Finite Group Databasebeta

← Group #10831125

Character table — Group #10831125

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1244222344461212666121212224444888812121212224488886688121224242424242424242224448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111-111-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-111111
χ5111111111111111111111-11-111-1-1-1-111111111-1-1-1-11-11-11-111-1-1-1-1-1-11-111-11-1-11-1
χ6111111111111111111111-11-111-1-1-1-11111-1-1-1-111111-11-11-111-1-1-1-1-1-1-11-1-11-111-11
χ7111111111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-111-1-1111-1-11-1-111-11
χ8111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-111-111-1-11-1
χ911111111111111111111-11-1111-1-1-1-111111111-1-1-1-1-11-11-11-1-111-1-1-1-1-111-111-1-1-11
χ1011111111111111111111-11-1111-1-1-1-11111-1-1-1-11111-11-11-11-1-111-1-1-1-11-1-11-1-1111-1
χ1111111111111111111111-11-11-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-111-11-1-11-1111-1
χ1211111111111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1111-1-1-1-1111-111-11-1-1-11
χ1311111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1
χ1411111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ172222222-1222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-1-1-1-12222-2-222-2-2111100000000-1-1-2-2-1-11111-1-1110000000000
χ192222222-1222-1-1-1-1-1-1-1-1-12-22-222-2-2-2-2-1-1-1-100000000-112-2-11-1-11111110000000000
χ202222222-1222-1-1-1-1-1-1-1-1-12-22-2-2-2-2-222111100000000-11-22-1111-1-111-1-10000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-22-2222-2-2-2-2-1-1-1-1000000001-1-221-111-1-111110000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-22-22-2-2-2-2221111000000001-12-21-1-1-11111-1-10000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-10000000011-2-2111111-1-1-1-10000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2111100000000112211-1-1-1-1-1-1110000000000
χ252222-2-222-2-22222-2-22-2-220000002-20000002-22-222-2-200000000002-2000000000000
χ262222-2-222-2-22222-2-22-2-220000002-2000000-22-22-2-22200000000002-2000000000000
χ272222-2-222-2-22222-2-22-2-22000000-220000002-22-2-2-2220000000000-22000000000000
χ282222-2-222-2-22222-2-22-2-22000000-22000000-22-2222-2-20000000000-22000000000000
χ2922-2-22222-2-2-22-2-2222-2-2-2000000002i−2i00002-2-2200000000000000002i−2i0000002i−2i00
χ3022-2-22222-2-2-22-2-2222-2-2-2000000002i−2i0000-222-200000000000000002i−2i000000−2i2i00
χ3122-2-22222-2-2-22-2-2222-2-2-200000000−2i2i00002-2-220000000000000000−2i2i000000−2i2i00
χ3222-2-22222-2-2-22-2-2222-2-2-200000000−2i2i0000-222-20000000000000000−2i2i0000002i−2i00
χ3322-2-22-2-222-222-2-22-2-22-22020-2000000000000002-22-202000-200000000200-2000000
χ3422-2-22-2-222-222-2-22-2-22-22020-200000000000000-22-2202000-200000000-2002000000
χ3522-2-22-2-222-222-2-22-2-22-220-202000000000000002-22-20-2000200000000-2002000000
χ3622-2-22-2-222-222-2-22-2-22-220-20200000000000000-22-220-2000200000000200-2000000
χ3722-2-2-22-22-2222-2-2-22-2-22220-20000000000000002-2-222000-20000000000200-200000
χ3822-2-2-22-22-2222-2-2-22-2-22220-2000000000000000-222-22000-20000000000-200200000
χ3922-2-2-22-22-2222-2-2-22-2-222-2020000000000000002-2-22-200020000000000-200200000
χ4022-2-2-22-22-2222-2-2-22-2-222-202000000000000000-222-2-200020000000000200-200000
χ4122-2-2-2-22222-22-2-2-2-2222-200002-2000022-2-222-2-200000000000000000000200-20000
χ4222-2-2-2-22222-22-2-2-2-2222-200002-2000022-2-2-2-22200000000000000000000-20020000
χ4322-2-2-2-22222-22-2-2-2-2222-20000-220000-2-22222-2-200000000000000000000-20020000
χ4422-2-2-2-22222-22-2-2-2-2222-20000-220000-2-222-2-22200000000000000000000200-20000
χ4544444-4-44-44-44444-4-4-44-40000000000000000000000000000000000000000000000
χ4644444-4-4-2-44-4-2-2-2-2222-22000000000000000000000000000023−230000000000000000
χ4744444-4-4-2-44-4-2-2-2-2222-220000000000000000000000000000−23230000000000000000
χ484444-44-444-4-4444-44-44-4-40000000000000000000000000000000000000000000000
χ494444-44-4-24-4-4-2-2-22-22-22200000000000000000000000000000023−2300000000000000
χ504444-44-4-24-4-4-2-2-22-22-222000000000000000000000000000000−232300000000000000
χ514444-4-44-2-4-44-2-2-222-222-20000004-4000000000000000000000000-22000000000000
χ524444-4-44-2-4-44-2-2-222-222-2000000-440000000000000000000000002-2000000000000
χ5344-4-4444-2-4-4-4-222-2-2-2222000000004i−4i000000000000000000000000−2i2i0000000000
χ5444-4-4444-2-4-4-4-222-2-2-222200000000−4i4i0000000000000000000000002i−2i0000000000
χ5544-4-44-4-4-24-44-222-222-22-2040-40000000000000000000-20002000000000000000000
χ5644-4-44-4-4-24-44-222-222-22-20-40400000000000000000002000-2000000000000000000
χ5744-4-4-44-4-2-444-2222-222-2-240-40000000000000000000-200020000000000000000000
χ5844-4-4-44-4-2-444-2222-222-2-2-40400000000000000000002000-20000000000000000000
χ5944-4-4-4-44-244-4-22222-2-2-2200004-40000-2-22200000000000000000000000000000000
χ6044-4-4-4-44-244-4-22222-2-2-220000-44000022-2-200000000000000000000000000000000
χ618-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000
χ628-88i−8i000-40004−4i4i000000000000000023−23−2i32i300000000000000000000000000000000
χ638-88i−8i000-40004−4i4i0000000000000000−23232i3−2i300000000000000000000000000000000
χ648-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000
χ658-8−8i8i000-400044i−4i000000000000000023−232i3−2i300000000000000000000000000000000
χ668-8−8i8i000-400044i−4i0000000000000000−2323−2i32i300000000000000000000000000000000

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