Finite Group Databasebeta

← Group #10692207

Character table — Group #10692207

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244444444444488888888161616161616161616161616161616162424242424242424242424244848
order122222366622444466121212124444661212888812121212242424242424242422444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-111111-11-11-1-1-111-1-1ii−i−i1-11-1i−i1-1ii−i−iii−i−i11-1-11-11-1i−ii−iii−i−i1-1
χ101111-1-111111-11-11-1-1-111-1-1ii−i−i1-11-1i−i1-1ii−i−iii−i−i11-1-1-11-11−ii−ii−i−iii-11
χ111111-1-111111-11-11-1-1-111-1-1ii−i−i1-11-1−ii-11ii−i−i−i−iii-1-1111-11-1i−ii−i−i−iii-11
χ121111-1-111111-11-11-1-1-111-1-1ii−i−i1-11-1−ii-11ii−i−i−i−iii-1-111-11-11−ii−iiii−i−i1-1
χ131111-1-111111-11-11-1-1-111-1-1−i−iii1-11-1i−i-11−i−iiiii−i−i-1-1111-11-1−ii−iiii−i−i-11
χ141111-1-111111-11-11-1-1-111-1-1−i−iii1-11-1i−i-11−i−iiiii−i−i-1-111-11-11i−ii−i−i−iii1-1
χ151111-1-111111-11-11-1-1-111-1-1−i−iii1-11-1−ii1-1−i−iii−i−iii11-1-11-11-1−ii−ii−i−iii1-1
χ161111-1-111111-11-11-1-1-111-1-1−i−iii1-11-1−ii1-1−i−iii−i−iii11-1-1-11-11i−ii−iii−i−i-11
χ17222222222222-2-2-2-222-2-2-2-22-22-222-2-200002-22-20000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2-22-2222-2-20000-22-220000000000000000000000
χ192222222222-2-22-2-2222-2-2220000-2-22-20000000000000000000022-2-2000000
χ202222222222-2-22-2-2222-2-2220000-2-22-200000000000000000000-2-222000000
χ212222222222-2-2-222-22222-2-20000-2-2-22000000000000000022-2-20000000000
χ222222222222-2-2-222-22222-2-20000-2-2-220000000000000000-2-2220000000000
χ23222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000
χ25222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-21111-1-1-1-1111100000000000000
χ26222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-100000000000000
χ27222222-1-1-1-122-2-2-2-2-1-111112-22-2-1-1110000-11-113−33−33−33−300000000000000
χ28222222-1-1-1-122-2-2-2-2-1-111112-22-2-1-1110000-11-11−33−33−33−3300000000000000
χ29222222-1-1-1-122-2-2-2-2-1-11111-22-22-1-11100001-11-13−33−3−33−3300000000000000
χ30222222-1-1-1-122-2-2-2-2-1-11111-22-22-1-11100001-11-1−33−333−33−300000000000000
χ312222-2-222222-2-22-22-2-2-2-2222i−2i−2i2i2-2-2200002i−2i−2i2i0000000000000000000000
χ322222-2-222222-2-22-22-2-2-2-222−2i2i2i−2i2-2-220000−2i2i2i−2i0000000000000000000000
χ332222-2-22222-2222-2-2-2-2-2-2-2-20000-2222000000000000000000002i−2i−2i2i000000
χ342222-2-22222-2222-2-2-2-2-2-2-2-20000-222200000000000000000000−2i2i2i−2i000000
χ352222-2-22222-22-2-222-2-222220000-22-2-200000000000000002-2-220000000000
χ362222-2-22222-22-2-222-2-222220000-22-2-20000000000000000-222-20000000000
χ372222-2-2-1-1-1-12-22-22-211-1-1112i2i−2i−2i-11-112i−2i2-2−i−iii−i−iii-1-11100000000000000
χ382222-2-2-1-1-1-12-22-22-211-1-1112i2i−2i−2i-11-11−2i2i-22−i−iiiii−i−i11-1-100000000000000
χ392222-2-2-1-1-1-12-22-22-211-1-111−2i−2i2i2i-11-112i−2i-22ii−i−i−i−iii11-1-100000000000000
χ402222-2-2-1-1-1-12-22-22-211-1-111−2i−2i2i2i-11-11−2i2i2-2ii−i−iii−i−i-1-11100000000000000
χ412222-2-2-1-1-1-12-2-22-221111-1-12i−2i−2i2i-111-10000−iii−i−i3i3i3−i3−333−300000000000000
χ422222-2-2-1-1-1-12-2-22-221111-1-12i−2i−2i2i-111-10000−iii−ii3−i3−i3i33−3−3300000000000000
χ432222-2-2-1-1-1-12-2-22-221111-1-1−2i2i2i−2i-111-10000i−i−ii−i3i3i3−i33−3−3300000000000000
χ442222-2-2-1-1-1-12-2-22-221111-1-1−2i2i2i−2i-111-10000i−i−iii3−i3−i3i3−333−300000000000000
χ45444444-2-2-2-2-4-44-4-44-2-222-2-2000022-22000000000000000000000000000000
χ46444444-2-2-2-2-4-4-444-4-2-2-2-2220000222-2000000000000000000000000000000
χ474444-4-4-2-2-2-2-4444-4-422222200002-2-2-2000000000000000000000000000000
χ484444-4-4-2-2-2-2-44-4-44422-2-2-2-200002-222000000000000000000000000000000
χ4944-4-44-444-4-40000004-40000000000000000000000000000000000002-22-200
χ5044-4-44-444-4-40000004-4000000000000000000000000000000000000-22-2200
χ5144-4-4-4444-4-4000000-440000000000000000000000000000000000002i−2i−2i2i00
χ5244-4-4-4444-4-4000000-44000000000000000000000000000000000000−2i2i2i−2i00
χ5388-8-88-8-4-444000000-44000000000000000000000000000000000000000000
χ5488-8-8-88-4-4440000004-4000000000000000000000000000000000000000000
χ558-88-8008-8-8800000000000000000000000000000000000000000000000000
χ568-88-800-444-40000000000−4i34i300000000000000000000000000000000000000
χ578-88-800-444-400000000004i3−4i300000000000000000000000000000000000000
χ588-8-88008-88-800000000000000000000000000000000000000000000000000
χ598-8-8800-44-440000000043−430000000000000000000000000000000000000000
χ608-8-8800-44-4400000000−43430000000000000000000000000000000000000000

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