Finite Group Databasebeta

← Group #11864642

Character table — Group #11864642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666663446661212121248121212121212242424242424242422222244888812121212121212121212224424666666242424242261248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-11-111-1-111-1-1111111-1-1-1-11-1-1-1-111111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1111-11-1-111-1-111111111-1-1-1-1-11111-1-1-1-1-111-1-1-11-1-1
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
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-1-1111-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-11111-1-111-111-11111-1-1-1-11-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-11-1-1111-111-1-111-11-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-11111-1-1-1-1-1-11-111-1-1-11-1-111111-1-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1111-1
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
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111111-11-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-1111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-111-111-1
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
χ18222222-2-2222222200222-2-2-2-2000000-2-20000000000200-2-220000-2-22200000022-2-20000-20020000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-20022-2000022-2-200000022-2-20000200-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-200-22200002222000000-2-2220000-200-20000000000
χ2122222-1222-12-1-12-122-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1222000202200-1-1002-1-1-1-1-1000020000-1-1-1-1-10000-1000
χ2222222-1222-12-1-12-122-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-2-2-2000-20-2-20011002-1-1-1-1-10000-200001111100001000
χ2322222-1222-12-1-12-122-1-1-1-12-12-2-2-1-122-1-1-2-211111122200020-2-200-1-100-2111-1-10000-20000-1-1-11100001000
χ2422222-1222-12-1-12-122-1-1-1-12-12-2-2-1-122-1-1-2-2111111-2-2-2000-2022001100-2111-1-1000020000111-1-10000-1000
χ2522222-1222-12-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-2-211111122-2000-20220011002-1-1-1110000-20000-1-11-1-100001000
χ2622222-1222-12-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-2-2111111-2-2200020-2-200-1-1002-1-1-11100002000011-1110000-1000
χ2722222-1222-12-1-12-1-2-2-1-1-1-12-12-2211-2-2-1-122-1-1-1-1-1-122-2000-20-2-2001100-211111000020000-1-11110000-1000
χ2822222-1222-12-1-12-1-2-2-1-1-1-12-12-2211-2-2-1-122-1-1-1-1-1-1-2-22000202200-1-100-2111110000-2000011-1-1-100001000
χ292222-1222-12-122-1-122-1-1-12-12-12222-1-1-1-1-1-122-1-1-1-100022202002200-1-1-12-1-1-1-1000002-1-1-100000-1-1000-100
χ302222-1222-12-122-1-122-1-1-12-12-12222-1-1-1-1-1-122-1-1-1-1000-2-2-20-200-2-20011-12-1-1-1-100000-21110000011000100
χ312222-1222-12-122-1-122-1-1-12-12-1-2-222-1-1-1-111-2-211110002220200-2-200-1-11-211-1-100000-2-1-1-10000011000100
χ322222-1222-12-122-1-122-1-1-12-12-1-2-222-1-1-1-111-2-21111000-2-2-20-2002200111-211-1-100000211100000-1-1000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-12-12-2-2-211-1-111-2-2111100022-20-200220011-12-1-11100000-2-1-1100000-1-1000100
χ342222-1222-12-122-1-1-2-2-1-1-12-12-12-2-2-211-1-111-2-21111000-2-220200-2-200-1-1-12-1-11100000211-10000011000-100
χ352222-1222-12-122-1-1-2-2-1-1-12-12-1-22-2-211-1-1-1-122-1-1-1-100022-20-200-2-200111-21111000002-1-110000011000-100
χ362222-1222-12-122-1-1-2-2-1-1-12-12-1-22-2-211-1-1-1-122-1-1-1-1000-2-2202002200-1-11-2111100000-211-100000-1-1000100
χ372-2-22222-2-2-2-2-22222-2-2-22-2-222002-22-22-200000000000000000000000000002-22-22-20000000000002-20000
χ382-2-22222-2-2-2-2-22222-2-2-22-2-222002-22-22-200000000000000000000000000002-2-22-22000000000000-220000
χ392-2-22222-2-2-2-2-2222-22-2-22-2-22200-22-222-20000000000000000000000000000-222-22-2000000000000-220000
χ402-2-22222-2-2-2-2-2222-22-2-22-2-22200-22-222-20000000000000000000000000000-22-22-220000000000002-20000
χ412-2-2222-22-2-2-2-222200-2-2222-2-2000000-22000000002-202-2000000000000000002-2-22002-202-200000000000
χ422-2-2222-22-2-2-2-222200-2-2222-2-2000000-22000000002-20-2200000000000000000-222-200-2202-200000000000
χ432-2-2222-22-2-2-2-222200-2-2222-2-2000000-2200000000-2202-200000000000000000-222-2002-20-2200000000000
χ442-2-2222-22-2-2-2-222200-2-2222-2-2000000-2200000000-220-22000000000000000002-2-2200-220-2200000000000
χ4544444-2-4-44-24-2-24-200-2-2-22-42-40000002200000000004000-400000220000000000000000000-20000000000
χ4644444-2-4-44-24-2-24-200-2-2-22-42-4000000220000000000-4000400000-2-2000000000000000000020000000000
χ474444-24-4-4-24-244-2-200-2-2-2-42-4200000022000000000000040-40000002200000000000000-20000000000000
χ484444-24-4-4-24-244-2-200-2-2-2-42-42000000220000000000000-404000000-2-20000000000000020000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-4440044-4-4-4-44004-4-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ5444-4-4440044-4-4-4-44004-4-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ5544-4-44-2004-2-422-4-200-22200000000000000i6−i6i6i6−i6−i600000000−2i22i20023−2300000000000000000000i2−i200000000
χ5644-4-44-2004-2-422-4-200-22200000000000000i6−i6i6i6−i6−i6000000002i2−2i200−232300000000000000000000−i2i200000000
χ5744-4-44-2004-2-422-4-200-22200000000000000−i6i6−i6−i6i6i600000000−2i22i200−232300000000000000000000i2−i200000000
χ5844-4-44-2004-2-422-4-200-22200000000000000−i6i6−i6−i6i6i6000000002i2−2i20023−2300000000000000000000−i2i200000000
χ594-44-44400-4-444-4-4400-44-400000000000000000000000000000022−2200000000000000000000000022−22000000
χ604-44-44400-4-444-4-4400-44-4000000000000000000000000000000−2222000000000000000000000000−2222000000
χ614-44-4-24002-4-24-42-2002-220000000000006−6006−66−6000000000022−220023−2300000000000000000000−22000000
χ624-44-4-24002-4-24-42-2002-220000000000006−6006−66−60000000000−222200−2323000000000000000000002−2000000
χ634-44-4-24002-4-24-42-2002-22000000000000−6600−66−66000000000022−2200−232300000000000000000000−22000000
χ644-44-4-24002-4-24-42-2002-22000000000000−6600−66−660000000000−22220023−23000000000000000000002−2000000
χ654-4-444-24-4-42-42-24-24-422-22-4-2400-224-4-220000000000000000000000000000-220000000000000000000000
χ664-4-444-24-4-42-42-24-2-4422-22-4-24002-2-44-2200000000000000000000000000002-20000000000000000000000
χ674-4-444-2-44-42-42-24-20022-2-242-40000002-2000000004-400000000000000000000000000000-2200000000000
χ684-4-444-2-44-42-42-24-20022-2-242-40000002-200000000-44000000000000000000000000000002-200000000000
χ694-4-44-244-42-42-44-2-24-422-2-424-2004-4-22-220000000000000000000000000000-220000000000000000000000
χ704-4-44-244-42-42-44-2-2-4422-2-424-200-442-2-2200000000000000000000000000002-20000000000000000000000
χ714-4-44-24-442-42-44-2-20022-24-2-420000002-2000000000004-400000000000000000000000-2200000000000000
χ724-4-44-24-442-42-44-2-20022-24-2-420000002-200000000000-44000000000000000000000002-200000000000000
χ734-4-44-2-24-42222-2-214-4-1-1122-2-200-22-221-100003i−3i−3i3i0000000000000000003i−3i1-10000000000000000000000
χ744-4-44-2-24-42222-2-214-4-1-1122-2-200-22-221-10000−3i3i3i−3i000000000000000000−3i3i1-10000000000000000000000
χ754-4-44-2-24-42222-2-21-44-1-1122-2-2002-22-21-100003i−3i−3i3i000000000000000000−3i3i-110000000000000000000000
χ764-4-44-2-24-42222-2-21-44-1-1122-2-2002-22-21-10000−3i3i3i−3i0000000000000000003i−3i-110000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-2000000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444442002-2-200000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000000
χ818-88-88-400-848-44-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-444200-22-200000000000026−2600−66−6600000000000000000000000000000000000000000000
χ838-88-8-4-40044-4-444200-22-2000000000000−2626006−66−600000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4200-2-22-4-444000000-220000000000000000000000000000000000000000000000000000

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