Finite Group Databasebeta

← Group #11864635

Character table — Group #11864635

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121222444666681212121224242424242424242222246666881212661212122466666681224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-111111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-111111-1111-1-1-1-1-1111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-111-1-11111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1111-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-111-1-111-1-111-1-1-111-111-1-1
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111-1-1-1-111-11-1-1-1-11-1-11-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-11-1-1-111-111-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-11-111111-1-11-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-111-111-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-11-1-1-11111-1111-1-1-111-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000002-2222200-2-200000000000000-20000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-2000000000000-22-2-22200-2-20000000000000020000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000002-222-2-2002200000000000000-20000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-2000000000000-22-2-2-2-200220000000000000020000-20020000
χ2122222-1222-1-122-122-1-1-1-1-122-12222222-1-12-1-1-1-122-1-1-1-1-1-122000000-1-100-1-1-1-12-1-12000-1-1-1-12000-1-100000000
χ2222222-1222-1-122-122-1-1-1-1-122-12222-222-1-1-211-1-1-2-211111122000000-1-100-1-1-1-1-211-2000-1-111-20001100000000
χ2322222-1222-1-122-122-1-1-1-1-122-1-2-2-2-2222-1-12-1-1-1-122-1-1-1-1-1-1-2-2000000110011-1-12-1-1-20001111-20001100000000
χ2422222-1222-1-122-122-1-1-1-1-122-1-2-2-2-2-222-1-1-211-1-1-2-2111111-2-2000000110011-1-1-211200011-1-12000-1-100000000
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-122222-2-211-2-1-1-1-1-2-2111111-2-2000000-1-100-1-1112-1-1200011-1-1-20001100000000
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-12222-2-2-211211-1-122-1-1-1-1-1-1-2-2000000-1-100-1-111-211-200011112000-1-100000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-22-2-211-2-1-1-1-1-2-211111122000000110011112-1-1-2000-1-1112000-1-100000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-2-2-2-211211-1-122-1-1-1-1-1-12200000011001111-2112000-1-1-1-1-20001100000000
χ292222-1222-122-1-1222-1-1-1-12-1-1200002-1-122222-1-1-1-122-1-1-1-1002222-1-1002200-1-1-1-1-102-1-100000-1-1-100000000-10
χ302222-1222-122-1-1222-1-1-1-12-1-1200002-1-122222-1-1-1-122-1-1-1-100-2-2-2-21100-2-200-1-1-1-1-10-211000001110000000010
χ312222-1222-122-1-1222-1-1-1-12-1-120000-2-1-122-2-2-2-1-111-2-21111002222-1-100-2-200-1-11110-2-1-100000-1110000000010
χ322222-1222-122-1-1222-1-1-1-12-1-120000-2-1-122-2-2-2-1-111-2-2111100-2-2-2-211002200-1-11110211000001-1-100000000-10
χ332222-1222-122-1-12-2-2-1-1-1-12-1-120000211-2-2-222-1-111-2-211110022-2-21100220011-1-1-10-2-1-1000001-1-10000000010
χ342222-1222-122-1-12-2-2-1-1-1-12-1-120000211-2-2-222-1-111-2-2111100-2-222-1-100-2-20011-1-1-1021100000-11100000000-10
χ352222-1222-122-1-12-2-2-1-1-1-12-1-120000-211-2-22-2-2-1-1-1-122-1-1-1-10022-2-21100-2-2001111102-1-10000011100000000-10
χ362222-1222-122-1-12-2-2-1-1-1-12-1-120000-211-2-22-2-2-1-1-1-122-1-1-1-100-2-222-1-1002200111110-21100000-1-1-10000000010
χ372-2-22222-2-2-2-22-222-22-2-22-22-222-22-202-22-2000-22000000002-20000002-2002-22-200000002-20000000000000000
χ382-2-22222-2-2-2-22-222-22-2-22-22-22-22-2202-22-2000-2200000000-22000000-2200-222-20000000-220000000000000000
χ392-2-22222-2-2-2-22-22-222-2-22-22-222-22-20-22-22000-2200000000-220000002-2002-2-220000000-220000000000000000
χ402-2-22222-2-2-2-22-22-222-2-22-22-22-22-220-22-22000-22000000002-2000000-2200-22-2200000002-20000000000000000
χ412-2-2222-22-2-2-22-22002-2-222-22-22-2-22000000002-200000000002-200002-200-2200000002-2000000000002-200000
χ422-2-2222-22-2-2-22-22002-2-222-22-22-2-22000000002-20000000000-2200002-200-220000000-2200000000000-2200000
χ432-2-2222-22-2-2-22-22002-2-222-22-2-222-2000000002-200000000002-20000-22002-200000002-200000000000-2200000
χ442-2-2222-22-2-2-22-22002-2-222-22-2-222-2000000002-20000000000-220000-22002-20000000-22000000000002-200000
χ452-2-222-12-2-2112-2-12-2-111-112-2-12-22-202-2-110−i3i31-100−i3i3−i3−i3i3i32-2000000-1100-11-110−i3i30000-11−i3i30000−i3i300000000
χ462-2-222-12-2-2112-2-12-2-111-112-2-12-22-202-2-110i3−i31-100i3−i3i3i3−i3−i32-2000000-1100-11-110i3−i30000-11i3−i30000i3−i300000000
χ472-2-222-12-2-2112-2-12-2-111-112-2-1-22-2202-2-110−i3i31-100−i3i3−i3−i3i3i3-220000001-1001-1-110−i3i300001-1i3−i30000i3−i300000000
χ482-2-222-12-2-2112-2-12-2-111-112-2-1-22-2202-2-110i3−i31-100i3−i3i3i3−i3−i3-220000001-1001-1-110i3−i300001-1−i3i30000−i3i300000000
χ492-2-222-12-2-2112-2-1-22-111-112-2-12-22-20-221-10−i3i31-100i3−i3i3i3−i3−i3-22000000-1100-111-10−i3i300001-1−i3i30000i3−i300000000
χ502-2-222-12-2-2112-2-1-22-111-112-2-12-22-20-221-10i3−i31-100−i3i3−i3−i3i3i3-22000000-1100-111-10i3−i300001-1i3−i30000−i3i300000000
χ512-2-222-12-2-2112-2-1-22-111-112-2-1-22-220-221-10−i3i31-100i3−i3i3i3−i3−i32-20000001-1001-11-10−i3i30000-11i3−i30000−i3i300000000
χ522-2-222-12-2-2112-2-1-22-111-112-2-1-22-220-221-10i3−i31-100−i3i3−i3−i3i3i32-20000001-1001-11-10i3−i30000-11−i3i30000i3−i300000000
χ5344444-2-4-44-2-244-200-2-2-2-22-4-4244-4-400000000220000000000000000-2-20022000000000000000000000000000
χ5444444-2-4-44-2-244-200-2-2-2-22-4-42-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ554444-24-4-4-244-2-2400-2-2-2-2-422-4000000000000220000000000004-4-2-2000000000000000000002000000000000
χ564444-24-4-4-244-2-2400-2-2-2-2-422-400000000000022000000000000-442200000000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-4440044-4-4-4-40044-4-4000000000000000000000000000000000000−2i22i200000000000000000−2i22i20000000000
χ6244-4-4440044-4-4-4-40044-4-40000000000000000000000000000000000002i2−2i2000000000000000002i2−2i20000000000
χ6344-4-4-2400-24-422-400-2-2220000000000000000006−6006−66−6000000−2i32i300−2i22i200000000000000000i2−i20000000000
χ6444-4-4-2400-24-422-400-2-2220000000000000000006−6006−66−60000002i3−2i3002i2−2i200000000000000000−i2i20000000000
χ6544-4-4-2400-24-422-400-2-222000000000000000000−6600−66−66000000−2i32i3002i2−2i200000000000000000−i2i20000000000
χ6644-4-4-2400-24-422-400-2-222000000000000000000−6600−66−660000002i3−2i300−2i22i200000000000000000i2−i20000000000
χ674-44-44400-4-44-44-4004-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-44400-4-44-44-4004-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-2-44-4224-4-200-222-2-2-4424-4-4400000000-220000000000000000-22002-2000000000000000000000000000
χ704-4-444-2-44-4224-4-200-222-2-2-442-444-400000000-2200000000000000002-200-22000000000000000000000000000
χ714-4-44-244-42-4-4-2244-4-222-2-4-22400000-224-40002-20000000000000000000000-220000000000000000000000000
χ724-4-44-244-42-4-4-224-44-222-2-4-224000002-2-440002-200000000000000000000002-20000000000000000000000000
χ734-4-44-24-442-4-4-22400-222-242-2-4000000000000-2200000000004-400000000000000000-22000000000000000000
χ744-4-44-24-442-4-4-22400-222-242-2-4000000000000-220000000000-44000000000000000002-2000000000000000000
χ754-4-44-2-24-4222-22-24-41-1-112-22-200000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000000001-10i3−i30000000000000000000000
χ764-4-44-2-24-4222-22-24-41-1-112-22-200000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000000001-10−i3i30000000000000000000000
χ774-4-44-2-24-4222-22-2-441-1-112-22-2000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000000-110i3−i30000000000000000000000
χ784-4-44-2-24-4222-22-2-441-1-112-22-2000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000000-110−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4008-44-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440022-2-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-2000000000000000000−2626006−66−600000000000000000000000000000000000000000
χ838-88-88-400-84-4-88400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-884-4-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44002-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44002-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000

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