Finite Group Databasebeta

← Group #11889699

Character table — Group #11889699

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order12223344666666223446668812121212242424242266666666121212121212242424242424244668812121212242424246612122444668121212121212242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-1-1-11111-1-1111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111111111111111111-1111-1-1-1-111-1-1-1-11111-11-11-1-11-1-1111111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-111-1-111-11-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-11-1-11111-1-111-1-111-1-11-11
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111111-1-111111111-1-1-111-1-1-1-111-1-111-1-1-1-11-11
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111111-1-11111-11-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1111-1-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1111-1-11111-1-1-111
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111111-1-1111111-1-1111-1-1111-1-1-111-1-1-1-1-1-1-111
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111-1-1-1-11111111-1-1
χ1311111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ1411111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-11111-1-11111-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-1
χ1511111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-1-1-1-1-11-11-111111-1-1-1-111-1-111-1
χ1611111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-111-1-11
χ17222222-2-22222220020022200-2-2-2-2000022222200000000-2-20000002-2-22200-2-2-2-2000000000000000000000002-2000
χ18222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-2-22-2-200-2-22200000000000000000000000-22000
χ19222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2220022-2-200000000000000000000000-22000
χ20222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-2000000-222-2-2002222000000000000000000000002-2000
χ2122222-1222-1-12-1222-122-1-1-122-12-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-10200022-1-100-1-1-1-1-1-1-1-12020-1-10-1-100000000000
χ2222222-1222-1-12-1222-122-1-1-122-12-12-1-1-1-1-2-2111122-1-122-1-1-1-122-1-1-1-10-2000-2-211001111-1-1-1-1-20-201101100000000000
χ2322222-1222-1-12-1222-1-2-2-1-1-1-2-2-12-12111122-1-1-1-122-1-1-2-211-1-1-2-2111102000-2-2-1-1001111-1-11120-20-1-101100000000000
χ2422222-1222-1-12-1222-1-2-2-1-1-1-2-2-12-121111-2-2111122-1-1-2-211-1-1-2-211110-2000221100-1-1-1-1-1-111-2020110-1-100000000000
χ2522222-1222-1-12-12-2-2-122-1-1-1-2-2-12-12111122-1-1-1-1-2-21122-1-1-1-1-2-2111102000-2-2-1-100111111-1-1-2020110-1-100000000000
χ2622222-1222-1-12-12-2-2-122-1-1-1-2-2-12-121111-2-21111-2-21122-1-1-1-1-2-211110-2000221100-1-1-1-111-1-120-20-1-101100000000000
χ2722222-1222-1-12-12-2-2-1-2-2-1-1-122-12-12-1-1-1-122-1-1-1-1-2-211-2-211-1-122-1-1-1-10200022-1-100-1-1-1-11111-20-201101100000000000
χ2822222-1222-1-12-12-2-2-1-2-2-1-1-122-12-12-1-1-1-1-2-21111-2-211-2-211-1-122-1-1-1-10-2000-2-21100111111112020-1-10-1-100000000000
χ292222-1222-122-12-122-122-1-1-1222-12-12222000000-1-122-1-122-1-1-1-1-1-1-1-1202-1-10000-1-10000-1-1-1-1020200200-1-1-1-1-1-100000
χ302222-1222-122-12-122-122-1-1-1222-12-12222000000-1-122-1-122-1-1-1-1-1-1-1-1-20-2110000110000-1-1-1-10-20-200-20011111100000
χ312222-1222-122-12-122-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000-1-12211-2-2-1-1111111202-1-10000-1-10000-1-111020-200-20011-1-11100000
χ322222-1222-122-12-122-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000-1-12211-2-2-1-1111111-20-2110000110000-1-1110-20200200-1-111-1-100000
χ332222-1222-122-12-1-2-2-122-1-1-1-2-22-12-1-2-2-2-200000011-2-2-1-122-1-1111111202-1-10000-1-1000011-1-10-20200-200-1-1111100000
χ342222-1222-122-12-1-2-2-122-1-1-1-2-22-12-1-2-2-2-200000011-2-2-1-122-1-1111111-20-211000011000011-1-1020-20020011-1-1-1-100000
χ352222-1222-122-12-1-2-2-1-2-2-1-1-1222-12-1222200000011-2-211-2-2-1-1-1-1-1-1-1-1202-1-10000-1-1000011110-20-2002001111-1-100000
χ362222-1222-122-12-1-2-2-1-2-2-1-1-1222-12-1222200000011-2-211-2-2-1-1-1-1-1-1-1-1-20-21100001100001111020200-200-1-1-1-11100000
χ372-22-222-22-2-22-2-222-222i−2i-22-22i−2i22-2-22i2i−2i−2i0000002-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i0000000000000002-22i−2i00000000000000000000
χ382-22-222-22-2-22-2-222-22−2i2i-22-2−2i2i22-2-2−2i−2i2i2i0000002-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000000000000002-2−2i2i00000000000000000000
χ392-22-222-22-2-22-2-22-2222i−2i-22-2−2i2i22-2-2−2i−2i2i2i000000-22-222i−2i2i−2i2-2−2i2i−2i−2i2i2i000000000000000-222i−2i00000000000000000000
χ402-22-222-22-2-22-2-22-222−2i2i-22-22i−2i22-2-22i2i−2i−2i000000-22-22−2i2i−2i2i2-22i−2i2i2i−2i−2i000000000000000-22−2i2i00000000000000000000
χ412-22-22-1-22-21-1-2122-2-12i−2i1-112i−2i-121-2−i−iii00−i3−i3i3i32-2-112i−2i−ii-112i−2i−i−iii0000000−i3i30033−3−3-11−ii0000−i3i303−300000000000
χ422-22-22-1-22-21-1-2122-2-12i−2i1-112i−2i-121-2−i−iii00i3i3−i3−i32-2-112i−2i−ii-112i−2i−i−iii0000000i3−i300−3−333-11−ii0000i3−i30−3300000000000
χ432-22-22-1-22-21-1-2122-2-1−2i2i1-11−2i2i-121-2ii−i−i00−i3−i3i3i32-2-11−2i2ii−i-11−2i2iii−i−i0000000−i3i300−3−333-11i−i0000−i3i30−3300000000000
χ442-22-22-1-22-21-1-2122-2-1−2i2i1-11−2i2i-121-2ii−i−i00i3i3−i3−i32-2-11−2i2ii−i-11−2i2iii−i−i0000000i3−i30033−3−3-11i−i0000i3−i303−300000000000
χ452-22-22-1-22-21-1-212-22-12i−2i1-11−2i2i-121-2ii−i−i00−i3−i3i3i3-221-12i−2i−ii-11−2i2iii−i−i0000000−i3i300−3−3331-1−ii0000i3−i303−300000000000
χ462-22-22-1-22-21-1-212-22-12i−2i1-11−2i2i-121-2ii−i−i00i3i3−i3−i3-221-12i−2i−ii-11−2i2iii−i−i0000000i3−i30033−3−31-1−ii0000−i3i30−3300000000000
χ472-22-22-1-22-21-1-212-22-1−2i2i1-112i−2i-121-2−i−iii00−i3−i3i3i3-221-1−2i2ii−i-112i−2i−i−iii0000000−i3i30033−3−31-1i−i0000i3−i30−3300000000000
χ482-22-22-1-22-21-1-212-22-1−2i2i1-112i−2i-121-2−i−iii00i3i3−i3−i3-221-1−2i2ii−i-112i−2i−i−iii0000000i3−i300−3−3331-1i−i0000−i3i303−300000000000
χ492-22-2-12-221-221-2-12-2-12i−2i1-112i−2i2-1-212i2i−2i−2i000000-112-2−ii2i−2i-11−ii−i−iii000−i3i30000−i3i30000-11−ii0000000003−3−i3i33−300000
χ502-22-2-12-221-221-2-12-2-12i−2i1-112i−2i2-1-212i2i−2i−2i000000-112-2−ii2i−2i-11−ii−i−iii000i3−i30000i3−i30000-11−ii000000000−33i3−i3−3300000
χ512-22-2-12-221-221-2-12-2-1−2i2i1-11−2i2i2-1-21−2i−2i2i2i000000-112-2i−i−2i2i-11i−iii−i−i000−i3i30000−i3i30000-11i−i000000000−33−i3i3−3300000
χ522-22-2-12-221-221-2-12-2-1−2i2i1-11−2i2i2-1-21−2i−2i2i2i000000-112-2i−i−2i2i-11i−iii−i−i000i3−i30000i3−i30000-11i−i0000000003−3i3−i33−300000
χ532-22-2-12-221-221-2-1-22-12i−2i1-11−2i2i2-1-21−2i−2i2i2i0000001-1-22−ii2i−2i-11i−iii−i−i000−i3i30000−i3i300001-1−ii0000000003−3i3−i3−3300000
χ542-22-2-12-221-221-2-1-22-12i−2i1-11−2i2i2-1-21−2i−2i2i2i0000001-1-22−ii2i−2i-11i−iii−i−i000i3−i30000i3−i300001-1−ii000000000−33−i3i33−300000
χ552-22-2-12-221-221-2-1-22-1−2i2i1-112i−2i2-1-212i2i−2i−2i0000001-1-22i−i−2i2i-11−ii−i−iii000−i3i30000−i3i300001-1i−i000000000−33i3−i33−300000
χ562-22-2-12-221-221-2-1-22-1−2i2i1-112i−2i2-1-212i2i−2i−2i0000001-1-22i−i−2i2i-11−ii−i−iii000i3−i30000i3−i300001-1i−i0000000003−3−i3i3−3300000
χ5744444-2-4-44-2-24-2400-200-2-2-2002-42-4000044-2-2-2-200000000220000000-40000022000000000000000000000000000000
χ5844444-2-4-44-2-24-2400-200-2-2-2002-42-40000-4-4222200000000220000000400000-2-2000000000000000000000000000000
χ594444-24-4-4-244-24-200-200-2-2-200-42-420000000000000000002200000040-4-2-20000220000000000000000000000000000
χ604444-24-4-4-244-24-200-200-2-2-200-42-4200000000000000000022000000-404220000-2-20000000000000000000000000000
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
χ6544-4-4440044-4-4-4-4004004-4-400000000004-44-44-40000000000000000000000000000000000000000000000000000000
χ6644-4-4440044-4-4-4-4004004-4-40000000000-44-44-440000000000000000000000000000000000000000000000000000000
χ6744-4-44-2004-22-42-400-200-2220000006−66−64-4-22-220000000000006−66−6000000000006−66−6000000000000000000000000
χ6844-4-44-2004-22-42-400-200-2220000006−66−6-442-22-20000000000006−66−600000000000−66−66000000000000000000000000
χ6944-4-44-2004-22-42-400-200-222000000−66−664-4-22-22000000000000−66−6600000000000−66−66000000000000000000000000
χ7044-4-44-2004-22-42-400-200-222000000−66−66-442-22-2000000000000−66−66000000000006−66−6000000000000000000000000
χ714-44-4444-4-4-44-4-4400400-44-400-4-444000000000000000000-44000000000000000000000000000000000000000000000
χ724-44-44-24-4-42-2-42400-2002-22002-4-24000000−2i3−2i32i32i3000000002-200000000000002i3−2i3000000000000000000000000000000
χ734-44-44-24-4-42-2-42400-2002-22002-4-240000002i32i3−2i3−2i3000000002-20000000000000−2i32i3000000000000000000000000000000
χ744-44-4-244-42-442-4-200-2002-2200-424-20000000000000000002-2000000000−2i32i300002i3−2i30000000000000000000000000000
χ754-44-4-244-42-442-4-200-2002-2200-424-20000000000000000002-20000000002i3−2i30000−2i32i30000000000000000000000000000
χ764-44-4-2-2-4422-222-24-414i−4i-11-14i−4i-2-222−2i−2i2i2i000000-22-22−2i2i−2i2i1-1−2i2iii−i−i0000000000000001-1i−i00000000000000000000
χ774-44-4-2-2-4422-222-24-41−4i4i-11-1−4i4i-2-2222i2i−2i−2i000000-22-222i−2i2i−2i1-12i−2i−i−iii0000000000000001-1−ii00000000000000000000
χ784-44-4-2-2-4422-222-2-4414i−4i-11-1−4i4i-2-2222i2i−2i−2i0000002-22-2−2i2i−2i2i1-12i−2i−i−iii000000000000000-11i−i00000000000000000000
χ794-44-4-2-2-4422-222-2-441−4i4i-11-14i−4i-2-222−2i−2i2i2i0000002-22-22i−2i2i−2i1-1−2i2iii−i−i000000000000000-11−ii00000000000000000000
χ804-4-444400-4-4-444-400400-4-44000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ814-4-444400-4-4-444-400400-4-440000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ824-4-444-200-4224-2-400-20022-2000000i6−i6−i6i600−2i32i32i3−2i3000000000000i6−i6−i6i600000−222200002−2−22000000000000000000000000
χ834-4-444-200-4224-2-400-20022-2000000i6−i6−i6i6002i3−2i3−2i32i3000000000000i6−i6−i6i60000022−220000−222−2000000000000000000000000
χ844-4-444-200-4224-2-400-20022-2000000−i6i6i6−i600−2i32i32i3−2i3000000000000−i6i6i6−i60000022−220000−222−2000000000000000000000000
χ854-4-444-200-4224-2-400-20022-2000000−i6i6i6−i6002i3−2i3−2i32i3000000000000−i6i6i6−i600000−222200002−2−22000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400200222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4800-48-84-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400-4-44444002002-2-200000026−2626−26000000000000000000−66−66000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444002002-2-2000000−2626−26260000000000000000006−66−6000000000000000000000000000000000000000
χ908-88-8-4-48-844-444-400200-22-20044-4-4000000000000000000-22000000000000000000000000000000000000000000000
χ918-8-88-48004-8-8-48400-40044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-4-4400200-2-220000002i6−2i6−2i62i6000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ938-8-88-4-400444-4-4400200-2-22000000−2i62i62i6−2i6000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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