Finite Group Databasebeta

← Group #10714583

Character table — Group #10714583

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222224444444444444488888888888888161616161616161616161616242424242424242448484848
order124422234446121266688881212122424242416161616242448484848484848482444661212121212124488161616162488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ922222222222222222-2-2-2-2222-2-2-2-20000-2-20000000000000000000022-2-200000000
χ1022222222222222222-2-2-2-2222-2-2-2-20000-2-200000000000000000000-2-22200000000
χ112222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ122222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ132222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-11111000000000000
χ142222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-1000000000000
χ1522222-2-22-22-22222-2-22-22-2-2-2222220000-2-20000000000000000000000002i2i−2i−2i0000
χ1622222-2-22-22-22222-2-22-22-2-2-2222220000-2-2000000000000000000000000−2i−2i2i2i0000
χ1722222-2-22-22-22222-2-2-22-22-2-22-2-2-2-22i2i−2i−2i222i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ1822222-2-22-22-22222-2-2-22-22-2-22-2-2-2-2−2i−2i2i2i22−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ1922222-2-2-1-22-2-1-1-1-111-22-2211-111112i2i−2i−2i-1-1−i−i−i−iiiii0000−i3i3−i3i333−3−3000000000000
χ2022222-2-2-1-22-2-1-1-1-111-22-2211-111112i2i−2i−2i-1-1−i−i−i−iiiii0000i3−i3i3−i3−3−333000000000000
χ2122222-2-2-1-22-2-1-1-1-111-22-2211-11111−2i−2i2i2i-1-1iiii−i−i−i−i0000−i3i3−i3i3−3−333000000000000
χ2222222-2-2-1-22-2-1-1-1-111-22-2211-11111−2i−2i2i2i-1-1iiii−i−i−i−i0000i3−i3i3−i333−3−3000000000000
χ232222-22-22-2-22222-2-2200002-2-200002−22−20022−2−222−2−2000000000000002-22−22−20000
χ242222-22-22-2-22222-2-2200002-2-200002−22−20022−2−222−2−200000000000000-22−22−220000
χ252222-22-22-2-22222-2-2200002-2-20000−22−2200−2−222−2−222000000000000002-2−22−220000
χ262222-22-22-2-22222-2-2200002-2-20000−22−2200−2−222−2−22200000000000000-222−22−20000
χ272222-2-2222-2-2222-22-20000-22-20000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20000000000002-200−i2i2i2−i20000
χ282222-2-2222-2-2222-22-20000-22-20000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2000000000000-2200i2−i2−i2i20000
χ292222-2-2222-2-2222-22-20000-22-20000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20000000000002-200i2−i2−i2i20000
χ302222-2-2222-2-2222-22-20000-22-20000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2000000000000-2200−i2i2i2−i20000
χ3122-2-2-22-2222-22-2-2-2-2222-2-2-22222-2-200002-20000000000000000000000000000002i−2i
χ3222-2-2-22-2222-22-2-2-2-2222-2-2-22222-2-200002-2000000000000000000000000000000−2i2i
χ3322-2-2-22-2222-22-2-2-2-22-2-222-222-2-2220000-2200000000002-200002-22-2000000000000
χ3422-2-2-22-2222-22-2-2-2-22-2-222-222-2-2220000-220000000000-220000-22-22000000000000
χ3522-2-2-22-2-122-2-11111-1-2-2221-1-111-1-100001-1−i3i3−i3i3−i3i3−i3i3002-2−i3i3i3−i3-11-11000000000000
χ3622-2-2-22-2-122-2-11111-1-2-2221-1-111-1-100001-1−i3i3−i3i3−i3i3−i3i300-22i3−i3−i3i31-11-1000000000000
χ3722-2-2-22-2-122-2-11111-1-2-2221-1-111-1-100001-1i3−i3i3−i3i3−i3i3−i3002-2i3−i3−i3i3-11-11000000000000
χ3822-2-2-22-2-122-2-11111-1-2-2221-1-111-1-100001-1i3−i3i3−i3i3−i3i3−i300-22−i3i3i3−i31-11-1000000000000
χ3922-2-2-2-222-2222-2-2-22-22-2-222-2222-2-20000-22000000002-20022-2-20000000000000000
χ4022-2-2-2-222-2222-2-2-22-22-2-222-2222-2-20000-2200000000-2200-2-2220000000000000000
χ4122-2-2-2-222-2222-2-2-22-2-222-22-22-2-22200002-200000000000000000000000000002-200
χ4222-2-2-2-222-2222-2-2-22-2-222-22-22-2-22200002-20000000000000000000000000000-2200
χ4322-2-2-2-22-1-222-1111-112-2-22-11-1-1-11100001-13−33−3−33−332-200-1-1113−3−33000000000000
χ4422-2-2-2-22-1-222-1111-112-2-22-11-1-1-11100001-13−33−3−33−33-220011-1-1−333−3000000000000
χ4522-2-2-2-22-1-222-1111-112-2-22-11-1-1-11100001-1−33−333−33−32-200-1-111−333−3000000000000
χ4622-2-2-2-22-1-222-1111-112-2-22-11-1-1-11100001-1−33−333−33−3-220011-1-13−3−33000000000000
χ474444444-2444-2-2-2-2-2-2-4-4-4-4-2-2-2222200002200000000000000000000000000000000
χ4844444-4-4-2-44-4-2-2-2-2224-44-422-2-2-2-2-200002200000000000000000000000000000000
χ494444-44-4-2-4-44-2-2-222-20000-222000022−2222−2200−2−222−2−222000000000000000000000000
χ504444-44-4-2-4-44-2-2-222-20000-2220000−2222−22220022−2−222−2−2000000000000000000000000
χ514444-4-44-24-4-4-2-2-22-2200002-220000−2i22i22i2−2i200i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ524444-4-44-24-4-4-2-2-22-2200002-2200002i2−2i2−2i22i200−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ5344-4-44444-4-4-44-4-44440000-4-4-4000000000000000000000000000000000000000000
χ5444-4-4444-2-4-4-4-222-2-2-200002220000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ5544-4-4444-2-4-4-4-222-2-2-200002220000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ5644-4-44-4-444-444-4-44-4-4000044-4000000000000000000000000000000000000000000
χ5744-4-44-4-4-24-44-222-2220000-2-2200000000006−6−66−666−6000000000000000000000000
χ5844-4-44-4-4-24-44-222-2220000-2-220000000000−666−66−6−66000000000000000000000000
χ5944-4-4-44-4-244-4-22222-244-4-42-2-2-2-2220000-2200000000000000000000000000000000
χ6044-4-4-4-44-2-444-2222-22-444-4-22-222-2-20000-2200000000000000000000000000000000
χ618-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000
χ628-88i−8i000-40004−4i4i00000000002i6−2i626−2600000000000000000000000000000000000000
χ638-88i−8i000-40004−4i4i0000000000−2i62i6−262600000000000000000000000000000000000000
χ648-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000
χ658-8−8i8i000-400044i−4i00000000002i6−2i6−262600000000000000000000000000000000000000
χ668-8−8i8i000-400044i−4i0000000000−2i62i626−2600000000000000000000000000000000000000

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