Finite Group Databasebeta

← Group #10770772

Character table — Group #10770772

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order1222223666446624444488121212124444446812121212121212122424242424444488448
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111-1-11-1-111-1-1111111-111-1-1-11-1-1-11111-1-1-11-11-1-111-11-1
χ6111111111111111-1-11-1-111-1-111-1-1-1-1-111-1-1-11-1-1-11111-1-11-11-111-1-11-11
χ7111111111111111-1-11-1-1-1-1-1-11111111-111-1-11-111-1-1-1-111-11-11-1-1-1-11-11
χ8111111111111111-1-11-1-1-1-1-1-111-1-1-1-11-111-1-11-111-1-1-1-1111-11-11111-11-1
χ911111111111111-11-1-11-11111111111-1-1-11-1-1-11-1-1-1-111111-1-1-11-111-1-11
χ1011111111111111-11-1-11-1111111-1-1-1-1-1-1-11-1-1-11-1-1-1-11111-1111-11-1-111-1
χ1111111111111111-11-1-11-1-1-11111111111-1-1-1-1-111111-1-1-1-11-1-1-11-1-1-111-1
χ1211111111111111-11-1-11-1-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1111-1111-1-11
χ1311111111111111-1-11-1-1111-1-11111111-1-1-111-1-111-1-111-1-1-1-11-1-11111-1-1
χ1411111111111111-1-11-1-1111-1-111-1-1-1-11-1-1-111-1-111-1-111-1-111-111-1-1-1-111
χ1511111111111111-1-11-1-11-1-1-1-1111111-11-1111-1-1-1-111-1-111-1-11-1-11-1-1-111
χ1611111111111111-1-11-1-11-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-1-11111-111-1111-1-1
χ172222222222-2-2220200-200022-2-222-2-20000000-2000000002000-2000000
χ182222222222-2-2220200-200022-2-2-2-2220000000-200000000-20002000000
χ192222222222-2-2220-2002000-2-2-2-222-2-20000000200000000-20002000000
χ202222222222-2-2220-2002000-2-2-2-2-2-22200000002000000002000-2000000
χ21222222-1-1-1-122-1-122222222-1-1-1-1000022-12-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-122-1-1222222-2-2-1-1-1-10000-2-2-1-2-1-1-1-11111111100000000000
χ23222222-1-1-1-122-1-12-2-22-2-22211-1-10000-22-1-211-1111-1-1-1-11100000000000
χ24222222-1-1-1-122-1-12-2-22-2-2-2-211-1-100002-2-1211-11-1-11111-1-100000000000
χ25222222-1-1-1-122-1-1-22-2-22-222-1-1-1-10000-2-212111-11111-1-1-1-100000000000
χ26222222-1-1-1-122-1-1-22-2-22-2-2-2-1-1-1-10000221-2111-1-1-1-1-1111100000000000
χ27222222-1-1-1-122-1-1-2-22-2-222211-1-100002-21-2-1-111-1-111-1-11100000000000
χ28222222-1-1-1-122-1-1-2-22-2-22-2-211-1-10000-2212-1-11111-1-111-1-100000000000
χ292222-2-222222-2-2-200200-200002-22-22-20000-22000000000000200-200000
χ302222-2-222222-2-2-200200-200002-2-22-220000-22000000000000-200200000
χ312222-2-222222-2-2-200-200200002-22-22-200002-2000000000000-200200000
χ322222-2-222222-2-2-200-200200002-2-22-2200002-2000000000000200-200000
χ332222-2-22222-22-2-2200-2000000-222-2-22002000-20000000000-2020000000
χ342222-2-22222-22-2-2200-2000000-22-222-2002000-2000000000020-20000000
χ352222-2-22222-22-2-2-2002000000-222-2-2200-20002000000000020-20000000
χ362222-2-22222-22-2-2-2002000000-22-222-200-200020000000000-2020000000
χ37444444-2-2-2-2-4-4-2-20400-4000-2-2220000000000020000000000000000000
χ38444444-2-2-2-2-4-4-2-20-4004000222200000000000-20000000000000000000
χ394444-4-4-2-2-2-24-42200400-40000-22000000002-2000000000000000000000
χ404444-4-4-2-2-2-24-42200-40040000-2200000000-22000000000000000000000
χ414444-4-4-2-2-2-2-4422400-40000002-2000000-2000200000000000000000000
χ424444-4-4-2-2-2-2-4422-40040000002-20000002000-200000000000000000000
χ434-44-44-44-4-4400-4400000000000000000000000000000000000000−2i22i2000
χ444-44-44-44-4-4400-44000000000000000000000000000000000000002i2−2i2000
χ454-44-4-444-4-44004-4000000−2i22i200000000000000000000−2i22i20000000000000
χ464-44-4-444-4-44004-40000002i2−2i2000000000000000000002i2−2i20000000000000
χ474-44-4-44-222-200-22000000−2i22i223−23000000000000000000i2−i2i6−i600000000000
χ484-44-4-44-222-200-22000000−2i22i2−2323000000000000000000i2−i2−i6i600000000000
χ494-44-4-44-222-200-220000002i2−2i223−23000000000000000000−i2i2−i6i600000000000
χ504-44-4-44-222-200-220000002i2−2i2−2323000000000000000000−i2i2i6−i600000000000
χ5188-8-8008-88-800000000000000000000000000000000000000000000000
χ5288-8-800-44-44000000000000000000000000000023−2300000000000000000
χ5388-8-800-44-440000000000000000000000000000−232300000000000000000
χ548-88-88-8-444-4004-40000000000000000000000000000000000000000000
χ558-8-880088-8-800000000000000000000000000000000000000000000000
χ568-8-8800-4-444000000000000000000000000000000−2i32i3000000000000000
χ578-8-8800-4-4440000000000000000000000000000002i3−2i3000000000000000

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