Finite Group Databasebeta

← Group #11866196

Character table — Group #11866196

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121222444666681212121224242424242424242244446688121212126612121222666681212122424242444448862
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-111-1-11111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1-1111-1-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-111-1-111-1-111-111-111-1-1
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-111-11-1-1-1-1-1-11-1-11-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11-11111-1-1-111-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-111-1-11-11111111-1-11-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1111-1-111-1-111-1-1-111-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-111-1-111-1-111-1-1-1-1-11-11111-11-1-1-1-111-111-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000002-22200-2-222000000000000-2000000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-2000000000000-222200-2-2-2-20000000000002000000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000002-2-2-2002222000000000000-2000000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-2000000000000-22-2-20022-2-20000000000002000000-20020000
χ2122222-122-1-122-1222-1-1-1-12-12-12222222-1-12-1-1-1-122-1-1-1-1-1-1220000-1-100-1-100-1-12-1-120-1-1-1-12000-1-10000000000
χ2222222-122-1-122-1222-1-1-1-12-12-12222-222-1-1-211-1-1-2-2111111220000-1-100-1-100-1-1-211-20-1-111-2000110000000000
χ2322222-122-1-122-1222-1-1-1-12-12-1-2-2-2-2222-1-12-1-1-1-122-1-1-1-1-1-1-2-2000011001100-1-12-1-1-201111-2000110000000000
χ2422222-122-1-122-1222-1-1-1-12-12-1-2-2-2-2-222-1-1-211-1-1-2-2111111-2-2000011001100-1-1-2112011-1-12000-1-10000000000
χ2522222-122-1-122-12-2-2-1-1-1-12-12-122222-2-211-2-1-1-1-1-2-2111111-2-20000-1-100-1-100112-1-12011-1-1-2000110000000000
χ2622222-122-1-122-12-2-2-1-1-1-12-12-12222-2-2-211211-1-122-1-1-1-1-1-1-2-20000-1-100-1-10011-211-2011112000-1-10000000000
χ2722222-122-1-122-12-2-2-1-1-1-12-12-1-2-2-2-22-2-211-2-1-1-1-1-2-211111122000011001100112-1-1-20-1-1112000-1-10000000000
χ2822222-122-1-122-12-2-2-1-1-1-12-12-1-2-2-2-2-2-2-211211-1-122-1-1-1-1-1-12200001100110011-21120-1-1-1-1-2000110000000000
χ292222-122222-1-12-122-1-1-1-1-12-1200002-1-122222-1-1-1-122-1-1-1-1002222002200-1-1-1-1-1-1-10200000-1-1-100-1-1000000-10
χ302222-122222-1-12-122-1-1-1-1-12-1200002-1-122222-1-1-1-122-1-1-1-100-2-2-2-200-2-20011-1-1-1-1-10-200000111001100000010
χ312222-122222-1-12-122-1-1-1-1-12-120000-2-1-122-2-2-2-1-111-2-2111100222200-2-200-1-1-1-11110-200000-1-1-1001100000010
χ322222-122222-1-12-122-1-1-1-1-12-120000-2-1-122-2-2-2-1-111-2-2111100-2-2-2-200220011-1-1111020000011100-1-1000000-10
χ332222-122222-1-12-1-2-2-1-1-1-1-12-120000211-2-2-222-1-111-2-211110022-2-20022001111-1-1-10-2000001-1-100-1-100000010
χ342222-122222-1-12-1-2-2-1-1-1-1-12-120000211-2-2-222-1-111-2-2111100-2-22200-2-200-1-111-1-1-10200000-1110011000000-10
χ352222-122222-1-12-1-2-2-1-1-1-1-12-120000-211-2-22-2-2-1-1-1-122-1-1-1-10022-2-200-2-200111111102000001-1-10011000000-10
χ362222-122222-1-12-1-2-2-1-1-1-1-12-120000-211-2-22-2-2-1-1-1-122-1-1-1-100-2-222002200-1-1111110-200000-11100-1-100000010
χ3722-2-2222-2-2-22-22-2002-2-2222-2-22-22-2000000002-200000000002i−2i002-2002-20000000000000002i−2i000002i−2i00000
χ3822-2-2222-2-2-22-22-2002-2-2222-2-22-22-2000000002-20000000000−2i2i002-2002-2000000000000000−2i2i00000−2i2i00000
χ3922-2-2222-2-2-22-22-2002-2-2222-2-2-22-22000000002-200000000002i−2i00-2200-220000000000000002i−2i00000−2i2i00000
χ4022-2-2222-2-2-22-22-2002-2-2222-2-2-22-22000000002-20000000000−2i2i00-2200-22000000000000000−2i2i000002i−2i00000
χ4122-2-222-22-2-22-22-22-22-2-22-2-2222-2-2202-22-2000-22000000002-200002-200-22002-2000002-2000000000000000000
χ4222-2-222-22-2-22-22-22-22-2-22-2-222-222-202-22-2000-2200000000-220000-22002-2002-200000-22000000000000000000
χ4322-2-222-22-2-22-22-2-222-2-22-2-2222-2-220-22-22000-2200000000-2200002-200-2200-2200000-22000000000000000000
χ4422-2-222-22-2-22-22-2-222-2-22-2-222-222-20-22-22000-22000000002-20000-22002-200-22000002-2000000000000000000
χ4522-2-22-1-22112-2-1-22-2-111-1-212-12-2-2202-2-110−i3i31-100−i3i3−i3−i3i3i32-20000-11001-100-110−i3i300-11−i3i30000−i3i30000000000
χ4622-2-22-1-22112-2-1-22-2-111-1-212-12-2-2202-2-110i3−i31-100i3−i3i3i3−i3−i32-20000-11001-100-110i3−i300-11i3−i30000i3−i30000000000
χ4722-2-22-1-22112-2-1-22-2-111-1-212-1-222-202-2-110−i3i31-100−i3i3−i3−i3i3i3-2200001-100-1100-110−i3i3001-1i3−i30000i3−i30000000000
χ4822-2-22-1-22112-2-1-22-2-111-1-212-1-222-202-2-110i3−i31-100i3−i3i3i3−i3−i3-2200001-100-1100-110i3−i3001-1−i3i30000−i3i30000000000
χ4922-2-22-1-22112-2-1-2-22-111-1-212-12-2-220-221-10−i3i31-100i3−i3i3i3−i3−i3-220000-11001-1001-10−i3i3001-1−i3i30000i3−i30000000000
χ5022-2-22-1-22112-2-1-2-22-111-1-212-12-2-220-221-10i3−i31-100−i3i3−i3−i3i3i3-220000-11001-1001-10i3−i3001-1i3−i30000−i3i30000000000
χ5122-2-22-1-22112-2-1-2-22-111-1-212-1-222-20-221-10−i3i31-100i3−i3i3i3−i3−i32-200001-100-11001-10−i3i300-11i3−i30000−i3i30000000000
χ5222-2-22-1-22112-2-1-2-22-111-1-212-1-222-20-221-10i3−i31-100−i3i3−i3−i3i3i32-200001-100-11001-10i3−i300-11−i3i30000i3−i30000000000
χ5344444-2-4-4-2-244-2400-2-2-2-2-42-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ5444444-2-4-4-2-244-2400-2-2-2-2-42-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ554444-24-4-444-2-24-200-2-2-2-22-42-4000000000000220000000000004-4000000-2-2000000000000200000000000000
χ564444-24-4-444-2-24-200-2-2-2-22-42-400000000000022000000000000-4400000022000000000000-200000000000000
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
χ6144-4-44-24-4224-4-2-400-222-24-2-424-44-400000000-2200000000000000-2200-2200000000000000000000000000000
χ6244-4-44-24-4224-4-2-400-222-24-2-42-44-4400000000-22000000000000002-2002-200000000000000000000000000000
χ6344-4-4-244-4-4-4-224200-222-2-242-4000000000000-2200000000004i−4i00000000000000000000000−2i2i000000000000
χ6444-4-4-244-4-4-4-224200-222-2-242-4000000000000-220000000000−4i4i000000000000000000000002i−2i000000000000
χ6544-4-4-24-44-4-4-22424-4-222-22-4-2400000-224-40002-20000000000000000000000-220000000000000000000000000
χ6644-4-4-24-44-4-4-2242-44-222-22-4-24000002-2-440002-200000000000000000000002-20000000000000000000000000
χ6744-4-4-2-2-4422-22-224-41-1-1122-2-200000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000000001-10i3−i30000000000000000000000
χ6844-4-4-2-2-4422-22-224-41-1-1122-2-200000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000000001-10−i3i30000000000000000000000
χ6944-4-4-2-2-4422-22-22-441-1-1122-2-2000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000000-110i3−i30000000000000000000000
χ7044-4-4-2-2-4422-22-22-441-1-1122-2-2000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000000-110−i3i30000000000000000000000
χ714-44-444004-4-4-4-440044-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-444004-4-4-4-440044-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-44-44-4-4004-44-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ744-4-444400-44-44-4-4004-44-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ754-4-44-2400-442-2-4200-22-220000000000000000006−6006−66−60000000022−220023−2300000000000000000−2200000000
χ764-4-44-2400-442-2-4200-22-220000000000000000006−6006−66−600000000−222200−2323000000000000000002−200000000
χ774-4-44-2400-442-2-4200-22-22000000000000000000−6600−66−660000000022−2200−232300000000000000000−2200000000
χ784-4-44-2400-442-2-4200-22-22000000000000000000−6600−66−6600000000−22220023−23000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-844-44-44002-2-22-4-4440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-88-400-44-8-84800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48008-844-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-44444-40022-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-400-44444-40022-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-888-4004-4-884-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-444002-22-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-4004-44-444002-22-2000000000000000000−2626006−66−600000000000000000000000000000000000000000

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