Finite Group Databasebeta

← Group #11872338

Character table — Group #11872338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121226612121212121224242424242444444488121212122424242466612122481212121212121224242224648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-111-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-111-1-1-1-1-1-1111111-11-1-1-1-111111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-111-11-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111111-1-111-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-11-1-1-1-11-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111-1-111-1-1-1111-1-1-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-111-11111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111-1-11-1-111-1-11-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-11111111-1-1-1-1111-1-1-111111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2000022-2-20000000000000000-20000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-20020000-2-2-2-2000000000000000020000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-2000022220000000000000000-20000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-20020000-2-222000000000000000020000-2002000
χ2122222-1222-1-122-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-120022200-1-1000000-1-1-1-1-12020000-1-1-1-1-10000-100
χ2222222-1222-1-122-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-20011000000-1-1-1-1-1-20-20000111110000100
χ2322222-1222-1-122-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-222-1-1-1-111111120022200-1-1000000111-1-1-20-20000-1-1-1110000100
χ2422222-1222-1-122-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-222-1-1-1-1111111-200-2-2-20011000000111-1-12020000111-1-10000-100
χ2522222-1222-1-122-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12002-2-200-1-100000011111-2020000-111-1-10000100
χ2622222-1222-1-122-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-200-22200110000001111120-200001-1-1110000-100
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000222-2-211-1-11111112002-2-200-1-1000000-1-1-11120-20000-111110000-100
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000222-2-211-1-1111111-200-2220011000000-1-1-111-20200001-1-1-1-10000100
χ292222-1222-122-1-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-10220002200-1-1-1-1-1-12-1-1-1-1020-1-1-1-1000000000000
χ302222-1222-122-1-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-2000-2-2001111112-1-1-1-10-201111000000000000
χ312222-1222-122-1-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-211-1-122-1-1-2-21111022000-2-200-1-11111-211-1-10-20-1-111000000000000
χ322222-1222-122-1-12-122-1-1-1-2-22-1-121111-2-2-2-21111-211-1-122-1-1-2-211110-2-2000220011-1-1-1-1-211-1-102011-1-1000000000000
χ332222-1222-122-1-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-20002200-1-1-1-1-1-1-211110-201111000000000000
χ342222-1222-122-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1022000-2-200111111-21111020-1-1-1-1000000000000
χ352222-1222-122-1-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-1-111-2-2-1-1-2-211110-2-2000-2-200-1-111112-1-11102011-1-1000000000000
χ362222-1222-122-1-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-1-111-2-2-1-1-2-21111022000220011-1-1-1-12-1-1110-20-1-111000000000000
χ3722-2-2222-222-2-2-2-222-2-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0002-22-2-2200000002i−2i00000002i−2i00000002-20002i−2i00000000000000
χ3822-2-2222-222-2-2-2-222-2-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0002-22-2-220000000−2i2i0000000−2i2i00000002-2000−2i2i00000000000000
χ3922-2-2222-222-2-2-2-22-22-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i000-22-22-220000000−2i2i00000002i−2i0000000-22000−2i2i00000000000000
χ4022-2-2222-222-2-2-2-22-22-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i000-22-22-2200000002i−2i0000000−2i2i0000000-220002i−2i00000000000000
χ4122-2-222-2222-2-2-2-2200-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-200000000002i−2i0000−2i2i000000000000000002i−2i0002-20000
χ4222-2-222-2222-2-2-2-2200-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-20000000000−2i2i0000−2i2i00000000000000000−2i2i000-220000
χ4322-2-222-2222-2-2-2-2200-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-200000000002i−2i00002i−2i000000000000000002i−2i000-220000
χ4422-2-222-2222-2-2-2-2200-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-20000000000−2i2i00002i−2i00000000000000000−2i2i0002-20000
χ4522-2-2-122-2-12-211-2-12-211-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0−i3i3-112-21-100−i3−i3i3i302i−2i0000000−ii33−3−30−i3i3-11000−ii3−3000000000000
χ4622-2-2-122-2-12-211-2-12-211-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0−i3i3-112-21-100−i3−i3i3i30−2i2i0000000i−i−3−3330−i3i3-11000i−i−33000000000000
χ4722-2-2-122-2-12-211-2-12-211-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0i3−i3-112-21-100i3i3−i3−i302i−2i0000000−ii−3−3330i3−i3-11000−ii−33000000000000
χ4822-2-2-122-2-12-211-2-12-211-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0i3−i3-112-21-100i3i3−i3−i30−2i2i0000000i−i33−3−30i3−i3-11000i−i3−3000000000000
χ4922-2-2-122-2-12-211-2-1-2211-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0i3−i31-1-221-100−i3−i3i3i30−2i2i0000000−ii33−3−30i3−i31-1000i−i−33000000000000
χ5022-2-2-122-2-12-211-2-1-2211-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0i3−i31-1-221-100−i3−i3i3i302i−2i0000000i−i−3−3330i3−i31-1000−ii3−3000000000000
χ5122-2-2-122-2-12-211-2-1-2211-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0−i3i31-1-221-100i3i3−i3−i30−2i2i0000000−ii−3−3330−i3i31-1000i−i3−3000000000000
χ5222-2-2-122-2-12-211-2-1-2211-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0−i3i31-1-221-100i3i3−i3−i302i−2i0000000i−i33−3−30−i3i31-1000−ii−33000000000000
χ5344444-2-4-44-2-244-2-200-2-2-2002-4-42000000000000000000022000000400-40000-2-2000000000000000000200000000000
χ5444444-2-4-44-2-244-2-200-2-2-2002-4-42000000000000000000022000000-4004000022000000000000000000-200000000000
χ554444-24-4-4-244-2-24-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-244-2-24-200-2-2-200-422-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-44-22-4-42-24-422-20024-4-20000000000000004-4-222-20000000000000000000000000-220000000000000000000
χ6244-4-44-24-44-22-4-42-2-4422-20024-4-2000000000000000-442-22-200000000000000000000000002-20000000000000000000
χ6344-4-44-2-444-22-4-42-20022-200-2-4420000000000000000000-2200000000004i−4i00000000000000000000000−2i2i000000000
χ6444-4-44-2-444-22-4-42-20022-200-2-4420000000000000000000-220000000000−4i4i000000000000000000000002i−2i000000000
χ6544-4-4-24-44-24-422-4-20022-20042-2-400004i−4i−4i4i−2i−2i2i2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ6644-4-4-24-44-24-422-4-20022-20042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ6744-4-4-2-24-4-2-2222214-4-1-11002-22-2−2i3−2i32i32i3000000000−2i32i3-22-22-1100i3i3−i3−i300000000000000000i3−i31-10000000000000000000
χ6844-4-4-2-24-4-2-2222214-4-1-11002-22-22i32i3−2i3−2i30000000002i3−2i3-22-22-1100−i3−i3i3i300000000000000000−i3i31-10000000000000000000
χ6944-4-4-2-24-4-2-222221-44-1-11002-22-2−2i3−2i32i32i30000000002i3−2i32-22-2-1100i3i3−i3−i300000000000000000−i3i3-110000000000000000000
χ7044-4-4-2-24-4-2-222221-44-1-11002-22-22i32i3−2i3−2i3000000000−2i32i32-22-2-1100−i3−i3i3i300000000000000000i3−i3-110000000000000000000
χ714-44-44400-4-444-4-44004-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-44400-4-444-4-44004-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-42-24-42-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i200000000−2i32i30000000000000000000006−60000000
χ744-44-44-200-42-24-42-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000002i3−2i3000000000000000000000−660000000
χ754-44-44-200-42-24-42-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i200000000−2i32i3000000000000000000000−660000000
χ764-44-44-200-42-24-42-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000002i3−2i30000000000000000000006−60000000
χ774-44-4-24002-44-22-4-200-222−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ784-44-4-24002-44-22-4-200-222−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ794-44-4-24002-44-22-4-200-2222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ804-44-4-24002-44-22-4-200-2222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ814-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-4-4-444400-44-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-44-24002-4-42-24-2002-220000006−6−66000023−23−2323000000000006−6−6600000022−220000−222−2000000000000000000000000
χ844-4-44-24002-4-42-24-2002-220000006−6−660000−232323−23000000000006−6−66000000−222200002−2−22000000000000000000000000
χ854-4-44-24002-4-42-24-2002-22000000−666−6000023−23−232300000000000−666−6000000−222200002−2−22000000000000000000000000
χ864-4-44-24002-4-42-24-2002-22000000−666−60000−232323−2300000000000−666−600000022−220000−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88-4-44444200-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-8-4-40044-4-4442002-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-40044-4-4442002-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-888-400-844-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-4200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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