Finite Group Databasebeta

← Group #11895759

Character table — Group #11895759

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order122233446666662234466688121212122424242444121212126666121212121212242424242424444881212121212122424242466121222446666812121212242444248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-11111-1-1-1-1111111111-11-111-1-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111111111111111111-11-1-1-1-11111-1-1-1-11111-11-11-1-111111-1-111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-111-11-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1111-1-11111-1-11-11
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1111-1-11111111111-1-11-1-1111-1-1-111-1-1-1-1-1-11-11
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111111-1-1-1-11111-11-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-1-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1111-1-111-1-1-111
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111111111-1-111-111-1-1-111-1-1-111-1-1-1-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111111111-1-1
χ1311111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ1411111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111-11-11111-1-1-1-11111-1-1-1-1-11-11-1-111-111-1-1-1-1-1-111-1
χ1511111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-11-1-11111-1-111-1
χ1611111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111-1-11
χ17222222-2-22222220020022200-2-2-2-2000022222200000000-2-20000002-2-200-2-222-2-2000000000000000000000002-2000
χ18222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-2-2200-2-2-2-22200000000000000000000000-22000
χ19222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2002222-2-200000000000000000000000-22000
χ20222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-2000000-2220022-2-222000000000000000000000002-2000
χ2122222-1222-12-1-1222-122-1-1-1222-12-1222200000022-1-1-1-122-1-1-1-1-1-1-1-12020000-1-1-1-10000-1-1-1-1020200-1-12-1-100-1-100000
χ2222222-1222-12-1-1222-122-1-1-1222-12-1222200000022-1-1-1-122-1-1-1-1-1-1-1-1-20-2000011110000-1-1-1-10-20-20011-211001100000
χ2322222-1222-12-1-1222-1-2-2-1-1-1-2-22-12-1-2-2-2-200000022-1-111-2-2-1-11111112020000-1-1-1-10000-1-1110-2020011-2-1-1001100000
χ2422222-1222-12-1-1222-1-2-2-1-1-1-2-22-12-1-2-2-2-200000022-1-111-2-2-1-1111111-20-2000011110000-1-111020-200-1-121100-1-100000
χ2522222-1222-12-1-12-2-2-122-1-1-1-2-22-12-1-2-2-2-2000000-2-211-1-122-1-11111112020000-1-1-1-1000011-1-1020-200-1-1-211001100000
χ2622222-1222-12-1-12-2-2-122-1-1-1-2-22-12-1-2-2-2-2000000-2-211-1-122-1-1111111-20-200001111000011-1-10-20200112-1-100-1-100000
χ2722222-1222-12-1-12-2-2-1-2-2-1-1-1222-12-12222000000-2-21111-2-2-1-1-1-1-1-1-1-12020000-1-1-1-1000011110-20-2001121100-1-100000
χ2822222-1222-12-1-12-2-2-1-2-2-1-1-1222-12-12222000000-2-21111-2-2-1-1-1-1-1-1-1-1-20-20000111100001111020200-1-1-2-1-1001100000
χ292222-1222-12-122-122-122-1-1-122-12-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-102022-1-10000-1-1-1-1-1-1-1-12020-1-100000-1-10000000
χ302222-1222-12-122-122-122-1-1-122-12-12-1-1-1-1-2-21111-1-12222-1-1-1-122-1-1-1-10-20-2-21100001111-1-1-1-1-20-201100000110000000
χ312222-1222-12-122-122-1-2-2-1-1-1-2-2-12-12111122-1-1-1-1-1-122-2-211-1-1-2-21111020-2-2-1-100001111-1-111-20201100000-1-10000000
χ322222-1222-12-122-122-1-2-2-1-1-1-2-2-12-121111-2-21111-1-122-2-211-1-1-2-211110-2022110000-1-1-1-1-1-11120-20-1-100000110000000
χ332222-1222-12-122-1-2-2-122-1-1-1-2-2-12-12111122-1-1-1-111-2-222-1-1-1-1-2-21111020-2-2-1-10000111111-1-120-20-1-100000110000000
χ342222-1222-12-122-1-2-2-122-1-1-1-2-2-12-121111-2-2111111-2-222-1-1-1-1-2-211110-2022110000-1-1-1-111-1-1-20201100000-1-10000000
χ352222-1222-12-122-1-2-2-1-2-2-1-1-122-12-12-1-1-1-122-1-1-1-111-2-2-2-211-1-122-1-1-1-102022-1-10000-1-1-1-11111-20-201100000110000000
χ362222-1222-12-122-1-2-2-1-2-2-1-1-122-12-12-1-1-1-1-2-2111111-2-2-2-211-1-122-1-1-1-10-20-2-2110000111111112020-1-100000-1-10000000
χ3722-2-222-2222-2-2-2-22-222i−2i-22-22i−2i-2-2222i2i−2i−2i0000002-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i0000000000000002-22i−2i00000000000000000000
χ3822-2-222-2222-2-2-2-22-22−2i2i-22-2−2i2i-2-222−2i−2i2i2i0000002-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000000000000002-2−2i2i00000000000000000000
χ3922-2-222-2222-2-2-2-2-2222i−2i-22-2−2i2i-2-222−2i−2i2i2i000000-22-222i−2i2i−2i2-2−2i2i−2i−2i2i2i000000000000000-222i−2i00000000000000000000
χ4022-2-222-2222-2-2-2-2-222−2i2i-22-22i−2i-2-2222i2i−2i−2i000000-22-22−2i2i−2i2i2-22i−2i2i2i−2i−2i000000000000000-22−2i2i00000000000000000000
χ4122-2-22-1-222-1-211-22-2-12i−2i1-112i−2i-212-12i2i−2i−2i0000002-2-11−ii2i−2i-11−ii−i−iii00000003−33−30000-11−ii000000−i3i303−300−i3i300000
χ4222-2-22-1-222-1-211-22-2-12i−2i1-112i−2i-212-12i2i−2i−2i0000002-2-11−ii2i−2i-11−ii−i−iii0000000−33−330000-11−ii000000i3−i30−3300i3−i300000
χ4322-2-22-1-222-1-211-22-2-1−2i2i1-11−2i2i-212-1−2i−2i2i2i0000002-2-11i−i−2i2i-11i−iii−i−i00000003−33−30000-11i−i000000i3−i303−300i3−i300000
χ4422-2-22-1-222-1-211-22-2-1−2i2i1-11−2i2i-212-1−2i−2i2i2i0000002-2-11i−i−2i2i-11i−iii−i−i0000000−33−330000-11i−i000000−i3i30−3300−i3i300000
χ4522-2-22-1-222-1-211-2-22-12i−2i1-11−2i2i-212-1−2i−2i2i2i000000-221-1−ii2i−2i-11i−iii−i−i00000003−33−300001-1−ii000000−i3i30−3300i3−i300000
χ4622-2-22-1-222-1-211-2-22-12i−2i1-11−2i2i-212-1−2i−2i2i2i000000-221-1−ii2i−2i-11i−iii−i−i0000000−33−3300001-1−ii000000i3−i303−300−i3i300000
χ4722-2-22-1-222-1-211-2-22-1−2i2i1-112i−2i-212-12i2i−2i−2i000000-221-1i−i−2i2i-11−ii−i−iii00000003−33−300001-1i−i000000i3−i30−3300−i3i300000
χ4822-2-22-1-222-1-211-2-22-1−2i2i1-112i−2i-212-12i2i−2i−2i000000-221-1i−i−2i2i-11−ii−i−iii0000000−33−3300001-1i−i000000−i3i303−300i3−i300000
χ4922-2-2-12-22-121-2-212-2-12i−2i1-112i−2i1-2-12−i−iii0033−3−3-112-22i−2i−ii-112i−2i−i−iii000003−30000−i3−i3i3i3-11−ii0000−i3i3000003−30000000
χ5022-2-2-12-22-121-2-212-2-12i−2i1-112i−2i1-2-12−i−iii00−3−333-112-22i−2i−ii-112i−2i−i−iii00000−330000i3i3−i3−i3-11−ii0000i3−i300000−330000000
χ5122-2-2-12-22-121-2-212-2-1−2i2i1-11−2i2i1-2-12ii−i−i0033−3−3-112-2−2i2ii−i-11−2i2iii−i−i000003−30000i3i3−i3−i3-11i−i0000i3−i3000003−30000000
χ5222-2-2-12-22-121-2-212-2-1−2i2i1-11−2i2i1-2-12ii−i−i00−3−333-112-2−2i2ii−i-11−2i2iii−i−i00000−330000−i3−i3i3i3-11i−i0000−i3i300000−330000000
χ5322-2-2-12-22-121-2-21-22-12i−2i1-11−2i2i1-2-12ii−i−i0033−3−31-1-222i−2i−ii-11−2i2iii−i−i000003−30000i3i3−i3−i31-1−ii0000−i3i300000−330000000
χ5422-2-2-12-22-121-2-21-22-12i−2i1-11−2i2i1-2-12ii−i−i00−3−3331-1-222i−2i−ii-11−2i2iii−i−i00000−330000−i3−i3i3i31-1−ii0000i3−i3000003−30000000
χ5522-2-2-12-22-121-2-21-22-1−2i2i1-112i−2i1-2-12−i−iii0033−3−31-1-22−2i2ii−i-112i−2i−i−iii000003−30000−i3−i3i3i31-1i−i0000i3−i300000−330000000
χ5622-2-2-12-22-121-2-21-22-1−2i2i1-112i−2i1-2-12−i−iii00−3−3331-1-22−2i2ii−i-112i−2i−i−iii00000−330000i3i3−i3−i31-1i−i0000−i3i3000003−30000000
χ5744444-2-4-44-24-2-2400-200-2-2-200-42-420000000000000000002200000040-40000-2-2220000000000000000000000000000
χ5844444-2-4-44-24-2-2400-200-2-2-200-42-4200000000000000000022000000-404000022-2-20000000000000000000000000000
χ594444-24-4-4-24-244-200-200-2-2-2002-42-4000044-2-2-2-200000000220000000-40002200000000000000000000000000000000
χ604444-24-4-4-24-244-200-200-2-2-2002-42-40000-4-42222000000002200000004000-2-200000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24414411144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-22222000000-2-2-2-222221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-222220000002222-2-2-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-4444-444-4-4-4-400400-44-40044-4-4000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-44-2-422-400-2002-22004-2-420000000000000000002-2000000000000023−23−23230000000000000000000000000000
χ6744-4-44-24-44-2-422-400-2002-22004-2-420000000000000000002-20000000000000−232323−230000000000000000000000000000
χ6844-4-4-244-4-242-4-4200-2002-2200-242-40000002323−23−23000000002-200000000000−232300000000000000000000000000000000
χ6944-4-4-244-4-242-4-4200-2002-2200-242-4000000−23−232323000000002-20000000000023−2300000000000000000000000000000000
χ7044-4-4-2-2-44-2-222224-414i−4i-11-14i−4i22-2-2−2i−2i2i2i000000-22-22−2i2i−2i2i1-1−2i2iii−i−i0000000000000001-1i−i00000000000000000000
χ7144-4-4-2-2-44-2-222224-41−4i4i-11-1−4i4i22-2-22i2i−2i−2i000000-22-222i−2i2i−2i1-12i−2i−i−iii0000000000000001-1−ii00000000000000000000
χ7244-4-4-2-2-44-2-22222-4414i−4i-11-1−4i4i22-2-22i2i−2i−2i0000002-22-2−2i2i−2i2i1-12i−2i−i−iii000000000000000-11i−i00000000000000000000
χ7344-4-4-2-2-44-2-22222-441−4i4i-11-14i−4i22-2-2−2i−2i2i2i0000002-22-22i−2i2i−2i1-1−2i2iii−i−i000000000000000-11−ii00000000000000000000
χ744-44-44400-4-4-44-4400400-4-4400000000004-44-44-40000000000000000000000000000000000000000000000000000000
χ754-44-44400-4-4-44-4400400-4-440000000000-44-44-440000000000000000000000000000000000000000000000000000000
χ764-44-4-24002-424-4-200-20022-2000000i6−i6i6−i64-4-22-22000000000000i6−i6i6−i600000000000i6−i6i6−i6000000000000000000000000
χ774-44-4-24002-424-4-200-20022-2000000i6−i6i6−i6-442-22-2000000000000i6−i6i6−i600000000000−i6i6−i6i6000000000000000000000000
χ784-44-4-24002-424-4-200-20022-2000000−i6i6−i6i64-4-22-22000000000000−i6i6−i6i600000000000−i6i6−i6i6000000000000000000000000
χ794-44-4-24002-424-4-200-20022-2000000−i6i6−i6i6-442-22-2000000000000−i6i6−i6i600000000000i6−i6i6−i6000000000000000000000000
χ804-4-444400-4-44-44-4004004-4-40000000000000000000000000000000000022−2200000022−22−2222000000000000000000000000
χ814-4-444400-4-44-44-4004004-4-400000000000000000000000000000000000−2222000000−222222−22000000000000000000000000
χ824-4-44-24002-4-2-44200-200-2220000006−6−660023−23−23230000000000006−6−6600022−22000000−222−2000000000000000000000000
χ834-4-44-24002-4-2-44200-200-2220000006−6−6600−232323−230000000000006−6−66000−22220000002−2−22000000000000000000000000
χ844-4-44-24002-4-2-44200-200-222000000−666−60023−23−2323000000000000−666−6000−22220000002−2−22000000000000000000000000
χ854-4-44-24002-4-2-44200-200-222000000−666−600−232323−23000000000000−666−600022−22000000−222−2000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400200222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4-48-8-4-4444400200-22-200-4-444000000000000000000-22000000000000000000000000000000000000000000000
χ888-88-88-400-84-8-44800-40044-400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400444-44-400200-2-220000002i6−2i62i6−2i6000000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ908-88-8-4-400444-44-400200-2-22000000−2i62i6−2i62i6000000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ918-8-888-400-8484-4-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44002002-2-200000026−26−2626000000000000000000−666−6000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44002002-2-2000000−262626−260000000000000000006−6−66000000000000000000000000000000000000000

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