Finite Group Databasebeta

← Group #11868968

Character table — Group #11868968

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666622366688121212122424242422446666466661212121224242424242422444488121212122424242466121212446681212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111111-1111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-1-111111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1111-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-111-111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-111-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-1-1-1111-1-1-1-11-1-1111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-1111-11111-111-1-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-11111-111-1-1-11-1-1-1-1-111-11-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-1-1111-1-1-111111-1-11-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-2000000000000000020000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-2220000000000000000-20000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-2000022-2-2000000000000000020000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-22000022220000000000000000-20000-2002000
χ2122222-122-12-1-12222-1-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000022-1-100-1-1-1-1-1-12-1-102-1-10-1-1000000000000
χ2222222-122-12-1-12222-1-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20000-2-211001111-1-12-1-10-211011000000000000
χ2322222-122-12-1-12222-1-1-1-1-2-22-12-111112222-1-1-1-1-222-1-111-1-1-2-21111220000-2-2-1-1001111-1-1-2110-2-1-1011000000000000
χ2422222-122-12-1-12222-1-1-1-1-2-22-12-11111-2-2-2-21111-222-1-111-1-1-2-21111-2-20000221100-1-1-1-1-1-1-21102110-1-1000000000000
χ2522222-122-12-1-122-2-2-1-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000022-1-100-1-1-1-111-2110-211011000000000000
χ2622222-122-12-1-122-2-2-1-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1220000-2-21100111111-21102-1-10-1-1000000000000
χ2722222-122-12-1-122-2-2-1-1-1-1-2-22-12-111112222-1-1-1-12-2-211-1-1-1-1-2-21111-2-20000-2-2-1-1001111112-1-102110-1-1000000000000
χ2822222-122-12-1-122-2-2-1-1-1-1-2-22-12-11111-2-2-2-211112-2-211-1-1-1-1-2-21111220000221100-1-1-1-1112-1-10-2-1-1011000000000000
χ292222-12222-122-1-122-1-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-12000200-1-1-1-1-10000-100
χ302222-12222-122-1-122-1-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-1-2000-200111110000100
χ312222-12222-122-1-122-1-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-11111110022220000-1-10000-1-1111-2000-200-1-1-1110000100
χ322222-12222-122-1-122-1-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-111111100-2-2-2-20000110000-1-11112000200111-1-10000-100
χ332222-12222-122-1-1-2-2-1-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-10022-2-20000-1-1000011111-2000200-111-1-10000100
χ342222-12222-122-1-1-2-2-1-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-2220000110000111112000-2001-1-1110000-100
χ352222-12222-122-1-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-11111110022-2-20000-1-1000011-1-1-12000-200-111110000-100
χ362222-12222-122-1-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-111111100-2-222000011000011-1-1-1-20002001-1-1-1-10000100
χ3722-2-2222-2-222-2-2-22-22-22-20022-2-200002-22-222-2-202-22-2002-20000002-20000002-20000002-2000002-2000000000000000
χ3822-2-2222-2-222-2-2-22-22-22-20022-2-20000-22-22-2-22202-22-2002-2000000-22000000-220000002-200000-22000000000000000
χ3922-2-2222-2-222-2-2-2-222-22-20022-2-200002-22-222-2-20-22-22002-2000000-220000002-2000000-2200000-22000000000000000
χ4022-2-2222-2-222-2-2-2-222-22-20022-2-20000-22-22-2-2220-22-22002-20000002-2000000-22000000-22000002-2000000000000000
χ4122-2-222-22-222-2-2-2002-22-200-2-22200002-2-2222-2-20000000-2200000000002i−2i00-2200000000000000000002i−2i0002i−2i0000
χ4222-2-222-22-222-2-2-2002-22-200-2-22200002-2-2222-2-20000000-220000000000−2i2i00-220000000000000000000−2i2i000−2i2i0000
χ4322-2-222-22-222-2-2-2002-22-200-2-2220000-222-2-2-2220000000-2200000000002i−2i002-200000000000000000002i−2i000−2i2i0000
χ4422-2-222-22-222-2-2-2002-22-200-2-2220000-222-2-2-2220000000-220000000000−2i2i002-20000000000000000000−2i2i0002i−2i0000
χ4522-2-22-12-212-11-2-22-2-11-11002-1-2133−3−32-22-2-1-11102-2-113−3-110033−3−32-2000000-110033−3−3-1103−300-1103−3000000000000
χ4622-2-22-12-212-11-2-22-2-11-11002-1-2133−3−3-22-2211-1-102-2-113−3-110033−3−3-220000001-100−3−333-1103−3001-10−33000000000000
χ4722-2-22-12-212-11-2-22-2-11-11002-1-21−3−3332-22-2-1-11102-2-11−33-1100−3−3332-2000000-1100−3−333-110−3300-110−33000000000000
χ4822-2-22-12-212-11-2-22-2-11-11002-1-21−3−333-22-2211-1-102-2-11−33-1100−3−333-220000001-10033−3−3-110−33001-103−3000000000000
χ4922-2-22-12-212-11-2-2-22-11-11002-1-2133−3−32-22-2-1-1110-221-1−33-110033−3−3-22000000-110033−3−31-10−33001-10−33000000000000
χ5022-2-22-12-212-11-2-2-22-11-11002-1-2133−3−3-22-2211-1-10-221-1−33-110033−3−32-20000001-100−3−3331-10−3300-1103−3000000000000
χ5122-2-22-12-212-11-2-2-22-11-11002-1-21−3−3332-22-2-1-1110-221-13−3-1100−3−333-22000000-1100−3−3331-103−3001-103−3000000000000
χ5222-2-22-12-212-11-2-2-22-11-11002-1-21−3−333-22-2211-1-10-221-13−3-1100−3−3332-20000001-10033−3−31-103−300-110−33000000000000
χ5344444-2-4-4-24-2-24400-2-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-200-42-420000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-44-244-2-200-2-2-2-2002-42-4000000000000000000022000000004-4000000220000000000000000-200000000000
χ564444-24-4-44-244-2-200-2-2-2-2002-42-400000000000000000002200000000-44000000-2-20000000000000000200000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44-2-4424-22-4-400-22-2200-424-200004-4-44-2-22200000002-2000000000000002-2000000000000000000000000000000
χ6244-4-44-2-4424-22-4-400-22-2200-424-20000-444-422-2-200000002-200000000000000-22000000000000000000000000000000
χ6344-4-4-244-4-4-24-4224-4-22-2200-242-40000000000000-224-400-220000000000000000000000-220000000000000000000000
χ6444-4-4-244-4-4-24-422-44-22-2200-242-400000000000002-2-4400-2200000000000000000000002-20000000000000000000000
χ6544-4-4-24-44-4-24-42200-22-22002-4-2400000000000000000002-200000000004i−4i00000000000000000000000−2i2i000000000
χ6644-4-4-24-44-4-24-42200-22-22002-4-2400000000000000000002-20000000000−4i4i000000000000000000000002i−2i000000000
χ6744-4-4-2-24-42-2-22224-41-11-100-2-2222323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ6844-4-4-2-24-42-2-22224-41-11-100-2-222−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ6944-4-4-2-24-42-2-2222-441-11-100-2-2222323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ7044-4-4-2-24-42-2-2222-441-11-100-2-222−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ714-44-444004-4-4-44-40044-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-444004-4-4-44-40044-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-2-4224-400-2-222−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ744-44-44-200-2-4224-400-2-222−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ754-44-44-200-2-4224-400-2-2222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ764-44-44-200-2-4224-400-2-2222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ774-44-4-240042-4-4-2200-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ784-44-4-240042-4-4-2200-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ794-44-4-240042-4-4-2200-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ804-44-4-240042-4-4-2200-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ814-4-444400-4-4-44-44004-4-4400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-4-44-44004-4-44000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-2002-42-2-4400-222-2000000i6−i6−i6i60000−2i32i32i3−2i300000000000i6−i6−i6i600000022−220000−222−2000000000000000000000000
χ844-4-444-2002-42-2-4400-222-2000000i6−i6−i6i600002i3−2i3−2i32i300000000000i6−i6−i6i6000000−222200002−2−22000000000000000000000000
χ854-4-444-2002-42-2-4400-222-2000000−i6i6i6−i60000−2i32i32i3−2i300000000000−i6i6i6−i6000000−222200002−2−22000000000000000000000000
χ864-4-444-2002-42-2-4400-222-2000000−i6i6i6−i600002i3−2i3−2i32i300000000000−i6i6i6−i600000022−220000−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-884-4-4444002-22-20044-4-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-440022-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-400-4444-440022-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-88-4800-84-884-400-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-4002-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-400444-44-4002-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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