Finite Group Databasebeta

← Group #10714499

Character table — Group #10714499

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order12222344446881212666888121212242424241616161624244848484848484848888824242424242424242488161616162244
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
χ11222222-2-2-2-2200-2-2222000-2-2-2000022−2−2002222−2−2−2−2000000000000002i−2i−i2−i2i2i20000
χ12222222-2-2-2-2200-2-2222000-2-2-2000022−2−2002222−2−2−2−200000000000000−2i2ii2i2−i2−i20000
χ13222222-2-2-2-2200-2-2222000-2-2-20000−2−22200−2−2−2−22222000000000000002i−2ii2i2−i2−i20000
χ14222222-2-2-2-2200-2-2222000-2-2-20000−2−22200−2−2−2−2222200000000000000−2i2i−i2−i2i2i20000
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
χ19222-2-2222-2-2200222-2-20002-2-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i20000000000002-200−i2i2−i2i20000
χ20222-2-2222-2-2200222-2-20002-2-20000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2000000000000-2200i2−i2i2−i20000
χ21222-2-2222-2-2200222-2-20002-2-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i20000000000002-200i2−i2i2−i20000
χ22222-2-2222-2-2200222-2-20002-2-20000i2−i2i2−i200i2i2−i2−i2i2i2−i2−i2000000000000-2200−i2i2−i2i20000
χ23222-2-22-2-222222-2-22-2-22-2-2-22222-2-22i−2i−2i2i2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ24222-2-22-2-222222-2-22-2-22-2-2-22222-2-2−2i2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ25222-2-22-2-2222-2-2-2-22-2-2-222-222-2-2220000-220000000000000000000000002-2-220000
χ26222-2-22-2-2222-2-2-2-22-2-2-222-222-2-2220000-22000000000000000000000000-222-20000
χ27222-2-2-1-2-222-12211-1112-2-21-1-1-1-1112i−2i−2i2i-11−i−iiiii−i−i000033−3−3−i3−i3i3i3000000000000
χ28222-2-2-1-2-222-12211-1112-2-21-1-1-1-1112i−2i−2i2i-11−i−iiiii−i−i0000−3−333i3i3−i3−i3000000000000
χ29222-2-2-1-2-222-12211-1112-2-21-1-1-1-111−2i2i2i−2i-11ii−i−i−i−iii000033−3−3i3i3−i3−i3000000000000
χ30222-2-2-1-2-222-12211-1112-2-21-1-1-1-111−2i2i2i−2i-11ii−i−i−i−iii0000−3−333−i3−i3i3i3000000000000
χ3122-22-222-2-22222-2-2-22-2-2-2222-222-2-20000-220000000000000000000000000000002i−2i
χ3222-22-222-2-22222-2-2-22-2-2-2222-222-2-20000-22000000000000000000000000000000−2i2i
χ3322-22-222-2-222-2-2-2-2-22-222-222-2-2-22200002-200000000002i−2i00002i−2i2i−2i000000000000
χ3422-22-222-2-222-2-2-2-2-22-222-222-2-2-22200002-20000000000−2i2i0000−2i2i−2i2i000000000000
χ3522-22-2-12-2-22-1-2-2111-1122-2-1-1111-1-10000-11−i3i3−i3i3−i3i3−i3i3002i−2i3−33−3−ii−ii000000000000
χ3622-22-2-12-2-22-1-2-2111-1122-2-1-1111-1-10000-11−i3i3−i3i3−i3i3−i3i300−2i2i−33−33i−ii−i000000000000
χ3722-22-2-12-2-22-1-2-2111-1122-2-1-1111-1-10000-11i3−i3i3−i3i3−i3i3−i3002i−2i−33−33−ii−ii000000000000
χ3822-22-2-12-2-22-1-2-2111-1122-2-1-1111-1-10000-11i3−i3i3−i3i3−i3i3−i300−2i2i3−33−3i−ii−i000000000000
χ3922-2-222-22-2222222-2-22-22-2-22-222220000-2-200000000000000000000000000002-200
χ4022-2-222-22-2222222-2-22-22-2-22-222220000-2-20000000000000000000000000000-2200
χ4122-2-222-22-222-2-222-2-222-22-22-2-2-2-2-2000022000000002-2002-2-220000000000000000
χ4222-2-222-22-222-2-222-2-222-22-22-2-2-2-2-200002200000000-2200-222-20000000000000000
χ4322-2-22-1-22-22-1-2-2-1-111-12-221-1111110000-1-13−3−33−333−32-200-111-1−333−3000000000000
χ4422-2-22-1-22-22-1-2-2-1-111-12-221-1111110000-1-13−3−33−333−3-22001-1-113−3−33000000000000
χ4522-2-22-1-22-22-1-2-2-1-111-12-221-1111110000-1-1−333−33−3−332-200-111-13−3−33000000000000
χ4622-2-22-1-22-22-1-2-2-1-111-12-221-1111110000-1-1−333−33−3−33-22001-1-11−333−3000000000000
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
χ50444-4-4-244-4-4-200-2-2-222000-2220000−2i22i2−2i22i200i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ51444-4-4-244-4-4-200-2-2-222000-22200002i2−2i22i2−2i200−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ52444-4-4-2-4-444-2-4-422-222-4442-2-222-2-200002-200000000000000000000000000000000
χ5344-44-44-444-440044-44-4000-4-44000000000000000000000000000000000000000000
χ5444-44-4-24-4-44-244222-22-4-44-2-22-2-22200002-200000000000000000000000000000000
χ5544-44-4-2-444-4-200-2-22-2200022-20000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ5644-44-4-2-444-4-200-2-22-2200022-20000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ5744-4-4444-44-4400-4-4-4-440004-44000000000000000000000000000000000000000000
χ5844-4-44-24-44-4-2002222-2000-22-200000000006−6−666−6−66000000000000000000000000
χ5944-4-44-24-44-4-2002222-2000-22-20000000000−666−6−666−6000000000000000000000000
χ6044-4-44-2-44-44-244-2-222-2-44-42-22-2-2-2-200002200000000000000000000000000000000
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).