Finite Group Databasebeta

← Group #72317192

Character table — Group #72317192

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11222444488888161616161616161616163232323232323232323232323264646464646464646464646464646464646464646464
order12222222222222222224444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111-1-1111-1-11111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ6111111111111111-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ8111111111111111-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ911111111111111-11-1-1-1-11-1-1-11111-11-111-1-1-1-11-111-1-1ii−i−ii−ii−iii−i−ii−ii−i
χ1011111111111111-11-1-1-1-11-1-1-11111-11-111-1-1-1-11-111-1-1−i−iii−ii−ii−i−iii−ii−ii
χ1111111111111111-11-1-1-1-11-1-1-1-1-111-11-1-1-111111-1-1-111ii−i−i−ii−iiii−i−i−ii−ii
χ1211111111111111-11-1-1-1-11-1-1-1-1-111-11-1-1-111111-1-1-111−i−iiii−ii−i−i−iiii−ii−i
χ1311111111111111-1-11-1-1-1-11-1-11111-1-1111-1-1-1-1-11-1-111ii−i−ii−i−ii−i−iiii−i−ii
χ1411111111111111-1-11-1-1-1-11-1-11111-1-1111-1-1-1-1-11-1-111−i−iii−iii−iii−i−i−iii−i
χ1511111111111111-1-11-1-1-1-11-1-1-1-111-1-11-1-11111-1111-1-1ii−i−i−iii−i−i−iii−iii−i
χ1611111111111111-1-11-1-1-1-11-1-1-1-111-1-11-1-11111-1111-1-1−i−iiii−i−iiii−i−ii−i−ii
χ172222222222222222-22-222-22-200-2-2-22-2000000-2200000000000000000000
χ18222222222222222-222-22-222-200-2-2-2-220000002-200000000000000000000
χ1922222222222222-222-22-222-2200-2-2222000000-2-200000000000000000000
χ2022222222222222-2-2-2-22-2-2-2-2200-2-22-2-20000002200000000000000000000
χ212222222222-2-2-2-220022-200-22002-2-200000000000000000022000000-2-200
χ222222222222-2-2-2-220022-200-22002-2-2000000000000000000-2-20000002200
χ232222222222-2-2-2-22002-2-200-2-200-222000000000000000000002i−2i000000−2i2i
χ242222222222-2-2-2-22002-2-200-2-200-22200000000000000000000−2i2i0000002i−2i
χ252222222222-2-2-2-2-200-222002200-22-20000000000000000000022000000-2-2
χ262222222222-2-2-2-2-200-222002200-22-200000000000000000000-2-200000022
χ272222222222-2-2-2-2-200-2-22002-2002-220000000000000000002i−2i000000−2i2i00
χ282222222222-2-2-2-2-200-2-22002-2002-22000000000000000000−2i2i0000002i−2i00
χ294444444-4-4-40000000040000-42200000-2-222-2-20000000000000000000000
χ304444444-4-4-40000000040000-4-2-20000022-2-2220000000000000000000000
χ314444444-4-4-400000000-4000042200000-2-2-2-2220000000000000000000000
χ324444444-4-4-400000000-400004-2-2000002222-2-20000000000000000000000
χ3344444-4-444-44-44-40040000400000000-40000000000000000000000000000
χ3444444-4-444-44-44-400-40000-40000000040000000000000000000000000000
χ3544444-4-444-4-44-44040000400000000-400000000000000000000000000000
χ3644444-4-444-4-44-440-40000-400000000400000000000000000000000000000
χ3744-4-44004-400-404040000-40000000000002-22-200002-20000000000000000
χ3844-4-44004-400-404040000-4000000000000-22-220000-220000000000000000
χ3944-4-44004-400-4040-4000040000000000002-22-20000-220000000000000000
χ4044-4-44004-400-4040-400004000000000000-22-2200002-20000000000000000
χ4144-4-4400-440-40400040000-4000000000002-2-22002-2000000000000000000
χ4244-4-4400-440-40400040000-400000000000-222-200-22000000000000000000
χ4344-4-4400-440-404000-400004000000000002-2-2200-22000000000000000000
χ4444-4-4400-440-404000-40000400000000000-222-2002-2000000000000000000
χ4588888-8-8-8-880000000000000000000000000000000000000000000000000
χ46888-8-800000000000000400-400000000000000000000000000002i−2i2i−2i0000
χ47888-8-800000000000000400-40000000000000000000000000000−2i2i−2i2i0000
χ48888-8-800000000000000-400400000000000000000000000000002-2-220000
χ49888-8-800000000000000-40040000000000000000000000000000-222-20000
χ5088-88-8000000000400-400000000000000000000000002i−2i2i−2i000000000000
χ5188-88-8000000000400-40000000000000000000000000−2i2i−2i2i000000000000
χ5288-88-8000000000-400400000000000000000000000002-2-22000000000000
χ5388-88-8000000000-40040000000000000000000000000-222-2000000000000
χ5488-8-88008-80080-8000000000000000000000000000000000000000000000
χ5588-8-8800-88080-80000000000000000000000000000000000000000000000
χ5616-160008-80000000000000000000000004-400000000000000000000000000
χ5716-160008-8000000000000000000000000-4400000000000000000000000000
χ5816-16000-88000000000000000004-4000000000000000000000000000000000
χ5916-16000-8800000000000000000-44000000000000000000000000000000000

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