Finite Group Databasebeta

← Group #10827749

Character table — Group #10827749

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222222222224444444488888888888881212121212121212161616161616161616161616161624242424242424244848
order1222222223666226666662224444446666224444444466121212121212121212122444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-111111111111111-1-11-1-1-11-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111-11-11-1-1-1-111111111-1-1-1-11-1-11-1-1-11-1-111-1-111-1-111-1-11-1
χ61111111111111111111111-11-11-1-1-1-11111-1-1-1-111111-1-11-1-1-11-1-111-1-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-11
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-1-1-1111-1
χ91111111111111-1-1111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-11
χ101111111111111-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-1-1-11111-1-11-1
χ111111111111111-1-1111111-11-11-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-11-1-1-11111-1-111-1-1111-1
χ121111111111111-1-1111111-11-11-111-1-1-1-1-1-1-1-1-1-111111-11-1-1-11-1-1-1111111-1-111-1-1-11
χ131111111111111-1-1111111-1-11-111111-1-1-1-111111111-1-1-11-1-1-1111-1-1111111-1-1-1-1-1-1
χ141111111111111-1-1111111-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1111111
χ151111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ161111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1
χ17222222222-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ18222222222-1-1-1-122-1-1-1-1-1-122-22-2-2-222-1-1-1-100000000-2-2-1111-11-1-111110000000000
χ19222222222-1-1-1-122-1-1-1-1-1-12-22-22-2-2-2-2-1-1-1-1000000002-21-1111-111-1-1110000000000
χ20222222222-1-1-1-122-1-1-1-1-1-12-2-2-2-222-2-2-1-1-1-100000000-2211-1-1111111-1-10000000000
χ21222222222-1-1-1-1-2-2-1-1-1-1-1-1-22222-2-2-2-2111100000000-22-1-1-1-1-1-11111110000000000
χ22222222222-1-1-1-1-2-2-1-1-1-1-1-1-22-22-222-2-21111000000002-2-1111-1111-1-1-1-10000000000
χ23222222222-1-1-1-1-2-2-1-1-1-1-1-1-2-22-222222111100000000-2-21-1111-1-1-111-1-10000000000
χ24222222222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2-2-2-2221111000000002211-1-111-1-1-1-1110000000000
χ2522222-2-2-2-22222002-2-22-2-20020-20000000000002i2i−2i−2i0002000-2000000002i−2i000000
χ2622222-2-2-2-22222002-2-22-2-20020-2000000000000−2i−2i2i2i0002000-200000000−2i2i000000
χ2722222-2-2-2-22222002-2-22-2-200-2020000000000002i2i−2i−2i000-2000200000000−2i2i000000
χ2822222-2-2-2-22222002-2-22-2-200-202000000000000−2i−2i2i2i000-20002000000002i−2i000000
χ29222-2-222-2-22-2-2200222-2-2-2000002i−2i00000000002i−2i2i−2i0000000000002i−2i2-200000000
χ30222-2-222-2-22-2-2200222-2-2-2000002i−2i0000000000−2i2i−2i2i0000000000002i−2i-2200000000
χ31222-2-222-2-22-2-2200222-2-2-200000−2i2i00000000002i−2i2i−2i000000000000−2i2i-2200000000
χ32222-2-222-2-22-2-2200222-2-2-200000−2i2i0000000000−2i2i−2i2i000000000000−2i2i2-200000000
χ33222-2-2-2-2222-2-22002-2-2-22200000002-2000022-2-22-2-22000000002-200000000000000
χ34222-2-2-2-2222-2-22002-2-2-22200000002-20000-2-222-222-2000000002-200000000000000
χ35222-2-2-2-2222-2-22002-2-2-2220000000-22000022-2-2-222-200000000-2200000000000000
χ36222-2-2-2-2222-2-22002-2-2-2220000000-220000-2-2222-2-2200000000-2200000000000000
χ3722-22-22-2-22222200-22-2-22-2020-20000000002-22-20000002000-200000000000002-200
χ3822-22-22-2-22222200-22-2-22-2020-2000000000-22-220000002000-20000000000000-2200
χ3922-22-22-2-22222200-22-2-22-20-2020000000002-22-2000000-200020000000000000-2200
χ4022-22-22-2-22222200-22-2-22-20-202000000000-22-22000000-2000200000000000002-200
χ4122-2-22-22-222-2-2222-2-2222-2-20000000022-2-22-2-2200000000000000000000002-20000
χ4222-2-22-22-222-2-2222-2-2222-2-20000000022-2-2-222-20000000000000000000000-220000
χ4322-2-22-22-222-2-22-2-2-2-2222-2200000000-2-2222-2-220000000000000000000000-220000
χ4422-2-22-22-222-2-22-2-2-2-2222-2200000000-2-222-222-200000000000000000000002-20000
χ4544444-4-4-4-4-2-2-2-200-222-2220040-40000000000000000000-200020000000000000000
χ4644444-4-4-4-4-2-2-2-200-222-22200-40400000000000000000002000-20000000000000000
χ47444-4-444-4-4-222-200-2-2-2222000004i−4i00000000000000000000000000−2i2i0000000000
χ48444-4-444-4-4-222-200-2-2-222200000−4i4i000000000000000000000000002i−2i0000000000
χ49444-4-4-4-444-222-200-2222-2-200000004-400000000000000000000-2200000000000000
χ50444-4-4-4-444-222-200-2222-2-20000000-44000000000000000000002-200000000000000
χ5144-44-44-4-44-2-2-2-2002-222-22040-40000000000000000000-2000200000000000000000
χ5244-44-44-4-44-2-2-2-2002-222-220-40400000000000000000002000-200000000000000000
χ5344-44-4-444-4444400-4-44-4-44000000000000000000000000000000000000000000000
χ5444-44-4-444-4-2-2-2-20022-222-20000000000000000000000000−2i32i3000000000000000000
χ5544-44-4-444-4-2-2-2-20022-222-200000000000000000000000002i3−2i3000000000000000000
χ5644-4-444-44-44-4-4400-44-44-44000000000000000000000000000000000000000000000
χ5744-4-444-44-4-222-2002-22-22-20000000000000000000000000000000−2i32i3000000000000
χ5844-4-444-44-4-222-2002-22-22-200000000000000000000000000000002i3−2i3000000000000
χ5944-4-44-44-44-222-24422-2-2-22-400000000-2-22200000000000000000000000000000000
χ6044-4-44-44-44-222-2-4-422-2-2-2240000000022-2-200000000000000000000000000000000
χ618-80000000800-84-40000000000000004-40000000000000000000000000000000000
χ628-80000000800-8-44000000000000000-440000000000000000000000000000000000
χ638-80000000-4−4i34i344-4000000000000000-22−2i32i300000000000000000000000000000000
χ648-80000000-4−4i34i34-440000000000000002-22i3−2i300000000000000000000000000000000
χ658-80000000-44i3−4i344-4000000000000000-222i3−2i300000000000000000000000000000000
χ668-80000000-44i3−4i34-440000000000000002-2−2i32i300000000000000000000000000000000

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