Finite Group Databasebeta

← Group #11864463

Character table — Group #11864463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666622366612121212266668121224242424242424242244444488881212121266666622444466121212122424242444121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1111-1-1-111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-1-1-1111-1-111-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-1-1-11-11-1-1-111-1-111111-1-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-1-1-1-11-1111-1-111-1-111-11-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ1311111111111111-1-111111111-1-1-1-1-111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-1111111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-111-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-11-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-11-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-2000000-2-20000000022-200-2000000-2-2-2-2000000-2-222002200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-2000000002-2-2002000000-2-22200000022-2-2002-200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-200000000-22200-200000022-2-200000022-2-200-2200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-200000000-2-220020000002222000000-2-22200-2-200000000000000
χ2122222-1222-12-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-102000222002200-1-12-1-1-1-1-10000020-100-1-100-1-1000-100
χ2222222-1222-12-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-10-2000-2-2-200-2-200112-1-1-1-1-100000-20100110011000100
χ2322222-1222-12-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110200022200-2-200-1-1-21-1-11100000-20-100-1-10011000100
χ2422222-1222-12-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110-2000-2-2-200220011-21-1-11100000201001100-1-1000-100
χ2522222-1222-12-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-2111111020002-2-200-2-200-1-12-111-1-10000020-100110011000-100
χ2622222-1222-12-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-21111110-2000-222002200112-111-1-100000-20100-1-100-1-1000100
χ2722222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-1020002-2-2002200-1-1-21111100000-20-1001100-1-1000100
χ2822222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-10-2000-22200-2-20011-2111110000020100-1-10011000-100
χ292222-1222-12-12-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1202220002200-1-100-12-1-1-1-1000020-10-1-100-1-10000-1000
χ302222-1222-12-12-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1-20-2-2-2000-2-2001100-12-1-1-1-10000-201011001100001000
χ312222-1222-12-12-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-2111120222000-2-200-1-1001-2-1-1110000-20-10-1-1001100001000
χ322222-1222-12-12-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-21111-20-2-2-2000220011001-2-1-111000020101100-1-10000-1000
χ332222-1222-12-12-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111202-2-2000-2-200-1-100-1211-1-1000020-101100110000-1000
χ342222-1222-12-12-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111-20-22200022001100-1211-1-10000-2010-1-100-1-100001000
χ352222-1222-12-12-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1202-2-20002200-1-1001-211110000-20-101100-1-100001000
χ362222-1222-12-12-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1-20-222000-2-20011001-2111100002010-1-100110000-1000
χ372-2-22222-2-2-2-2-222002-2-22-2-2220000002-2000000000002-202-2000000000000002-22-200002-22-20000000000
χ382-2-22222-2-2-2-2-222002-2-22-2-2220000002-2000000000002-20-2200000000000000-22-2200002-2-220000000000
χ392-2-22222-2-2-2-2-222002-2-22-2-2220000002-200000000000-2202-200000000000000-22-220000-222-20000000000
χ402-2-22222-2-2-2-2-222002-2-22-2-2220000002-200000000000-220-22000000000000002-22-20000-22-220000000000
χ412-2-2222-22-2-2-2-2222-22-2-2222-2-202-22-20-22000000000000000000000000002-2002-2-220000000000002-20000
χ422-2-2222-22-2-2-2-2222-22-2-2222-2-202-22-20-22000000000000000000000000002-200-222-2000000000000-220000
χ432-2-2222-22-2-2-2-222-222-2-2222-2-20-22-220-2200000000000000000000000000-22002-2-22000000000000-220000
χ442-2-2222-22-2-2-2-222-222-2-2222-2-20-22-220-2200000000000000000000000000-2200-222-20000000000002-20000
χ4544444-2-4-44-24-24-200-2-2-2-2-42-42000000220000000004000-400000000220000000000000-200000000000000
χ4644444-2-4-44-24-24-200-2-2-2-2-42-4200000022000000000-4000400000000-2-20000000000000200000000000000
χ474444-24-4-4-24-24-2400-2-2-2-22-42-4000000220000000040-40000000002200000000000000-2000000000000000
χ484444-24-4-4-24-24-2400-2-2-2-22-42-40000002200000000-404000000000-2-2000000000000002000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-444004-4-44-4-40044-4-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ5444-4-444004-4-44-4-40044-4-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ5544-4-4-2400-2-4242-400-2-222000000000000i6−i600i6i6−i6−i600000000−2i22i20023−2300000000000000000000i2−i200000000
χ5644-4-4-2400-2-4242-400-2-222000000000000i6−i600i6i6−i6−i6000000002i2−2i200−232300000000000000000000−i2i200000000
χ5744-4-4-2400-2-4242-400-2-222000000000000−i6i600−i6−i6i6i600000000−2i22i200−232300000000000000000000i2−i200000000
χ5844-4-4-2400-2-4242-400-2-222000000000000−i6i600−i6−i6i6i6000000002i2−2i20023−2300000000000000000000−i2i200000000
χ594-44-44400-444-4-4-4004-44-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ604-44-44400-444-4-4-4004-44-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ614-44-44-200-4-242-4200-22-2200000000000000i6−i6i6−i6i6−i60000000000−2i22i20023−2300000000000000000000i2−i2000000
χ624-44-44-200-4-242-4200-22-2200000000000000i6−i6i6−i6i6−i600000000002i2−2i200−232300000000000000000000−i2i2000000
χ634-44-44-200-4-242-4200-22-2200000000000000−i6i6−i6i6−i6i60000000000−2i22i200−232300000000000000000000i2−i2000000
χ644-44-44-200-4-242-4200-22-2200000000000000−i6i6−i6i6−i6i600000000002i2−2i20023−2300000000000000000000−i2i2000000
χ654-4-444-24-4-42-424-200-222-2-424-2000000-22000000000000004-4000000000000000000000000-220000000000
χ664-4-444-24-4-42-424-200-222-2-424-2000000-2200000000000000-440000000000000000000000002-20000000000
χ674-4-444-2-44-42-424-24-4-222-24-2-4204-4-2202-200000000000000000000000000-22000000000000000000000000
χ684-4-444-2-44-42-424-2-44-222-24-2-420-442-202-2000000000000000000000000002-2000000000000000000000000
χ694-4-44-244-42-42-4-2400-222-22-4-24000000-22000000000004-40000000000000000000000000-22000000000000
χ704-4-44-244-42-42-4-2400-222-22-4-24000000-2200000000000-4400000000000000000000000002-2000000000000
χ714-4-44-24-442-42-4-244-4-222-2-242-40-224-402-200000000000000000000000000-22000000000000000000000000
χ724-4-44-24-442-42-4-24-44-222-2-242-402-2-4402-2000000000000000000000000002-2000000000000000000000000
χ734-4-44-2-2-442222-2-24-41-1-11-2-2220-22-220-1100003-3-330000000000000000001-13-30000000000000000000000
χ744-4-44-2-2-442222-2-24-41-1-11-2-2220-22-220-110000-333-30000000000000000001-1-330000000000000000000000
χ754-4-44-2-2-442222-2-2-441-1-11-2-22202-22-20-1100003-3-33000000000000000000-11-330000000000000000000000
χ764-4-44-2-2-442222-2-2-441-1-11-2-22202-22-20-110000-333-3000000000000000000-113-30000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-40084-8-4-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4440022-2-20000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4440022-2-2000000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000000000
χ818-88-8-480048-4-84-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-4444002-22-2000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-4444002-22-200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-4002-2-2244-4-40000002-20000000000000000000000000000000000000000000000000000

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