Finite Group Databasebeta

← Group #10714421

Character table — Group #10714421

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order12222344446881212666888121212242424241616161624244848484848484848888824242424242424242488161616162444
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
χ19222-2-222-22-2222-2-22-2-2-2-222-2222-2-200002-20000000000000000000000000000002i−2i
χ20222-2-222-22-2222-2-22-2-2-2-222-2222-2-200002-2000000000000000000000000000000−2i2i
χ21222-2-222-22-22-2-2-2-22-2-222-22-22-2-2220000-2200000000002i−2i00002i2i−2i−2i000000000000
χ22222-2-222-22-22-2-2-2-22-2-222-22-22-2-2220000-220000000000−2i2i0000−2i−2i2i2i000000000000
χ23222-2-2-12-22-2-1-2-211-11122-2-11-111-1-100001-1−i3−i3i3i3−i3−i3i3i3002i−2i33−3−3−i−iii000000000000
χ24222-2-2-12-22-2-1-2-211-11122-2-11-111-1-100001-1−i3−i3i3i3−i3−i3i3i300−2i2i−3−333ii−i−i000000000000
χ25222-2-2-12-22-2-1-2-211-11122-2-11-111-1-100001-1i3i3−i3−i3i3i3−i3−i3002i−2i−3−333−i−iii000000000000
χ26222-2-2-12-22-2-1-2-211-11122-2-11-111-1-100001-1i3i3−i3−i3i3i3−i3−i300−2i2i33−3−3ii−i−i000000000000
χ2722-22-22-2-22222222-22-2-22-2-2-2222220000-2-2000000002-2002-22-20000000000000000
χ2822-22-22-2-22222222-22-2-22-2-2-2222220000-2-200000000-2200-22-220000000000000000
χ2922-22-22-2-2222-2-222-22-22-22-2-22-2-2-2-200002200000000000000000000000000002-200
χ3022-22-22-2-2222-2-222-22-22-22-2-22-2-2-2-20000220000000000000000000000000000-2200
χ3122-22-2-1-2-222-122-1-11-11-22-211-1-1-1-1-1000011−i3i3−i3i3−i3i3−i3i32-200-11-11−i3i3−i3i3000000000000
χ3222-22-2-1-2-222-122-1-11-11-22-211-1-1-1-1-1000011−i3i3−i3i3−i3i3−i3i3-22001-11-1i3−i3i3−i3000000000000
χ3322-22-2-1-2-222-122-1-11-11-22-211-1-1-1-1-1000011i3−i3i3−i3i3−i3i3−i32-200-11-11i3−i3i3−i3000000000000
χ3422-22-2-1-2-222-122-1-11-11-22-211-1-1-1-1-1000011i3−i3i3−i3i3−i3i3−i3-22001-11-1−i3i3−i3i3000000000000
χ3522-2-2222-2-2220022-2-220002-2-200002−22−2002−2−22−222−20000000000002-2002−22−20000
χ3622-2-2222-2-2220022-2-220002-2-200002−22−2002−2−22−222−2000000000000-2200−22−220000
χ3722-2-2222-2-2220022-2-220002-2-20000−22−2200−222−22−2−220000000000002-200−22−220000
χ3822-2-2222-2-2220022-2-220002-2-20000−22−2200−222−22−2−22000000000000-22002−22−20000
χ3922-2-222-222-2222-2-2-2-222-2-2-22222-2-20000-220000000000000000000000002i−2i−2i2i0000
χ4022-2-222-222-2222-2-2-2-222-2-2-22222-2-20000-22000000000000000000000000−2i2i2i−2i0000
χ4122-2-222-222-22-2-2-2-2-2-22-222-222-2-2222-2-222-22-2-222-2-22000000000000000000000000
χ4222-2-222-222-22-2-2-2-2-2-22-222-222-2-222-222-22-2-222-2-222-2000000000000000000000000
χ4322-2-22-1-222-2-1-2-21111-1-2221-1-111-1-12-2-22-11-111-1-111-100003−3−333−3−33000000000000
χ4422-2-22-1-222-2-1-2-21111-1-2221-1-111-1-12-2-22-11-111-1-111-10000−333−3−333−3000000000000
χ4522-2-22-1-222-2-1-2-21111-1-2221-1-111-1-1-222-2-111-1-111-1-1100003−3−33−333−3000000000000
χ4622-2-22-1-222-2-1-2-21111-1-2221-1-111-1-1-222-2-111-1-111-1-110000−333−33−3−33000000000000
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
χ50444-4-44-44-44400444-4-4000-44-4000000000000000000000000000000000000000000
χ51444-4-4-24-44-4-24422-222-4-44-22-2-2-2220000-2200000000000000000000000000000000
χ52444-4-4-2-44-44-200-2-2-2220002-220000000000i6i6−i6−i6−i6−i6i6i6000000000000000000000000
χ53444-4-4-2-44-44-200-2-2-2220002-220000000000−i6−i6i6i6i6i6−i6−i6000000000000000000000000
χ5444-44-4444-4-4400-4-4-44-400044-4000000000000000000000000000000000000000000
χ5544-44-4-244-4-4-200222-22000-2-220000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ5644-44-4-244-4-4-200222-22000-2-220000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ5744-44-4-2-4-444-2-4-4-2-22-224-4422-222220000-2-200000000000000000000000000000000
χ5844-4-44-24-4-44-200-2-222-2000-222000022−2222−2200−222−22−2−22000000000000000000000000
χ5944-4-44-24-4-44-200-2-222-2000-2220000−2222−2222002−2−22−222−2000000000000000000000000
χ6044-4-44-2-444-4-2442222-24-4-42-2-2-2-22200002-200000000000000000000000000000000
χ618-800080000-8−4i24i200000000000−4i24i20000000000000000000000000000000000000000
χ628-800080000-84i2−4i2000000000004i2−4i20000000000000000000000000000000000000000
χ638-8000-400004−4i24i243−430000000002i2−2i22i6−2i600000000000000000000000000000000000000
χ648-8000-400004−4i24i2−43430000000002i2−2i2−2i62i600000000000000000000000000000000000000
χ658-8000-4000044i2−4i243−43000000000−2i22i2−2i62i600000000000000000000000000000000000000
χ668-8000-4000044i2−4i2−4343000000000−2i22i22i6−2i600000000000000000000000000000000000000

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