Finite Group Databasebeta

← Group #10714482

Character table — Group #10714482

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order122223444468812126668881212122424242424668812122424242424244488121212122424242416161616161616162444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ922222222222-2-222222-2-2-2222-2-2-2-22222-2-222-2-2-2-2-2-2000000000000000000000000
χ1022222222222-2-222222-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000
χ1122222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1222222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1322222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-211-2-211-1-1111122-2-2-1-1-1-11111000000000000
χ1422222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-211-2-211-1-11111-2-2221111-1-1-1-1000000000000
χ1522222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-1111122-1-1-2-2-1-11111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ1622222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-1111122-1-1-2-2-1-11111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ1722222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-11111-2-211221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ1822222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-11111-2-211221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ19222-2-222-22-2200222-2-20002-2-2000000002i−2i00002i2i−2i−2i000000000000−i2−i2i2i222−2−20000
χ20222-2-222-22-2200222-2-20002-2-2000000002i−2i00002i2i−2i−2i000000000000i2i2−i2−i2−2−2220000
χ21222-2-222-22-2200222-2-20002-2-200000000−2i2i0000−2i−2i2i2i000000000000−i2−i2i2i2−2−2220000
χ22222-2-222-22-2200222-2-20002-2-200000000−2i2i0000−2i−2i2i2i000000000000i2i2−i2−i222−2−20000
χ23222-2-22-22-22222-2-22-2-22-2-2-22222-2-2000000002-20000002i−2i00002i−2i2i−2i000000000000
χ24222-2-22-22-22222-2-22-2-22-2-2-22222-2-2000000002-2000000−2i2i0000−2i2i−2i2i000000000000
χ25222-2-22-22-222-2-2-2-22-2-2-222-222-2-22200000000-2200002i−2i002i−2i2i−2i0000000000000000
χ26222-2-22-22-222-2-2-2-22-2-2-222-222-2-22200000000-220000−2i2i00−2i2i−2i2i0000000000000000
χ27222-2-2-1-22-22-12211-1112-2-21-1-1-1-11100−i3i300−i3i3-11−i3i3−i3i3002i−2i3−3−33−ii−ii000000000000
χ28222-2-2-1-22-22-12211-1112-2-21-1-1-1-11100−i3i300−i3i3-11−i3i3−i3i300−2i2i−333−3i−ii−i000000000000
χ29222-2-2-1-22-22-12211-1112-2-21-1-1-1-11100i3−i300i3−i3-11i3−i3i3−i3002i−2i−333−3−ii−ii000000000000
χ30222-2-2-1-22-22-12211-1112-2-21-1-1-1-11100i3−i300i3−i3-11i3−i3i3−i300−2i2i3−3−33i−ii−i000000000000
χ31222-2-2-1-22-22-1-2-211-111-2221-1-111-1-100−i3i300−i3i31-1i3−i3i3−i32i−2i00−ii−ii3−3−33000000000000
χ32222-2-2-1-22-22-1-2-211-111-2221-1-111-1-100−i3i300−i3i31-1i3−i3i3−i3−2i2i00i−ii−i−333−3000000000000
χ33222-2-2-1-22-22-1-2-211-111-2221-1-111-1-100i3−i300i3−i31-1−i3i3−i3i32i−2i00−ii−ii−333−3000000000000
χ34222-2-2-1-22-22-1-2-211-111-2221-1-111-1-100i3−i300i3−i31-1−i3i3−i3i3−2i2i00i−ii−i3−3−33000000000000
χ3522-22-222-2-22222-2-2-2-22-2-222-2222-2-200000000-2200000000000000002-22-200000000
χ3622-22-222-2-22222-2-2-2-22-2-222-2222-2-200000000-220000000000000000-22-2200000000
χ3722-22-222-2-222-2-2-2-2-2-2222-22-22-2-222000000002-2000000000000000000002i−2i2i−2i0000
χ3822-22-222-2-222-2-2-2-2-2-2222-22-22-2-222000000002-200000000000000000000−2i2i−2i2i0000
χ3922-2-22222-2-2200-2-2-22-200022-200002-22200-2-2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ4022-2-22222-2-2200-2-2-22-200022-200002-22200-2-2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ4122-2-22222-2-2200-2-2-22-200022-20000-22-2-20022000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4222-2-22222-2-2200-2-2-22-200022-20000-22-2-20022000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ4322-2-222-2-22222222-22-2-22-2-2-22222200000000-2-2000000000000000000000000002-2
χ4422-2-222-2-22222222-22-2-22-2-2-22222200000000-2-200000000000000000000000000-22
χ4522-2-222-2-2222-2-222-22-22-22-2-22-2-2-2-200000000220000000000000000000000002-200
χ4622-2-222-2-2222-2-222-22-22-22-2-22-2-2-2-20000000022000000000000000000000000-2200
χ47444444-4-4-4-4400-4-4444000-4-4-4000000000000000000000000000000000000000000
χ4844444-2-4-4-4-4-20022-2-2-20002220000000000000023−23−2323000000000000000000000000
χ4944444-2-4-4-4-4-20022-2-2-200022200000000000000−232323−23000000000000000000000000
χ50444-4-4-24-44-4-200-2-2-222000-222000000004i−4i0000−2i−2i2i2i000000000000000000000000
χ51444-4-4-24-44-4-200-2-2-222000-22200000000−4i4i00002i2i−2i−2i000000000000000000000000
χ5244-44-44-444-440044-4-44000-44-4000000000000000000000000000000000000000000
χ5344-44-4-24-4-44-2442222-2-4-44-22-2-2-222000000002-20000000000000000000000000000
χ5444-44-4-24-4-44-2-4-42222-244-4-22-222-2-200000000-220000000000000000000000000000
χ5544-44-4-2-444-4-200-2-222-20002-22000000−2i32i3002i3−2i3000000000000000000000000000000
χ5644-44-4-2-444-4-200-2-222-20002-220000002i3−2i300−2i32i3000000000000000000000000000000
χ5744-4-44-244-4-4-200222-22000-2-2200004-4-2-20022000000000000000000000000000000
χ5844-4-44-244-4-4-200222-22000-2-220000-442200-2-2000000000000000000000000000000
χ5944-4-44-2-4-444-244-2-22-22-44-422-2-2-2-2-200000000220000000000000000000000000000
χ6044-4-44-2-4-444-2-4-4-2-22-224-4422-2222200000000-2-20000000000000000000000000000
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).