Finite Group Databasebeta

← Group #10692200

Character table — Group #10692200

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244444444444488888888161616161616161616161616161616162424242424242424242424244848
order122234466624444412121212121268888121212888824242424242424242424242424448888888822
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111-1-111111-11-1-1-111-1-1-11ii−i−i1-1-1i−i1-1ii−i−i11-1-1ii−i−i11-1-1i−ii−iii−i−i1-1
χ1011111-1-111111-11-1-1-111-1-1-11ii−i−i1-1-1i−i1-1ii−i−i11-1-1ii−i−i-1-111−ii−ii−i−iii-11
χ1111111-1-111111-11-1-1-111-1-1-11ii−i−i1-1-1−ii-11−i−iii-1-111ii−i−i11-1-1i−ii−i−i−iii-11
χ1211111-1-111111-11-1-1-111-1-1-11ii−i−i1-1-1−ii-11−i−iii-1-111ii−i−i-1-111−ii−iiii−i−i1-1
χ1311111-1-111111-11-1-1-111-1-1-11−i−iii1-1-1i−i-11ii−i−i-1-111−i−iii11-1-1−ii−iiii−i−i-11
χ1411111-1-111111-11-1-1-111-1-1-11−i−iii1-1-1i−i-11ii−i−i-1-111−i−iii-1-111i−ii−i−i−iii1-1
χ1511111-1-111111-11-1-1-111-1-1-11−i−iii1-1-1−ii1-1−i−iii11-1-1−i−iii11-1-1−ii−ii−i−iii1-1
χ1611111-1-111111-11-1-1-111-1-1-11−i−iii1-1-1−ii1-1−i−iii11-1-1−i−iii-1-111i−ii−iii−i−i-11
χ1722222222222-2-2-2-222-2-2-2-2222-22-2-22-20000000000002-22-200000000000000
χ1822222222222-2-2-2-222-2-2-2-222-22-22-22-2000000000000-22-2200000000000000
χ192222222222-22-2-22-22-2-2222-200002-2-20000000000000000000022-2-2000000
χ202222222222-22-2-22-22-2-2222-200002-2-200000000000000000000-2-222000000
χ212222222222-2-222-2-2222-2-22-20000-2-2200000000000000002-22-20000000000
χ222222222222-2-222-2-2222-2-22-20000-2-220000000000000000-22-220000000000
χ2322222-2-22222-22-22-2-2-2-222-222i−2i−2i2i-2-220000000000002i−2i−2i2i00000000000000
χ2422222-2-22222-22-22-2-2-2-222-22−2i2i2i−2i-2-22000000000000−2i2i2i−2i00000000000000
χ2522222-2-2222-222-2-22-2-2-2-2-2-2-20000222000000000000000000002i−2i−2i2i000000
χ2622222-2-2222-222-2-22-2-2-2-2-2-2-2000022200000000000000000000−2i2i2i−2i000000
χ2722222-2-2222-2-2-2222-22222-2-20000-22-200000000000000002-2-220000000000
χ2822222-2-2222-2-2-2222-22222-2-20000-22-20000000000000000-222-20000000000
χ292222-122-1-1-1222222-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-122-1-1-1222222-1-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-100000000000000
χ312222-122-1-1-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-11111111100000000000000
χ322222-122-1-1-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-2-2221111-1-1-1-1111100000000000000
χ332222-122-1-1-12-2-2-2-22-11111-1-12-22-21-1100003−33−33−33−3-11-1100000000000000
χ342222-122-1-1-12-2-2-2-22-11111-1-12-22-21-110000−33−33−33−33-11-1100000000000000
χ352222-122-1-1-12-2-2-2-22-11111-1-1-22-221-1100003−33−3−33−331-11-100000000000000
χ362222-122-1-1-12-2-2-2-22-11111-1-1-22-221-110000−33−333−33−31-11-100000000000000
χ372222-1-2-2-1-1-122-22-2-21-1-1111-12i2i−2i−2i-1112i−2i2-2−i−iii-1-111−i−iii00000000000000
χ382222-1-2-2-1-1-122-22-2-21-1-1111-12i2i−2i−2i-111−2i2i-22ii−i−i11-1-1−i−iii00000000000000
χ392222-1-2-2-1-1-122-22-2-21-1-1111-1−2i−2i2i2i-1112i−2i-22−i−iii11-1-1ii−i−i00000000000000
χ402222-1-2-2-1-1-122-22-2-21-1-1111-1−2i−2i2i2i-111−2i2i2-2ii−i−i-1-111ii−i−i00000000000000
χ412222-1-2-2-1-1-12-22-22-2111-1-11-12i−2i−2i2i11-10000−i3i3i3−i3−333−3−iii−i00000000000000
χ422222-1-2-2-1-1-12-22-22-2111-1-11-12i−2i−2i2i11-10000i3−i3−i3i33−3−33−iii−i00000000000000
χ432222-1-2-2-1-1-12-22-22-2111-1-11-1−2i2i2i−2i11-10000−i3i3i3−i33−3−33i−i−ii00000000000000
χ442222-1-2-2-1-1-12-22-22-2111-1-11-1−2i2i2i−2i11-10000i3−i3−i3i3−333−3i−i−ii00000000000000
χ454444-244-2-2-2-44-4-44-4-222-2-2-220000-222000000000000000000000000000000
χ464444-244-2-2-2-4-444-4-4-2-2-222-22000022-2000000000000000000000000000000
χ474444-2-4-4-2-2-2-444-4-4422222220000-2-2-2000000000000000000000000000000
χ484444-2-4-4-2-2-2-4-4-44442-2-2-2-22200002-22000000000000000000000000000000
χ4944-4-444-44-4-400000040000-4000000000000000000000000000000002i−2i2i−2i00
χ5044-4-444-44-4-400000040000-400000000000000000000000000000000−2i2i−2i2i00
χ5144-4-44-444-4-4000000-400004000000000000000000000000000000002-2-2200
χ5244-4-44-444-4-4000000-40000400000000000000000000000000000000-222-200
χ5388-8-8-48-8-444000000-40000400000000000000000000000000000000000000
χ5488-8-8-4-88-44400000040000-400000000000000000000000000000000000000
χ558-88-8800-88-800000000000000000000000000000000000000000000000000
χ568-88-8-4004-4400000000043−43000000000000000000000000000000000000000
χ578-88-8-4004-44000000000−4343000000000000000000000000000000000000000
χ588-8-88800-8-8800000000000000000000000000000000000000000000000000
χ598-8-88-40044-4000000043−4300000000000000000000000000000000000000000
χ608-8-88-40044-40000000−434300000000000000000000000000000000000000000

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