Finite Group Databasebeta

← Group #11895705

Character table — Group #11895705

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order12224433446666661212121244441212121244444488882244446612121212121248888886121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-111
χ311111111111111111111-1-1111111111111-1-1-1-1111-1-1-111-1-111-1-11-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-11-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-111-1-1111-1-1111111-1-1
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1111-1-111-1-11-1-11111-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-11-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-11111-111-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1
χ101111-1-1111-1111111-1-1-1-111-1-1-111-1-1-11111-1-1-1-111-11-1-11111-1-1-1-1-111-1-1111-11-1
χ111111-1-1111-1111111-1-1-1-1-1-111-111-1-1-11111-1-1-1-1-1-11-111-1-1-1-11111-111-1-111-11-11
χ121111-1-1111-1111111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-11111-1-1-1-111-1-1-111-1-11-1-11
χ131111-1-111-11111111-1-1-1-111111-1-1111-1-1111111-11-1-1-11-1-11111-1-1-1-1-1-1-1111-1-11
χ141111-1-111-11111111-1-1-1-111-1-11-1-1111-1-111-1-1-1-11-11-1-111111-1-1-1-1-11111-1-1-11-11
χ151111-1-111-11111111-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-11-111-1-1-1-1-11111-11111-1-11-11-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-11-1-1111-1-11111111-1111-111-1-1-1-111-1-1-1-1-111-111-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-20000-222-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-200002-2-22-2-222-2-200000000000000000020000000000
χ2122-2-2002200-222-2-2-200002-22i−2i00000000-222i2i−2i−2i000000002-22i−2i0000000000000
χ2222-2-2002200-222-2-2-200002-2−2i2i00000000-22−2i−2i2i2i000000002-2−2i2i0000000000000
χ2322-2-2002200-222-2-2-20000-222i−2i00000000-22−2i−2i2i2i00000000-222i−2i0000000000000
χ2422-2-2002200-222-2-2-20000-22−2i2i00000000-222i2i−2i−2i00000000-22−2i2i0000000000000
χ252-2-222i−2i22002-2-2-2-222i2i−2i−2i000000002i−2i2-2002−22−2000000000000000−i2i22−2−i2i20000
χ262-2-222i−2i22002-2-2-2-222i2i−2i−2i000000002i−2i2-200−22−22000000000000000i2−i2−22i2−i20000
χ272-2-222i−2i22002-2-2-2-222i2i−2i−2i00000000−2i2i-22002−22−2000000000000000−i2i2−22i2−i20000
χ282-2-222i−2i22002-2-2-2-222i2i−2i−2i00000000−2i2i-2200−22−22000000000000000i2−i22−2−i2i20000
χ292-2-22−2i2i22002-2-2-2-22−2i−2i2i2i000000002i−2i-22002−22−2000000000000000i2−i2−22−i2i20000
χ302-2-22−2i2i22002-2-2-2-22−2i−2i2i2i000000002i−2i-2200−22−22000000000000000−i2i22−2i2−i20000
χ312-2-22−2i2i22002-2-2-2-22−2i−2i2i2i00000000−2i2i2-2002−22−2000000000000000i2−i22−2i2−i20000
χ322-2-22−2i2i22002-2-2-2-22−2i−2i2i2i00000000−2i2i2-200−22−22000000000000000−i2i2−22−i2i20000
χ334444441-244-21-21-211-21-22200-21-21000000000000022200-1-100-1-1000000000-1-1
χ344444441-244-21-21-211-21-2-2-200-21-210000000000000-2-2-20011001100000000011
χ354444441-2-4-4-21-21-211-21-222002-12-10000000000000-22-200-1-100-1-100000000011
χ364444441-2-4-4-21-21-211-21-2-2-2002-12-100000000000002-2200110011000000000-1-1
χ37444444-21441-21-21-2-21-2100221-21-20000000000222000-1-100-1-1000000000-1-100
χ38444444-21441-21-21-2-21-2100-2-21-21-20000000000-2-2-20001100110000000001100
χ39444444-21-4-41-21-21-2-21-210022-12-1200000000002-2-2000-1-100-1-10000000001100
χ40444444-21-4-41-21-21-2-21-2100-2-2-12-120000000000-222000110011000000000-1-100
χ414444-4-41-24-4-21-21-21-12-12220021-2-100000000000002-2-200-1-10011000000000-11
χ424444-4-41-24-4-21-21-21-12-12-2-20021-2-10000000000000-222001100-1-10000000001-1
χ434444-4-41-2-44-21-21-21-12-122200-2-1210000000000000-2-2200-1-100110000000001-1
χ444444-4-41-2-44-21-21-21-12-12-2-200-2-121000000000000022-2001100-1-1000000000-11
χ454444-4-4-214-41-21-21-22-12-10022-1-2120000000000-2-220001100-1-10000000001-100
χ464444-4-4-214-41-21-21-22-12-100-2-2-1-212000000000022-2000-1-10011000000000-1100
χ474444-4-4-21-441-21-21-22-12-1002212-1-20000000000-22-20001100-1-1000000000-1100
χ484444-4-4-21-441-21-21-22-12-100-2-212-1-200000000002-22000-1-100110000000001-100
χ4944-4-4004400-444-4-4-400000000000000004-400000000000000000000000000000
χ504-44-4004400-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ514-44-4004400-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ5288-8-8002-40042-4-24-200004-4000000000000000000000000-22000000000000000
χ5388-8-8002-40042-4-24-20000-440000000000000000000000002-2000000000000000
χ5488-8-800-4200-2-424-240000004i−4i000000000000000000000000−2i2i0000000000000
χ5588-8-800-4200-2-424-24000000−4i4i0000000000000000000000002i−2i0000000000000
χ568-88-8002-4004-242-4-2000000000000000000000000000000000023−2300000000000
χ578-88-8002-4004-242-4-20000000000000000000000000000000000−232300000000000
χ588-88-800-4200-24-2-4240000000000000000000000000000−2i32i300000000000000000
χ598-88-800-4200-24-2-42400000000000000000000000000002i3−2i300000000000000000
χ608-8-888i−8i2-400-4-24-2422i−4i−2i4i0000000000000000000000000000000000000000000
χ618-8-888i−8i-420024-24-2-4−4i2i4i−2i0000000000000000000000000000000000000000000
χ628-8-88−8i8i2-400-4-24-242−2i4i2i−4i0000000000000000000000000000000000000000000
χ638-8-88−8i8i-420024-24-2-44i−2i−4i2i0000000000000000000000000000000000000000000

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