Finite Group Databasebeta

← Group #11895953

Character table — Group #11895953

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242444121212122661212121212122424242424244444488121212122424242466612122448121212121212122424446248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-111-1-111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-11-1-11-1-111-1-1-1-1-1-1111111-111-1-1-1-111111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-111-111-111-1-1111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1111-1-1-1-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-11-1-1-111111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1111-1-11-1-111-1-1-111111-11-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-111-1-1111111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-11111-1-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-111-11111-1-1-1-111
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-11111111-1-111-1-111-1-11-1-1-1-1-1-11-111
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111111-1-1-1111111-11-1-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2200-20022-2-200000000000000000-200002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2-200200-2-2-2-20000000000000000020000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-200222200000000000000000-20000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002-200200-2-22200000000000000000200002-20000
χ2122222-1222-1-122-1-122-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-10200200-1-1000000-1-1-1-1-120220000-1-1-1-1-100-1000
χ2222222-1222-1-122-1-122-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-10-200-20011000000-1-1-1-1-1-20-2-2000011111001000
χ2322222-1222-1-122-1-122-1-1-1-2-2-122-1-2-2-2-2000000-2-2-222-1-1-1-11111110200200-1-1000000111-1-1-202-20000-1-1-111001000
χ2422222-1222-1-122-1-122-1-1-1-2-2-122-1-2-2-2-2000000-2-2-222-1-1-1-11111110-200-20011000000111-1-120-220000111-1-100-1000
χ2522222-1222-1-122-1-1-2-2-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-10200200-1-100000011111-20-220000-111-1-1001000
χ2622222-1222-1-122-1-1-2-2-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-10-200-2001100000011111202-200001-1-11100-1000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000222-2-211-1-11111110200200-1-1000000-1-1-11120-2-20000-1111100-1000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000222-2-211-1-11111110-200-20011000000-1-1-111-202200001-1-1-1-1001000
χ292222-1222-122-1-12-122-1-1-1222-1-12-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-1202202200-1-1-1-1-1-12-1-1-1-10200-1-1-1-100000000000
χ302222-1222-122-1-12-122-1-1-1222-1-12-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-20-2-20-2-2001111112-1-1-1-10-200111100000000000
χ312222-1222-122-1-12-122-1-1-1-2-22-1-12111122-1-1-1-1-211-1-122-1-1-2-2111120-2-20-2-200-1-11111-211-1-10200-1-11100000000000
χ322222-1222-122-1-12-122-1-1-1-2-22-1-121111-2-21111-211-1-122-1-1-2-21111-20220220011-1-1-1-1-211-1-10-20011-1-100000000000
χ332222-1222-122-1-12-1-2-2-1-1-1222-1-12-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-120-2-202200-1-1-1-1-1-1-211110-200111100000000000
χ342222-1222-122-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-1-20220-2-200111111-211110200-1-1-1-100000000000
χ352222-1222-122-1-12-1-2-2-1-1-1-2-22-1-12111122-1-1-1-12-1-111-2-2-1-1-2-2111120220-2-200-1-111112-1-1110-20011-1-100000000000
χ362222-1222-122-1-12-1-2-2-1-1-1-2-22-1-121111-2-211112-1-111-2-2-1-1-2-21111-20-2-20220011-1-1-1-12-1-1110200-1-11100000000000
χ3722-2-222-2222-2-2-2-222-2-2-2200-22-2200000000000002-22-2-22000000002i−2i02i−2i00002i2i−2i−2i0002-20000002i−2i00000000000
χ3822-2-222-2222-2-2-2-222-2-2-2200-22-2200000000000002-22-2-2200000000−2i2i0−2i2i0000−2i−2i2i2i0002-2000000−2i2i00000000000
χ3922-2-222-2222-2-2-2-22-22-2-2200-22-220000000000000-22-22-22000000002i−2i0−2i2i0000−2i−2i2i2i000-220000002i−2i00000000000
χ4022-2-222-2222-2-2-2-22-22-2-2200-22-220000000000000-22-22-2200000000−2i2i02i−2i00002i2i−2i−2i000-22000000−2i2i00000000000
χ4122-2-2-12-22-12-211-2-12-211-100-2-112−i3−i3i3i30033−3−30−i3i3-112-21-100−i3−i3i3i3002i−2i02i−2i003−3−i−iii0−i3i3-1100003−3−ii00000000000
χ4222-2-2-12-22-12-211-2-12-211-100-2-112−i3−i3i3i300−3−3330−i3i3-112-21-100−i3−i3i3i300−2i2i0−2i2i00−33ii−i−i0−i3i3-110000−33i−i00000000000
χ4322-2-2-12-22-12-211-2-12-211-100-2-112i3i3−i3−i30033−3−30i3−i3-112-21-100i3i3−i3−i300−2i2i0−2i2i003−3ii−i−i0i3−i3-1100003−3i−i00000000000
χ4422-2-2-12-22-12-211-2-12-211-100-2-112i3i3−i3−i300−3−3330i3−i3-112-21-100i3i3−i3−i3002i−2i02i−2i00−33−i−iii0i3−i3-110000−33−ii00000000000
χ4522-2-2-12-22-12-211-2-1-2211-100-2-112−i3−i3i3i30033−3−30i3−i31-1-221-100−i3−i3i3i300−2i2i02i−2i003−3−i−iii0i3−i31-10000−33i−i00000000000
χ4622-2-2-12-22-12-211-2-1-2211-100-2-112−i3−i3i3i300−3−3330i3−i31-1-221-100−i3−i3i3i3002i−2i0−2i2i00−33ii−i−i0i3−i31-100003−3−ii00000000000
χ4722-2-2-12-22-12-211-2-1-2211-100-2-112i3i3−i3−i30033−3−30−i3i31-1-221-100i3i3−i3−i3002i−2i0−2i2i003−3ii−i−i0−i3i31-10000−33−ii00000000000
χ4822-2-2-12-22-12-211-2-1-2211-100-2-112i3i3−i3−i300−3−3330−i3i31-1-221-100i3i3−i3−i300−2i2i02i−2i00−33−i−iii0−i3i31-100003−3i−i00000000000
χ4944444-2-4-44-2-244-2-200-2-2-2002-4-4200000000000000000220000000400-400-2-2000000000000000000020000000000
χ5044444-2-4-44-2-244-2-200-2-2-2002-4-4200000000000000000220000000-400400220000000000000000000-20000000000
χ514444-24-4-4-244-2-24-200-2-2-200-422-4000044-2-2-2-2000000022000000-400000000220000000000000000000000000000
χ524444-24-4-4-244-2-24-200-2-2-200-422-40000-4-42222000000022000000400000000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-422-2-2-2-21122-1-1-1-10000000000000002-1-1110000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000004-2-222221122-1-1-1-1000000000000000-211-1-10000000000000000000
χ5744-4-4444-444-4-4-4-4400-4-44004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ5844-4-44-24-44-22-4-42-20022-200-2-44200000000000000000-220000000000000000000000000000000000023−2300000000
χ5944-4-44-24-44-22-4-42-20022-200-2-44200000000000000000-2200000000000000000000000000000000000−232300000000
χ6044-4-44-2-444-22-4-42-24-422-20024-4-200000000000004-4-222-2000000000000000000000000-220000000000000000000
χ6144-4-44-2-444-22-4-42-2-4422-20024-4-20000000000000-442-22-20000000000000000000000002-20000000000000000000
χ6244-4-4-244-4-24-422-4-20022-20042-2-40000002323−23−230000000-22000000000000000−23230000000000000000000000000000
χ6344-4-4-244-4-24-422-4-20022-20042-2-4000000−23−2323230000000-2200000000000000023−230000000000000000000000000000
χ6444-4-4-2-2-44-2-2222214-4-1-11002-22-2−2i3−2i32i32i30000000−2i32i3-22-22-1100i3i3−i3−i30000000000000000i3−i31-10000000000000000000
χ6544-4-4-2-2-44-2-2222214-4-1-11002-22-22i32i3−2i3−2i300000002i3−2i3-22-22-1100−i3−i3i3i30000000000000000−i3i31-10000000000000000000
χ6644-4-4-2-2-44-2-222221-44-1-11002-22-2−2i3−2i32i32i300000002i3−2i32-22-2-1100i3i3−i3−i30000000000000000−i3i3-110000000000000000000
χ6744-4-4-2-2-44-2-222221-44-1-11002-22-22i32i3−2i3−2i30000000−2i32i32-22-2-1100−i3−i3i3i30000000000000000i3−i3-110000000000000000000
χ684-44-44400-4-444-4-44004-4-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ694-44-44400-4-444-4-44004-4-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ704-44-44-200-42-24-42-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i20000000−2i32i300000000000000000000006−6000000
χ714-44-44-200-42-24-42-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000002i3−2i30000000000000000000000−66000000
χ724-44-44-200-42-24-42-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i20000000−2i32i30000000000000000000000−66000000
χ734-44-44-200-42-24-42-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000002i3−2i300000000000000000000006−6000000
χ744-44-4-24002-44-22-4-200-222−2i22i20000i2−i2i2−i20023−2323−23000000000−2i22i2i2−i2i2−i200000000000i6−i6i6−i6000000000000000000000000
χ754-44-4-24002-44-22-4-200-222−2i22i20000i2−i2i2−i200−2323−2323000000000−2i22i2i2−i2i2−i200000000000−i6i6−i6i6000000000000000000000000
χ764-44-4-24002-44-22-4-200-2222i2−2i20000−i2i2−i2i20023−2323−230000000002i2−2i2−i2i2−i2i200000000000−i6i6−i6i6000000000000000000000000
χ774-44-4-24002-44-22-4-200-2222i2−2i20000−i2i2−i2i200−2323−23230000000002i2−2i2−i2i2−i2i200000000000i6−i6i6−i6000000000000000000000000
χ784-4-444400-4-4-4-444400-44-400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ794-4-444400-4-4-4-444400-44-40000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ804-4-44-24002-4-42-24-2002-220000006−6−664-4-222-2000000000006−6−6600000000000−666−6000000000000000000000000
χ814-4-44-24002-4-42-24-2002-220000006−6−66-442-2-22000000000006−6−66000000000006−6−66000000000000000000000000
χ824-4-44-24002-4-42-24-2002-22000000−666−64-4-222-200000000000−666−6000000000006−6−66000000000000000000000000
χ834-4-44-24002-4-42-24-2002-22000000−666−6-442-2-2200000000000−666−600000000000−666−6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-48-8-4-44444200-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000000
χ868-88-8-4-40044-4-4442002-2-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ878-88-8-4-40044-4-4442002-2-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ888-8-888-400-844-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-4200-22-200000026−26−262600000000000000000−666−6000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-4200-22-2000000−262626−26000000000000000006−6−66000000000000000000000000000000000000000

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