Finite Group Databasebeta

← Group #72266314

Character table — Group #72266314

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122224444444448888888888881616161616161616161616323232323232323232323232323264646464
order1222222222222222222224444444422224444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-1-1-11111111111-1-1
χ92222222222222222222-2-2222222220000-200-200-20000-2-2000000000000
χ102222222222222222222-2-2-2-2-2-2-2-2-2-20000-200-200-2000022000000000000
χ112222222222-2-2222-2-2-2-222000000000022-200222-200-2-200000000000000
χ122222222222-2-2222-2-2-2-2220000000000-2-2-2002-2-2-2002200000000000000
χ132222222222-2-2222-2-2-2-2-2-2000000000000200-2002000000000022-2-20000
χ142222222222-2-2222-2-2-2-2-2-2000000000000200-20020000000000-2-2220000
χ1522222222-2-2222-2-222-2-222000000002200222-200-2-2-20000000000000000
χ1622222222-2-2222-2-222-2-22200000000-2-2002-2-2-200-2220000000000000000
χ1722222222-2-2222-2-222-2-2-2-2000000000000-200200200000022-2-200000000
χ1822222222-2-2222-2-222-2-2-2-2000000000000-2002002000000-2-22200000000
χ1922222222-2-2-2-22-2-2-2-22222000000000000-200-2002000000000000002-200
χ2022222222-2-2-2-22-2-2-2-22222000000000000-200-200200000000000000-2200
χ2122222222-2-2-2-22-2-2-2-222-2-2000000000000200200-200000000000000002i−2i
χ2222222222-2-2-2-22-2-2-2-222-2-2000000000000200200-20000000000000000−2i2i
χ23444444-4-4004-4-4004-400000000000000220000-2-20002-200000000000000
χ24444444-4-4004-4-4004-400000000000000-2-2000022000-2200000000000000
χ25444444-4-400-44-400-4400000000000000220000-2-2000-2200000000000000
χ26444444-4-400-44-400-4400000000000000-2-20000220002-200000000000000
χ274444-4-4444-400-44-40000000000000022000-2-200002-20000000000000000
χ284444-4-4444-400-44-400000000000000-2-2000220000-220000000000000000
χ294444-4-444-4400-4-440000000000000022000-2-20000-220000000000000000
χ304444-4-444-4400-4-4400000000000000-2-20002200002-20000000000000000
χ314444-4-4-4-4000040000004-42222-2-2-2-20000000000000002-2000000000000
χ324444-4-4-4-4000040000004-4-2-2-2-22222000000000000000-22000000000000
χ334444-4-4-4-400004000000-442222-2-2-2-2000000000000000-22000000000000
χ344444-4-4-4-400004000000-44-2-2-2-222220000000000000002-2000000000000
χ354-44-44-40000040000-400002i2i−2i−2i2i2i−2i−2i2-20002-200000000002i−2i0000000000
χ364-44-44-40000040000-400002i2i−2i−2i2i2i−2i−2i-22000-220000000000−2i2i0000000000
χ374-44-44-40000040000-40000−2i−2i2i2i−2i−2i2i2i2-20002-20000000000−2i2i0000000000
χ384-44-44-40000040000-40000−2i−2i2i2i−2i−2i2i2i-22000-2200000000002i−2i0000000000
χ394-44-4-44000040000-4000002i2i−2i−2i−2i−2i2i2i2-2000-220000000000002i−2i00000000
χ404-44-4-44000040000-4000002i2i−2i−2i−2i−2i2i2i-220002-2000000000000−2i2i00000000
χ414-44-4-44000040000-400000−2i−2i2i2i2i2i−2i−2i2-2000-22000000000000−2i2i00000000
χ424-44-4-44000040000-400000−2i−2i2i2i2i2i−2i−2i-220002-20000000000002i−2i00000000
χ434-4-44004-40-4000040000002-22-22-22-2002-200002-2000000000002-2000000
χ444-4-44004-40-4000040000002-22-22-22-200-220000-2200000000000-22000000
χ454-4-44004-40-400004000000-22-22-22-22002-200002-200000000000-22000000
χ464-4-44004-40-400004000000-22-22-22-2200-220000-22000000000002-2000000
χ474-4-4400-44-40000400000002-22-2-22-22002-20000-2200000000000002-20000
χ484-4-4400-44-40000400000002-22-2-22-2200-2200002-20000000000000-220000
χ494-4-4400-44-4000040000000-22-222-22-2002-20000-220000000000000-220000
χ504-4-4400-44-4000040000000-22-222-22-200-2200002-200000000000002-20000
χ5188-8-800000000000004-40000004i−4i−4i4i00000000000000000000000000000
χ5288-8-800000000000004-4000000−4i4i4i−4i00000000000000000000000000000
χ5388-8-80000000000000-44004i−4i−4i4i000000000000000000000000000000000
χ5488-8-80000000000000-4400−4i4i4i−4i000000000000000000000000000000000
χ558-88-88-800000-80000800000000000000000000000000000000000000000
χ568-88-8-880000-800008000000000000000000000000000000000000000000
χ578-8-88008-8080000-80000000000000000000000000000000000000000000
χ588-8-8800-8880000-800000000000000000000000000000000000000000000

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