-222-2-220000-2-2-22222000000002200-220000000000-2-2220000-2000000000
χ242222222222-2-222-2-220000-2-2-2-2-2-2-2000000002200-22000000000022-2-200002000000000
χ252222222222-2-222-2-22222222-2000000000000-2-2002-2000000-2-222000000000-200000000
χ262222222222-2-222-2-22-2-2-2-222-2000000000000-2-2002-200000022-2-2000000000200000000
χ272222222222-2-2-2-22-2-20000-2-2200002222-2-2-2-2-2-2002200000000000000-2-2220000000000
χ282222222222-2-2-2-22-2-20000-2-220000-2-2-2-22222-2-200220000000000000022-2-20000000000
χ29222222-2-2-2-2000020000002-2-200002i2i−2i−2i2i2i−2i−2i2-2020000-2-202000000000000002i−2i000000
χ30222222-2-2-2-2000020000002-2-200002i2i−2i−2i2i2i−2i−2i2-20-20000220-200000000000000−2i2i000000
χ31222222-2-2-2-2000020000002-2-20000−2i−2i2i2i−2i−2i2i2i2-2020000-2-20200000000000000−2i2i000000
χ32222222-2-2-2-2000020000002-2-20000−2i−2i2i2i−2i−2i2i2i2-20-20000220-2000000000000002i−2i000000
χ33222222-2-2-2-200002000000-22-200002i2i−2i−2i−2i−2i2i2i-222000-2-2002000000000000000002i−2i0000
χ34222222-2-2-2-200002000000-22-200002i2i−2i−2i−2i−2i2i2i-22-20002200-200000000000000000−2i2i0000
χ35222222-2-2-2-200002000000-22-20000−2i−2i2i2i2i2i−2i−2i-222000-2-200200000000000000000−2i2i0000
χ36222222-2-2-2-200002000000-22-20000−2i−2i2i2i2i2i−2i−2i-22-20002200-2000000000000000002i−2i0000
χ37444444-4-4-4-40000-40000004-44000000000000-4400000000000000000000000000000000
χ38444444-4-4-4-40000-4000000-4440000000000004-400000000000000000000000000000000
χ394444-4-44-44-4004400-400000000000000000000022002-22-2-2-20000000000000000000000
χ404444-4-44-44-4004400-4000000000000000000000-2-200-22-22220000000000000000000000
χ414444-4-44-44-400-4-40040000000000000000000002-2002-2-22-220000000000000000000000
χ424444-4-44-44-400-4-4004000000000000000000000-2200-222-22-20000000000000000000000
χ434444-4-4-44-4444000-400000000000000000000002200-22-22-2-20000000000000000000000
χ444444-4-4-44-4444000-40000000000000000000000-2-2002-22-2220000000000000000000000
χ454444-4-4-44-44-4-4000400000000000000000000002-200-222-2-220000000000000000000000
χ464444-4-4-44-44-4-400040000000000000000000000-22002-2-222-20000000000000000000000
χ4744-4-400040-44-40000022-2-20002i2i−2i−2i00002i−2i2i−2i0000000000002-2002i−2i00002i−2i0000000000
χ4844-4-400040-44-40000022-2-2000−2i−2i2i2i0000−2i2i−2i2i0000000000002-200−2i2i0000−2i2i0000000000
χ4944-4-400040-44-400000-2-2220002i2i−2i−2i0000−2i2i−2i2i000000000000-22002i−2i0000−2i2i0000000000
χ5044-4-400040-44-400000-2-222000−2i−2i2i2i00002i−2i2i−2i000000000000-2200−2i2i00002i−2i0000000000
χ5144-4-400040-4-440000022-2-20002i2i−2i−2i0000−2i2i−2i2i000000000000-2200−2i2i00002i−2i0000000000
χ5244-4-400040-4-440000022-2-2000−2i−2i2i2i00002i−2i2i−2i000000000000-22002i−2i0000−2i2i0000000000
χ5344-4-400040-4-4400000-2-2220002i2i−2i−2i00002i−2i2i−2i0000000000002-200−2i2i0000−2i2i0000000000
χ5444-4-400040-4-4400000-2-222000−2i−2i2i2i0000−2i2i−2i2i0000000000002-2002i−2i00002i−2i0000000000
χ554-44-40040-40004-40002-22-20002i−2i2i−2i2i−2i2i−2i0000000000000000002-2002i−2i2i−2i000000000000
χ564-44-40040-40004-40002-22-2000−2i2i−2i2i−2i2i−2i2i0000000000000000002-200−2i2i−2i2i000000000000
χ574-44-40040-40004-4000-22-220002i−2i2i−2i−2i2i−2i2i000000000000000000-22002i−2i−2i2i000000000000
χ584-44-40040-40004-4000-22-22000−2i2i−2i2i2i−2i2i−2i000000000000000000-2200−2i2i2i−2i000000000000
χ594-44-40040-4000-440002-22-20002i−2i2i−2i−2i2i−2i2i000000000000000000-2200−2i2i2i−2i000000000000
χ604-44-40040-4000-440002-22-2000−2i2i−2i2i2i−2i2i−2i000000000000000000-22002i−2i−2i2i000000000000
χ614-44-40040-4000-44000-22-220002i−2i2i−2i2i−2i2i−2i0000000000000000002-200−2i2i−2i2i000000000000
χ624-44-40040-4000-44000-22-22000−2i2i−2i2i−2i2i−2i2i0000000000000000002-2002i−2i2i−2i000000000000
χ6388-8-8000-80800000000000000000000004-4-440000000000000000000000000000000000
χ6488-8-8000-8080000000000000000000000-444-40000000000000000000000000000000000
χ658-88-800-80800000000000000000004-4-4400000000000000000000000000000000000000
χ668-88-800-8080000000000000000000-444-400000000000000000000000000000000000000
χ678-8-888-80000000000000000004-4-44000000000000000000000000000000000000000000
χ688-8-888-8000000000000000000-444-4000000000000000000000000000000000000000000
χ698-8-88-88000000000004-4-440000000000000000000000000000000000000000000000000
χ708-8-88-8800000000000-444-40000000000000000000000000000000000000000000000000

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