Finite Group Databasebeta

← Group #10770427

Character table — Group #10770427

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244446688888888888888121212161616161616161616161616161616242424242424242424244848
order12222236664466444444444488121212124444812121212121212121224242424244444448848
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-111111111-11-1-1-1-11111-1-1-1-1-111-1-1-111-1-11-1
χ4111111111111111111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-11
χ51111111111111111-1-11-11-11111-1-111111-1-1-111-1-1-1-11111-1-11-1-11-1-11111-1-1
χ61111111111111111-1-11-11-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1111-1-11-1-1-1-1-1-111
χ71111111111111111-1-1-11-1111-1-1-1-111111-11-1-1-111-1-111-1-111-1-1-1-11111-1-1-11
χ81111111111111111-1-1-11-11-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111-1
χ911111111111111-1-111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1111111111111111-1-111-1-1-1-111-1-11111-1-1-11-11-1-1-1-11111-1-1-1-11-1-1111-1-111-11
χ1211111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-11-1
χ1311111111111111-1-1-1-11-11-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111
χ1411111111111111-1-1-1-11-11-1-1-1-1-1-1-111-1-1-111-111-1-111-1-1-1-111-111-1111111-1-1
χ1511111111111111-1-1-1-1-11-1111-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1111-1
χ1611111111111111-1-1-1-1-11-11-1-111-1-111-1-1-11-1-1-1-11111-1-111-1-11111-1-111-1-1-11
χ172222222222-2-222222-20000000022-2-2-2-2200-200000000000002-2000000000
χ182222222222-2-22222-2200000000-2-2-2-2-2-220020000000000000-22000000000
χ192222222222-2-222-2-22-20000000022-2-222-200-20000000000000-22000000000
χ202222222222-2-222-2-2-2200000000-2-2-2-222-200200000000000002-2000000000
χ21222222-1-1-1-122-1-1002222222222-1-1-1-100022-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-1-1-1-122-1-100222222-2-2-2-2-1-1-1-1000-2-2-1-1-1-1-111111111000000000000
χ23222222-1-1-1-122-1-10022-2-2-2-222-2-2-1-1-1-10002-2-11111-1-1-1-11111000000000000
χ24222222-1-1-1-122-1-10022-2-2-2-2-2-222-1-1-1-1000-22-111111111-1-1-1-1000000000000
χ25222222-1-1-1-122-1-100-2-22-22-2222211-1-1000-2-21-1-11111-1-1-1-111000000000000
χ26222222-1-1-1-122-1-100-2-22-22-2-2-2-2-211-1-1000221-1-111-1-11111-1-1000000000000
χ27222222-1-1-1-122-1-100-2-2-22-2222-2-211-1-1000-22111-1-111-1-111-1-1000000000000
χ28222222-1-1-1-122-1-100-2-2-22-22-2-22211-1-10002-2111-1-1-1-111-1-111000000000000
χ292222-2-222222-2-2-22200020-20000002-22-2-2000002-20000000000002-2000000
χ302222-2-222222-2-2-222000-2020000002-22-2-200000-22000000000000-22000000
χ312222-2-222222-2-2-2-2-200020-20000002-2-222000002-2000000000000-22000000
χ322222-2-222222-2-2-2-2-2000-2020000002-2-22200000-220000000000002-2000000
χ332222-2-22222-22-2-2220020-20000000-22-22-20002-20000000000-200200000000
χ342222-2-22222-22-2-22200-2020000000-22-22-2000-220000000000200-200000000
χ352222-2-22222-22-2-2-2-20020-20000000-222-220002-20000000000200-200000000
χ362222-2-22222-22-2-2-2-200-2020000000-222-22000-220000000000-200200000000
χ37444444-2-2-2-2-4-4-2-2004-400000000-2-222000002000000000000000000000000
χ38444444-2-2-2-2-4-4-2-200-4400000000222200000-2000000000000000000000000
χ394444-4-4-2-2-2-24-4220000040-4000000-2200000000-2200000000000000000000
χ404444-4-4-2-2-2-24-42200000-404000000-22000000002-200000000000000000000
χ414444-4-4-2-2-2-2-4422000040-400000002-2000000-220000000000000000000000
χ424444-4-4-2-2-2-2-44220000-40400000002-20000002-20000000000000000000000
χ4344-4-44-444-4-400-4400000000000000000000000000000000000000000022−2200
χ4444-4-44-444-4-400-44000000000000000000000000000000000000000000−222200
χ4544-4-4-4444-4-4004-4000000000022−2200000000000000000022−2200000000000000
χ4644-4-4-4444-4-4004-40000000000−2222000000000000000000−222200000000000000
χ4744-4-4-44-2-22200-22000000000022−22−2i32i30000000000000000−22i6−i6000000000000
χ4844-4-4-44-2-22200-22000000000022−222i3−2i30000000000000000−22−i6i6000000000000
χ4944-4-4-44-2-22200-220000000000−2222−2i32i300000000000000002−2−i6i6000000000000
χ5044-4-4-44-2-22200-220000000000−22222i3−2i300000000000000002−2i6−i6000000000000
χ514-4-44004-44-400004-40000002i−2i0000000000000000002i−2i00000000002i−2i0000
χ524-4-44004-44-400004-4000000−2i2i000000000000000000−2i2i0000000000−2i2i0000
χ534-4-44004-44-40000-440000002i−2i0000000000000000002i−2i0000000000−2i2i0000
χ544-4-44004-44-40000-44000000−2i2i000000000000000000−2i2i00000000002i−2i0000
χ5588-8-88-8-4-444004-40000000000000000000000000000000000000000000000
χ568-88-8008-8-8800000000000000000000000000000000000000000000000000
χ578-88-800-444-400000000000000000000000000000023−23000000000000000000
χ588-88-800-444-4000000000000000000000000000000−2323000000000000000000
χ598-8-8800-44-440000000000004i−4i000000000000000000−2i2i0000000000000000
χ608-8-8800-44-44000000000000−4i4i0000000000000000002i−2i0000000000000000

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