Finite Group Databasebeta

← Group #10770770

Character table — Group #10770770

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order122222366644662244448812121212444444668121212121212122424242444444488448
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111-1-111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111-11-1-1-11111111111-1-11-11-1-1-1-1-1-1-111111-1-1-1-1111-1-11
χ6111111111111111-11-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-11111-1-1-111-1
χ7111111111111111-11-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-111-1
χ8111111111111111-11-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-11111-111-1-11
χ911111111111111-11-1-1-1111-1-1111111-11-11-1-1-11-1-11111-1-1-111-1-1-111-11-1
χ1011111111111111-11-1-1-1111-1-111-1-1-1-1-11-11-1-1-11-1-11111-1-11-1-1111-1-11-11
χ1111111111111111-11-1-1-11-1-1-1-11111111-1-111-1-1111-1-1-1-111-111-1-1-1-1-11-11
χ1211111111111111-11-1-1-11-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1111-1-111111-11-1
χ1311111111111111-1-1-111-111-1-11111111-1-1-1-111-111-1-111-1-1-1-1-111-1111-1-1
χ1411111111111111-1-1-111-111-1-111-1-1-1-11-1-1-1-111-111-1-111-1-1111-1-11-1-1-111
χ1511111111111111-1-1-111-1-1-1-1-1111111-11-1-1111-1-1-111-1-111-1-1-111-1-1-1-111
χ1611111111111111-1-1-111-1-1-1-1-111-1-1-1-1-11-1-1111-1-1-111-1-111111-1-11111-1-1
χ172222222222-2-22220-200000-2-2-2-222-2-20020000000000000-20000200000
χ182222222222-2-22220-200000-2-2-2-2-2-222002000000000000020000-200000
χ192222222222-2-222-2020000022-2-222-2-200-2000000000000020000-200000
χ202222222222-2-222-2020000022-2-2-2-22200-20000000000000-20000200000
χ21222222-1-1-1-122-1-122222222-1-1-1-1000022-1-12-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-122-1-1222222-2-2-1-1-1-10000-2-2-1-1-2-1-1-11111111100000000000
χ23222222-1-1-1-122-1-12-22-2-2-222-1-1-1-10000-2-2-1121111111-1-1-1-100000000000
χ24222222-1-1-1-122-1-12-22-2-2-2-2-2-1-1-1-1000022-11-2111-1-1-1-1111100000000000
χ25222222-1-1-1-122-1-1-22-2-2-222211-1-10000-221-1-211-111-1-1-1-11100000000000
χ26222222-1-1-1-122-1-1-22-2-2-22-2-211-1-100002-21-1211-1-1-11111-1-100000000000
χ27222222-1-1-1-122-1-1-2-2-222-22211-1-100002-211-2-1-11-1-111-1-11100000000000
χ28222222-1-1-1-122-1-1-2-2-222-2-2-211-1-10000-22112-1-1111-1-111-1-100000000000
χ292222-2-222222-2-2-20002-2000002-22-22-2000002-20000000000002-2000000
χ302222-2-222222-2-2-20002-2000002-2-22-22000002-2000000000000-22000000
χ312222-2-222222-2-2-2000-22000002-22-22-200000-22000000000000-22000000
χ322222-2-222222-2-2-2000-22000002-2-22-2200000-220000000000002-2000000
χ332222-2-22222-22-2-202000-20000-222-2-220002000-20000000002-200000000
χ342222-2-22222-22-2-202000-20000-22-222-20002000-2000000000-2200000000
χ352222-2-22222-22-2-20-200020000-222-2-22000-20002000000000-2200000000
χ362222-2-22222-22-2-20-200020000-22-222-2000-200020000000002-200000000
χ37444444-2-2-2-2-4-4-2-240-4000002222000000-2000000000000000000000000
χ38444444-2-2-2-2-4-4-2-2-40400000-2-2220000002000000000000000000000000
χ394444-4-4-2-2-2-24-4220004-400000-22000000000-2200000000000000000000
χ404444-4-4-2-2-2-24-422000-4400000-220000000002-200000000000000000000
χ414444-4-4-2-2-2-2-442204000-400002-20000000-200020000000000000000000
χ424444-4-4-2-2-2-2-44220-4000400002-200000002000-20000000000000000000
χ434-4-444-44-4-4400-4400000000000000000000000000000000000000−2i22i2000
χ444-4-444-44-4-4400-44000000000000000000000000000000000000002i2−2i2000
χ454-4-44-444-4-44004-4000000−2i22i200000000000000000000−2i22i20000000000000
χ464-4-44-444-4-44004-40000002i2−2i2000000000000000000002i2−2i20000000000000
χ474-4-44-44-222-200-22000000−2i22i223−23000000000000000000i2−i2i6−i600000000000
χ484-4-44-44-222-200-22000000−2i22i2−2323000000000000000000i2−i2−i6i600000000000
χ494-4-44-44-222-200-220000002i2−2i223−23000000000000000000−i2i2−i6i600000000000
χ504-4-44-44-222-200-220000002i2−2i2−2323000000000000000000−i2i2i6−i600000000000
χ5188-8-80088-8-800000000000000000000000000000000000000000000000
χ5288-8-800-4-444000000000000000000000000000023−2300000000000000000
χ5388-8-800-4-4440000000000000000000000000000−232300000000000000000
χ548-88-8008-88-800000000000000000000000000000000000000000000000
χ558-88-800-44-4400000000000000000000000000000023−23000000000000000
χ568-88-800-44-44000000000000000000000000000000−2323000000000000000
χ578-8-888-8-444-4004-40000000000000000000000000000000000000000000

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