Finite Group Databasebeta

← Group #11895754

Character table — Group #11895754

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666622344666121212121212121212121212121246666666612121212121212121212121212448888442226688121224242424242424244446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-111-1-11-1-11-1-11
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-1-1-111-111-111-1
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-11111-1-1-1111-11-1
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-111-1-1111-1-1-11-11
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-1111-1-1-1-11111-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-11111
χ1311111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-11-1-11-111-1-11111-1-1-111-11-11
χ1411111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-11-1-1-11111-1-111-1-1111-1-11-11-1
χ1511111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111111-1111-1-1-1-111-1-111-1-11-1-1-111-1
χ1611111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-111-11-1-111-1-1-1-111-1111-1-11
χ17222222-2-22222220022-2222-22222-2-22222-2-2-2000000000-20000-2-2-2-200000000002200000000000000000-22-20000
χ18222222-2-22222220022-2222-22222-2-22222-2-2-2000000000-20000-2-2-2-20000000000-2-2000000000000000002-220000
χ19222222-2-2222222002-22222-2-2-2-2-222-2-2-2-2-2-2-200000000020000-2-22200000000002200000000000000000-2-220000
χ20222222-2-2222222002-22222-2-2-2-2-222-2-2-2-2-2-2-200000000020000-2-2220000000000-2-20000000000000000022-20000
χ2122222-1222-1-12-1222-122-1-1-1-122-1-122-1-1-1-122-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000022000220002000000-1-1-1-1000-1-100
χ2222222-1222-1-12-1222-122-1-1-1-122-1-122-1-1-1-122-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2000-2-2000-200000011110001100
χ2322222-1222-1-12-1222-1-2-2-1-1-1-1-2-211-2-2111122-1-222-1-1-1-1-1-11-2-211-1-11111110000220002-2000-2000000-1-111000-1100
χ2422222-1222-1-12-1222-1-2-2-1-1-1-1-2-211-2-2111122-1-222-1-1-1-1-1-11-2-211-1-11111110000-2-2000-22000200000011-1-10001-100
χ2522222-1222-1-12-12-2-2-122-1-1-1-122-1-122-1-1-1-122-1-2-2-2111111-1-2-211-1-1-1-11111000022000-2-20002000000-1-1-1-10001100
χ2622222-1222-1-12-12-2-2-122-1-1-1-122-1-122-1-1-1-122-1-2-2-2111111-1-2-211-1-1-1-111110000-2-200022000-20000001111000-1-100
χ2722222-1222-1-12-12-2-2-1-2-2-1-1-1-1-2-211-2-2111122-12-2-2111111122-1-1-1-111-1-1-1-1000022000-22000-2000000-1-1110001-100
χ2822222-1222-1-12-12-2-2-1-2-2-1-1-1-1-2-211-2-2111122-12-2-2111111122-1-1-1-111-1-1-1-10000-2-20002-2000200000011-1-1000-1100
χ292222-1222-122-12-122-122-1-1-12-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122220000200-1-120-1-1-1-1-1-100000000000
χ302222-1222-122-12-122-122-1-1-12-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-20011-2011111100000000000
χ312222-1222-122-12-122-1-2-2-1-1-1211-2-2111111-1-12-2-1-122-1-1-1-1-211-2-2-1-111111122220000-20011-20-1-1-1-11100000000000
χ322222-1222-122-12-122-1-2-2-1-1-1211-2-2111111-1-12-2-1-122-1-1-1-1-211-2-2-1-1111111-2-2-2-20000200-1-1201111-1-100000000000
χ332222-1222-122-12-1-2-2-122-1-1-12-1-122-1-1-1-1-1-1-1-12-211-2-21111211-2-2-1-1-1-1111122-2-20000200-1-1-20-1-1111100000000000
χ342222-1222-122-12-1-2-2-122-1-1-12-1-122-1-1-1-1-1-1-1-12-211-2-21111211-2-2-1-1-1-11111-2-2220000-200112011-1-1-1-100000000000
χ352222-1222-122-12-1-2-2-1-2-2-1-1-1211-2-2111111-1-12211-2-21111-2-1-122-1-111-1-1-1-122-2-20000-2001120-1-111-1-100000000000
χ362222-1222-122-12-1-2-2-1-2-2-1-1-1211-2-2111111-1-12211-2-21111-2-1-122-1-111-1-1-1-1-2-2220000200-1-1-2011-1-11100000000000
χ3722-2-222-2222-2-2-2-22-22002-2-2-200000000002-2202-22-222-2-2000002-20000002i−2i2i−2i000000000002i−2i2i−2i0000000000000
χ3822-2-222-2222-2-2-2-22-22002-2-2-200000000002-2202-22-222-2-2000002-2000000−2i2i−2i2i00000000000−2i2i−2i2i0000000000000
χ3922-2-222-2222-2-2-2-2-222002-2-2-200000000002-220-22-22-2-222000002-20000002i−2i−2i2i000000000002i−2i−2i2i0000000000000
χ4022-2-222-2222-2-2-2-2-222002-2-2-200000000002-220-22-22-2-222000002-2000000−2i2i2i−2i00000000000−2i2i2i−2i0000000000000
χ4122-2-2-12-22-12-21-212-2-100-111-23−3003−333−3−3-1120-112-2-1-11103−300-113−333−3−32i−2i2i−2i0000000−i3i300−ii−ii−i3i300000000000
χ4222-2-2-12-22-12-21-212-2-100-111-23−3003−333−3−3-1120-112-2-1-11103−300-113−333−3−3−2i2i−2i2i0000000i3−i300i−ii−ii3−i300000000000
χ4322-2-2-12-22-12-21-212-2-100-111-2−3300−33−3−333-1120-112-2-1-1110−3300-11−33−3−3332i−2i2i−2i0000000i3−i300−ii−iii3−i300000000000
χ4422-2-2-12-22-12-21-212-2-100-111-2−3300−33−3−333-1120-112-2-1-1110−3300-11−33−3−333−2i2i−2i2i0000000−i3i300i−ii−i−i3i300000000000
χ4522-2-2-12-22-12-21-21-22-100-111-23−3003−333−3−3-11201-1-2211-1-10−3300-113−3−3−3332i−2i−2i2i0000000−i3i300−iii−ii3−i300000000000
χ4622-2-2-12-22-12-21-21-22-100-111-23−3003−333−3−3-11201-1-2211-1-10−3300-113−3−3−333−2i2i2i−2i0000000i3−i300i−i−ii−i3i300000000000
χ4722-2-2-12-22-12-21-21-22-100-111-2−3300−33−3−333-11201-1-2211-1-103−300-11−3333−3−32i−2i−2i2i0000000i3−i300−iii−i−i3i300000000000
χ4822-2-2-12-22-12-21-21-22-100-111-2−3300−33−3−333-11201-1-2211-1-103−300-11−3333−3−3−2i2i2i−2i0000000−i3i300i−i−iii3−i300000000000
χ4944444-2-4-44-2-24-2400-24-4-2-2-2244-2-2-4-4-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-44-2-2-22-4-422442222-4-42000000000-2000022-2-2000000000000000000000000000000000000
χ514444-24-4-4-244-24-200-24-4-2-2-2-4-2-24422-2-2-2-222-4000000000-400002222000000000000000000000000000000000000
χ524444-24-4-4-244-24-200-2-44-2-2-2-422-4-4-2-2222222-40000000004000022-2-2000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244144111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441-4-4111-2222222-1-1-1-1-2-2-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4144111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41-4-4111-2222222-1-1-1-1-2-2-242222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20014-41112-2-2-2-2221111222000003-33-320000-1-1-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20014-41112-2-2-2-222111122200000-33-3320000-1-1-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2001-4411122222-2-2-1-1-1-1222000003-33-3-20000-1-111-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2001-4411122222-2-2-1-1-1-122200000-33-33-20000-1-1113-33-300000000000000000000000000000000
χ6144-4-4444-444-4-4-4-4004004-4-440000000000-44-400000000000000-4400000000000000000000000000000000000000
χ6244-4-44-24-44-22-42-400-200-222-20000000000-44200000000000023−232-20023−23−232300000000000000000000000000000000
χ6344-4-44-24-44-22-42-400-200-222-20000000000-442000000000000−23232-200−232323−2300000000000000000000000000000000
χ6444-4-44-2-444-22-42-44-4-200-222200000000004-4-204-4-22-2-22200000-2200000000000000000000000000000000000000
χ6544-4-44-2-444-22-42-4-44-200-222200000000004-4-20-442-222-2-200000-2200000000000000000000000000000000000000
χ6644-4-4-244-4-24-42-4200-200-222423−2300−23232323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000
χ6744-4-4-244-4-24-42-4200-200-2224−23230023−23−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000
χ6844-4-4-2-24-4-2-22222001001-1-1-223−2300−2323−3−3332-22000003-3-33000−2323-113−33−3−3300000000000000000000000000000000
χ6944-4-4-2-24-4-2-22222001001-1-1-223−2300−2323−3−3332-2200000-333-300023−23-113−3−333−300000000000000000000000000000000
χ7044-4-4-2-24-4-2-22222001001-1-1-2−23230023−2333−3−32-22000003-3-3300023−23-11−33−333−300000000000000000000000000000000
χ7144-4-4-2-24-4-2-22222001001-1-1-2−23230023−2333−3−32-2200000-333-3000−2323-11−333−3−3300000000000000000000000000000000
χ7244-4-4-2-2-44-2-222224-41001-1-1223−230023−23−3−333-22-20-22-2211-1-1023−23001-1−33−3−33300000000000000000000000000000000
χ7344-4-4-2-2-44-2-222224-41001-1-12−232300−232333−3−3-22-20-22-2211-1-10−2323001-13−333−3−300000000000000000000000000000000
χ7444-4-4-2-2-44-2-22222-441001-1-1223−230023−23−3−333-22-202-22-2-1-1110−2323001-1−3333−3−300000000000000000000000000000000
χ7544-4-4-2-2-44-2-22222-441001-1-12−232300−232333−3−3-22-202-22-2-1-111023−23001-13−3−3−33300000000000000000000000000000000
χ764-44-44400-4-4-444-400400-4-44000000000000000000000000000000000000000022−2200000000000000022−22000000000
χ774-44-44400-4-4-444-400400-4-440000000000000000000000000000000000000000−2222000000000000000−2222000000000
χ784-44-44-200-4224-2-400-20022-2000−2i32i300−2i32i3−2i32i30000000000000000000000000000022−22000000000000000−22i6−i60000000
χ794-44-44-200-4224-2-400-20022-2000−2i32i300−2i32i3−2i32i300000000000000000000000000000−22220000000000000002−2−i6i60000000
χ804-44-44-200-4224-2-400-20022-20002i3−2i3002i3−2i32i3−2i30000000000000000000000000000022−22000000000000000−22−i6i60000000
χ814-44-44-200-4224-2-400-20022-20002i3−2i3002i3−2i32i3−2i300000000000000000000000000000−22220000000000000002−2i6−i60000000
χ824-4-444400-4-44-4-4400400-44-40000000000000000000000000000000000000000004-4000000000000000000000000
χ834-4-444400-4-44-4-4400400-44-4000000000000000000000000000000000000000000-44000000000000000000000000
χ848-88-8-48004-8-8-48400-40044-400000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-4400200-2-22000−4i34i3002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400444-4-4400200-2-220004i3−4i300−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ878-8-888-400-84-4-84800-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-884-8-400-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-444-400200-22-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40044-444-400200-22-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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