Finite Group Databasebeta

← Group #240282

Character table — Group #240282

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222444444444444444422444422444444888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1111-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-1111-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1111-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1311111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1511111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1722222222222222-22222-2-222-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ1822222222222222-22222-2-222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-2-22-2-2-2-222-2-22-2-2-2-2220000000022-2-222-2-20000000000000000000000000000
χ20222222222222-2-22-2-2-2-222-2-22-2-2-2-22200000000-2-222-2-2220000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-2-2-222-222-2-22222-2-2-2-222000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-222-222-2-222-2-22222-2-2000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222222-2-2222-2-2-2-20000000022-2-2-2-2220000000000000000000000000000
χ2622222222-2-2-2-2-2-22222222-2-2222-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ2922-22-2-22-22i2i−2i−2i2-202i2i−2i−2i002-2000000000002i−2i2-2i2−i2i2−i22−22−22−22−2i2−i2i2−i200000000000000000000
χ3022-22-2-22-22i2i−2i−2i2-202i2i−2i−2i002-2000000000002i−2i2-2−i2i2−i2i2−22−22−22−22−i2i2−i2i200000000000000000000
χ3122-22-2-22-22i2i−2i−2i2-202i2i−2i−2i002-200000000000−2i2i-22i2−i2i2−i22−22−2−22−22−i2i2−i2i200000000000000000000
χ3222-22-2-22-22i2i−2i−2i2-202i2i−2i−2i002-200000000000−2i2i-22−i2i2−i2i2−22−222−22−2i2−i2i2−i200000000000000000000
χ3322-22-2-22-22i2i−2i−2i-220−2i−2i2i2i00-2200000002-22i−2i0000i2−i2−i2i22−2−22i2−i2−i2i2−222−200000000000000000000
χ3422-22-2-22-22i2i−2i−2i-220−2i−2i2i2i00-2200000002-22i−2i0000−i2i2i2−i2−222−2−i2i2i2−i22−2−2200000000000000000000
χ3522-22-2-22-22i2i−2i−2i-220−2i−2i2i2i00-220000000-22−2i2i0000i2−i2−i2i22−2−22−i2i2i2−i22−2−2200000000000000000000
χ3622-22-2-22-22i2i−2i−2i-220−2i−2i2i2i00-220000000-22−2i2i0000−i2i2i2−i2−222−2i2−i2−i2i2−222−200000000000000000000
χ3722-22-2-22-2−2i−2i2i2i2-20−2i−2i2i2i002-2000000000002i−2i-22i2−i2i2−i2−22−222−22−2−i2i2−i2i200000000000000000000
χ3822-22-2-22-2−2i−2i2i2i2-20−2i−2i2i2i002-2000000000002i−2i-22−i2i2−i2i22−22−2−22−22i2−i2i2−i200000000000000000000
χ3922-22-2-22-2−2i−2i2i2i2-20−2i−2i2i2i002-200000000000−2i2i2-2i2−i2i2−i2−22−22−22−22i2−i2i2−i200000000000000000000
χ4022-22-2-22-2−2i−2i2i2i2-20−2i−2i2i2i002-200000000000−2i2i2-2−i2i2−i2i22−22−22−22−2−i2i2−i2i200000000000000000000
χ4122-22-2-22-2−2i−2i2i2i-2202i2i−2i−2i00-2200000002-2−2i2i0000i2−i2−i2i2−222−2i2−i2−i2i22−2−2200000000000000000000
χ4222-22-2-22-2−2i−2i2i2i-2202i2i−2i−2i00-2200000002-2−2i2i0000−i2i2i2−i22−2−22−i2i2i2−i2−222−200000000000000000000
χ4322-22-2-22-2−2i−2i2i2i-2202i2i−2i−2i00-220000000-222i−2i0000i2−i2−i2i2−222−2−i2i2i2−i2−222−200000000000000000000
χ4422-22-2-22-2−2i−2i2i2i-2202i2i−2i−2i00-220000000-222i−2i0000−i2i2i2−i22−2−22i2−i2−i2i22−2−2200000000000000000000
χ452-2-2-22-2222-22-22222-22-2-2-2-2-222-22-22-2000000000000000000000000000000002i−2i2i−2i00000000
χ462-2-2-22-2222-22-22222-22-2-2-2-2-222-22-22-200000000000000000000000000000000−2i2i−2i2i00000000
χ472-2-2-22-2222-22-222-22-22-222-2-2-2-22-22-2200000000000000000000000000000000000000002i−2i2i−2i
χ482-2-2-22-2222-22-222-22-22-222-2-2-2-22-22-220000000000000000000000000000000000000000−2i2i−2i2i
χ492-2-2-22-2222-22-2-2-22-22-22-2-2222-22-222-20000000000000000000000000000000000002-22-20000
χ502-2-2-22-2222-22-2-2-22-22-22-2-2222-22-222-2000000000000000000000000000000000000-22-220000
χ512-2-2-22-2222-22-2-2-2-2-22-222222-22-22-2-2200000000000000000000000022-2-222-2-2000000000000
χ522-2-2-22-2222-22-2-2-2-2-22-222222-22-22-2-22000000000000000000000000-2-222-2-222000000000000
χ532-2-2-22-222-22-22222-22-22-2-2-2-22-222-2-22000000000000000000000000000000002i−2i−2i2i00000000
χ542-2-2-22-222-22-22222-22-22-2-2-2-22-222-2-2200000000000000000000000000000000−2i2i2i−2i00000000
χ552-2-2-22-222-22-2222-2-22-2222-2-2-22-2-222-200000000000000000000000000000000000000002i−2i−2i2i
χ562-2-2-22-222-22-2222-2-22-2222-2-2-22-2-222-20000000000000000000000000000000000000000−2i2i2i−2i
χ572-2-2-22-222-22-22-2-222-22-2-2-22222-2-22-220000000000000000000000000000000000002-2-220000
χ582-2-2-22-222-22-22-2-222-22-2-2-22222-2-22-22000000000000000000000000000000000000-222-20000
χ592-2-2-22-222-22-22-2-2-22-22-22222-2-222-22-200000000000000000000000022-2-2-2-222000000000000
χ602-2-2-22-222-22-22-2-2-22-22-22222-2-222-22-2000000000000000000000000-2-22222-2-2000000000000
χ61444-4-4-4-44000000400004-400-400000000000000000000000000000022−2222−220000000000000000
χ62444-4-4-4-44000000400004-400-4000000000000000000000000000000−2222−22220000000000000000
χ63444-4-4-4-44000000-40000-4400400000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ64444-4-4-4-44000000-40000-440040000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ654-44-4-444-44i−4i−4i4i4-404i−4i−4i4i00-44000000000000000000000000000000000000000000000000000
χ664-44-4-444-44i−4i−4i4i-440−4i4i4i−4i004-4000000000000000000000000000000000000000000000000000
χ674-44-4-444-4−4i4i4i−4i4-40−4i4i4i−4i00-44000000000000000000000000000000000000000000000000000
χ684-44-4-444-4−4i4i4i−4i-4404i−4i−4i4i004-4000000000000000000000000000000000000000000000000000
χ694-4-44-44-4400000040000-4400-400000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ704-4-44-44-4400000040000-4400-40000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ714-4-44-44-44000000-400004-400400000000000000000000000000000022−22−22220000000000000000
χ724-4-44-44-44000000-400004-4004000000000000000000000000000000−222222−220000000000000000
χ7388-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000000

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