Finite Group Databasebeta

← Group #10776646

Character table — Group #10776646

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11112222444666688888888888881212161616161616161616161616161624242424242424242424324848
order12223666444444422444488881212122446681212121224242424242422244488881228
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111-111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111-11-1-1-1111111111-11-1-11-1-1-11111-1-11-1-1-11-11111-1-1-1
χ41111111111111111-11-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111
χ5111111111111111-11-1-11-111-1-1111111-11-1-1-11-111-1-1-1-1-11-1-1-1111-1-111-1
χ6111111111111111-11-1-11-1-1-11111111-1-111-1-11-1-1-11111-11-1-1-11-1-111-1-11
χ7111111111111111-1-1-11-1111-1-111111-1-1-11-11-1111-1-111-1-111-1-111-1-1-1-11
χ8111111111111111-1-1-11-11-1-111111111-1-1-1-11-11-1-111-1-1-1-111-1-1-1-11111-1
χ911111111111-1-1-1-11111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1
χ1011111111111-1-1-1-1111111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ1111111111111-1-1-1-11-11-1-1-11111111-1-1-11-1-11-1-1-11111-1-1-1111-11-1-1-1-1-111
χ1211111111111-1-1-1-11-11-1-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-1-111-1111-1111111-1-1
χ1311111111111-1-1-1-1-11-1-11-111-1-1111-1-11-11-1-1-11-111-1-1-1-11-1111-1-1-1111-11
χ1411111111111-1-1-1-1-11-1-11-1-1-111111-1-1-1-111-1-11-1-1-111111-1111-111-1-1-11-1
χ1511111111111-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1-11-11-1111-1-11111-1-111-1-111-11-1
χ1611111111111-1-1-1-1-1-1-11-11-1-111111-1-11-1-1-1-11-11-1-111-1-111-1-11111-1-11-11
χ17222222222-2-2222200020-200002-2-2-2-20000020-200000000-22000000000
χ18222222222-2-22222000-20200002-2-2-2-200000-202000000002-2000000000
χ19222222222-2-2-2-2-2-200020-200002-2-2220000020-2000000002-2000000000
χ20222222222-2-2-2-2-2-2000-20200002-2-22200000-20200000000-22000000000
χ2122222222-22-222-2-220-20000000-22-22-20200-2000000000-2000200000000
χ2222222222-22-222-2-2-2020000000-22-22-20-20020000000002000-200000000
χ2322222222-22-2-2-22220-20000000-22-2-220200-20000000002000-200000000
χ2422222222-22-2-2-222-2020000000-22-2-220-2002000000000-2000200000000
χ2522222222-2-2222-2-20200-200000-2-22-22002000-200000000-200020000000
χ2622222222-2-2222-2-20-200200000-2-22-2200-20002000000002000-20000000
χ2722222222-2-22-2-2220200-200000-2-222-2002000-2000000002000-20000000
χ2822222222-2-22-2-2220-200200000-2-222-200-2000200000000-200020000000
χ292222-1-1-1-122200002222222222-1-1-1002-1-12-1-1-1-1-1-1-1-1-1-10000000000-100
χ302222-1-1-1-12220000222222-2-2-2-2-1-1-100-2-1-1-2-1-1-1-11111110000000000100
χ312222-1-1-1-122200002-22-2-2-22222-1-1-100-2-11-2-1111-1-1-1-1110000000000100
χ322222-1-1-1-122200002-22-2-2-2-2-2-2-2-1-1-1002-112-11111111-1-10000000000-100
χ332222-1-1-1-12220000-22-2-22-222-2-2-1-1-10021-1-211-11-1-111110000000000-100
χ342222-1-1-1-12220000-22-2-22-2-2-222-1-1-100-21-1211-1111-1-1-1-10000000000100
χ352222-1-1-1-12220000-2-2-22-2222-2-2-1-1-100-21121-11-1-1-111-1-10000000000100
χ362222-1-1-1-12220000-2-2-22-22-2-222-1-1-100211-21-11-111-1-1110000000000-100
χ374444-2-2-2-24-4-4000000040-40000-2220000000-2020000000000000000000
χ384444-2-2-2-24-4-40000000-4040000-222000000020-20000000000000000000
χ394444-2-2-2-2-44-4000040-400000002-22000-20020000000000000000000000
χ404444-2-2-2-2-44-40000-40400000002-22000200-20000000000000000000000
χ414444-2-2-2-2-4-4400000400-40000022-20000-2000200000000000000000000
χ424444-2-2-2-2-4-4400000-40040000022-200002000-200000000000000000000
χ4344-4-444-4-40004i−4i00000000002-20000000000000002-200000000002i−2i000
χ4444-4-444-4-40004i−4i0000000000-22000000000000000-220000000000−2i2i000
χ4544-4-444-4-4000−4i4i00000000002-20000000000000002-20000000000−2i2i000
χ4644-4-444-4-4000−4i4i0000000000-22000000000000000-2200000000002i−2i000
χ474-4-444-4-44000004-40000002-20000000000000002-200000000002-200000
χ484-4-444-4-44000004-4000000-22000000000000000-220000000000-2200000
χ494-4-444-4-4400000-440000002-20000000000000002-20000000000-2200000
χ504-4-444-4-4400000-44000000-22000000000000000-2200000000002-200000
χ5188-8-8-4-4440000000000000004-4000000000000000-22000000000000000
χ5288-8-8-4-444000000000000000-440000000000000002-2000000000000000
χ538-88-88-88-80000000000000000000000000000000000000000000000000
χ548-88-8-44-44000000000000000000000000000000000023−230000000000000
χ558-88-8-44-440000000000000000000000000000000000−23230000000000000
χ568-8-88-444-400000000000004-4000000000000000-2200000000000000000
χ578-8-88-444-40000000000000-440000000000000002-200000000000000000

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