Finite Group Databasebeta

← Group #11864382

Character table — Group #11864382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666223666121212124666681212242424242424242422222244666688886612121212224444666612122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-11-111-1-111-1-1111111-1-1-1-11-111-1-11-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1111-11-1-111-1-111111111-1-1-1-1-11-1-111-11-1-111-1-1-11-1-1
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
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-111-1111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-111111111-1-11111-1-11111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-111-1-11111-1-1-1-11-1-1-1111-1-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-1111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-11-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002002-2-222220000000000-2-222000000-2-20000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-20000000000200-2-2222-2-2000000000022-2-2000000-220000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-20022-2-2-222000000000022-2-20000002-20000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-200-222-2-2-2-20000000000-2-222000000220000000000
χ2122222-1222-122-1-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-10002220200-1-10022-1-12-1-1-100000200-1-10-100-1-1000-100
χ2222222-1222-122-1-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-1000-2-2-20-2001100-2-2-1-12-1-1-100000-20011010011000100
χ2322222-1222-122-1-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110002220200-1-100-2-2-1-1-211100000-200-1-10-10011000100
χ2422222-1222-122-1-122-1-1-1-12-12-1-222-1-1-2-1-1-2-2111111000-2-2-20-200110022-1-1-211100000200110100-1-1000-100
χ2522222-1222-122-1-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-211111100022-20-200110022112-1-1-100000-200-1-10100-1-1000100
χ2622222-1222-122-1-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-2111111000-2-220200-1-100-2-2112-1-1-100000200110-10011000-100
χ2722222-1222-122-1-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-100022-20-2001100-2-211-211100000200-1-1010011000-100
χ2822222-1222-122-1-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-1000-2-220200-1-1002211-211100000-200110-100-1-1000100
χ292222-1222-12-1-12222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-122200020-1-1002200-1-1-12-1-1000020-1-100-10-1-10000-1000
χ302222-1222-12-1-12222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1-2-2-2000-201100-2-200-1-1-12-1-10000-201100101100001000
χ312222-1222-12-1-12222-1-1-1-1-12-12-2-1-122-2-1-111-2-2111122200020-1-100-2-200-1-11-2110000-20-1-100-101100001000
χ322222-1222-12-1-12222-1-1-1-1-12-12-2-1-122-2-1-111-2-21111-2-2-2000-2011002200-1-11-211000020110010-1-10000-1000
χ332222-1222-12-1-122-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-2111122-2000-201100220011-12-1-10000-20-1-10010-1-100001000
χ342222-1222-12-1-122-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111-2-2200020-1-100-2-20011-12-1-10000201100-10110000-1000
χ352222-1222-12-1-122-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-122-2000-201100-2-200111-211000020-1-10010110000-1000
χ362222-1222-12-1-122-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1-2-2200020-1-1002200111-2110000-201100-10-1-100001000
χ372-2-22222-2-2-22-22-2002-2-22-2-2220000002-2000000002-202-2000000000000000002-22-2002-22-2000000000000
χ382-2-22222-2-2-22-22-2002-2-22-2-2220000002-2000000002-20-2200000000000000000-22-22002-2-22000000000000
χ392-2-22222-2-2-22-22-2002-2-22-2-2220000002-200000000-2202-200000000000000000-22-2200-222-2000000000000
χ402-2-22222-2-2-22-22-2002-2-22-2-2220000002-200000000-220-22000000000000000002-22-200-22-22000000000000
χ412-2-2222-22-2-22-22-22-22-2-2222-2-202-22-20-220000000000000000000000002-200002-2-220000000000002-20000
χ422-2-2222-22-2-22-22-22-22-2-2222-2-202-22-20-220000000000000000000000002-20000-222-2000000000000-220000
χ432-2-2222-22-2-22-22-2-222-2-2222-2-20-22-220-22000000000000000000000000-2200002-2-22000000000000-220000
χ442-2-2222-22-2-22-22-2-222-2-2222-2-20-22-220-22000000000000000000000000-220000-222-20000000000002-20000
χ4544444-2-4-44-244-2-200-2-2-2-2-42-4200000022000000000000040-400-2-200000000000000000000020000000000
χ4644444-2-4-44-244-2-200-2-2-2-2-42-42000000220000000000000-4040022000000000000000000000-20000000000
χ474444-24-4-4-24-2-24400-2-2-2-22-42-40000002200000000004000-40-2-20000000000000000000000200000000000
χ484444-24-4-4-24-2-24400-2-2-2-22-42-4000000220000000000-400040220000000000000000000000-200000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-21111000000000000000011-2-2110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000001122-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-1-1-2-2110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-211110000000000000000-1-122-1-10000000000000000000000
χ5344-4-444004-4-4-4-440044-4-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ5444-4-444004-4-4-4-440044-4-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ5544-4-4-2400-2-422-4400-2-2220000000000006−60066−6−600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ5644-4-4-2400-2-422-4400-2-2220000000000006−60066−6−6000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ5744-4-4-2400-2-422-4400-2-222000000000000−6600−6−66600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ5844-4-4-2400-2-422-4400-2-222000000000000−6600−6−666000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ594-44-44400-44-44-4-4004-44-40000000000000000000000000000000000−2i22i200000000000000000000−2i22i2000000
χ604-44-44400-44-44-4-4004-44-400000000000000000000000000000000002i2−2i2000000000000000000002i2−2i2000000
χ614-44-44-200-4-2-442200-22-22000000000000006−66−66−60000000000−2i32i300−2i22i200000000000000000000i2−i2000000
χ624-44-44-200-4-2-442200-22-22000000000000006−66−66−600000000002i3−2i3002i2−2i200000000000000000000−i2i2000000
χ634-44-44-200-4-2-442200-22-2200000000000000−66−66−660000000000−2i32i3002i2−2i200000000000000000000−i2i2000000
χ644-44-44-200-4-2-442200-22-2200000000000000−66−66−6600000000002i3−2i300−2i22i200000000000000000000i2−i2000000
χ654-4-444-24-4-424-4-2200-222-2-424-2000000-22000000000004-40000000000000000000000000-22000000000000
χ664-4-444-24-4-424-4-2200-222-2-424-2000000-2200000000000-4400000000000000000000000002-2000000000000
χ674-4-444-2-44-424-4-224-4-222-24-2-4204-4-2202-2000000000000000000000000-2200000000000000000000000000
χ684-4-444-2-44-424-4-22-44-222-24-2-420-442-202-20000000000000000000000002-200000000000000000000000000
χ694-4-44-244-42-4-224-400-222-22-4-24000000-22000000004-400000000000000000000000000-2200000000000000
χ704-4-44-244-42-4-224-400-222-22-4-24000000-2200000000-44000000000000000000000000002-200000000000000
χ714-4-44-24-442-4-224-44-4-222-2-242-40-224-402-2000000000000000000000000-2200000000000000000000000000
χ724-4-44-24-442-4-224-4-44-222-2-242-402-2-4402-20000000000000000000000002-200000000000000000000000000
χ734-4-44-2-2-4422-22-224-41-1-11-2-2220-22-220-1100003-3-3300000000000000001-1003-30000000000000000000000
χ744-4-44-2-2-4422-22-224-41-1-11-2-2220-22-220-110000-333-300000000000000001-100-330000000000000000000000
χ754-4-44-2-2-4422-22-22-441-1-11-2-22202-22-20-1100003-3-330000000000000000-1100-330000000000000000000000
χ764-4-44-2-2-4422-22-22-441-1-11-2-22202-22-20-110000-333-30000000000000000-11003-30000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-40084-8-84-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-40022-2-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-40022-2-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-4800484-4-8-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444002-22-20000000000000026−26−66−6600000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444002-22-200000000000000−26266−66−600000000000000000000000000000000000000000000
χ848-8-88-4-48-844-44-44002-2-2244-4-40000002-20000000000000000000000000000000000000000000000000000

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