Finite Group Databasebeta

← Group #11889389

Character table — Group #11889389

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order122233446666663444466688121212122424242422666612121212121212121212242424242424444881212121212122424242412121212444481212121212121212242424448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-11111-1-1-1-1-1-11111-11-111-1-11111-1-111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11-11111-1-1-1-1-1-1111-1-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111-1-1111-1-111-1-111-1-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1111111-1-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-11-1-1-1-1111111111-1-1
χ9111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-111-11-1
χ10111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111-1-11111-1-11-11
χ11111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1111111-1-11111-1-11111-1-1-111-1-111-1-1-1-1-1-11-11
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1111111-1-1-1-11111-11-1
χ13111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11
χ14111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1111111-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-111-1
χ15111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-11111-1-111-1
χ16111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-111-1-11
χ17222222-2-22222222000022200-2-2-2-2000022222200000000-2-20000002-2-20022-2-2-2-2000000000000000000000002-2000
χ18222222-2-22222222000022200-2-2-2-2000022222200000000-2-2000000-22-200-2-222-2-200000000000000000000000-22000
χ19222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-220022-2-22200000000000000000000000-22000
χ20222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-2000000-22200-2-22222000000000000000000000002-2000
χ2122222-122-12-122-1-12222-1-1-122-122-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1002220000-1-1-1-1-1-1-1-1-1-120200-1-10000-1-10000000
χ2222222-122-12-122-1-12222-1-1-122-122-1-1-1-1-1-2-2111122-1-122-1-1-1-122-1-1-1-100-2-2-20000111111-1-1-1-1-20-200110000110000000
χ2322222-122-12-122-1-122-2-2-1-1-1-2-2-122-1111122-1-1-1-122-1-1-2-211-1-1-2-21111002-2-20000-1-11111-1-11120-200-1-10000110000000
χ2422222-122-12-122-1-122-2-2-1-1-1-2-2-122-11111-2-2111122-1-1-2-211-1-1-2-2111100-222000011-1-1-1-1-1-111-20200110000-1-10000000
χ2522222-122-12-122-1-1-2-222-1-1-1-2-2-122-1111122-1-1-1-1-2-21122-1-1-1-1-2-21111002-2-20000-1-1111111-1-1-20200110000-1-10000000
χ2622222-122-12-122-1-1-2-222-1-1-1-2-2-122-11111-2-21111-2-21122-1-1-1-1-2-2111100-222000011-1-1-1-111-1-120-200-1-10000110000000
χ2722222-122-12-122-1-1-2-2-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-2-211-2-211-1-122-1-1-1-1002220000-1-1-1-1-1-11111-20-200110000110000000
χ2822222-122-12-122-1-1-2-2-2-2-1-1-122-122-1-1-1-1-1-2-21111-2-211-2-211-1-122-1-1-1-100-2-2-20000111111111120200-1-10000-1-10000000
χ292222-12222-12-1-12-12222-1-1-1222-1-122222000000-1-122-1-122-1-1-1-1-1-1-1-122000-1-1-1-1000000-1-1-1-10202200-1-1-1-100-1-100000
χ302222-12222-12-1-12-12222-1-1-1222-1-122222000000-1-122-1-122-1-1-1-1-1-1-1-1-2-20001111000000-1-1-1-10-20-2-2001111001100000
χ312222-12222-12-1-12-122-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-12211-2-2-1-111111122000-1-1-1-1000000-1-1110-202-200-1-111001100000
χ322222-12222-12-1-12-122-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-12211-2-2-1-1111111-2-20001111000000-1-111020-220011-1-100-1-100000
χ332222-12222-12-1-12-1-2-222-1-1-1-2-22-1-12-2-2-2-200000011-2-2-1-122-1-111111122000-1-1-1-100000011-1-1020-2-20011-1-1001100000
χ342222-12222-12-1-12-1-2-222-1-1-1-2-22-1-12-2-2-2-200000011-2-2-1-122-1-1111111-2-2000111100000011-1-10-202200-1-11100-1-100000
χ352222-12222-12-1-12-1-2-2-2-2-1-1-1222-1-12222200000011-2-211-2-2-1-1-1-1-1-1-1-122000-1-1-1-100000011110-20-2200111100-1-100000
χ362222-12222-12-1-12-1-2-2-2-2-1-1-1222-1-12222200000011-2-211-2-2-1-1-1-1-1-1-1-1-2-2000111100000011110202-200-1-1-1-1001100000
χ372-2-22222-2-2-2-22-2222i−2i2-2-2-222i−2i2-22-22i2i−2i−2i0000002i−2i2i−2i2-22-22-22i−2i2i2i−2i−2i0000000000000002i−2i2-200000000000000000000
χ382-2-22222-2-2-2-22-2222i−2i-22-2-22−2i2i2-22-2−2i−2i2i2i0000002i−2i2i−2i-22-222-2−2i2i−2i−2i2i2i0000000000000002i−2i-2200000000000000000000
χ392-2-22222-2-2-2-22-222−2i2i2-2-2-22−2i2i2-22-2−2i−2i2i2i000000−2i2i−2i2i2-22-22-2−2i2i−2i−2i2i2i000000000000000−2i2i2-200000000000000000000
χ402-2-22222-2-2-2-22-222−2i2i-22-2-222i−2i2-22-22i2i−2i−2i000000−2i2i−2i2i-22-222-22i−2i2i2i−2i−2i000000000000000−2i2i-2200000000000000000000
χ412-2-222-12-21-212-2-1-12i−2i2-211-12i−2i-1-221−i−iii00−i3−i3i3i32i−2i−ii2-2-11-112i−2i−i−iii000000000−i3i333−3−3−ii-11000003−30000−i3i30000000
χ422-2-222-12-21-212-2-1-12i−2i2-211-12i−2i-1-221−i−iii00i3i3−i3−i32i−2i−ii2-2-11-112i−2i−i−iii000000000i3−i3−3−333−ii-1100000−330000i3−i30000000
χ432-2-222-12-21-212-2-1-12i−2i-2211-1−2i2i-1-221ii−i−i00−i3−i3i3i32i−2i−ii-221-1-11−2i2iii−i−i000000000−i3i3−3−333−ii1-1000003−30000i3−i30000000
χ442-2-222-12-21-212-2-1-12i−2i-2211-1−2i2i-1-221ii−i−i00i3i3−i3−i32i−2i−ii-221-1-11−2i2iii−i−i000000000i3−i333−3−3−ii1-100000−330000−i3i30000000
χ452-2-222-12-21-212-2-1-1−2i2i2-211-1−2i2i-1-221ii−i−i00−i3−i3i3i3−2i2ii−i2-2-11-11−2i2iii−i−i000000000−i3i3−3−333i−i-1100000−330000−i3i30000000
χ462-2-222-12-21-212-2-1-1−2i2i2-211-1−2i2i-1-221ii−i−i00i3i3−i3−i3−2i2ii−i2-2-11-11−2i2iii−i−i000000000i3−i333−3−3i−i-11000003−30000i3−i30000000
χ472-2-222-12-21-212-2-1-1−2i2i-2211-12i−2i-1-221−i−iii00−i3−i3i3i3−2i2ii−i-221-1-112i−2i−i−iii000000000−i3i333−3−3i−i1-100000−330000i3−i30000000
χ482-2-222-12-21-212-2-1-1−2i2i-2211-12i−2i-1-221−i−iii00i3i3−i3−i3−2i2ii−i-221-1-112i−2i−i−iii000000000i3−i3−3−333i−i1-1000003−30000−i3i30000000
χ492-2-22-122-2-21-2-112-12i−2i2-211-12i−2i21-1-22i2i−2i−2i000000−ii2i−2i-112-2-11−ii−i−iii000003−33−3000000−ii-110000000−i3i33−300−i3i300000
χ502-2-22-122-2-21-2-112-12i−2i2-211-12i−2i21-1-22i2i−2i−2i000000−ii2i−2i-112-2-11−ii−i−iii00000−33−33000000−ii-110000000i3−i3−3300i3−i300000
χ512-2-22-122-2-21-2-112-12i−2i-2211-1−2i2i21-1-2−2i−2i2i2i000000−ii2i−2i1-1-22-11i−iii−i−i000003−33−3000000−ii1-10000000−i3i3−3300i3−i300000
χ522-2-22-122-2-21-2-112-12i−2i-2211-1−2i2i21-1-2−2i−2i2i2i000000−ii2i−2i1-1-22-11i−iii−i−i00000−33−33000000−ii1-10000000i3−i33−300−i3i300000
χ532-2-22-122-2-21-2-112-1−2i2i2-211-1−2i2i21-1-2−2i−2i2i2i000000i−i−2i2i-112-2-11i−iii−i−i000003−33−3000000i−i-110000000i3−i33−300i3−i300000
χ542-2-22-122-2-21-2-112-1−2i2i2-211-1−2i2i21-1-2−2i−2i2i2i000000i−i−2i2i-112-2-11i−iii−i−i00000−33−33000000i−i-110000000−i3i3−3300−i3i300000
χ552-2-22-122-2-21-2-112-1−2i2i-2211-12i−2i21-1-22i2i−2i−2i000000i−i−2i2i1-1-22-11−ii−i−iii000003−33−3000000i−i1-10000000i3−i3−3300−i3i300000
χ562-2-22-122-2-21-2-112-1−2i2i-2211-12i−2i21-1-22i2i−2i−2i000000i−i−2i2i1-1-22-11−ii−i−iii00000−33−33000000i−i1-10000000−i3i33−300i3−i300000
χ5744444-2-4-4-24-244-2-20000-2-2-2002-4-42000044-2-2-2-2000000002200000000-4000000220000000000000000000000000000
χ5844444-2-4-4-24-244-2-20000-2-2-2002-4-420000-4-422220000000022000000004000000-2-20000000000000000000000000000
χ594444-24-4-44-24-2-24-20000-2-2-200-422-4000000000000000000220000004-4000-2-222000000000000000000000000000000
χ604444-24-4-44-24-2-24-20000-2-2-200-422-400000000000000000022000000-4400022-2-2000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21444411144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-22222000000-2-2-2-222221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-222220000002222-2-2-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4-4-411144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-44400-444-4-4-440000-44-400000000004-44-44-40000000000000000000000000000000000000000000000000000000
χ6644-4-44400-444-4-4-440000-44-40000000000-44-44-440000000000000000000000000000000000000000000000000000000
χ6744-4-44-20024-2-4-42-200002-220000006−66−64-4-22-220000000000006−66−6000000000006−66−6000000000000000000000000
χ6844-4-44-20024-2-4-42-200002-220000006−66−6-442-22-20000000000006−66−600000000000−66−66000000000000000000000000
χ6944-4-44-20024-2-4-42-200002-22000000−66−664-4-22-22000000000000−66−6600000000000−66−66000000000000000000000000
χ7044-4-44-20024-2-4-42-200002-22000000−66−66-442-22-2000000000000−66−66000000000006−66−6000000000000000000000000
χ714-44-444004-4-4-44-4400004-4-40000000000000000000000000000000000022−2200000022−22−2222000000000000000000000000
χ724-44-444004-4-4-44-4400004-4-400000000000000000000000000000000000−2222000000−222222−22000000000000000000000000
χ734-44-44-200-2-42-442-20000-222000000i6−i6−i6i600−2i32i32i3−2i3000000000000i6−i6−i6i6000−22220000002−2−22000000000000000000000000
χ744-44-44-200-2-42-442-20000-222000000i6−i6−i6i6002i3−2i3−2i32i3000000000000i6−i6−i6i600022−22000000−222−2000000000000000000000000
χ754-44-44-200-2-42-442-20000-222000000−i6i6i6−i600−2i32i32i3−2i3000000000000−i6i6i6−i600022−22000000−222−2000000000000000000000000
χ764-44-44-200-2-42-442-20000-222000000−i6i6i6−i6002i3−2i3−2i32i3000000000000−i6i6i6−i6000−22220000002−2−22000000000000000000000000
χ774-4-4444-44-4-4-44-4440000-4-4400-44-44000000000000000000-44000000000000000000000000000000000000000000000
χ784-4-444-2-442-424-4-2-2000022-20024-4-2000000−2i3−2i32i32i3000000002-20000000000000002i3−2i30000000000000000000000000000
χ794-4-444-2-442-424-4-2-2000022-20024-4-20000002i32i3−2i3−2i3000000002-2000000000000000−2i32i30000000000000000000000000000
χ804-4-44-24-44-42-4-224-2000022-200-4-2240000000000000000002-20000000000023−23−2323000000000000000000000000000000
χ814-4-44-24-44-42-4-224-2000022-200-4-2240000000000000000002-200000000000−232323−23000000000000000000000000000000
χ824-4-44-2-24-4222-22-214i−4i4-4-1-114i−4i-22-22−2i−2i2i2i000000−2i2i−2i2i-22-221-1−2i2iii−i−i000000000000000i−i1-100000000000000000000
χ834-4-44-2-24-4222-22-214i−4i-44-1-11−4i4i-22-222i2i−2i−2i000000−2i2i−2i2i2-22-21-12i−2i−i−iii000000000000000i−i-1100000000000000000000
χ844-4-44-2-24-4222-22-21−4i4i4-4-1-11−4i4i-22-222i2i−2i−2i0000002i−2i2i−2i-22-221-12i−2i−i−iii000000000000000−ii1-100000000000000000000
χ854-4-44-2-24-4222-22-21−4i4i-44-1-114i−4i-22-22−2i−2i2i2i0000002i−2i2i−2i2-22-21-1−2i2iii−i−i000000000000000−ii-1100000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-420000222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4800-8-4844-8-400004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-444420000-22-200000026−2626−26000000000000000000−66−66000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-444420000-22-2000000−2626−26260000000000000000006−66−6000000000000000000000000000000000000000
χ908-88-8-480084-84-4-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400-4444-44200002-2-20000002i6−2i6−2i62i6000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ928-88-8-4-400-4444-44200002-2-2000000−2i62i62i6−2i6000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ938-8-88-4-4-88444-44-420000-2-22004-44-4000000000000000000-22000000000000000000000000000000000000000000000

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