Finite Group Databasebeta

← Group #10770582

Character table — Group #10770582

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order12222236664466444444881212121222444481212121212121212122424242424444488448
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111-1-11-1-11111111111-1-11-1-11-1-1-1-1-1-11111-11-1-11-111-1-11
χ6111111111111111-1-11-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-111-11-1-111-1
χ7111111111111111-1-11-1-1-1-11111111111-1-1-11-1-11111-1-1-1-1-11-1-11-1-1-111-1
χ8111111111111111-1-11-1-1-1-11111-1-1-1-111-1-1-11-1-11111-1-1-1-11-111-1111-1-11
χ911111111111111-11-1-11-111-1-11111111-1-11-1-11-111-1-111-1-1-1-1-11-11111-1-1
χ1011111111111111-11-1-11-111-1-111-1-1-1-11-1-11-1-11-111-1-111-1-1111-11-1-1-1-111
χ1111111111111111-11-1-11-1-1-1-1-1111111-1111-1-11-1-1-111-1-111-1-1-11-11-1-1-111
χ1211111111111111-11-1-11-1-1-1-1-111-1-1-1-1-1111-1-11-1-1-111-1-111111-11-1111-1-1
χ1311111111111111-1-11-1-1111-1-1111111-11-1-11-1-11-1-11111-1-11-11-1-1-111-11-1
χ1411111111111111-1-11-1-1111-1-111-1-1-1-1-11-1-11-1-11-1-11111-1-1-11-1111-1-11-11
χ1511111111111111-1-11-1-11-1-1-1-11111111-11-11-1-1111-1-1-1-1111-11-1-1-1-1-11-11
χ1611111111111111-1-11-1-11-1-1-1-111-1-1-1-11-11-11-1-1111-1-1-1-111-11-111111-11-1
χ172222222222-2-222200-2000022-2-222-2-200000-200000000000-2002000000
χ182222222222-2-222200-2000022-2-2-2-22200000-200000000000200-2000000
χ192222222222-2-222-20020000-2-2-2-222-2-200000200000000000200-2000000
χ202222222222-2-222-20020000-2-2-2-2-2-22200000200000000000-2002000000
χ21222222-1-1-1-122-1-122222222-1-1-1-10000222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-122-1-1222222-2-2-1-1-1-10000-2-2-2-1-1-1-1-11111111100000000000
χ23222222-1-1-1-122-1-12-2-22-2-222-1-1-1-10000-2-2211-1111111-1-1-1-100000000000
χ24222222-1-1-1-122-1-12-2-22-2-2-2-2-1-1-1-1000022-211-111-1-1-1-1111100000000000
χ25222222-1-1-1-122-1-1-22-2-22-22211-1-100002-2-2-111-11-1-111-1-11100000000000
χ26222222-1-1-1-122-1-1-22-2-22-2-2-211-1-10000-222-111-1111-1-111-1-100000000000
χ27222222-1-1-1-122-1-1-2-22-2-222211-1-10000-22-21-111-111-1-1-1-11100000000000
χ28222222-1-1-1-122-1-1-2-22-2-22-2-211-1-100002-221-111-1-1-11111-1-100000000000
χ292222-2-222222-2-2-200200-200002-22-22-20000200-20000000020-200000000
χ302222-2-222222-2-2-200200-200002-2-22-220000200-200000000-20200000000
χ312222-2-222222-2-2-200-200200002-22-22-20000-200200000000-20200000000
χ322222-2-222222-2-2-200-200200002-2-22-220000-20020000000020-200000000
χ332222-2-22222-22-2-20200-200000-222-2-22000200-200000000000020-200000
χ342222-2-22222-22-2-20200-200000-22-222-2000200-2000000000000-20200000
χ352222-2-22222-22-2-20-200200000-222-2-22000-2002000000000000-20200000
χ362222-2-22222-22-2-20-200200000-22-222-2000-200200000000000020-200000
χ37444444-2-2-2-2-4-4-2-2400-40000-2-2220000000002000000000000000000000
χ38444444-2-2-2-2-4-4-2-2-400400002222000000000-2000000000000000000000
χ394444-4-4-2-2-2-24-42200400-40000-2200000000-20020000000000000000000
χ404444-4-4-2-2-2-24-42200-40040000-2200000000200-20000000000000000000
χ414444-4-4-2-2-2-2-44220400-4000002-20000000-200200000000000000000000
χ424444-4-4-2-2-2-2-44220-4004000002-20000000200-200000000000000000000
χ4344-4-44-444-4-400-440000000000000000000000000000000000000022−22000
χ4444-4-44-444-4-400-4400000000000000000000000000000000000000−2222000
χ4544-4-4-4444-4-4004-400000022−220000000000000000000022−220000000000000
χ4644-4-4-4444-4-4004-4000000−222200000000000000000000−22220000000000000
χ4744-4-4-44-2-22200-2200000022−22−2i32i3000000000000000000−22i6−i600000000000
χ4844-4-4-44-2-22200-2200000022−222i3−2i3000000000000000000−22−i6i600000000000
χ4944-4-4-44-2-22200-22000000−2222−2i32i30000000000000000002−2−i6i600000000000
χ5044-4-4-44-2-22200-22000000−22222i3−2i30000000000000000002−2i6−i600000000000
χ5188-8-88-8-4-444004-40000000000000000000000000000000000000000000
χ528-88-8008-88-800000000000000000000000000000000000000000000000
χ538-88-800-44-44000000000000000000000000000000−2i32i3000000000000000
χ548-88-800-44-440000000000000000000000000000002i3−2i3000000000000000
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).