Finite Group Databasebeta

← Group #11889232

Character table — Group #11889232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666662236661212121244466668121212122424242424242424244448812121212121266121212444681212121212122424242424881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111-1111111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-1-11-11-11111-1-1-1-111-1-111-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-111-11-111-1-111-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-1111111111111111111-111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111111-1-111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-11-11-1-1-1-11111-1-1-1-1111-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-1111-1-111-1-1-111-1-1-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-111-1-1-1-1-111-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11-1-111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-111111-1-111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-111111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-2002-200-2-2222200000000-2000000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-200-22002222-2-200000000-200000000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002002-200-2-2-2-22200000000200000000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000200-220022-2-2-2-2000000002000000000002-200000
χ2122222-122-122-1-1222-1-1-1-12-12-122222-1-1222-1-122-1-1-1-1-1-1200000000-1-100-1-1-1-1-1022-12-1-10000-1-1000000-100
χ2222222-122-122-1-1222-1-1-1-12-12-122-222-1-1-2-2-2-1-1-2-2111111200000000-1-100-1-111102-2-1-2-1-1000011000000100
χ2322222-122-122-1-1222-1-1-1-12-12-1-2-2222-1-1222-1-122-1-1-1-1-1-1-2000000001100-1-1-1-1-10-2-21-211000011000000100
χ2422222-122-122-1-1222-1-1-1-12-12-1-2-2-222-1-1-2-2-2-1-1-2-2111111-2000000001100-1-11110-2212110000-1-1000000-100
χ2522222-122-122-1-12-2-2-1-1-1-12-12-1222-2-211-222-1-1-2-2111111200000000-1-10011-1-1-10-22-1-211000011000000-100
χ2622222-122-122-1-12-2-2-1-1-1-12-12-122-2-2-2112-2-2-1-122-1-1-1-1-1-1200000000-1-100111110-2-2-12110000-1-1000000100
χ2722222-122-122-1-12-2-2-1-1-1-12-12-1-2-22-2-211-222-1-1-2-2111111-200000000110011-1-1-102-212-1-10000-1-1000000100
χ2822222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-2-2-2112-2-2-1-122-1-1-1-1-1-1-2000000001100111110221-2-1-1000011000000-100
χ292222-12222-1-122-122-1-1-1-1-12-12002-1-1222-1-1-1-1-1-122-1-1-1-10222222-1-100-1-1-1-12-1-12000000-1-1-1-100-1-10000000
χ302222-12222-1-122-122-1-1-1-1-12-12002-1-1222-1-1-1-1-1-122-1-1-1-10-2-2-2-2-2-2110011-1-12-1-1-2000000111100110000000
χ312222-12222-1-122-122-1-1-1-1-12-1200-2-1-122-211-1-111-2-21111022-2-222110011-1-1-211-2000000-1-11100-1-10000000
χ322222-12222-1-122-122-1-1-1-1-12-1200-2-1-122-211-1-111-2-211110-2-222-2-2-1-100-1-1-1-1-211200000011-1-100110000000
χ332222-12222-1-122-1-2-2-1-1-1-1-12-1200211-2-2-2-1-1-1-111-2-2111102222-2-2-1-100-1-1112-1-1-2000000-1-11100110000000
χ342222-12222-1-122-1-2-2-1-1-1-1-12-1200211-2-2-2-1-1-1-111-2-211110-2-2-2-222110011112-1-1200000011-1-100-1-10000000
χ352222-12222-1-122-1-2-2-1-1-1-1-12-1200-211-2-2211-1-1-1-122-1-1-1-1022-2-2-2-211001111-2112000000-1-1-1-100110000000
χ362222-12222-1-122-1-2-2-1-1-1-1-12-1200-211-2-2211-1-1-1-122-1-1-1-10-2-22222-1-100-1-111-211-2000000111100-1-10000000
χ372-22-2222-2-22-2-22-22-22-2-2222-2-20002-22-2000-220000000002i−2i002i−2i0000002-200000000002i−2i00002i−2i0000000
χ382-22-2222-2-22-2-22-22-22-2-2222-2-20002-22-2000-22000000000−2i2i00−2i2i0000002-20000000000−2i2i0000−2i2i0000000
χ392-22-2222-2-22-2-22-2-222-2-2222-2-2000-22-22000-220000000002i−2i00−2i2i000000-2200000000002i−2i0000−2i2i0000000
χ402-22-2222-2-22-2-22-2-222-2-2222-2-2000-22-22000-22000000000−2i2i002i−2i000000-220000000000−2i2i00002i−2i0000000
χ412-22-2-122-2-2-11-2212-2-111-1-121-2000-112-20−i3i31-1−i3i300−i3−i3i3i302i−2i002i−2i3−3003−3-110−i3i30000000−ii3−300−ii0000000
χ422-22-2-122-2-2-11-2212-2-111-1-121-2000-112-20−i3i31-1−i3i300−i3−i3i3i30−2i2i00−2i2i−3300−33-110−i3i30000000i−i−3300i−i0000000
χ432-22-2-122-2-2-11-2212-2-111-1-121-2000-112-20i3−i31-1i3−i300i3i3−i3−i302i−2i002i−2i−3300−33-110i3−i30000000−ii−3300−ii0000000
χ442-22-2-122-2-2-11-2212-2-111-1-121-2000-112-20i3−i31-1i3−i300i3i3−i3−i30−2i2i00−2i2i3−3003−3-110i3−i30000000i−i3−300i−i0000000
χ452-22-2-122-2-2-11-221-22-111-1-121-20001-1-220−i3i31-1i3−i300i3i3−i3−i302i−2i00−2i2i3−3003−31-10−i3i30000000−ii−3300i−i0000000
χ462-22-2-122-2-2-11-221-22-111-1-121-20001-1-220−i3i31-1i3−i300i3i3−i3−i30−2i2i002i−2i−3300−331-10−i3i30000000i−i3−300−ii0000000
χ472-22-2-122-2-2-11-221-22-111-1-121-20001-1-220i3−i31-1−i3i300−i3−i3i3i302i−2i00−2i2i−3300−331-10i3−i30000000−ii3−300i−i0000000
χ482-22-2-122-2-2-11-221-22-111-1-121-20001-1-220i3−i31-1−i3i300−i3−i3i3i30−2i2i002i−2i3−3003−31-10i3−i30000000i−i−3300−ii0000000
χ4944444-2-4-4-244-2-2400-2-2-2-2-42-4244000000002200000000-400000000-2-200000000002000000000000000000
χ5044444-2-4-4-244-2-2400-2-2-2-2-42-42-4-4000000002200000000400000000220000000000-2000000000000000000
χ514444-24-4-44-2-244-200-2-2-2-22-42-4000000000022000000000004-4002200-2-2000000000000000000000000000
χ524444-24-4-44-2-244-200-2-2-2-22-42-400000000002200000000000-4400-2-20022000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-24-2-211-2-2-2-21111000000000000011-2110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-422112222-1-1-1-10000000000000112-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4-2-2112222-1-1-1-10000000000000-1-1-2110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222242211-2-2-2-211110000000000000-1-12-1-10000000000000000000000
χ5744-4-444004-4-4-4-440044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-444004-4-4-4-440044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-444-44-44-4-44-4004-4-44-4-44400000000004-4000000000000000000000000000000000000000000000000
χ604-44-44-24-424-42-2-44-4-222-24-2-420004-4-220002-2000000000000000000000-220000000000000000000000000
χ614-44-44-24-424-42-2-4-44-222-24-2-42000-442-20002-20000000000000000000002-20000000000000000000000000
χ624-44-44-2-4424-42-2-400-222-2-424-20000000000-220000000000000000000000000000000−2i32i3000000000000000
χ634-44-44-2-4424-42-2-400-222-2-424-20000000000-2200000000000000000000000000000002i3−2i3000000000000000
χ644-44-4-24-44-4-22-44200-222-22-4-240000000000-2200000000000000023−2300−2323000000000000000000000000000
χ654-44-4-24-44-4-22-44200-222-22-4-240000000000-22000000000000000−23230023−23000000000000000000000000000
χ664-44-4-2-24-42-222-224-41-1-11-2-222000-22-220−2i32i3-11−2i32i300i3i3−i3−i300000000000001-10i3−i30000000000000000000000
χ674-44-4-2-24-42-222-224-41-1-11-2-222000-22-2202i3−2i3-112i3−2i300−i3−i3i3i300000000000001-10−i3i30000000000000000000000
χ684-44-4-2-24-42-222-22-441-1-11-2-2220002-22-20−2i32i3-112i3−2i300−i3−i3i3i30000000000000-110i3−i30000000000000000000000
χ694-44-4-2-24-42-222-22-441-1-11-2-2220002-22-202i3−2i3-11−2i32i300i3i3−i3−i30000000000000-110−i3i30000000000000000000000
χ704-4-444400-4-444-4-4004-44-400004i−4i0000000000000000000000000004i−4i00000000000000000000000000000
χ714-4-444400-4-444-4-4004-44-40000−4i4i000000000000000000000000000−4i4i00000000000000000000000000000
χ724-4-444-2002-44-22-400-22-2200004i−4i0000000000006−66−66−6000000000−2i2i000000000000000000i6−i6000000000
χ734-4-444-2002-44-22-400-22-2200004i−4i000000000000−66−66−66000000000−2i2i000000000000000000−i6i6000000000
χ744-4-444-2002-44-22-400-22-220000−4i4i0000000000006−66−66−60000000002i−2i000000000000000000−i6i6000000000
χ754-4-444-2002-44-22-400-22-220000−4i4i000000000000−66−66−660000000002i−2i000000000000000000i6−i6000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-8-844800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800844-8-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-40022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-40022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-88-8-4-4-884-444-44002-2-2244-4-400000000002-2000000000000000000000000000000000000000000000000
χ828-8-88-4800-84-48-8400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-4-444002-22-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ848-8-88-4-40044-4-444002-22-2000000000000000000−26266−66−60000000000000000000000000000000000000000

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