Finite Group Databasebeta

← Group #11886713

Character table — Group #11886713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222222444444444444444444448888888888888888888888812121212242424242424242424242424242436363636484848487272
order12233446666121236666888812121212121212242424244121212121212121224242424242424242424242424242244244466881212242424242244612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-11-11-11-111-1-1111111-1-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1111-11-11-111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1111-1-1-11-11-11-1-111-1-1-1-111-1-111
χ811111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-11-11-11-1-1111111-1-111-1-1
χ9111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-11-11-11-11-11-1
χ10111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-111-1-1-1-1-11-11-11-11-11
χ11111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-11-111-11-1-11
χ12111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111111-11-1-11-111-1
χ13111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1111-11-11-1-11-11
χ14111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-1-1-111-11-11-111-11-1
χ15111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1111-1-1-11-111-1-111-1
χ16111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-1-11-11-1-111-1-11
χ172222-12222-12-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122220000-1-122-1-1-1-1-1-10000000000
χ182222-12222-12-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-2-2-2-2000011-2-21111110000000000
χ192222-12222-12-1-1-1-1-1-1-122-2-2-122-1-1-1-1-1-1-1-1-2-2-211111122-1-1-1-1-2-21111112-22-20000-112-2-11-1-1110000000000
χ202222-12222-12-1-1-1-1-1-1-122-2-2-122-1-1-1-1-1-1-1-1-2-2-211111122-1-1-1-1-2-2111111-22-2200001-1-221-111-1-10000000000
χ212222-12222-12-1-1-1-1-1-1-1-2-222-122-1-1-1-11111-2-2-2111111-2-2111122-1-1-1-1-1-122220000-1-1-2-2-1-111110000000000
χ222222-12222-12-1-1-1-1-1-1-1-2-222-122-1-1-1-11111-2-2-2111111-2-2111122-1-1-1-1-1-1-2-2-2-20000112211-1-1-1-10000000000
χ232222-12222-12-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-11111222-1-1-1-1-1-1-2-21111-2-21111112-22-20000-11-22-1111-1-10000000000
χ242222-12222-12-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-11111222-1-1-1-1-1-1-2-21111-2-2111111-22-2200001-12-21-1-1-1110000000000
χ25222-1222-1-12-122-12-1-1-122222-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000222200000000000000-1-1-1-100
χ26222-1222-1-12-122-12-1-1-122222-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000000000111100
χ27222-1222-1-12-122-12-1-1-122-2-22-1-1-1-1-1-12222-211-2-21111-1-1-1-1-1-111-2-21111000022-2-200000000000000-1-11100
χ28222-1222-1-12-122-12-1-1-122-2-22-1-1-1-1-1-12222-211-2-21111-1-1-1-1-1-111-2-211110000-2-2220000000000000011-1-100
χ29222-1222-1-12-122-12-1-1-1-2-2222-1-1-1-1-1-1-2-2-2-2-211-2-21111111111-1-122-1-1-1-100002-22-200000000000000-11-1100
χ30222-1222-1-12-122-12-1-1-1-2-2222-1-1-1-1-1-1-2-2-2-2-211-2-21111111111-1-122-1-1-1-10000-22-22000000000000001-11-100
χ31222-1222-1-12-122-12-1-1-1-2-2-2-22-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-111111111-2-2111100002-2-2200000000000000-111-100
χ32222-1222-1-12-122-12-1-1-1-2-2-2-22-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-111111111-2-211110000-222-2000000000000001-1-1100
χ3322-2222-2-2-222222-22-2-22-200-22-222-2-222-2-20000000002-222-2-20000000000000000000000000022-2-2000000
χ3422-2222-2-2-222222-22-2-22-200-22-222-2-222-2-20000000002-222-2-200000000000000000000000000-2-222000000
χ3522-2222-2-2-222222-22-2-2-2200-22-222-2-2-2-222000000000-22-2-222000000000000000000000000002-2-22000000
χ3622-2222-2-2-222222-22-2-2-2200-22-222-2-2-2-222000000000-22-2-22200000000000000000000000000-222-2000000
χ3722-222-22-2-222-2-22-22-2-2002-22-22-2-22200000000000000000002-22-222-2-222-2-200002200-2-200000000000000
χ3822-222-22-2-222-2-22-22-2-2002-22-22-2-22200000000000000000002-22-222-2-2-2-2220000-2-2002200000000000000
χ3922-222-22-2-222-2-22-22-2-200-222-22-2-2220000000000000000000-22-22-2-2222-2-2200002-200-2200000000000000
χ4022-222-22-2-222-2-22-22-2-200-222-22-2-2220000000000000000000-22-22-2-222-222-20000-22002-200000000000000
χ4122-22-1-22-2-2-1211-11-111002-2-1-2211-1-13−33−30003−333−3−3003−33−32-2-11-1-11122-2-20000-1-100113−33−30000000000
χ4222-22-1-22-2-2-1211-11-111002-2-1-2211-1-13−33−30003−333−3−3003−33−32-2-11-1-111-2-22200001100-1-1−33−330000000000
χ4322-22-1-22-2-2-1211-11-111002-2-1-2211-1-1−33−33000−33−3−33300−33−332-2-11-1-11122-2-20000-1-10011−33−330000000000
χ4422-22-1-22-2-2-1211-11-111002-2-1-2211-1-1−33−33000−33−3−33300−33−332-2-11-1-111-2-22200001100-1-13−33−30000000000
χ4522-22-1-22-2-2-1211-11-11100-22-1-2211-1-13−33−3000−33−3−333003−33−3-221-111-1-12-2-220000-11001-13−3−330000000000
χ4622-22-1-22-2-2-1211-11-11100-22-1-2211-1-13−33−3000−33−3−333003−33−3-221-111-1-1-222-200001-100-11−333−30000000000
χ4722-22-1-22-2-2-1211-11-11100-22-1-2211-1-1−33−330003−333−3−300−33−33-221-111-1-12-2-220000-11001-1−333−30000000000
χ4822-22-1-22-2-2-1211-11-11100-22-1-2211-1-1−33−330003−333−3−300−33−33-221-111-1-1-222-200001-100-113−3−330000000000
χ4944444-4-44444-4-4444440000-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000
χ504444-2-4-444-2422-2-2-2-2-200002-4-4222223−23−23230000000000023−23−2323000000000000000000000000000000000000
χ514444-2-4-444-2422-2-2-2-2-200002-4-42222−232323−2300000000000−232323−23000000000000000000000000000000000000
χ52444-24-4-4-2-24-2-4-4-24-2-2-20000-422222200000−2i32i300−2i32i3−2i32i3000000000000000000000000000000000000000000
χ53444-24-4-4-2-24-2-4-4-24-2-2-20000-4222222000002i3−2i3002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ54444-2-244-2-2-2-2-2-21-21114444-2-2-21111-2-2-2-24-2-2-2-21111-2-21111-2-2-2-211110000000000000000000000000000
χ55444-2-244-2-2-2-2-2-21-211144-4-4-2-2-21111-2-2-2-2-42222-1-1-1-1-2-211112222-1-1-1-10000000000000000000000000000
χ56444-2-244-2-2-2-2-2-21-2111-4-444-2-2-211112222-42222-1-1-1-122-1-1-1-1-2-2-2-211110000000000000000000000000000
χ57444-2-244-2-2-2-2-2-21-2111-4-4-4-4-2-2-2111122224-2-2-2-2111122-1-1-1-12222-1-1-1-10000000000000000000000000000
χ58444-2-2-4-4-2-2-2-2221-21110000222-1-1-1-123−23−23230−2i32i300i3−i3i3−i300−333−300003i−3i3i−3i0000000000000000000000000000
χ59444-2-2-4-4-2-2-2-2221-21110000222-1-1-1-123−23−232302i3−2i300−i3i3−i3i300−333−30000−3i3i−3i3i0000000000000000000000000000
χ60444-2-2-4-4-2-2-2-2221-21110000222-1-1-1-1−232323−230−2i32i300i3−i3i3−i3003−3−330000−3i3i−3i3i0000000000000000000000000000
χ61444-2-2-4-4-2-2-2-2221-21110000222-1-1-1-1−232323−2302i3−2i300−i3i3−i3i3003−3−3300003i−3i3i−3i0000000000000000000000000000
χ6244-44-24-4-4-4-24-2-2-22-2224-40024-4-2-222-2-2220000000004-4-2-222000000000000000000000000000000000000
χ6344-44-24-4-4-4-24-2-2-22-222-440024-4-2-22222-2-2000000000-4422-2-2000000000000000000000000000000000000
χ6444-4-244-4224-244-2-4-2224-400-4-22-2-22244-4-4000000000-22-2-222000000000000000000000000000000000000
χ6544-4-244-4224-244-2-4-222-4400-4-22-2-222-4-4440000000002-222-2-2000000000000000000000000000000000000
χ6644-4-24-44224-2-4-4-2-4-222004-442-222-2-20000000000000000000-224-4-2-2220000000000000000000000000000
χ6744-4-24-44224-2-4-4-2-4-22200-4442-222-2-200000000000000000002-2-4422-2-20000000000000000000000000000
χ6844-4-2-24-422-2-2-2-2121-1-14-4002-2211-1-1-2-222000003i−3i−3i3i-2211-1-100003i−3i−3i3i0000000000000000000000000000
χ6944-4-2-24-422-2-2-2-2121-1-14-4002-2211-1-1-2-22200000−3i3i3i−3i-2211-1-10000−3i3i3i−3i0000000000000000000000000000
χ7044-4-2-24-422-2-2-2-2121-1-1-44002-2211-1-122-2-2000003i−3i−3i3i2-2-1-1110000−3i3i3i−3i0000000000000000000000000000
χ7144-4-2-24-422-2-2-2-2121-1-1-44002-2211-1-122-2-200000−3i3i3i−3i2-2-1-11100003i−3i−3i3i0000000000000000000000000000
χ7244-4-2-2-4422-2-222121-1-1004-4-22-2-1-11123−2323−2300023−23−3−33300−33−33-22-2211-1-10000000000000000000000000000
χ7344-4-2-2-4422-2-222121-1-1004-4-22-2-1-111−2323−2323000−232333−3−3003−33−3-22-2211-1-10000000000000000000000000000
χ7444-4-2-2-4422-2-222121-1-100-44-22-2-1-11123−2323−23000−232333−3−300−33−332-22-2-1-1110000000000000000000000000000
χ7544-4-2-2-4422-2-222121-1-100-44-22-2-1-111−2323−232300023−23−3−333003−33−32-22-2-1-1110000000000000000000000000000
χ768-80880000-8-80080-800000000000000000000000000000000000000000000000000000000000000000000
χ778-808-400004-843−43-40400000000043−43000000000000000000000000000000000000000000000000000000000
χ788-808-400004-8−4343-404000000000−4343000000000000000000000000000000000000000000000000000000000
χ798-80-4800−4i34i3-8400-404−4i34i3000000000000000000000000000000000000000000000000000000000000000000
χ808-80-48004i3−4i3-8400-4044i3−4i3000000000000000000000000000000000000000000000000000000000000000000
χ818-80-4-400−4i34i34443−4320-22i3−2i30000000−23236i−6i0000000000000000000000000000000000000000000000000000000
χ828-80-4-400−4i34i344−434320-22i3−2i3000000023−23−6i6i0000000000000000000000000000000000000000000000000000000
χ838-80-4-4004i3−4i34443−4320-2−2i32i30000000−2323−6i6i0000000000000000000000000000000000000000000000000000000
χ848-80-4-4004i3−4i344−434320-2−2i32i3000000023−236i−6i0000000000000000000000000000000000000000000000000000000

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