Finite Group Databasebeta

← Group #10770601

Character table — Group #10770601

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order1222223666446624444488121212122244446812121212121212122424242422444488448
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
χ5111111111111111-11-1-1-111-1-11111111-11-1-11-1-111-1-111-1-11-11-1-1-1111-1-1
χ6111111111111111-11-1-1-111-1-111-1-1-1-11-11-1-11-1-111-1-111-1-1-11-1111-1-1-111
χ7111111111111111-11-1-1-1-1-1-1-1111111-1111-11-1-1-1-111-1-1111-11-1-1-1-1-1-111
χ8111111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1111-11-1-1-1-111-1-111-11-1111111-1-1
χ911111111111111-11-11-1-111-1-1111111-11-1-11-1-11-1-11111-1-1-11-11-1-111-11-1
χ1011111111111111-11-11-1-111-1-111-1-1-1-1-11-1-11-1-11-1-11111-1-11-11-111-1-11-11
χ1111111111111111-11-11-1-1-1-1-1-11111111-1-111-1-1111-1-1-1-111-11-11-1-1-1-11-11
χ1211111111111111-11-11-1-1-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1111-11-11111-11-1
χ1311111111111111-1-1-1-1111111111111-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-111-1
χ1511111111111111-1-1-1-111-1-11111111111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1
χ1611111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-11111-1-1-1-11111-1-111-1-11
χ172222222222-2-22200002-20022-2-222-2-2000000-200000000000002-200000
χ182222222222-2-22200002-20022-2-2-2-222000000-20000000000000-2200000
χ192222222222-2-2220000-2200-2-2-2-222-2-200000020000000000000-2200000
χ202222222222-2-2220000-2200-2-2-2-2-2-222000000200000000000002-200000
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
χ23222222-1-1-1-122-1-12-22-2-2-22211-1-100002-2-1-21-111-1-111-1-11100000000000
χ24222222-1-1-1-122-1-12-22-2-2-2-2-211-1-10000-22-121-11111-1-111-1-100000000000
χ25222222-1-1-1-122-1-1-22-22-2-22211-1-10000-221-2-111-111-1-1-1-11100000000000
χ26222222-1-1-1-122-1-1-22-22-2-2-2-211-1-100002-212-111-1-1-11111-1-100000000000
χ27222222-1-1-1-122-1-1-2-2-2-22222-1-1-1-10000-2-21211-111111-1-1-1-100000000000
χ28222222-1-1-1-122-1-1-2-2-2-222-2-2-1-1-1-10000221-211-11-1-1-1-1111100000000000
χ292222-2-222222-2-2-2020-20000002-22-22-20000200-200000000020-20000000
χ302222-2-222222-2-2-2020-20000002-2-22-220000200-2000000000-2020000000
χ312222-2-222222-2-2-20-2020000002-22-22-20000-2002000000000-2020000000
χ322222-2-222222-2-2-20-2020000002-2-22-220000-200200000000020-20000000
χ332222-2-22222-22-2-220-20000000-222-2-2200200-2000000000020-200000000
χ342222-2-22222-22-2-220-20000000-22-222-200200-20000000000-20200000000
χ352222-2-22222-22-2-2-2020000000-222-2-2200-20020000000000-20200000000
χ362222-2-22222-22-2-2-2020000000-22-222-200-2002000000000020-200000000
χ37444444-2-2-2-2-4-4-2-200004-400-2-2220000000000200000000000000000000
χ38444444-2-2-2-2-4-4-2-20000-440022220000000000-200000000000000000000
χ394444-4-4-2-2-2-24-422040-4000000-2200000000-20020000000000000000000
χ404444-4-4-2-2-2-24-4220-404000000-2200000000200-20000000000000000000
χ414444-4-4-2-2-2-2-442240-400000002-2000000-2002000000000000000000000
χ424444-4-4-2-2-2-2-4422-40400000002-2000000200-2000000000000000000000
χ434-44-44-44-44-400-44000000−2i22i200000000000000000000−2i22i20000000000000
χ444-44-44-44-44-400-440000002i2−2i2000000000000000000002i2−2i20000000000000
χ454-44-44-4-22-22002-2000000−2i22i223−23000000000000000000i2−i2i6−i600000000000
χ464-44-44-4-22-22002-2000000−2i22i2−2323000000000000000000i2−i2−i6i600000000000
χ474-44-44-4-22-22002-20000002i2−2i223−23000000000000000000−i2i2−i6i600000000000
χ484-44-44-4-22-22002-20000002i2−2i2−2323000000000000000000−i2i2i6−i600000000000
χ494-44-4-444-44-4004-400000000000000000000000000000000000000−2i22i2000
χ504-44-4-444-44-4004-4000000000000000000000000000000000000002i2−2i2000
χ5188-8-80088-8-800000000000000000000000000000000000000000000000
χ5288-8-800-4-444000000000000000000000000000000−2i32i3000000000000000
χ5388-8-800-4-4440000000000000000000000000000002i3−2i3000000000000000
χ548-88-8-88-44-4400-440000000000000000000000000000000000000000000
χ558-8-88008-8-8800000000000000000000000000000000000000000000000
χ568-8-8800-444-40000000000000000000000000000−2i32i300000000000000000
χ578-8-8800-444-400000000000000000000000000002i3−2i300000000000000000

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