Finite Group Databasebeta

← Group #10770653

Character table — Group #10770653

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order12222236664466444444881212121244444481212121212121212122424242424444488248
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
χ5111111111111111-1-11-1-111-1-11111111-1-11-11-1-111-1-111-1-11-11-1-1-1111-1-1
χ6111111111111111-1-11-1-111-1-111-1-1-1-11-1-11-11-1-111-1-111-1-1-11-1111-1-1-111
χ7111111111111111-1-11-1-1-1-1-1-1111111-1111-11-1-1-1-111-1-1111-11-1-1-1-1-1-111
χ8111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1111-11-1-1-1-111-1-111-11-1111111-1-1
χ911111111111111-11-1-11-111-1-1111111-11-1-11-11-1-1-11111-1-1-11-1-11-111-11-1
χ1011111111111111-11-1-11-111-1-111-1-1-1-1-11-1-11-11-1-1-11111-1-11-111-11-1-11-11
χ1111111111111111-11-1-11-1-1-1-1-11111111-11-11-11-111-1-1-1-111-11-1-11-1-1-11-11
χ1211111111111111-11-1-11-1-1-1-1-111-1-1-1-11-11-11-11-111-1-1-1-1111-111-1111-11-1
χ1311111111111111-1-11-1-111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-11-1111-1-11
χ1411111111111111-1-11-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1-1-11111111-11-1-1-111-1
χ1511111111111111-1-11-1-11-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-11-11-1-111-1
χ1611111111111111-1-11-1-11-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-1111-11-111-1-11
χ172222222222-2-22200200-20022-2-222-2-20000000-20000000000020-200000
χ182222222222-2-22200200-20022-2-2-2-2220000000-200000000000-20200000
χ192222222222-2-22200-200200-2-2-2-222-2-20000000200000000000-20200000
χ202222222222-2-22200-200200-2-2-2-2-2-222000000020000000000020-200000
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
χ23222222-1-1-1-122-1-12-2-22-2-22211-1-100002-2-2-11-111-1-111-1-11100000000000
χ24222222-1-1-1-122-1-12-2-22-2-2-2-211-1-10000-222-11-11111-1-111-1-100000000000
χ25222222-1-1-1-122-1-1-22-2-22-22211-1-10000-22-21-11-1111-1-1-1-11100000000000
χ26222222-1-1-1-122-1-1-22-2-22-2-2-211-1-100002-221-11-11-1-11111-1-100000000000
χ27222222-1-1-1-122-1-1-2-22-2-2222-1-1-1-10000-2-221111-11111-1-1-1-100000000000
χ28222222-1-1-1-122-1-1-2-22-2-22-2-2-1-1-1-1000022-21111-1-1-1-1-1111100000000000
χ292222-2-222222-2-2-20200-2000002-22-22-2000020-20000000000200-2000000
χ302222-2-222222-2-2-20200-2000002-2-22-22000020-20000000000-2002000000
χ312222-2-222222-2-2-20-2002000002-22-22-20000-2020000000000-2002000000
χ322222-2-222222-2-2-20-2002000002-2-22-220000-2020000000000200-2000000
χ332222-2-22222-22-2-2200-2000000-222-2-2200020-2000000000020-200000000
χ342222-2-22222-22-2-2200-2000000-22-222-200020-20000000000-20200000000
χ352222-2-22222-22-2-2-2002000000-222-2-22000-2020000000000-20200000000
χ362222-2-22222-22-2-2-2002000000-22-222-2000-202000000000020-200000000
χ37444444-2-2-2-2-4-4-2-200400-400-2-2220000000000020000000000000000000
χ38444444-2-2-2-2-4-4-2-200-400400222200000000000-20000000000000000000
χ394444-4-4-2-2-2-24-4220400-400000-2200000000-20200000000000000000000
χ404444-4-4-2-2-2-24-4220-400400000-220000000020-200000000000000000000
χ414444-4-4-2-2-2-2-4422400-40000002-20000000-202000000000000000000000
χ424444-4-4-2-2-2-2-4422-40040000002-2000000020-2000000000000000000000
χ434-44-44-444-4-4004-400000022−220000000000000000000022−220000000000000
χ444-44-44-444-4-4004-4000000−222200000000000000000000−22220000000000000
χ454-44-44-4-2-22200-2200000022−22−2i32i3000000000000000000−22i6−i600000000000
χ464-44-44-4-2-22200-2200000022−222i3−2i3000000000000000000−22−i6i600000000000
χ474-44-44-4-2-22200-22000000−2222−2i32i30000000000000000002−2−i6i600000000000
χ484-44-44-4-2-22200-22000000−22222i3−2i30000000000000000002−2i6−i600000000000
χ494-44-4-4444-4-400-4400000000000000000000000000000000000000−2i22i2000
χ504-44-4-4444-4-400-44000000000000000000000000000000000000002i2−2i2000
χ5188-8-8008-88-800000000000000000000000000000000000000000000000
χ5288-8-800-44-44000000000000000000000000000000−2i32i3000000000000000
χ5388-8-800-44-440000000000000000000000000000002i3−2i3000000000000000
χ548-88-8-88-4-444004-40000000000000000000000000000000000000000000
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).