Finite Group Databasebeta

← Group #10714304

Character table — Group #10714304

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222224444444444444488888888888888161616161616161616161616242424242424242448484848
order12442223444612126668888121212242424241616161624244848484848484848448812121212242424244488161616162444
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
χ51111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
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−iiiii000033−3−3−i3−i3i3i3000000000000
χ2022222-2-2-1-22-2-1-1-1-111-22-2211-111112i2i−2i−2i-1-1−i−i−i−iiiii0000−3−333i3i3−i3−i3000000000000
χ2122222-2-2-1-22-2-1-1-1-111-22-2211-11111−2i−2i2i2i-1-1iiii−i−i−i−i000033−3−3i3i3−i3−i3000000000000
χ2222222-2-2-1-22-2-1-1-1-111-22-2211-11111−2i−2i2i2i-1-1iiii−i−i−i−i0000−3−333−i3−i3i3i3000000000000
χ232222-22-22-2-22222-22-200002-2-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2000000000000002-2−i2i2−i2i20000
χ242222-22-22-2-22222-22-200002-2-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i200000000000000-22i2−i2i2−i20000
χ252222-22-22-2-22222-22-200002-2-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2000000000000002-2i2−i2i2−i20000
χ262222-22-22-2-22222-22-200002-2-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i200000000000000-22−i2i2−i2i20000
χ272222-2-2222-2-2222-2-220000-22-200002−2−220022−2−2−2−2220000000000002-2002−2−220000
χ282222-2-2222-2-2222-2-220000-22-200002−2−220022−2−2−2−222000000000000-2200−222−20000
χ292222-2-2222-2-2222-2-220000-22-20000−222−200−2−22222−2−20000000000002-200−222−20000
χ302222-2-2222-2-2222-2-220000-22-20000−222−200−2−22222−2−2000000000000-22002−2−220000
χ3122-2-2-22-2222-22-2-2-22-222-2-2-22222-2-200002-200000000000000000000000000002-200
χ3222-2-2-22-2222-22-2-2-22-222-2-2-22222-2-200002-20000000000000000000000000000-2200
χ3322-2-2-22-2222-22-2-2-22-2-2-222-222-2-2220000-2200000000002i−2i00002i−2i2i−2i000000000000
χ3422-2-2-22-2222-22-2-2-22-2-2-222-222-2-2220000-220000000000−2i2i0000−2i2i−2i2i000000000000
χ3522-2-2-22-2-122-2-1111-11-2-2221-1-111-1-100001-1−i3i3−i3i3−i3i3−i3i3002i−2i3−33−3−ii−ii000000000000
χ3622-2-2-22-2-122-2-1111-11-2-2221-1-111-1-100001-1−i3i3−i3i3−i3i3−i3i300−2i2i−33−33i−ii−i000000000000
χ3722-2-2-22-2-122-2-1111-11-2-2221-1-111-1-100001-1i3−i3i3−i3i3−i3i3−i3002i−2i−33−33−ii−ii000000000000
χ3822-2-2-22-2-122-2-1111-11-2-2221-1-111-1-100001-1i3−i3i3−i3i3−i3i3−i300−2i2i3−33−3i−ii−i000000000000
χ3922-2-2-2-222-2222-2-2-2-222-2-222-2222-2-20000-22000000002-2002-2-220000000000000000
χ4022-2-2-2-222-2222-2-2-2-222-2-222-2222-2-20000-2200000000-2200-222-20000000000000000
χ4122-2-2-2-222-2222-2-2-2-22-222-22-22-2-22200002-20000000000000000000000000000002-2
χ4222-2-2-2-222-2222-2-2-2-22-222-22-22-2-22200002-2000000000000000000000000000000-22
χ4322-2-2-2-22-1-222-11111-12-2-22-11-1-1-11100001-13−33−3−33−332-200-111-1−333−3000000000000
χ4422-2-2-2-22-1-222-11111-12-2-22-11-1-1-11100001-13−33−3−33−33-22001-1-113−3−33000000000000
χ4522-2-2-2-22-1-222-11111-12-2-22-11-1-1-11100001-1−33−333−33−32-200-111-13−3−33000000000000
χ4622-2-2-2-22-1-222-11111-12-2-22-11-1-1-11100001-1−33−333−33−3-22001-1-11−333−3000000000000
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
χ494444-44-4-2-4-44-2-2-22-220000-2220000−2i22i2−2i22i200i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ504444-44-4-2-4-44-2-2-22-220000-22200002i2−2i22i2−2i200−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ514444-4-44-24-4-4-2-2-222-200002-22000022−22−222200−2−22222−2−2000000000000000000000000
χ524444-4-44-24-4-4-2-2-222-200002-220000−222222−220022−2−2−2−222000000000000000000000000
χ5344-4-44444-4-4-44-4-44440000-4-4-4000000000000000000000000000000000000000000
χ5444-4-4444-2-4-4-4-222-2-2-2000022200000000006−6−666−6−66000000000000000000000000
χ5544-4-4444-2-4-4-4-222-2-2-200002220000000000−666−6−666−6000000000000000000000000
χ5644-4-44-4-444-444-4-44-4-4000044-4000000000000000000000000000000000000000000
χ5744-4-44-4-4-24-44-222-2220000-2-220000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ5844-4-44-4-4-24-44-222-2220000-2-220000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ5944-4-4-44-4-244-4-2222-2244-4-42-2-2-2-2220000-2200000000000000000000000000000000
χ6044-4-4-4-44-2-444-22222-2-444-4-22-222-2-20000-2200000000000000000000000000000000
χ618-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000
χ628-88i−8i000-40004−4i4i000000000026−262i6−2i600000000000000000000000000000000000000
χ638-88i−8i000-40004−4i4i0000000000−2626−2i62i600000000000000000000000000000000000000
χ648-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000
χ658-8−8i8i000-400044i−4i000000000026−26−2i62i600000000000000000000000000000000000000
χ668-8−8i8i000-400044i−4i0000000000−26262i6−2i600000000000000000000000000000000000000

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