Finite Group Databasebeta

← Group #72325867

Character table — Group #72325867

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122244444488881616161616161616161616161616161616163232323232323232323232323232323232646464646464128128128128128128
order12222222222224422222222224444444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1ii−i−iiii−i−i−i
χ411111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1−i−iii−i−i−iiii
χ5111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-11-1-1
χ6111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-111
χ7111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111ii−i−ii−i−i−iii
χ8111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111−i−iii−iiii−i−i
χ911111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-1
χ1011111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-111-11
χ1111111111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1ii−i−i−ii−ii−ii
χ1211111111111111111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−iiii−ii−ii−i
χ1311111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-11-1-11
χ1411111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-111-1
χ1511111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111ii−i−i−i−iiii−i
χ1611111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111−i−iiiii−i−i−ii
χ17222222222222222-2-200002222-2-2000022-2-2000000000000-2-22-220000000000
χ18222222222222222-2-2000022-2-2-2-2000022-2-200000000000022-22-20000000000
χ19222222222222222-2-20000-2-222-2-20000-2-222000000000000-2-222-20000000000
χ20222222222222222-2-20000-2-2-2-2-2-20000-2-22200000000000022-2-220000000000
χ2122222222222-2-2-2-22-2000000222-200000000000022-2-222-2-22-2-2000000000000
χ2222222222222-2-2-2-22-2000000222-2000000000000-2-222-2-2222-2-2000000000000
χ2322222222222-2-2-2-22-2000000-2-22-200000000000022-2-2-2-222-222000000000000
χ2422222222222-2-2-2-22-2000000-2-22-2000000000000-2-22222-2-2-222000000000000
χ2522222222222-2-2-2-2-2222-2-20022-2222-2-2000022-2-200000000-22-2000000000000
χ2622222222222-2-2-2-2-2222-2-200-2-2-2222-2-20000-2-222000000002-22000000000000
χ2722222222222-2-2-2-2-22-2-2220022-22-2-2220000-2-22200000000-22-2000000000000
χ2822222222222-2-2-2-2-22-2-22200-2-2-22-2-222000022-2-2000000002-22000000000000
χ294444444-4-4-4-400004000000000-40000000000000004i−4i0000000000000000000
χ304444444-4-4-4-400004000000000-4000000000000000−4i4i0000000000000000000
χ314444444-4-4-4-40000-4000000000400000000000004i−4i000000000000000000000
χ324444444-4-4-4-40000-400000000040000000000000−4i4i000000000000000000000
χ3344444-4-44-4-4444-4-40000000000000000004-4000000000000000000000000000
χ3444444-4-44-4-4444-4-4000000000000000000-44000000000000000000000000000
χ3544444-4-44-4-44-4-4440000004-4000000004-400000000000000000000000000000
χ3644444-4-44-4-44-4-444000000-4400000000-4400000000000000000000000000000
χ3744444-4-4-444-4000004000000000-400000000004-400000000000000000000000
χ3844444-4-4-444-4000004000000000-40000000000-4400000000000000000000000
χ3944444-4-4-444-400000-40000000004000000004-40000000000000000000000000
χ4044444-4-4-444-400000-4000000000400000000-440000000000000000000000000
χ4144-4-4400-4004004-4002-22-20400002-22-20-400000000002-22-2000000000000000
χ4244-4-4400-4004004-4002-22-20-400002-22-2040000000000-22-22000000000000000
χ4344-4-4400-4004004-400-22-22040000-22-220-40000000000-22-22000000000000000
χ4444-4-4400-4004004-400-22-220-40000-22-220400000000002-22-2000000000000000
χ4544-4-4400-400400-44002-2-224000002-2-22-4000000000002-2-22000000000000000
χ4644-4-4400-400400-44002-2-22-4000002-2-22400000000000-222-2000000000000000
χ4744-4-4400-400400-4400-222-2400000-222-2-400000000000-222-2000000000000000
χ4844-4-4400-400400-4400-222-2-400000-222-24000000000002-2-22000000000000000
χ49888-8-80008-80000000004400000000-4-40000000000000000000000000000000
χ50888-8-80008-8000000000-4-400000000440000000000000000000000000000000
χ51888-8-8000-8800000004400000000-4-4000000000000000000000000000000000
χ52888-8-8000-880000000-4-40000000044000000000000000000000000000000000
χ5388-88-88-80000000000004-400000000-440000000000000000000000000000000
χ5488-88-88-8000000000000-44000000004-40000000000000000000000000000000
χ5588-88-8-8800000000004-400000000-44000000000000000000000000000000000
χ5688-88-8-880000000000-44000000004-4000000000000000000000000000000000
χ5788-8-8800800-88-80000000000000000000000000000000000000000000000000
χ5888-8-8800800-8-880000000000000000000000000000000000000000000000000
χ5916-160000000000000000000004-40000000000000000000000000002i−2i2i−2i000000
χ6016-160000000000000000000004-4000000000000000000000000000−2i2i−2i2i000000
χ6116-16000000000000000000000-440000000000000000000000000002-2-22000000
χ6216-16000000000000000000000-44000000000000000000000000000-222-2000000

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