Finite Group Databasebeta

← Group #10693260

Character table — Group #10693260

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881212121216161616161616161616161616161616242424242424242424244848
order1222344446662444412121212121222446121212888866888812122424242424242424444488888888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1
χ911111-1-1-1-11111-11-11-1-1-1-1-1-11-11-1111-1ii−i−i1-1i−ii−i1-1ii−i−iii−i−i11-1-1i−iii−i−i1-1
χ1011111-1-1-1-11111-11-11-1-1-1-1-1-11-11-1111-1ii−i−i1-1−ii−ii1-1−i−iii−i−iii-1-111i−iii−i−i-11
χ1111111-1-1-1-11111-11-11-1-1-1-1-1-11-11-1111-1−i−iii1-1i−ii−i1-1ii−i−iii−i−i-1-111−ii−i−iii-11
χ1211111-1-1-1-11111-11-11-1-1-1-1-1-11-11-1111-1−i−iii1-1−ii−ii1-1−i−iii−i−iii11-1-1−ii−i−iii1-1
χ1311111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11111-1ii−i−i-11i−i−ii-11−i−iiiii−i−i11-1-1i−i−i−iii-11
χ1411111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11111-1ii−i−i-11−iii−i-11ii−i−i−i−iii-1-111i−i−i−iii1-1
χ1511111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11111-1−i−iii-11i−i−ii-11−i−iiiii−i−i-1-111−iiii−i−i1-1
χ1611111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11111-1−i−iii-11−iii−i-11ii−i−i−i−iii11-1-1−iiii−i−i-11
χ17222222222222-2-22-2-2222-2-220000-22-2-2222200000000000000000000-2-2000000
χ18222222222222-2-22-2-2222-2-220000-22-2-2-2-2-2-20000000000000000000022000000
χ192222222-2-222222-2-2-22-2-2-2-2200002-2-22000000000000000000000000002i−2i2i−2i00
χ202222222-2-222222-2-2-22-2-2-2-2200002-2-2200000000000000000000000000−2i2i−2i2i00
χ212222222-2-2222-2-2-2222-2-222222-2-2-2-22-20000220000-2-200000000000000000000
χ222222222-2-2222-2-2-2222-2-2222-2-222-2-22-20000-2-200002200000000000000000000
χ2322222-2-2222222-2-22-2-22222-200002-2-2-2000000000000000000000000002-2-2200
χ2422222-2-2222222-2-22-2-22222-200002-2-2-200000000000000000000000000-222-200
χ2522222-2-222222-22-2-22-222-2-2-22-2-22-2-22200002-20000-2200000000000000000000
χ2622222-2-222222-22-2-22-222-2-2-2-222-2-2-2220000-2200002-200000000000000000000
χ2722222-2-2-2-2222-2222-2-2-2-222-20000-22-222i2i−2i−2i00000000000000000000−2i2i000000
χ2822222-2-2-2-2222-2222-2-2-2-222-20000-22-22−2i−2i2i2i000000000000000000002i−2i000000
χ292222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ302222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-10000-1-1-2-2-2-2-1-111111111000000000000
χ312222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-100001122-2-2111111-1-1-1-1000000000000
χ322222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1000011-2-22211-1-1-1-11111000000000000
χ332222-122-2-2-1-1-1-2-2-222-111-1-1-122-2-211-110000-1-1000011−i3i3−i3i3−i3i3−i3i3000000000000
χ342222-122-2-2-1-1-1-2-2-222-111-1-1-122-2-211-110000-1-1000011i3−i3i3−i3i3−i3i3−i3000000000000
χ352222-122-2-2-1-1-1-2-2-222-111-1-1-1-2-22211-110000110000-1-1−i3i3−i3i3i3−i3i3−i3000000000000
χ362222-122-2-2-1-1-1-2-2-222-111-1-1-1-2-22211-110000110000-1-1i3−i3i3−i3−i3i3−i3i3000000000000
χ372222-1-2-222-1-1-1-22-2-221-1-11112-2-2211-1-10000-1100001-13−3−333−3−33000000000000
χ382222-1-2-222-1-1-1-22-2-221-1-11112-2-2211-1-10000-1100001-1−333−3−333−3000000000000
χ392222-1-2-222-1-1-1-22-2-221-1-1111-222-211-1-100001-10000-113−3−33−333−3000000000000
χ402222-1-2-222-1-1-1-22-2-221-1-1111-222-211-1-100001-10000-11−333−33−3−33000000000000
χ412222-1-2-2-2-2-1-1-12-22-221111112-22-2-1-1-110000-112i−2i2i−2i-11−i−iii−i−iii000000000000
χ422222-1-2-2-2-2-1-1-12-22-221111112-22-2-1-1-110000-11−2i2i−2i2i-11ii−i−iii−i−i000000000000
χ432222-1-2-2-2-2-1-1-12-22-22111111-22-22-1-1-1100001-12i−2i−2i2i1-1ii−i−i−i−iii000000000000
χ442222-1-2-2-2-2-1-1-12-22-22111111-22-22-1-1-1100001-1−2i2i2i−2i1-1−i−iiiii−i−i000000000000
χ454444-24444-2-2-2-4-44-4-4-2-2-222-200002-22200000000000000000000000000000000
χ464444-244-4-4-2-2-244-4-4-4-22222-20000-222-200000000000000000000000000000000
χ474444-2-4-444-2-2-24-4-44-42-2-2-2-220000-222200000000000000000000000000000000
χ484444-2-4-4-4-4-2-2-2-4444-4222-2-2200002-22-200000000000000000000000000000000
χ4944-4-444-4004-4-40000040000-40000000022−2222−220000000000000000000000000000
χ5044-4-444-4004-4-40000040000-400000000−2222−22220000000000000000000000000000
χ5144-4-44-44004-4-400000-40000400000000−2i22i22i2−2i20000000000000000000000000000
χ5244-4-44-44004-4-400000-400004000000002i2−2i2−2i22i20000000000000000000000000000
χ534-44-44004i−4i-44-40000004i−4i00000000000000000000000000000002-22i−2i00000000
χ544-44-44004i−4i-44-40000004i−4i0000000000000000000000000000000-22−2i2i00000000
χ554-44-4400−4i4i-44-4000000−4i4i00000000000000000000000000000002-2−2i2i00000000
χ564-44-4400−4i4i-44-4000000−4i4i0000000000000000000000000000000-222i−2i00000000
χ5788-8-8-48-800-44400000-4000040000000000000000000000000000000000000000
χ5888-8-8-4-8800-4440000040000-40000000000000000000000000000000000000000
χ598-88-8-4008i−8i4-44000000−4i4i0000000000000000000000000000000000000000000
χ608-88-8-400−8i8i4-440000004i−4i0000000000000000000000000000000000000000000
χ618-8-8880000-8-88000000000000000000000000000000000000000000000000000
χ628-8-88-4000044-400000000−4i34i300000000000000000000000000000000000000000
χ638-8-88-4000044-4000000004i3−4i300000000000000000000000000000000000000000

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