Finite Group Databasebeta

← Group #10714072

Character table — Group #10714072

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order122223444468812126668881212122424242416161616242448484848484848482444661212121212124488161616162224
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
χ922222222222-2-222222-2-2-2222-2-2-2-20000-2-20000000000000000000022-2-200000000
χ1022222222222-2-222222-2-2-2222-2-2-2-20000-2-200000000000000000000-2-22200000000
χ11222222-2-2-2-2200-2-2222000-2-2-2000022−2−2002222−2−2−2−20000000000002-20022−2−20000
χ12222222-2-2-2-2200-2-2222000-2-2-2000022−2−2002222−2−2−2−2000000000000-2200−2−2220000
χ13222222-2-2-2-2200-2-2222000-2-2-20000−2−22200−2−2−2−222220000000000002-200−2−2220000
χ14222222-2-2-2-2200-2-2222000-2-2-20000−2−22200−2−2−2−22222000000000000-220022−2−20000
χ1522222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1622222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1722222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-11111000000000000
χ1822222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-1000000000000
χ19222-2-222-22-2222222-2-2-2-22-2-2222220000-2-20000000000000000000000000000002-2
χ20222-2-222-22-2222222-2-2-2-22-2-2222220000-2-2000000000000000000000000000000-22
χ21222-2-222-22-22-2-2222-2-222-2-2-22-2-2-2-200002200000000002i−2i00002i2i−2i−2i000000000000
χ22222-2-222-22-22-2-2222-2-222-2-2-22-2-2-2-20000220000000000−2i2i0000−2i−2i2i2i000000000000
χ23222-2-2-12-22-2-1-2-2-1-1-11122-211-111110000-1-133−3−333−3−3002i−2i−i3i3−i3i3−i−iii000000000000
χ24222-2-2-12-22-2-1-2-2-1-1-11122-211-111110000-1-133−3−333−3−300−2i2ii3−i3i3−i3ii−i−i000000000000
χ25222-2-2-12-22-2-1-2-2-1-1-11122-211-111110000-1-1−3−333−3−333002i−2ii3−i3i3−i3−i−iii000000000000
χ26222-2-2-12-22-2-1-2-2-1-1-11122-211-111110000-1-1−3−333−3−33300−2i2i−i3i3−i3i3ii−i−i000000000000
χ2722-22-222-2-2220022-2-220002-2-200002−22−2002−22−22−22−2000000000000002-22−22−20000
χ2822-22-222-2-2220022-2-220002-2-200002−22−2002−22−22−22−200000000000000-22−22−220000
χ2922-22-222-2-2220022-2-220002-2-20000−22−2200−22−22−22−22000000000000002-2−22−220000
χ3022-22-222-2-2220022-2-220002-2-20000−22−2200−22−22−22−2200000000000000-222−22−20000
χ3122-22-22-222-2222-2-2-2-222-2-2-22222-2-200002-20000000000000000000000002-2-220000
χ3222-22-22-222-2222-2-2-2-222-2-2-22222-2-200002-2000000000000000000000000-222-20000
χ3322-22-22-222-22-2-2-2-2-2-22-222-222-2-2222-2-22-222-22-2-22-22000000000000000000000000
χ3422-22-22-222-22-2-2-2-2-2-22-222-222-2-222-222-2-22-22-222-22-2000000000000000000000000
χ3522-22-2-1-222-2-1-2-21111-1-2221-1-111-1-12-2-221-1-11-111-11-10000−i3i3i3−i3−i3i3−i3i3000000000000
χ3622-22-2-1-222-2-1-2-21111-1-2221-1-111-1-12-2-221-1-11-111-11-10000i3−i3−i3i3i3−i3i3−i3000000000000
χ3722-22-2-1-222-2-1-2-21111-1-2221-1-111-1-1-222-21-11-11-1-11-110000−i3i3i3−i3i3−i3i3−i3000000000000
χ3822-22-2-1-222-2-1-2-21111-1-2221-1-111-1-1-222-21-11-11-1-11-110000i3−i3−i3i3−i3i3−i3i3000000000000
χ3922-2-222-2-222222-2-2-22-2-22-22-2222-2-20000-22000000002-20022-2-20000000000000000
χ4022-2-222-2-222222-2-2-22-2-22-22-2222-2-20000-2200000000-2200-2-2220000000000000000
χ4122-2-222-2-2222-2-2-2-2-22-22-222-22-2-22200002-200000000000000000000000000002-200
χ4222-2-222-2-2222-2-2-2-2-22-22-222-22-2-22200002-20000000000000000000000000000-2200
χ4322-2-22-1-2-222-122111-11-22-2-11-1-1-11100001-13−3−33−333−32-200-1-1113−3−33000000000000
χ4422-2-22-1-2-222-122111-11-22-2-11-1-1-11100001-13−3−33−333−3-220011-1-1−333−3000000000000
χ4522-2-22-1-2-222-122111-11-22-2-11-1-1-11100001-1−333−33−3−332-200-1-111−333−3000000000000
χ4622-2-22-1-2-222-122111-11-22-2-11-1-1-11100001-1−333−33−3−33-220011-1-13−3−33000000000000
χ4744444-24444-2-4-4-2-2-2-2-2-4-4-4-2-2-2222200002200000000000000000000000000000000
χ4844444-2-4-4-4-4-20022-2-2-200022200002222−22−2200−2−2−2−22222000000000000000000000000
χ4944444-2-4-4-4-4-20022-2-2-20002220000−22−222222002222−2−2−2−2000000000000000000000000
χ50444-4-44-44-44400-4-44-4-400044-4000000000000000000000000000000000000000000
χ51444-4-4-24-44-4-244-2-2-222-4-4422-2-2-2-2-200002200000000000000000000000000000000
χ52444-4-4-2-44-44-20022-222000-2-22000000000066−6−6−6−666000000000000000000000000
χ53444-4-4-2-44-44-20022-222000-2-220000000000−6−66666−6−6000000000000000000000000
χ5444-44-4-24-4-44-200-2-222-2000-222000022−2222−2200−22−22−22−22000000000000000000000000
χ5544-44-4-24-4-44-200-2-222-2000-2220000−2222−2222002−22−22−22−2000000000000000000000000
χ5644-44-4-2-444-4-2442222-24-4-42-2-2-2-2220000-2200000000000000000000000000000000
χ5744-4-44444-4-440044-44-4000-44-4000000000000000000000000000000000000000000
χ5844-4-44-244-4-4-200-2-22-220002-2200000000006−6−666−6−66000000000000000000000000
χ5944-4-44-244-4-4-200-2-22-220002-220000000000−666−6−666−6000000000000000000000000
χ6044-4-44-2-4-444-2-4-4222-224-44-22-222-2-20000-2200000000000000000000000000000000
χ618-800080000-842−420000000000042−420000000000000000000000000000000000000000
χ628-800080000-8−424200000000000−42420000000000000000000000000000000000000000
χ638-8000-40000442−4243−43000000000−222226−2600000000000000000000000000000000000000
χ648-8000-40000442−42−4343000000000−2222−262600000000000000000000000000000000000000
χ658-8000-400004−424243−4300000000022−22−262600000000000000000000000000000000000000
χ668-8000-400004−4242−434300000000022−2226−2600000000000000000000000000000000000000

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