Finite Group Databasebeta

← Group #11899750

Character table — Group #11899750

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222444488888888888888181818181818242424242424242424242424242424242424242424242424363636363636363636
order12222444433666666661212121212121212881616161622224444666666661212121212121212888161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ311111111111111111111111111111-1-1-1-1111-11-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ5111-1-11-1-1111111-1-11-1-111-1-111-1-111111111-1-1-111-1-1-11111-1-1-1-11111-1-11-1-111-1-1-1-1
χ6111-1-11-1-1111111-1-11-1-111-1-111-1-1111111-1-1111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1
χ7111-1-11-1-1111111-1-11-1-111-1-111-1-111-1-1-1-111-11-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ8111-1-11-1-1111111-1-11-1-111-1-111-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-1-111111111-1-11-1-1-1-11111
χ911-11-1-11-111111-11-1-11-11-11-11-11-11111111-11-1-11-11-1-111-1-111-1-111-1-111-11-1-1-111-1-1
χ1011-11-1-11-111111-11-1-11-11-11-11-11-1111111-11-111-11-111-1-111-1-111-1-111-1-1-11-1-1-111-1-1
χ1111-11-1-11-111111-11-1-11-11-11-11-11-111-1-1-1-11-111-1-11-11111-1-111-1-1-1-111-1-1-11-111-1-111
χ1211-11-1-11-111111-11-1-11-11-11-11-11-111-1-1-1-1-11-1-111-11-1-1-1-111-1-11111-1-111-11-111-1-111
χ1311-1-11-1-1111111-1-11-1-111-1-111-1-111111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111
χ1411-1-11-1-1111111-1-11-1-111-1-111-1-11111111-111-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111
χ1511-1-11-1-1111111-1-11-1-111-1-111-1-1111-1-1-1-11-1-1-11-111-1-111-1-1-1-111-1-11111-1-111111-1-1
χ1611-1-11-1-1111111-1-11-1-111-1-111-1-1111-1-1-1-1-1111-11-1-111-1-11111-1-111-1-1-1-1-1-111111-1-1
χ17222222222222222222222222222-2-20000000000000000000000000000-2-2-2000000
χ182222-2-2-22-2222222-222-2-2-2-22-2-2-220022−2−20000000000000000000000000002−22−22−2
χ192222-2-2-22-2222222-222-2-2-2-22-2-2-2200−2−222000000000000000000000000000−22−22−22
χ20222-22-22-2-222222-222-22-2-22-2-2-22-20022−2−20000000000000000000000000002−2−22−22
χ21222-22-22-2-222222-222-22-2-22-2-2-22-200−2−222000000000000000000000000000−222−22−2
χ22222-2-22-2-2222222-2-22-2-222-2-222-2-2-2-20000000000000000000000000000-222000000
χ2322-2222-2-2-22222-222-222-22-2-2-22-2-20022−2−2000000000000000000000000000−222−2−22
χ2422-2222-2-2-22222-222-222-22-2-2-22-2-200−2−2220000000000000000000000000002−2−222−2
χ2522-22-2-22-222222-22-2-22-22-22-22-22-2-2-200000000000000000000000000002-22000000
χ2622-2-22-2-2222222-2-22-2-222-2-222-2-22-2-2000000000000000000000000000022-2000000
χ2722-2-2-2222-22222-2-2-2-2-2-2-2222-22220022−2−2000000000000000000000000000−22−222−2
χ2822-2-2-2222-22222-2-2-2-2-2-2-2222-222200−2−2220000000000000000000000000002−22−2−22
χ294444444441-2-21111-2-2-2-2-2-2-2111100000000020222-1-100000000-1-1-1-1-1-1000000000
χ304444444441-2-21111-2-2-2-2-2-2-21111000000000-20-2-2-21100000000111111000000000
χ31444444444-211-2-2-2-21111111-2-2-2-20000002220200000-1-1-1-1-1-1-1-1000000000000000
χ32444444444-211-2-2-2-21111111-2-2-2-2000000-2-2-20-20000011111111000000000000000
χ334444-4-4-44-41-2-2111-1-2-22222-2-1-1-1100000000000000−i3i300000000−i3i3−i3i3−i3i3000000000
χ344444-4-4-44-41-2-2111-1-2-22222-2-1-1-1100000000000000i3−i300000000i3−i3i3−i3i3−i3000000000
χ354444-4-4-44-4-211-2-2-2211-1-1-1-11222-20000000000000000−i3i3−i3i3−i3i3−i3i3000000000000000
χ364444-4-4-44-4-211-2-2-2211-1-1-1-11222-20000000000000000i3−i3i3−i3i3−i3i3−i3000000000000000
χ37444-44-44-4-41-2-211-11-22-222-22-1-11-100000000000000−i3i300000000i3−i3i3−i3−i3i3000000000
χ38444-44-44-4-41-2-211-11-22-222-22-1-11-100000000000000i3−i300000000−i3i3−i3i3i3−i3000000000
χ39444-44-44-4-4-211-2-22-21-11-1-11-122-220000000000000000−i3i3−i3i3i3−i3i3−i3000000000000000
χ40444-44-44-4-4-211-2-22-21-11-1-11-122-220000000000000000i3−i3i3−i3−i3i3−i3i3000000000000000
χ41444-4-44-4-441-2-211-1-1-222-2-22211-1-100000000020-2-22-1-1000000001111-1-1000000000
χ42444-4-44-4-441-2-211-1-1-222-2-22211-1-1000000000-2022-21100000000-1-1-1-111000000000
χ43444-4-44-4-44-211-2-2221-1-111-1-1-2-22200000022-20-200000-1-1-1-11111000000000000000
χ44444-4-44-4-44-211-2-2221-1-111-1-1-2-222000000-2-2202000001111-1-1-1-1000000000000000
χ4544-4444-4-4-41-2-21-1112-2-22-222-11-1-100000000000000−i3i300000000i3−i3−i3i3i3−i3000000000
χ4644-4444-4-4-41-2-21-1112-2-22-222-11-1-100000000000000i3−i300000000−i3i3i3−i3−i3i3000000000
χ4744-4444-4-4-4-211-22-2-2-111-11-1-12-2220000000000000000−i3i3i3−i3−i3i3i3−i3000000000000000
χ4844-4444-4-4-4-211-22-2-2-111-11-1-12-2220000000000000000i3−i3−i3i3i3−i3−i3i3000000000000000
χ4944-44-4-44-441-2-21-11-12-22-22-221-11-100000000020-22-2-1-10000000011-1-111000000000
χ5044-44-4-44-441-2-21-11-12-22-22-221-11-1000000000-202-221100000000-1-111-1-1000000000
χ5144-44-4-44-44-211-22-22-11-11-11-1-22-220000002-220-200000-1-111-1-111000000000000000
χ5244-44-4-44-44-211-22-22-11-11-11-1-22-22000000-22-2020000011-1-111-1-1000000000000000
χ5344-4-44-4-4441-2-21-1-1122-2-222-21-1-11000000000202-2-2-1-100000000-1-11111000000000
χ5444-4-44-4-4441-2-21-1-1122-2-222-21-1-11000000000-20-222110000000011-1-1-1-1000000000
χ5544-4-44-4-444-211-222-2-1-111-1-11-222-20000002-2-20200000-1-11111-1-1000000000000000
χ5644-4-44-4-444-211-222-2-1-111-1-11-222-2000000-2220-20000011-1-1-1-111000000000000000
χ5744-4-4-4444-41-2-21-1-1-12222-2-2-2-111100000000000000−i3i300000000−i3i3i3−i3i3−i3000000000
χ5844-4-4-4444-41-2-21-1-1-12222-2-2-2-111100000000000000i3−i300000000i3−i3−i3i3−i3i3000000000
χ5944-4-4-4444-4-211-2222-1-1-1-11112-2-2-20000000000000000−i3i3i3−i3i3−i3−i3i3000000000000000
χ6044-4-4-4444-4-211-2222-1-1-1-11112-2-2-20000000000000000i3−i3−i3i3−i3i3i3−i3000000000000000
χ614-4000000044-4-40000000000000022−22−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000000000000000000000000
χ624-4000000044-4-40000000000000022−222ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000000000000000000000000000000
χ634-4000000044-4-400000000000000−22222ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000000000000000000000000000000
χ644-4000000044-4-400000000000000−2222−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000000000000000000000000
χ6516-1600000004-88-400000000000000000000000000000000000000000000000000000
χ6616-160000000-84-4800000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.