Finite Group Databasebeta

← Group #72317643

Character table — Group #72317643

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222224422222224444422222444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1111-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111111111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1
χ6111111111111111-1-1-1-111111111-1-1111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111
χ7111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111
χ8111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1
χ9111111111111-1-11111111-1-1-111-1-1-11-111-1-111-11-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1
χ10111111111111-1-11111111-1-1-111-1-1-11-111-1-1-1-1-11-111-1-11111-1-11111-1-111-1-1-11-11
χ11111111111111-1-11111111-1-1-111-1-1-1-11-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ12111111111111-1-11111111-1-1-111-1-1-1-11-1-111-1-1-1-1111-1-11111-1-11111-1-1-1-1111-11-1
χ13111111111111-1-11-1-1-1-111-1-1-111-1111-111-1-111-11-1-1-111-1-1-1-1-1-11111-11-1-1111-1-11
χ14111111111111-1-11-1-1-1-111-1-1-111-1111-111-1-1-1-1-11-1-1-111111111-1-1-1-11-1-1-111-111-1
χ15111111111111-1-11-1-1-1-111-1-1-111-111-11-1-11111-1-11-1-111-1-1-1-1-1-11111-1111-1-1-111-1
χ16111111111111-1-11-1-1-1-111-1-1-111-111-11-1-111-1-1-1-11-1-111111111-1-1-1-11-111-1-11-1-11
χ172222222222222222222-2-2222-2-2-22200000000-200-2-2-2-200000000000000000000
χ18222222222222222-2-2-2-2-2-2222-2-2-2-2-200000000-200222200000000000000000000
χ19222222222222-2-222222-2-2-2-2-2-2-22-2-200000000200-2-22200000000000000000000
χ20222222222222-2-22-2-2-2-2-2-2-2-2-2-2-22220000000020022-2-200000000000000000000
χ212222222222-2-222-20000222-2-2-2-220000000022-200000022-2-20000000-200000000
χ222222222222-2-222-20000222-2-2-2-2200000000-2-2-2000000-2-2220000000200000000
χ232222222222-2-222-20000-2-22-2-222-20000000000200000000002222-2-2-2000000000
χ242222222222-2-222-20000-2-22-2-222-2000000000020000000000-2-2-2-2222000000000
χ252222222222-2-2-2-2-2000022-222-2-2-200000000222000000-2-2220000000-200000000
χ262222222222-2-2-2-2-2000022-222-2-2-200000000-2-2200000022-2-20000000200000000
χ272222222222-2-2-2-2-20000-2-2-2222220000000000-2000000000022-2-222-2000000000
χ282222222222-2-2-2-2-20000-2-2-2222220000000000-20000000000-2-222-2-22000000000
χ292222-2-222-2-22200-222-2-22-20002-20000200-2-2000022-200000000000000002-20000
χ302222-2-222-2-22200-222-2-22-20002-20000-200220000-22-20000000000000000-220000
χ312222-2-222-2-22200-222-2-2-22000-2200020-2-20000020-22000000000000002-2000000
χ322222-2-222-2-22200-222-2-2-22000-22000-202200000-20-2200000000000000-22000000
χ332222-2-222-2-22200-2-2-2222-20002-20000200-2-200002-220000000000000000-220000
χ342222-2-222-2-22200-2-2-2222-20002-20000-200220000-2-2200000000000000002-20000
χ352222-2-222-2-22200-2-2-222-22000-2200020-2-200000202-200000000000000-22000000
χ362222-2-222-2-22200-2-2-222-22000-22000-202200000-202-2000000000000002-2000000
χ3744444-4-4-44-40000000000004-400000222-22-2000-2-2000000000000000000000000
χ3844444-4-4-44-40000000000004-400000-2-2-22-2200022000000000000000000000000
χ3944444-4-4-44-4000000000000-44000002-22-2-22000-22000000000000000000000000
χ4044444-4-4-44-4000000000000-4400000-22-222-20002-2000000000000000000000000
χ414444-44-4-4-4400440000000-4000000022-22-22000-2-2000000000000000000000000
χ424444-44-4-4-4400440000000-40000000-2-22-22-200022000000000000000000000000
χ434444-44-4-4-4400-4-40000000400000002-2-222-2000-22000000000000000000000000
χ444444-44-4-4-4400-4-4000000040000000-222-2-220002-2000000000000000000000000
χ454444-4-444-4-4-4-400400004-4000-4400000000000000000000000000000000000000
χ464444-4-444-4-4-4-40040000-440004-400000000000000000000000000000000000000
χ4744-4-404000-4004-402-22-2000000002-20000002i−2i00000002i−2i002i−2i2i−2i000000000000
χ4844-4-404000-4004-402-22-2000000002-2000000−2i2i0000000−2i2i00−2i2i−2i2i000000000000
χ4944-4-404000-4004-40-22-2200000000-220000002i−2i00000002i−2i00−2i2i−2i2i000000000000
χ5044-4-404000-4004-40-22-2200000000-22000000−2i2i0000000−2i2i002i−2i2i−2i000000000000
χ5144-4-404000-400-4402-22-200000000-220000002i−2i0000000−2i2i002i−2i−2i2i000000000000
χ5244-4-404000-400-4402-22-200000000-22000000−2i2i00000002i−2i00−2i2i2i−2i000000000000
χ5344-4-404000-400-440-22-22000000002-20000002i−2i0000000−2i2i00−2i2i2i−2i000000000000
χ5444-4-404000-400-440-22-22000000002-2000000−2i2i00000002i−2i002i−2i−2i2i000000000000
χ5588-8-80-80008000004-4-44000000000000000000000000000000000000000000000
χ5688-8-80-8000800000-444-4000000000000000000000000000000000000000000000
χ578-88-88000-800000000000000000000000000000000000004i−4i0000000000000000
χ588-88-88000-80000000000000000000000000000000000000−4i4i0000000000000000
χ598-88-8-8000800000000000000000000000000000000000000000004-40000000000
χ608-88-8-800080000000000000000000000000000000000000000000-440000000000
χ618-8-88008-800000000000000000000000000000000004-400000000000000000000
χ628-8-88008-80000000000000000000000000000000000-4400000000000000000000
χ638-8-8800-88008-80000000000000000000000000000000000000000000000000000
χ648-8-8800-8800-880000000000000000000000000000000000000000000000000000

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