Finite Group Databasebeta

← Group #11896062

Character table — Group #11896062

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order12223344666666344446668812121212242424244412121212121212121212121212122424242424244448812121212121224242424121212122444668121212121212242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-111-1-111-1-1111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111111111111111111-11-1-111-1-111-1-1-1-11111-11-11-1-11-1-1111111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1111-1-1
χ611111111111111111-1-1111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-111111-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11111111-1-1
χ9111111111111111-1-111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-111-11-1
χ10111111111111111-1-111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111111-1-111-1-11-11
χ11111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111111-1-1111111-1-1111-1-1111-1-1-1-1-111-1-1-1-11-11
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111-1-111-1-11111-11-1
χ13111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ14111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111111-11-111-1-111-1-11111-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-1
χ15111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-1-111-1-1-1-1-1-1-1-11-11-111111-1-1-1-111-1-111-1
χ16111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-111-1-11
χ17222222-2-22222222000022200-2-2-2-2000022222200000000-2-20000002-2-20022-2-2-2-2000000000000000000000002-2000
χ18222222-2-22222222000022200-2-2-2-2000022222200000000-2-2000000-2-2200-2-2-2-22200000000000000000000000-22000
χ19222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2002222-2-200000000000000000000000-22000
χ20222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-2000000-22200-2-22222000000000000000000000002-2000
χ2122222-122-12-122-1-12222-1-1-122-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-10202200-1-100-1-1-1-1-1-1-1-12020-1-10-1-100000000000
χ2222222-122-12-122-1-12222-1-1-122-12-12-1-1-1-1-2-21111-1-122-1-122-1-122-1-1-1-10-20-2-20011001111-1-1-1-1-20-201101100000000000
χ2322222-122-12-122-1-122-2-2-1-1-1-2-2-12-12111122-1-1-1-11122-1-1-2-2-1-1-2-21111020-2-200-1-1001111-1-11120-20-1-101100000000000
χ2422222-122-12-122-1-122-2-2-1-1-1-2-2-12-121111-2-211111122-1-1-2-2-1-1-2-211110-2022001100-1-1-1-1-1-111-2020110-1-100000000000
χ2522222-122-12-122-1-1-2-222-1-1-1-2-2-12-12111122-1-1-1-1-1-1-2-21122-1-1-2-21111020-2-200-1-100111111-1-1-2020110-1-100000000000
χ2622222-122-12-122-1-1-2-222-1-1-1-2-2-12-121111-2-21111-1-1-2-21122-1-1-2-211110-2022001100-1-1-1-111-1-120-20-1-101100000000000
χ2722222-122-12-122-1-1-2-2-2-2-1-1-122-12-12-1-1-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-10202200-1-100-1-1-1-11111-20-201101100000000000
χ2822222-122-12-122-1-1-2-2-2-2-1-1-122-12-12-1-1-1-1-2-2111111-2-211-2-2-1-122-1-1-1-10-20-2-2001100111111112020-1-10-1-100000000000
χ292222-12222-12-1-12-12222-1-1-1222-12-1222200000022-1-122-1-1-1-1-1-1-1-1-1-120200-1-100-1-10000-1-1-1-1020200200-1-1-1-1-1-100000
χ302222-12222-12-1-12-12222-1-1-1222-12-1222200000022-1-122-1-1-1-1-1-1-1-1-1-1-20-2001100110000-1-1-1-10-20-200-20011111100000
χ312222-12222-12-1-12-122-2-2-1-1-1-2-22-12-1-2-2-2-2000000-2-2-1-12211-1-111111120200-1-100-1-10000-1-111020-200-200-1-1111100000
χ322222-12222-12-1-12-122-2-2-1-1-1-2-22-12-1-2-2-2-2000000-2-2-1-12211-1-1111111-20-2001100110000-1-1110-2020020011-1-1-1-100000
χ332222-12222-12-1-12-1-2-222-1-1-1-2-22-12-1-2-2-2-20000002211-2-2-1-1-1-111111120200-1-100-1-1000011-1-10-20200-20011-1-11100000
χ342222-12222-12-1-12-1-2-222-1-1-1-2-22-12-1-2-2-2-20000002211-2-2-1-1-1-1111111-20-200110011000011-1-1020-200200-1-111-1-100000
χ352222-12222-12-1-12-1-2-2-2-2-1-1-1222-12-12222000000-2-211-2-211-1-1-1-1-1-1-1-120200-1-100-1-1000011110-20-2002001111-1-100000
χ362222-12222-12-1-12-1-2-2-2-2-1-1-1222-12-12222000000-2-211-2-211-1-1-1-1-1-1-1-1-20-20011001100001111020200-200-1-1-1-11100000
χ372-22-222-222-2-22-2-222i−2i2-2-2-222i−2i-2-2222i2i−2i−2i0000002-22i−2i2i−2i2-22-22i−2i2i2i−2i−2i0000000000000002i−2i2-200000000000000000000
χ382-22-222-222-2-22-2-222i−2i-22-2-22−2i2i-2-222−2i−2i2i2i000000-222i−2i2i−2i-222-2−2i2i−2i−2i2i2i0000000000000002i−2i-2200000000000000000000
χ392-22-222-222-2-22-2-22−2i2i2-2-2-22−2i2i-2-222−2i−2i2i2i0000002-2−2i2i−2i2i2-22-2−2i2i−2i−2i2i2i000000000000000−2i2i2-200000000000000000000
χ402-22-222-222-2-22-2-22−2i2i-22-2-222i−2i-2-2222i2i−2i−2i000000-22−2i2i−2i2i-222-22i−2i2i2i−2i−2i000000000000000−2i2i-2200000000000000000000
χ412-22-22-1-22-1-212-21-12i−2i2-211-12i−2i1-2-12−i−iii0033−3−3-112i−2i−ii2-2-112i−2i−i−iii00000003−300−i3−i3i3i3−ii-110000−i3i303−300000000000
χ422-22-22-1-22-1-212-21-12i−2i2-211-12i−2i1-2-12−i−iii00−3−333-112i−2i−ii2-2-112i−2i−i−iii0000000−3300i3i3−i3−i3−ii-110000i3−i30−3300000000000
χ432-22-22-1-22-1-212-21-12i−2i-2211-1−2i2i1-2-12ii−i−i0033−3−31-12i−2i−ii-22-11−2i2iii−i−i00000003−300i3i3−i3−i3−ii1-10000−i3i30−3300000000000
χ442-22-22-1-22-1-212-21-12i−2i-2211-1−2i2i1-2-12ii−i−i00−3−3331-12i−2i−ii-22-11−2i2iii−i−i0000000−3300−i3−i3i3i3−ii1-10000i3−i303−300000000000
χ452-22-22-1-22-1-212-21-1−2i2i2-211-1−2i2i1-2-12ii−i−i0033−3−3-11−2i2ii−i2-2-11−2i2iii−i−i00000003−300i3i3−i3−i3i−i-110000i3−i303−300000000000
χ462-22-22-1-22-1-212-21-1−2i2i2-211-1−2i2i1-2-12ii−i−i00−3−333-11−2i2ii−i2-2-11−2i2iii−i−i0000000−3300−i3−i3i3i3i−i-110000−i3i30−3300000000000
χ472-22-22-1-22-1-212-21-1−2i2i-2211-12i−2i1-2-12−i−iii0033−3−31-1−2i2ii−i-22-112i−2i−i−iii00000003−300−i3−i3i3i3i−i1-10000i3−i30−3300000000000
χ482-22-22-1-22-1-212-21-1−2i2i-2211-12i−2i1-2-12−i−iii00−3−3331-1−2i2ii−i-22-112i−2i−i−iii0000000−3300i3i3−i3−i3i−i1-10000−i3i303−300000000000
χ492-22-2-12-2221-2-11-2-12i−2i2-211-12i−2i-212-12i2i−2i−2i0000002-2−ii2i−2i-11-11−ii−i−iii000003−3003−30000−ii-11000000000−i3i33−3−i3i300000
χ502-22-2-12-2221-2-11-2-12i−2i2-211-12i−2i-212-12i2i−2i−2i0000002-2−ii2i−2i-11-11−ii−i−iii00000−3300−330000−ii-11000000000i3−i3−33i3−i300000
χ512-22-2-12-2221-2-11-2-12i−2i-2211-1−2i2i-212-1−2i−2i2i2i000000-22−ii2i−2i1-1-11i−iii−i−i000003−3003−30000−ii1-1000000000−i3i3−33i3−i300000
χ522-22-2-12-2221-2-11-2-12i−2i-2211-1−2i2i-212-1−2i−2i2i2i000000-22−ii2i−2i1-1-11i−iii−i−i00000−3300−330000−ii1-1000000000i3−i33−3−i3i300000
χ532-22-2-12-2221-2-11-2-1−2i2i2-211-1−2i2i-212-1−2i−2i2i2i0000002-2i−i−2i2i-11-11i−iii−i−i000003−3003−30000i−i-11000000000i3−i33−3i3−i300000
χ542-22-2-12-2221-2-11-2-1−2i2i2-211-1−2i2i-212-1−2i−2i2i2i0000002-2i−i−2i2i-11-11i−iii−i−i00000−3300−330000i−i-11000000000−i3i3−33−i3i300000
χ552-22-2-12-2221-2-11-2-1−2i2i-2211-12i−2i-212-12i2i−2i−2i000000-22i−i−2i2i1-1-11−ii−i−iii000003−3003−30000i−i1-1000000000i3−i3−33−i3i300000
χ562-22-2-12-2221-2-11-2-1−2i2i-2211-12i−2i-212-12i2i−2i−2i000000-22i−i−2i2i1-1-11−ii−i−iii00000−3300−330000i−i1-1000000000−i3i33−3i3−i300000
χ5744444-2-4-4-24-244-2-20000-2-2-2002-42-4000044-2-2-2-200000000220000000-40000022000000000000000000000000000000
χ5844444-2-4-4-24-244-2-20000-2-2-2002-42-40000-4-4222200000000220000000400000-2-2000000000000000000000000000000
χ594444-24-4-44-24-2-24-20000-2-2-200-42-420000000000000000002200000040-400-2-200220000000000000000000000000000
χ604444-24-4-44-24-2-24-20000-2-2-200-42-4200000000000000000022000000-404002200-2-20000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-2222200000022-2-2-2-2221122-1-1-1-100000000000000011-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-22222000000-2-22222-2-21122-1-1-1-1000000000000000-1-11100000000000000000000
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
χ714-44-4444-44-4-44-4-440000-4-440044-4-4000000000000000000-44000000000000000000000000000000000000000000000
χ724-44-44-24-4-2-424-42-2000022-200-242-40000002323−23−23000000002-20000000000000−2323000000000000000000000000000000
χ734-44-44-24-4-2-424-42-2000022-200-242-4000000−23−232323000000002-2000000000000023−23000000000000000000000000000000
χ744-44-4-244-442-4-22-4-2000022-2004-2-420000000000000000002-20000000000023−2300−23230000000000000000000000000000
χ754-44-4-244-442-4-22-4-2000022-2004-2-420000000000000000002-200000000000−23230023−230000000000000000000000000000
χ764-44-4-2-2-44-222-22214i−4i4-4-1-114i−4i22-2-2−2i−2i2i2i000000-22−2i2i−2i2i-221-1−2i2iii−i−i000000000000000i−i1-100000000000000000000
χ774-44-4-2-2-44-222-22214i−4i-44-1-11−4i4i22-2-22i2i−2i−2i0000002-2−2i2i−2i2i2-21-12i−2i−i−iii000000000000000i−i-1100000000000000000000
χ784-44-4-2-2-44-222-2221−4i4i4-4-1-11−4i4i22-2-22i2i−2i−2i000000-222i−2i2i−2i-221-12i−2i−i−iii000000000000000−ii1-100000000000000000000
χ794-44-4-2-2-44-222-2221−4i4i-44-1-114i−4i22-2-2−2i−2i2i2i0000002-22i−2i2i−2i2-21-1−2i2iii−i−i000000000000000−ii-1100000000000000000000
χ804-4-444400-4-4-4-444400004-4-400000000000000000000000000000000000−2i22i2000000−2i22i22i2−2i2000000000000000000000000
χ814-4-444400-4-4-4-444400004-4-4000000000000000000000000000000000002i2−2i20000002i2−2i2−2i22i2000000000000000000000000
χ824-4-444-2002-42-44-2-20000-222000000i6−i6−i6i60023−23−2323000000000000i6−i6−i6i60002i2−2i2000000−i2i2i2−i2000000000000000000000000
χ834-4-444-2002-42-44-2-20000-222000000i6−i6−i6i600−232323−23000000000000i6−i6−i6i6000−2i22i2000000i2−i2−i2i2000000000000000000000000
χ844-4-444-2002-42-44-2-20000-222000000−i6i6i6−i60023−23−2323000000000000−i6i6i6−i6000−2i22i2000000i2−i2−i2i2000000000000000000000000
χ854-4-444-2002-42-44-2-20000-222000000−i6i6i6−i600−232323−23000000000000−i6i6i6−i60002i2−2i2000000−i2i2i2−i2000000000000000000000000
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
χ908-88-8-4-48-8-444-44420000-2-2200-4-444000000000000000000-22000000000000000000000000000000000000000000000
χ918-8-88-4800-84-84-48-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-4200002-2-20000002i6−2i6−2i62i6000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4200002-2-2000000−2i62i62i6−2i6000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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