Finite Group Databasebeta

← Group #72303960

Character table — Group #72303960

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222444422224444444422222224444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111-1-1111111111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11111111-1-1
χ711111111111111111111-1-1-1-1111-1-111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-111
χ91111111111-1-1-1-11111-1-1111111-111-1-11-11-1-111-1-1-1-111-1-111-1-1-1-1111-111-1-11-11-1
χ101111111111-1-1-1-11111-1-1111111-111-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1111-1-1-111-11-11
χ111111111111-1-1-1-11111-1-1111111-1-1-1111-11-1-111-1-1-1-1-1-11111-1-111-1-1-1111-1-1-11-11
χ121111111111-1-1-1-11111-1-1111111-1-1-111-11-11-1-1-111-1-1-1-11111-1-111-1-1-11-1-1111-11-1
χ131111111111-1-1-1-11111-1-1-1-1-1-111-111111-11-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-111-1
χ141111111111-1-1-1-11111-1-1-1-1-1-111-11111-11-11-1-1-111111111-1-111-1-1-1-1-1-111-1-11-1-11
χ151111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1111-1-11
χ161111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111111111-1-1-111-1
χ17222222222222222-2-22222222-2-2-200000000-20000220000-2-2-2-200000000000000
χ18222222222222222-2-2222-2-2-2-2-2-2-200000000-20000-2-20000222200000000000000
χ19222222222222-2-2-222-22-20000-2-2200220000-200000000-2-2000000-2-22000000000
χ20222222222222-2-2-222-22-20000-2-2200-2-20000-2000000002200000022-2000000000
χ21222222222222-2-2-2-2-2-22-2000022-2220000002000000-2-200000022000-200000000
χ22222222222222-2-2-2-2-2-22-2000022-2-2-2000000200000022000000-2-2000200000000
χ232222222222-2-222-222-2-220000-2-2-200220000200000000-2-200000022-2000000000
χ242222222222-2-222-222-2-220000-2-2-200-2-2000020000000022000000-2-22000000000
χ252222222222-2-222-2-2-2-2-22000022222000000-2000000-2-2000000-2-2000200000000
χ262222222222-2-222-2-2-2-2-220000222-2-2000000-20000002200000022000-200000000
χ272222222222-2-2-2-22-2-22-2-22222-2-220000000020000-2-20000-2-22200000000000000
χ282222222222-2-2-2-22-2-22-2-2-2-2-2-2-2-22000000002000022000022-2-200000000000000
χ29222222-2-2-2-2000022-2-2002i2i−2i−2i2-200000020-20002-20000002i−2i00000000002i−2i0000
χ30222222-2-2-2-2000022-2-2002i2i−2i−2i2-2000000-202000-220000002i−2i0000000000−2i2i0000
χ31222222-2-2-2-2000022-2-200−2i−2i2i2i2-200000020-20002-2000000−2i2i0000000000−2i2i0000
χ32222222-2-2-2-2000022-2-200−2i−2i2i2i2-2000000-202000-22000000−2i2i00000000002i−2i0000
χ33222222-2-2-2-200002-22-2002i2i−2i−2i-220000020-2002-200000000−2i2i000000002i−2i000000
χ34222222-2-2-2-200002-22-2002i2i−2i−2i-2200000-20200-2200000000−2i2i00000000−2i2i000000
χ35222222-2-2-2-200002-22-200−2i−2i2i2i-220000020-2002-2000000002i−2i00000000−2i2i000000
χ36222222-2-2-2-200002-22-200−2i−2i2i2i-2200000-20200-22000000002i−2i000000002i−2i000000
χ37444444-4-4-4-40000-44-44000000-4400000000000000000000000000000000000000
χ38444444-4-4-4-40000-4-4440000004-400000000000000000000000000000000000000
χ394444-4-44-4-44004400000-4000000000002-22-20-2-222000000000000000000000000
χ404444-4-44-4-44004400000-400000000000-22-22022-2-2000000000000000000000000
χ414444-4-44-4-4400-4-40000040000000000022220-2-2-2-2000000000000000000000000
χ424444-4-44-4-4400-4-400000400000000000-2-2-2-202222000000000000000000000000
χ434444-4-4-444-444000000-400000000000022-2-20-22-22000000000000000000000000
χ444444-4-4-444-444000000-4000000000000-2-22202-22-2000000000000000000000000
χ454444-4-4-444-4-4-400000040000000000002-2-220-222-2000000000000000000000000
χ464444-4-4-444-4-4-40000004000000000000-222-202-2-22000000000000000000000000
χ4744-4-400400-4004i−4i0000002i−2i2i−2i000002-20000000002-22-20000002i−2i2i−2i0000000000
χ4844-4-400400-4004i−4i0000002i−2i2i−2i00000-220000000002-2-22000000−2i2i−2i2i0000000000
χ4944-4-400400-4004i−4i000000−2i2i−2i2i000002-2000000000-22-22000000−2i2i2i−2i0000000000
χ5044-4-400400-4004i−4i000000−2i2i−2i2i00000-22000000000-222-20000002i−2i−2i2i0000000000
χ5144-4-400400-400−4i4i0000002i−2i2i−2i000002-2000000000-22-220000002i−2i−2i2i0000000000
χ5244-4-400400-400−4i4i0000002i−2i2i−2i00000-22000000000-222-2000000−2i2i2i−2i0000000000
χ5344-4-400400-400−4i4i000000−2i2i−2i2i000002-20000000002-22-2000000−2i2i−2i2i0000000000
χ5444-4-400400-400−4i4i000000−2i2i−2i2i00000-220000000002-2-220000002i−2i2i−2i0000000000
χ5588-8-800-800800000000004-4-440000000000000000000000000000000000000000
χ5688-8-800-80080000000000-444-40000000000000000000000000000000000000000
χ578-88-80008-80000000000000000000000000000000000000004-400000000000000
χ588-88-80008-8000000000000000000000000000000000000000-4400000000000000
χ598-88-8000-8808-80000000000000000000000000000000000000000000000000000
χ608-88-8000-880-880000000000000000000000000000000000000000000000000000
χ618-8-888-8000000000000000000000000000000000000004-4000000000000000000
χ628-8-888-800000000000000000000000000000000000000-44000000000000000000
χ638-8-88-880000000000000000000004-400000000000000000000000000000000000
χ648-8-88-88000000000000000000000-4400000000000000000000000000000000000

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