Finite Group Databasebeta

← Group #11884131

Character table — Group #11884131

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666622366612121212224666681212121224242424242424242444466668812126612121224466812121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111111-11111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-11-1111-1111-1-1-1-1-1-111-1-1-11-1
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-1-11-1-111-11-1-111-1-111-1-111-1-11
χ5111111111111111111111111-1-11111111111111111111-111111-1-1111111111-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-1-1-1111-11
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-11-1-1-111111111-1-111-1
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-11-1-1-1-11-1-111-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-111-1-1-1111-1-1-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-11111-1-1111-1-1-11111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-111-1-1111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-111111111111-11-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-2000000002-2-200222200-2-200000000000-2000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-2200-2-222002200000000000-200000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-20022-2-200-2-200000000000200000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000-22200-2-2-2-20022000000000002000000002-200000
χ2122222-12222-1-1-1222-1-1-1-12-1-1222222-1-1222-1-1-1-122-1-1-1-10200000-1-10000-1-1-1-1-1220-1-12-10000-1-1000000-100
χ2222222-12222-1-1-1222-1-1-1-12-1-1222-222-1-1-2-2-2-1-111-2-211110200000-1-10000-1-11112-20-1-1-2-1000011000000100
χ2322222-12222-1-1-1222-1-1-1-12-1-12-2-2222-1-1222-1-1-1-122-1-1-1-10-200000110000-1-1-1-1-1-2-2011-21000011000000100
χ2422222-12222-1-1-1222-1-1-1-12-1-12-2-2-222-1-1-2-2-2-1-111-2-211110-200000110000-1-1111-22011210000-1-1000000-100
χ2522222-12222-1-1-12-2-2-1-1-1-12-1-12222-2-211-222-1-111-2-211110200000-1-1000011-1-1-1-22011-2-1000011000000-100
χ2622222-12222-1-1-12-2-2-1-1-1-12-1-1222-2-2-2112-2-2-1-1-1-122-1-1-1-10200000-1-1000011111-2-20112-10000-1-1000000100
χ2722222-12222-1-1-12-2-2-1-1-1-12-1-12-2-22-2-211-222-1-111-2-211110-20000011000011-1-1-12-20-1-1210000-1-1000000100
χ2822222-12222-1-1-12-2-2-1-1-1-12-1-12-2-2-2-2-2112-2-2-1-1-1-122-1-1-1-10-20000011000011111220-1-1-21000011000000-100
χ292222-1222-1-1222-122-1-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-120222-1-10022-1-1-1-12-1-10020000-1-1-1-100-1-10000000
χ302222-1222-1-1222-122-1-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-1-20-2-2-21100-2-211-1-12-1-100-20000111100110000000
χ312222-1222-1-1222-122-1-1-1-1-122-100-2-1-122-211-1-1-2-2111111202-2-2-1-100-2-2-1-1-1-1-2110020000-1-11100110000000
χ322222-1222-1-1222-122-1-1-1-1-122-100-2-1-122-211-1-1-2-2111111-20-22211002211-1-1-21100-2000011-1-100-1-10000000
χ332222-1222-1-1222-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-1-1-2-211111120222-1-100-2-2-1-1112-1-100-2000011-1-100110000000
χ342222-1222-1-1222-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-1-1-2-2111111-20-2-2-211002211112-1-10020000-1-11100-1-10000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-122-100-211-2-2211-1-122-1-1-1-1-1-1202-2-2-1-10022-1-111-21100-20000111100-1-10000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-122-100-211-2-2211-1-122-1-1-1-1-1-1-20-2221100-2-21111-2110020000-1-1-1-100110000000
χ372-2-2222-22-2-2-22-222-22-2-22-22-220002-22-2000-22000000000002-200002-2002-20000000000002-2002-20000000
χ382-2-2222-22-2-2-22-222-22-2-22-22-220002-22-2000-2200000000000-220000-22002-2000000000000-2200-220000000
χ392-2-2222-22-2-2-22-22-222-2-22-22-22000-22-22000-22000000000002-20000-2200-220000000000002-200-220000000
χ402-2-2222-22-2-2-22-22-222-2-22-22-22000-22-22000-2200000000000-2200002-200-22000000000000-22002-20000000
χ412-2-22-12-2211-22-2-12-2-111-112-2-1000-112-20−i3i31-100−i3i3−i3−i3i3i30002-2−i3i3002-2−i3i3-110−i3i30000000−i3i3-1100-110000000
χ422-2-22-12-2211-22-2-12-2-111-112-2-1000-112-20−i3i31-100−i3i3−i3−i3i3i3000-22i3−i300-22i3−i3-110−i3i30000000i3−i31-1001-10000000
χ432-2-22-12-2211-22-2-12-2-111-112-2-1000-112-20i3−i31-100i3−i3i3i3−i3−i30002-2i3−i3002-2i3−i3-110i3−i30000000i3−i3-1100-110000000
χ442-2-22-12-2211-22-2-12-2-111-112-2-1000-112-20i3−i31-100i3−i3i3i3−i3−i3000-22−i3i300-22−i3i3-110i3−i30000000−i3i31-1001-10000000
χ452-2-22-12-2211-22-2-1-22-111-112-2-10001-1-220−i3i31-100i3−i3i3i3−i3−i30002-2−i3i300-22−i3i31-10−i3i30000000i3−i3-11001-10000000
χ462-2-22-12-2211-22-2-1-22-111-112-2-10001-1-220−i3i31-100i3−i3i3i3−i3−i3000-22i3−i3002-2i3−i31-10−i3i30000000−i3i31-100-110000000
χ472-2-22-12-2211-22-2-1-22-111-112-2-10001-1-220i3−i31-100−i3i3−i3−i3i3i30002-2i3−i300-22i3−i31-10i3−i30000000−i3i3-11001-10000000
χ482-2-22-12-2211-22-2-1-22-111-112-2-10001-1-220i3−i31-100−i3i3−i3−i3i3i3000-22−i3i3002-2−i3i31-10i3−i30000000i3−i31-100-110000000
χ4944444-2-4-444-2-2-2400-2-2-2-2-422-4440000000022000000000-400000-2-20000000000000002000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-2-422-4-4-4000000002200000000040000022000000000000000-2000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-22-4-420000000000220000000040-400-2-2000022000000000000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-22-4-4200000000002200000000-40400220000-2-2000000000000000000000000000
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
χ5744-4-444004-44-4-4-40044-4-400004-400000000000000000000000004-40000000000000000000000000000000
χ5844-4-444004-44-4-4-40044-4-40000-440000000000000000000000000-440000000000000000000000000000000
χ5944-4-44-2004-4-222-400-2-22200004-400000000006−6006−66−60000000-22000000000000000000006−6000000000
χ6044-4-44-2004-4-222-400-2-22200004-40000000000−6600−66−660000000-2200000000000000000000−66000000000
χ6144-4-44-2004-4-222-400-2-2220000-4400000000006−6006−66−600000002-200000000000000000000−66000000000
χ6244-4-44-2004-4-222-400-2-2220000-440000000000−6600−66−6600000002-2000000000000000000006−6000000000
χ634-44-44400-44-4-44-4004-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-44400-44-4-44-4004-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-44444-4-4-4-44-44004-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-42-22400-222-242-2-40000000000-2200000000000000000000000000000−2i32i300000000000000000
χ674-4-444-24-4-4-42-22400-222-242-2-40000000000-22000000000000000000000000000002i3−2i300000000000000000
χ684-4-444-2-44-4-42-2244-4-222-2-4-2240004-4-220002-2000000000000000000000-220000000000000000000000000
χ694-4-444-2-44-4-42-224-44-222-2-4-224000-442-20002-20000000000000000000002-20000000000000000000000000
χ704-4-44-244-422-44-4-200-222-2-2-4420000000000-220000000000000−2i32i300002i3−2i3000000000000000000000000000
χ714-4-44-244-422-44-4-200-222-2-2-4420000000000-2200000000000002i3−2i30000−2i32i3000000000000000000000000000
χ724-4-44-2-2-44222-22-24-41-1-112-22-2000-22-220−2i32i3-1100−2i32i3i3i3−i3−i300000000000001-10i3−i30000000000000000000000
χ734-4-44-2-2-44222-22-24-41-1-112-22-2000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i300000000000001-10−i3i30000000000000000000000
χ744-4-44-2-2-44222-22-2-441-1-112-22-20002-22-20−2i32i3-11002i3−2i3−i3−i3i3i30000000000000-110i3−i30000000000000000000000
χ754-4-44-2-2-44222-22-2-441-1-112-22-20002-22-202i3−2i3-1100−2i32i3i3i3−i3−i30000000000000-110−i3i30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4800-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44440022-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-88-400-8844-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-8-88400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44002-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44002-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-4002-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000

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