Finite Group Databasebeta

← Group #11864386

Character table — Group #11864386

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212481212121212122424242424242424222222448888121212121212121212122244446666662424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-11-111-1-111-1-1111111-1-1-1-11-1111-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1111-11-1-111-1-111111111-1-1-1-1-11-1-1-1111-1-111-1-1-11-1-1
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
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-111-1-1111111-1-111-111-11111-1-1-1-11-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1111-1-111-11-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-111-1-111-1-1-1-11-1-1-1111-1-1-111111-1-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111111111-1-11-1-11-1-1-1-1-1-1111-1
χ13111111111111111-1-11111111-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-111-11
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111111-11-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-1111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-111-1
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-11-1-111111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002002-2-20000-2-2-2-2000000-2-222000020020000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-20000000000200-2-220000-2-22200000022-2-20000200-20000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-20022-2000022-2-200000022-2-20000-20020000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-200-22200002222000000-2-2220000-200-20000000000
χ2122222-1222-12-12-1-122-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-100022202002200-1-12-1-1-1-1-1000002000-1-1-100-1-1000-100
χ2222222-1222-12-12-1-122-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-1000-2-2-20-200-2-200112-1-1-1-1-100000-20001110011000100
χ2322222-1222-12-12-1-122-1-1-12-12-1-2-222-1-1-1-1-2-21111110002220200-2-200-1-1-21-1-11100000-2000-1-1-10011000100
χ2422222-1222-12-12-1-122-1-1-12-12-1-2-222-1-1-1-1-2-2111111000-2-2-20-200220011-21-1-11100000200011100-1-1000-100
χ2522222-1222-12-12-1-1-2-2-1-1-12-12-12-2-2-211-1-1-2-211111100022-20-2002200112-111-1-100000-2000-1-1100-1-1000100
χ2622222-1222-12-12-1-1-2-2-1-1-12-12-12-2-2-211-1-1-2-2111111000-2-220200-2-200-1-12-111-1-100000200011-10011000-100
χ2722222-1222-12-12-1-1-2-2-1-1-12-12-1-22-2-211-1-122-1-1-1-1-1-100022-20-200-2-20011-211111000002000-1-110011000-100
χ2822222-1222-12-12-1-1-2-2-1-1-12-12-1-22-2-211-1-122-1-1-1-1-1-1000-2-2202002200-1-1-21111100000-200011-100-1-1000100
χ292222-1222-12-12-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1222000202200-1-100-12-1-1-1-1000020-1-1-1000-1-10000-1000
χ302222-1222-12-12-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1-2-2-2000-20-2-2001100-12-1-1-1-10000-201110001100001000
χ312222-1222-12-12-12-122-1-1-1-12-12-2-2-1-122-1-111-2-2111122200020-2-200-1-1001-2-1-1110000-20-1-1-10001100001000
χ322222-1222-12-12-12-122-1-1-1-12-12-2-2-1-122-1-111-2-21111-2-2-2000-20220011001-2-1-111000020111000-1-10000-1000
χ332222-1222-12-12-12-1-2-2-1-1-1-12-122-211-2-2-1-111-2-2111122-2000-2022001100-1211-1-10000-20-1-11000-1-100001000
χ342222-1222-12-12-12-1-2-2-1-1-1-12-122-211-2-2-1-111-2-21111-2-2200020-2-200-1-100-1211-1-100002011-1000110000-1000
χ352222-1222-12-12-12-1-2-2-1-1-1-12-12-2211-2-2-1-1-1-122-1-1-1-122-2000-20-2-20011001-21111000020-1-11000110000-1000
χ362222-1222-12-12-12-1-2-2-1-1-1-12-12-2211-2-2-1-1-1-122-1-1-1-1-2-22000202200-1-1001-211110000-2011-1000-1-100001000
χ372-2-22222-2-2-2-2-222200-2-22-2-2220000002-2000000002-202-2000000000000000002-22-2002-202-200000000000
χ382-2-22222-2-2-2-2-222200-2-22-2-2220000002-2000000002-20-2200000000000000000-22-22002-20-2200000000000
χ392-2-22222-2-2-2-2-222200-2-22-2-2220000002-200000000-2202-200000000000000000-22-2200-2202-200000000000
χ402-2-22222-2-2-2-2-222200-2-22-2-2220000002-200000000-220-22000000000000000002-22-200-220-2200000000000
χ412-2-2222-22-2-2-2-22222-2-2-2222-2-2002-22-2-22000000000000000000000000002-2002-2-220000000000002-20000
χ422-2-2222-22-2-2-2-22222-2-2-2222-2-2002-22-2-22000000000000000000000000002-200-222-2000000000000-220000
χ432-2-2222-22-2-2-2-2222-22-2-2222-2-200-22-22-2200000000000000000000000000-22002-2-22000000000000-220000
χ442-2-2222-22-2-2-2-2222-22-2-2222-2-200-22-22-2200000000000000000000000000-2200-222-20000000000002-20000
χ4544444-2-4-44-24-24-2-200-2-2-2-42-4200000022000000000000040-40000002200000000000000000-20000000000
χ4644444-2-4-44-24-24-2-200-2-2-2-42-42000000220000000000000-404000000-2-20000000000000000020000000000
χ474444-24-4-4-24-24-24-200-2-2-22-42-40000002200000000004000-400000220000000000000000-20000000000000
χ484444-24-4-4-24-24-24-200-2-2-22-42-4000000220000000000-4000400000-2-2000000000000000020000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-444004-4-44-4-44004-4-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ5444-4-444004-4-44-4-44004-4-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ5544-4-44-20042-4-2-42-200-22200000000000000i6−i6i6i6−i6−i60000000000−2i22i20023−2300000000000000000000i2−i2000000
χ5644-4-44-20042-4-2-42-200-22200000000000000i6−i6i6i6−i6−i600000000002i2−2i200−232300000000000000000000−i2i2000000
χ5744-4-44-20042-4-2-42-200-22200000000000000−i6i6−i6−i6i6i60000000000−2i22i200−232300000000000000000000i2−i2000000
χ5844-4-44-20042-4-2-42-200-22200000000000000−i6i6−i6−i6i6i600000000002i2−2i20023−2300000000000000000000−i2i2000000
χ594-44-44400-444-4-4-4400-44-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ604-44-44400-444-4-4-4400-44-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ614-44-4-240024-2-42-4-2002-22000000000000i6−i600i6−i6i6−i600000000−2i22i20023−2300000000000000000000i2−i200000000
χ624-44-4-240024-2-42-4-2002-22000000000000i6−i600i6−i6i6−i6000000002i2−2i200−232300000000000000000000−i2i200000000
χ634-44-4-240024-2-42-4-2002-22000000000000−i6i600−i6i6−i6i600000000−2i22i200−232300000000000000000000i2−i200000000
χ644-44-4-240024-2-42-4-2002-22000000000000−i6i600−i6i6−i6i6000000002i2−2i20023−2300000000000000000000−i2i200000000
χ654-4-444-24-4-42-424-2-20022-2-424-2000000-22000000000004-400000000000000000000000000-2200000000000
χ664-4-444-24-4-42-424-2-20022-2-424-2000000-2200000000000-44000000000000000000000000002-200000000000
χ674-4-444-2-44-42-424-2-24-422-24-2-42004-4-222-200000000000000000000000000-22000000000000000000000000
χ684-4-444-2-44-42-424-2-2-4422-24-2-4200-442-22-2000000000000000000000000002-2000000000000000000000000
χ694-4-44-244-42-42-4-24-20022-22-4-24000000-22000000004-400000000000000000000000000-2200000000000000
χ704-4-44-244-42-42-4-24-20022-22-4-24000000-2200000000-44000000000000000000000000002-200000000000000
χ714-4-44-24-442-42-4-24-24-422-2-242-400-224-42-200000000000000000000000000-22000000000000000000000000
χ724-4-44-24-442-42-4-24-2-4422-2-242-4002-2-442-2000000000000000000000000002-2000000000000000000000000
χ734-4-44-2-2-442222-2-214-4-1-11-2-22200-22-22-1100003-3-330000000000000000001-13-30000000000000000000000
χ744-4-44-2-2-442222-2-214-4-1-11-2-22200-22-22-110000-333-30000000000000000001-1-330000000000000000000000
χ754-4-44-2-2-442222-2-21-44-1-11-2-222002-22-2-1100003-3-33000000000000000000-11-330000000000000000000000
χ764-4-44-2-2-442222-2-21-44-1-11-2-222002-22-2-110000-333-3000000000000000000-113-30000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-8484-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-2000000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4442002-2-200000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000000
χ818-88-88-400-8-484-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-4444200-22-20000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-4444200-22-2000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-4200-2-2244-4-40000002-20000000000000000000000000000000000000000000000000000

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