Finite Group Databasebeta

← Group #10770593

Character table — Group #10770593

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order1222223666446622444488121212122244246666812121212122424242424444488448
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111-1-111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111-1-11-1-111-1-11111111-11-111-1-11-1-1-111-1-11-1-1-11-1111-1-1
χ6111111111111111-1-11-1-111-1-111-1-1-1-11-11-111-1-11-1-1-111-1-1-1111-11-1-1-111
χ7111111111111111-1-11-1-1-1-1-1-1111111-111-1-1-11-11-111-1-1111-1-1-11-1-1-1-111
χ8111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-111-1-1-11-11-111-1-111-1111-11111-1-1
χ911111111111111-11-1-11-111-1-1111111-11-11-1-1-1-1-111111-1-1-111-1-1-111-11-1
χ1011111111111111-11-1-11-111-1-111-1-1-1-1-11-11-1-1-1-1-111111-1-11-1-1111-1-11-11
χ1111111111111111-11-1-11-1-1-1-1-11111111-1-11111-1-11-1-1-1-111-111-1-1-1-1-11-11
χ1211111111111111-11-1-11-1-1-1-1-111-1-1-1-11-1-11111-1-11-1-1-1-1111-1-111111-11-1
χ1311111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1111-1-11
χ1411111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1-1-111-1
χ1511111111111111-1-11-1-11-1-11111111111-1-111-11-1-111-1-1-1-1-1-1-11-11-1-111-1
χ1611111111111111-1-11-1-11-1-11111-1-1-1-111-1-111-11-1-111-1-1-1-1111-11-111-1-11
χ172222222222-2-22200200-200-2-2-2-222-2-20000000200000000000-20200000
χ182222222222-2-22200200-200-2-2-2-2-2-222000000020000000000020-200000
χ192222222222-2-22200-20020022-2-222-2-20000000-20000000000020-200000
χ202222222222-2-22200-20020022-2-2-2-2220000000-200000000000-20200000
χ21222222-1-1-1-122-1-122222222-1-1-1-1000022-1-1-1-12-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-122-1-1222222-2-2-1-1-1-10000-2-2-1-111-2-1-1-111111100000000000
χ23222222-1-1-1-122-1-12-2-22-2-22211-1-100002-2-11-1-1-21-1111-1-11100000000000
χ24222222-1-1-1-122-1-12-2-22-2-2-2-211-1-10000-22-111121-11-1-111-1-100000000000
χ25222222-1-1-1-122-1-1-22-2-22-22211-1-10000-221-111-211-1-1-1-1-11100000000000
χ26222222-1-1-1-122-1-1-22-2-22-2-2-211-1-100002-21-1-1-1211-11111-1-100000000000
χ27222222-1-1-1-122-1-1-2-22-2-2222-1-1-1-10000-2-211112-11111-1-1-1-100000000000
χ28222222-1-1-1-122-1-1-2-22-2-22-2-2-1-1-1-100002211-1-1-2-111-1-1111100000000000
χ292222-2-222222-2-2-20200-2000002-22-22-2000200000-200000002-200000000
χ302222-2-222222-2-2-20200-2000002-2-22-22000200000-20000000-2200000000
χ312222-2-222222-2-2-20-2002000002-22-22-2000-20000020000000-2200000000
χ322222-2-222222-2-2-20-2002000002-2-22-22000-200000200000002-200000000
χ332222-2-22222-22-2-2200-2000000-222-2-2200200000-200000002000-2000000
χ342222-2-22222-22-2-2200-2000000-22-222-200200000-20000000-20002000000
χ352222-2-22222-22-2-2-2002000000-222-2-2200-20000020000000-20002000000
χ362222-2-22222-22-2-2-2002000000-22-222-200-200000200000002000-2000000
χ37444444-2-2-2-2-4-4-2-200400-400222200000000000-20000000000000000000
χ38444444-2-2-2-2-4-4-2-200-400400-2-2220000000000020000000000000000000
χ394444-4-4-2-2-2-24-4220400-400000-220000000-200000200000000000000000
χ404444-4-4-2-2-2-24-4220-400400000-220000000200000-200000000000000000
χ414444-4-4-2-2-2-2-4422400-40000002-2000000-2000002000000000000000000
χ424444-4-4-2-2-2-2-4422-40040000002-2000000200000-2000000000000000000
χ434-4-444-44-4-4400-4400000022−220000000000000000000022−220000000000000
χ444-4-444-44-4-4400-44000000−222200000000000000000000−22220000000000000
χ454-4-444-4-222-2002-200000022−22−2i32i3000000000000000000−22i6−i600000000000
χ464-4-444-4-222-2002-200000022−222i3−2i3000000000000000000−22−i6i600000000000
χ474-4-444-4-222-2002-2000000−2222−2i32i30000000000000000002−2−i6i600000000000
χ484-4-444-4-222-2002-2000000−22222i3−2i30000000000000000002−2i6−i600000000000
χ494-4-44-444-4-44004-40000000000000000000000000000000000000022−22000
χ504-4-44-444-4-44004-400000000000000000000000000000000000000−2222000
χ5188-8-80088-8-800000000000000000000000000000000000000000000000
χ5288-8-800-4-44400000000000000000000000000000023−23000000000000000
χ5388-8-800-4-444000000000000000000000000000000−2323000000000000000
χ548-88-8008-88-800000000000000000000000000000000000000000000000
χ558-88-800-44-44000000000000000000000000−2i32i3000000000000000000000
χ568-88-800-44-440000000000000000000000002i3−2i3000000000000000000000
χ578-8-88-88-444-400-440000000000000000000000000000000000000000000

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