Finite Group Databasebeta

← Group #11863939

Character table — Group #11863939

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666662236661212121222224446666812121212242424242424242422224666612126612121222246666668812242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-11111-1-1-1-11-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111111-1-11-1-1-111111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-11-111-1-1-1-1-1111
χ5111111111111111111111111-1-111-1-1111111111111111111-1-111111-1-1-1-111111-1-1-1111-1-1-1-1-11111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-11-111-1-1111-11-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-111-1-11-1-1-1-1-1-1111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-11
χ1111111111111111-1-11111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111-1-11-111-1-111-11-111-1-111-1-1-11
χ1211111111111111-1-11111111111-1-111-1-1-1-1-11-1-11111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-111-1
χ1311111111111111-1-111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1111-1-1-11-1-111-1-11-11-1-11111-11-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-1-1-11-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-11111-1-111-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-11111-1-111-11111-1-11-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-22222-2-200000000-2-2000000000000-22222-2-200000220000000000-2000000-2000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-20000000000002-2-222-2-200000-2-2000000000020000002000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-2000000000000-222-2-22200000-2-20000000000-20000002000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-2-2-222000002200000000002000000-2000
χ2122222-1222-1-122-122-1-1-1-1-122-1220022222-1-12-1-1-1-122-1-1-1-1-1-12200000-1-1-1-1-1-12-1-1002000-1-1-1-120000-1-1000000
χ2222222-1222-1-122-122-1-1-1-1-122-1220022-222-1-1-211-1-1-2-21111112200000-1-1-1-1-1-1-21100-2000-1-111-2000011000000
χ2322222-1222-1-122-122-1-1-1-1-122-1-2-200-2-2222-1-12-1-1-1-122-1-1-1-1-1-1-2-2000001111-1-12-1-100-20001111-2000011000000
χ2422222-1222-1-122-122-1-1-1-1-122-1-2-200-2-2-222-1-1-211-1-1-2-2111111-2-2000001111-1-1-21100200011-1-120000-1-1000000
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-12200222-2-211-2-1-1-1-1-2-2111111-2-200000-1-1-1-1112-1-100200011-1-1-2000011000000
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-1220022-2-2-211211-1-122-1-1-1-1-1-1-2-200000-1-1-1-111-21100-2000111120000-1-1000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-1-2-200-2-22-2-211-2-1-1-1-1-2-211111122000001111112-1-100-2000-1-11120000-1-1000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-1-2-200-2-2-2-2-211211-1-122-1-1-1-1-1-12200000111111-211002000-1-1-1-1-2000011000000
χ292222-1222-122-1-1222-1-1-1-12-1-120022002-1-122222-1-1-1-122-1-1-1-100222-1-10000-1-1-1-1-10002-1-1000002-1-1-100000-100
χ302222-1222-122-1-1222-1-1-1-12-1-12002200-2-1-122-2-2-2-1-111-2-2111100222-1-10000-1-1111000-2-1-100000-2-11100000100
χ312222-1222-122-1-1222-1-1-1-12-1-1200-2-2002-1-122222-1-1-1-122-1-1-1-100-2-2-2110000-1-1-1-1-1000-21100000-211100000100
χ322222-1222-122-1-1222-1-1-1-12-1-1200-2-200-2-1-122-2-2-2-1-111-2-2111100-2-2-2110000-1-11110002110000021-1-100000-100
χ332222-1222-122-1-12-2-2-1-1-1-12-1-12002200211-2-2-222-1-111-2-2111100-2-22-1-1000011-1-1-100021100000-2-11100000-100
χ342222-1222-122-1-12-2-2-1-1-1-12-1-12002200-211-2-22-2-2-1-1-1-122-1-1-1-100-2-22-1-1000011111000-211000002-1-1-100000100
χ352222-1222-122-1-12-2-2-1-1-1-12-1-1200-2-200211-2-2-222-1-111-2-211110022-211000011-1-1-1000-2-1-10000021-1-100000100
χ362222-1222-122-1-12-2-2-1-1-1-12-1-1200-2-200-211-2-22-2-2-1-1-1-122-1-1-1-10022-2110000111110002-1-100000-211100000-100
χ372-22-2222-2-2-2-22-222-22-2-22-22-222-2002-202-22-2000-22000000002-2000002-22-22-20000000002-2000000000000000
χ382-22-2222-2-2-2-22-222-22-2-22-22-22-2200-2202-22-2000-2200000000-2200000-22-222-2000000000-22000000000000000
χ392-22-2222-2-2-2-22-22-222-2-22-22-222-2002-20-22-22000-2200000000-22000002-22-2-22000000000-22000000000000000
χ402-22-2222-2-2-2-22-22-222-2-22-22-22-2200-220-22-22000-22000000002-200000-22-22-220000000002-2000000000000000
χ412-22-222-22-2-2-22-22002-2-222-22-22-200-22000000002-200000000002-20002-2-220000000002-2000000000002-20000
χ422-22-222-22-2-2-22-22002-2-222-22-22-200-22000000002-20000000000-220002-2-22000000000-2200000000000-220000
χ432-22-222-22-2-2-22-22002-2-222-22-2-22002-2000000002-200000000002-2000-222-20000000002-200000000000-220000
χ442-22-222-22-2-2-22-22002-2-222-22-2-22002-2000000002-20000000000-22000-222-2000000000-22000000000002-20000
χ452-22-22-12-2-2112-2-12-2-111-112-2-12-2002-202-2-110−i3i31-100−i3i3−i3−i3i3i32-200000-11-11-110−i3i3000000-11−i3i300000−i3i3000000
χ462-22-22-12-2-2112-2-12-2-111-112-2-12-2002-202-2-110i3−i31-100i3−i3i3i3−i3−i32-200000-11-11-110i3−i3000000-11i3−i300000i3−i3000000
χ472-22-22-12-2-2112-2-12-2-111-112-2-1-2200-2202-2-110−i3i31-100−i3i3−i3−i3i3i3-22000001-11-1-110−i3i30000001-1i3−i300000i3−i3000000
χ482-22-22-12-2-2112-2-12-2-111-112-2-1-2200-2202-2-110i3−i31-100i3−i3i3i3−i3−i3-22000001-11-1-110i3−i30000001-1−i3i300000−i3i3000000
χ492-22-22-12-2-2112-2-1-22-111-112-2-12-2002-20-221-10−i3i31-100i3−i3i3i3−i3−i3-2200000-11-111-10−i3i30000001-1−i3i300000i3−i3000000
χ502-22-22-12-2-2112-2-1-22-111-112-2-12-2002-20-221-10i3−i31-100−i3i3−i3−i3i3i3-2200000-11-111-10i3−i30000001-1i3−i300000−i3i3000000
χ512-22-22-12-2-2112-2-1-22-111-112-2-1-2200-220-221-10−i3i31-100i3−i3i3i3−i3−i32-2000001-11-11-10−i3i3000000-11i3−i300000−i3i3000000
χ522-22-22-12-2-2112-2-1-22-111-112-2-1-2200-220-221-10i3−i31-100−i3i3−i3−i3i3i32-2000001-11-11-10i3−i3000000-11−i3i300000i3−i3000000
χ5344444-2-4-44-2-244-200-2-2-2-22-4-424400-4-40000000022000000000000000-2-2220000000000000000000000000000
χ5444444-2-4-44-2-244-200-2-2-2-22-4-42-4-40044000000002200000000000000022-2-20000000000000000000000000000
χ554444-24-4-4-244-2-2400-2-2-2-2-422-40044000000000022000000000000-4-2-200000000000000000000020000000000
χ564444-24-4-4-244-2-2400-2-2-2-2-422-400-4-4000000000022000000000000422000000000000000000000-20000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-44400-44-4-44-40044-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ6244-4-44400-44-4-44-40044-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ634-44-44-2-44-4224-4-200-222-2-2-4424-400-4400000000-22000000000000000-222-20000000000000000000000000000
χ644-44-44-2-44-4224-4-200-222-2-2-442-44004-400000000-220000000000000002-2-220000000000000000000000000000
χ654-44-4-244-42-4-4-2244-4-222-2-4-2240000000-224-40002-20000000000000000000-2200000000000000000000000000
χ664-44-4-244-42-4-4-224-44-222-2-4-22400000002-2-440002-200000000000000000002-200000000000000000000000000
χ674-44-4-24-442-4-4-22400-222-242-2-400000000000000-2200000000004-40000000000000000-2200000000000000000
χ684-44-4-24-442-4-4-22400-222-242-2-400000000000000-220000000000-4400000000000000002-200000000000000000
χ694-44-4-2-24-4222-22-24-41-1-112-22-20000000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000001-10i3−i300000000000000000000000
χ704-44-4-2-24-4222-22-24-41-1-112-22-20000000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000001-10−i3i300000000000000000000000
χ714-44-4-2-24-4222-22-2-441-1-112-22-200000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000-110i3−i300000000000000000000000
χ724-44-4-2-24-4222-22-2-441-1-112-22-200000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000-110−i3i300000000000000000000000
χ734-4-4444004-44-4-4-4004-44-40000004-400000000000000000000000004-400000000000000000000000000000000
χ744-4-4444004-44-4-4-4004-44-4000000-440000000000000000000000000-4400000000000000000000000000000000
χ754-4-44-2400-2-4422-400-22-220000004-40000000000006−6006−66−600000-2200000000000000000000006−600000000
χ764-4-44-2400-2-4422-400-22-220000004-4000000000000−6600−66−6600000-220000000000000000000000−6600000000
χ774-4-44-2400-2-4422-400-22-22000000-440000000000006−6006−66−6000002-20000000000000000000000−6600000000
χ784-4-44-2400-2-4422-400-22-22000000-44000000000000−6600−66−66000002-200000000000000000000006−600000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400-8-44-88400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480048-84-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-440022-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-4004-444-440022-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-8-4-4-88444-44-4002-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000
χ858-8-888-40084-4-8-8400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-4444002-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ878-8-88-4-400-44-4444002-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000

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