Finite Group Databasebeta

← Group #11889235

Character table — Group #11889235

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order12223344666666223446668812121212242424244412121212666612121212121224242424242424466881212121224242424661212444481212121212121212242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-11-11-111-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-111-1-1-1-11111-1-1-1-111111-11-11-1-111-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1111-1-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1-11111-1-111-1-1-111
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111111111111-1-11-1-11-111-1-1-1-111-1-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111111-1-1-1-111111-1-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-111-11111-1-1-1-1-1-111-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11111111111-1-111-111-1-1-1-11111-1-1-1-1-1-11-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-1-1-111111111-11-1
χ1311111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11
χ1411111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1-111-1-111-1-1-1-111-1
χ1511111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-111-1
χ1611111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-111-1-11
χ17222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-22-2-2-200-2-222000000000000000000000002-2000
χ18222222-2-22222220020022200-2-2-2-2000022222200000000-2-2000000-2-22-2-20022-2-200000000000000000000000-22000
χ19222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-22200-2-22200000000000000000000000-22000
χ20222222-2-22222220020022200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-22220022-2-2000000000000000000000002-2000
χ2122222-122-12-12-1222-122-1-1-122-122-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1200-1-1220000-1-1-1-1-1-1-1-102020-1-100-1-1000000000
χ2222222-122-12-12-1222-122-1-1-122-122-1-1-1-1-1-2-2111122-1-1-1-122-1-122-1-1-1-1-20011-2-200001111-1-1-1-10-20-20110011000000000
χ2322222-122-12-12-1222-1-2-2-1-1-1-2-2-122-1111122-1-1-1-122-1-111-2-2-1-1-2-21111200-1-1-2-200001111-1-111020-201100-1-1000000000
χ2422222-122-12-12-1222-1-2-2-1-1-1-2-2-122-11111-2-2111122-1-111-2-2-1-1-2-21111-20011220000-1-1-1-1-1-1110-2020-1-10011000000000
χ2522222-122-12-12-12-2-2-122-1-1-1-2-2-122-1111122-1-1-1-1-2-211-1-122-1-1-2-21111200-1-1-2-20000111111-1-10-2020-1-10011000000000
χ2622222-122-12-12-12-2-2-122-1-1-1-2-2-122-11111-2-21111-2-211-1-122-1-1-2-21111-20011220000-1-1-1-111-1-1020-201100-1-1000000000
χ2722222-122-12-12-12-2-2-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-2-21111-2-2-1-122-1-1-1-1200-1-1220000-1-1-1-111110-20-20110011000000000
χ2822222-122-12-12-12-2-2-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-2-21111-2-2-1-122-1-1-1-1-20011-2-200001111111102020-1-100-1-1000000000
χ292222-12222-12-12-122-122-1-1-1222-1-122222000000-1-12222-1-1-1-1-1-1-1-1-1-10220000-1-1-1-10000-1-1-1-12020200-1-100-1-1-1-100000
χ302222-12222-12-12-122-122-1-1-1222-1-122222000000-1-12222-1-1-1-1-1-1-1-1-1-10-2-2000011110000-1-1-1-1-20-20-2001100111100000
χ312222-12222-12-12-122-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-122-2-211-1-11111110220000-1-1-1-10000-1-11120-20-2001100-1-11100000
χ322222-12222-12-12-122-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000-1-122-2-211-1-11111110-2-2000011110000-1-111-2020200-1-10011-1-100000
χ332222-12222-12-12-1-2-2-122-1-1-1-2-22-1-12-2-2-2-200000011-2-222-1-1-1-11111110220000-1-1-1-1000011-1-1-2020-200-1-100111100000
χ342222-12222-12-12-1-2-2-122-1-1-1-2-22-1-12-2-2-2-200000011-2-222-1-1-1-11111110-2-200001111000011-1-120-202001100-1-1-1-100000
χ352222-12222-12-12-1-2-2-1-2-2-1-1-1222-1-12222200000011-2-2-2-211-1-1-1-1-1-1-1-10220000-1-1-1-100001111-20-20200110011-1-100000
χ362222-12222-12-12-1-2-2-1-2-2-1-1-1222-1-12222200000011-2-2-2-211-1-1-1-1-1-1-1-10-2-200001111000011112020-200-1-100-1-11100000
χ372-22-2222-2-2-2-222-22-222i−2i-22-22i−2i2-22-22i2i−2i−2i0000002-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i0000000000000002-22i−2i00000000000000000000
χ382-22-2222-2-2-2-222-22-22−2i2i-22-2−2i2i2-22-2−2i−2i2i2i0000002-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000000000000002-2−2i2i00000000000000000000
χ392-22-2222-2-2-2-222-2-2222i−2i-22-2−2i2i2-22-2−2i−2i2i2i000000-22-222i−2i2i−2i2-2−2i2i−2i−2i2i2i000000000000000-222i−2i00000000000000000000
χ402-22-2222-2-2-2-222-2-222−2i2i-22-22i−2i2-22-22i2i−2i−2i000000-22-22−2i2i−2i2i2-22i−2i2i2i−2i−2i000000000000000-22−2i2i00000000000000000000
χ412-22-22-12-21-212-1-22-2-12i−2i1-112i−2i-1-221−i−iii00−i3−i3i3i32-2-11−ii2i−2i-112i−2i−i−iii000−i3i300000033−3−3-11−ii000003−300−i3i3000000000
χ422-22-22-12-21-212-1-22-2-12i−2i1-112i−2i-1-221−i−iii00i3i3−i3−i32-2-11−ii2i−2i-112i−2i−i−iii000i3−i3000000−3−333-11−ii00000−3300i3−i3000000000
χ432-22-22-12-21-212-1-22-2-1−2i2i1-11−2i2i-1-221ii−i−i00−i3−i3i3i32-2-11i−i−2i2i-11−2i2iii−i−i000−i3i3000000−3−333-11i−i00000−3300−i3i3000000000
χ442-22-22-12-21-212-1-22-2-1−2i2i1-11−2i2i-1-221ii−i−i00i3i3−i3−i32-2-11i−i−2i2i-11−2i2iii−i−i000i3−i300000033−3−3-11i−i000003−300i3−i3000000000
χ452-22-22-12-21-212-1-2-22-12i−2i1-11−2i2i-1-221ii−i−i00−i3−i3i3i3-221-1−ii2i−2i-11−2i2iii−i−i000−i3i3000000−3−3331-1−ii000003−300i3−i3000000000
χ462-22-22-12-21-212-1-2-22-12i−2i1-11−2i2i-1-221ii−i−i00i3i3−i3−i3-221-1−ii2i−2i-11−2i2iii−i−i000i3−i300000033−3−31-1−ii00000−3300−i3i3000000000
χ472-22-22-12-21-212-1-2-22-1−2i2i1-112i−2i-1-221−i−iii00−i3−i3i3i3-221-1i−i−2i2i-112i−2i−i−iii000−i3i300000033−3−31-1i−i00000−3300i3−i3000000000
χ482-22-22-12-21-212-1-2-22-1−2i2i1-112i−2i-1-221−i−iii00i3i3−i3−i3-221-1i−i−2i2i-112i−2i−i−iii000i3−i3000000−3−3331-1i−i000003−300−i3i3000000000
χ492-22-2-122-2-21-2-1212-2-12i−2i1-112i−2i21-1-22i2i−2i−2i000000-112-22i−2i−ii-11−ii−i−iii00000003−33−30000-11−ii0000000−i3i3003−3−i3i300000
χ502-22-2-122-2-21-2-1212-2-12i−2i1-112i−2i21-1-22i2i−2i−2i000000-112-22i−2i−ii-11−ii−i−iii0000000−33−330000-11−ii0000000i3−i300−33i3−i300000
χ512-22-2-122-2-21-2-1212-2-1−2i2i1-11−2i2i21-1-2−2i−2i2i2i000000-112-2−2i2ii−i-11i−iii−i−i00000003−33−30000-11i−i0000000i3−i3003−3i3−i300000
χ522-22-2-122-2-21-2-1212-2-1−2i2i1-11−2i2i21-1-2−2i−2i2i2i000000-112-2−2i2ii−i-11i−iii−i−i0000000−33−330000-11i−i0000000−i3i300−33−i3i300000
χ532-22-2-122-2-21-2-121-22-12i−2i1-11−2i2i21-1-2−2i−2i2i2i0000001-1-222i−2i−ii-11i−iii−i−i00000003−33−300001-1−ii0000000−i3i300−33i3−i300000
χ542-22-2-122-2-21-2-121-22-12i−2i1-11−2i2i21-1-2−2i−2i2i2i0000001-1-222i−2i−ii-11i−iii−i−i0000000−33−3300001-1−ii0000000i3−i3003−3−i3i300000
χ552-22-2-122-2-21-2-121-22-1−2i2i1-112i−2i21-1-22i2i−2i−2i0000001-1-22−2i2ii−i-11−ii−i−iii00000003−33−300001-1i−i0000000i3−i300−33−i3i300000
χ562-22-2-122-2-21-2-121-22-1−2i2i1-112i−2i21-1-22i2i−2i−2i0000001-1-22−2i2ii−i-11−ii−i−iii0000000−33−3300001-1i−i0000000−i3i3003−3i3−i300000
χ5744444-2-4-4-24-24-2400-200-2-2-2002-4-42000044-2-2-2-20000000022000000-400220000000000000000000000000000000000
χ5844444-2-4-4-24-24-2400-200-2-2-2002-4-420000-4-422220000000022000000400-2-20000000000000000000000000000000000
χ594444-24-4-44-24-24-200-200-2-2-200-422-40000000000000000002200000004-4000022-2-20000000000000000000000000000
χ604444-24-4-44-24-24-200-200-2-2-200-422-4000000000000000000220000000-440000-2-2220000000000000000000000000000
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
χ6544-4-444004-4-4-4-4400400-4-440000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000000
χ6644-4-444004-4-4-4-4400400-4-4400000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000000
χ6744-4-44-200-2-42-42400-20022-2000000i6−i6i6−i60023−2323−23000000000000i6−i6i6−i600000−2i22i20000i2−i2i2−i2000000000000000000000000
χ6844-4-44-200-2-42-42400-20022-2000000i6−i6i6−i600−2323−2323000000000000i6−i6i6−i6000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ6944-4-44-200-2-42-42400-20022-2000000−i6i6−i6i60023−2323−23000000000000−i6i6−i6i6000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ7044-4-44-200-2-42-42400-20022-2000000−i6i6−i6i600−2323−2323000000000000−i6i6−i6i600000−2i22i20000i2−i2i2−i2000000000000000000000000
χ714-44-444-44-4-4-444-400400-44-400-44-44000000000000000000-44000000000000000000000000000000000000000000000
χ724-44-44-2-442-424-2-400-2002-220024-4-2000000−2i3−2i32i32i3000000002-20000000002i3−2i30000000000000000000000000000000000
χ734-44-44-2-442-424-2-400-2002-220024-4-20000002i32i3−2i3−2i3000000002-2000000000−2i32i30000000000000000000000000000000000
χ744-44-4-24-44-42-4-24200-2002-2200-4-2240000000000000000002-2000000000000023−23−23230000000000000000000000000000
χ754-44-4-24-44-42-4-24200-2002-2200-4-2240000000000000000002-20000000000000−232323−230000000000000000000000000000
χ764-44-4-2-24-4222-2-224-414i−4i-11-14i−4i-22-22−2i−2i2i2i000000-22-22−2i2i−2i2i1-1−2i2iii−i−i0000000000000001-1i−i00000000000000000000
χ774-44-4-2-24-4222-2-224-41−4i4i-11-1−4i4i-22-222i2i−2i−2i000000-22-222i−2i2i−2i1-12i−2i−i−iii0000000000000001-1−ii00000000000000000000
χ784-44-4-2-24-4222-2-22-4414i−4i-11-1−4i4i-22-222i2i−2i−2i0000002-22-2−2i2i−2i2i1-12i−2i−i−iii000000000000000-11i−i00000000000000000000
χ794-44-4-2-24-4222-2-22-441−4i4i-11-14i−4i-22-22−2i−2i2i2i0000002-22-22i−2i2i−2i1-1−2i2iii−i−i000000000000000-11−ii00000000000000000000
χ804-4-444400-444-4-4-4004004-4-400000000004i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000
χ814-4-444400-444-4-4-4004004-4-40000000000−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000
χ824-4-444-20024-2-42-400-200-2220000006−6−664i−4i−2i2i2i−2i0000000000006−6−6600000000000i6−i6−i6i6000000000000000000000000
χ834-4-444-20024-2-42-400-200-2220000006−6−66−4i4i2i−2i−2i2i0000000000006−6−6600000000000−i6i6i6−i6000000000000000000000000
χ844-4-444-20024-2-42-400-200-222000000−666−64i−4i−2i2i2i−2i000000000000−666−600000000000−i6i6i6−i6000000000000000000000000
χ854-4-444-20024-2-42-400-200-222000000−666−6−4i4i2i−2i−2i2i000000000000−666−600000000000i6−i6−i6i6000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-400200222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-480084-84-8-400-40044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400-44444-400200-2-220000002i6−2i62i6−2i6000000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-400200-2-22000000−2i62i6−2i62i6000000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ908-88-8-4-4-88444-4-4400200-22-2004-44-4000000000000000000-22000000000000000000000000000000000000000000000
χ918-8-88-4800-8-484-8400-400-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4-4444002002-2-200000026−26−2626000000000000000000−666−6000000000000000000000000000000000000000
χ938-8-88-4-4004-4-4444002002-2-2000000−262626−260000000000000000006−6−66000000000000000000000000000000000000000

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