Finite Group Databasebeta

← Group #11887579

Character table — Group #11887579

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424242244888812121212412121212121212122424242424244444668812122424242412121212122224466121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-111111-1-1-11-1-1
χ3111111111111111111111111111111-1-111111111111111111111111111-111-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-11111-111-1-1111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-11-1-1-111111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-111-1-11-1-111-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1-11-1-111-1-11-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-111-1-11-1111-1-1-1-11-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-11-111-1-11111-1-1-1-11-1-111-1-1-11-1-1-11111-111-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111111-111-1-111-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-2002200-2-200000000022000000000-200-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-20000002-200220022000000000-2-2000000000-200200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-2000000-2200-2-200-2-2000000000-2-2000000000200200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000002200-2-2002200000000022000000000200-200000
χ2122222-1222-1-1-122-122-1-1-122-12-12-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-120220000-1-1-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ2222222-1222-1-1-122-122-1-1-122-12-12-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-20-2-200001111112-1-1-1-100-200111100000000000
χ2322222-1222-1-1-122-122-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-2111120-2-20000-1-11111-2-1-11100200-1-11100000000000
χ2422222-1222-1-1-122-122-1-1-1-2-2-12-12111100-2-222221111-2-1-11122-1-1-2-21111-2022000011-1-1-1-1-2-1-11100-20011-1-100000000000
χ2522222-1222-1-1-122-1-2-2-1-1-122-12-12-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-120-2-20000-1-1-1-1-1-1-2111100-200111100000000000
χ2622222-1222-1-1-122-1-2-2-1-1-122-12-12-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-1-20220000111111-2111100200-1-1-1-100000000000
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-2111120220000-1-11111211-1-100-20011-1-100000000000
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12111100-2-222221111211-1-1-2-2-1-1-2-21111-20-2-2000011-1-1-1-1211-1-100200-1-11100000000000
χ292222-1222-1222-1-1-122-1-1-1222-12-1222222000000000022222-1-1-1-1-1-1-1-1-1-10200-1-122000000-1-1-1-1-1000220000-1-1-1-1-1000-100
χ302222-1222-1222-1-1-122-1-1-1222-12-12222-2-2000000000022222-1-1-1-1-1-1-1-1-1-10-20011-2-2000000-1-1-1-1-1000-2-2000011111000100
χ312222-1222-1222-1-1-122-1-1-1-2-22-12-1-2-2-2-2220000000000-222-2-2-1-1-1-11111110200-1-1-2-20000001-1-1110002-20000-1-1-111000100
χ322222-1222-1222-1-1-122-1-1-1-2-22-12-1-2-2-2-2-2-20000000000-222-2-2-1-1-1-11111110-20011220000001-1-111000-220000111-1-1000-100
χ332222-1222-1222-1-1-1-2-2-1-1-1222-12-12222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-10200-1-12200000011111000-2-2000011-1-1-1000100
χ342222-1222-1222-1-1-1-2-2-1-1-1222-12-12222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-10-20011-2-200000011111000220000-1-1111000-100
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-22200000000002-2-22211-1-11111110200-1-1-2-2000000-111-1-1000-22000011-111000-100
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2-2-200000000002-2-22211-1-11111110-2001122000000-111-1-10002-20000-1-11-1-1000100
χ372-22-22200-22-2-22-2200-22-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i200002-2−i2i200−i2−i2i2i2000002-20000000000−i2i20−i2i2000
χ382-22-22200-22-2-22-2200-22-2−i2i20000−i2−i2i2i22-2-22i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i200002-2−i2i200i2i2−i2−i200000-220000000000−i2i20i2−i2000
χ392-22-22200-22-2-22-2200-22-2−i2i20000−i2−i2i2i2-222-2−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000-22i2−i200−i2−i2i2i200000-220000000000i2−i20i2−i2000
χ402-22-22200-22-2-22-2200-22-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000-22i2−i200i2i2−i2−i2000002-20000000000i2−i20−i2i2000
χ412-22-22200-22-2-22-2200-22-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i200002-2i2−i200i2i2−i2−i2000002-20000000000i2−i20i2−i2000
χ422-22-22200-22-2-22-2200-22-2i2−i20000i2i2−i2−i22-2-22−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i200002-2i2−i200−i2−i2i2i200000-220000000000i2−i20−i2i2000
χ432-22-22200-22-2-22-2200-22-2i2−i20000i2i2−i2−i2-222-2i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000-22−i2i200i2i2−i2−i200000-220000000000−i2i20−i2i2000
χ442-22-22200-22-2-22-2200-22-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000-22−i2i200−i2−i2i2i2000002-20000000000−i2i20i2−i2000
χ452-2-22222-2-2-2-22-2222i−2i2-2-20022-2-2000000002i−2i2i−2i000002i−2i002i−2i-22000000002-20000002i−2i2i−2i02i−2i0000000002-200000000000
χ462-2-22222-2-2-2-22-2222i−2i2-2-20022-2-200000000−2i2i−2i2i000002i−2i002i−2i-2200000000-22000000−2i2i−2i2i02i−2i000000000-2200000000000
χ472-2-22222-2-2-2-22-222−2i2i2-2-20022-2-2000000002i−2i2i−2i00000−2i2i00−2i2i-2200000000-220000002i−2i2i−2i0−2i2i000000000-2200000000000
χ482-2-22222-2-2-2-22-222−2i2i2-2-20022-2-200000000−2i2i−2i2i00000−2i2i00−2i2i-22000000002-2000000−2i2i−2i2i0−2i2i0000000002-200000000000
χ492-2-222-12-2-211-1-22-12i−2i-11100-121-2−i3i3−i3i300002i−2i2i−2i3−33−30−ii3−32i−2i1-100−i3i3−i3i3002-200003−3−ii−ii0−ii3−300000−i3i3-1100000000000
χ502-2-222-12-2-211-1-22-12i−2i-11100-121-2−i3i3−i3i30000−2i2i−2i2i−33−330−ii3−32i−2i1-100−i3i3−i3i300-220000−33i−ii−i0−ii3−300000i3−i31-100000000000
χ512-2-222-12-2-211-1-22-12i−2i-11100-121-2i3−i3i3−i300002i−2i2i−2i−33−330−ii−332i−2i1-100i3−i3i3−i3002-20000−33−ii−ii0−ii−3300000i3−i3-1100000000000
χ522-2-222-12-2-211-1-22-12i−2i-11100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−30−ii−332i−2i1-100i3−i3i3−i300-2200003−3i−ii−i0−ii−3300000−i3i31-100000000000
χ532-2-222-12-2-211-1-22-1−2i2i-11100-121-2−i3i3−i3i300002i−2i2i−2i3−33−30i−i−33−2i2i1-100−i3i3−i3i300-2200003−3−ii−ii0i−i−3300000i3−i31-100000000000
χ542-2-222-12-2-211-1-22-1−2i2i-11100-121-2−i3i3−i3i30000−2i2i−2i2i−33−330i−i−33−2i2i1-100−i3i3−i3i3002-20000−33i−ii−i0i−i−3300000−i3i3-1100000000000
χ552-2-222-12-2-211-1-22-1−2i2i-11100-121-2i3−i3i3−i300002i−2i2i−2i−33−330i−i3−3−2i2i1-100i3−i3i3−i300-220000−33−ii−ii0i−i3−300000−i3i31-100000000000
χ562-2-222-12-2-211-1-22-1−2i2i-11100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−30i−i3−3−2i2i1-100i3−i3i3−i3002-200003−3i−ii−i0i−i3−300000i3−i3-1100000000000
χ5744444-2-4-44-2-2-244-200-2-2-2002-42-4000000440000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ5844444-2-4-44-2-2-244-200-2-2-2002-42-4000000-4-40000222200000002200000040000000-2-200000000000000000000000000000
χ594444-24-4-4-2444-2-2-200-2-2-200-42-4200004400000000000000000220000000-400-2-2000000000000000000000000200000000
χ604444-24-4-4-2444-2-2-200-2-2-200-42-420000-4-40000000000000000022000000040022000000000000000000000000-200000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-444004-44-4-4-4400-4-440000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-444004-44-4-4-4400-4-4400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-44-20042-22-4-4-20022-20000006−6−66000022−22−2222−232323−23000000000006−6−660000000000−222−20000000000000000000000000
χ6844-4-44-20042-22-4-4-20022-20000006−6−660000−222222−2223−23−2323000000000006−6−6600000000002−2−220000000000000000000000000
χ6944-4-44-20042-22-4-4-20022-2000000−666−6000022−22−222223−23−232300000000000−666−60000000000−222−20000000000000000000000000
χ7044-4-44-20042-22-4-4-20022-2000000−666−60000−222222−22−232323−2300000000000−666−600000000002−2−220000000000000000000000000
χ714-44-44-200-4-2224-4-2002-22−2i22i20000i2i2−i2−i2004-4−2i2−2i22i22i2-2-222000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ724-44-44-200-4-2224-4-2002-22−2i22i20000i2i2−i2−i200-442i22i2−2i2−2i222-2-2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ734-44-44-200-4-2224-4-2002-222i2−2i20000−i2−i2i2i2004-42i22i2−2i2−2i2-2-2220000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ744-44-44-200-4-2224-4-2002-222i2−2i20000−i2−i2i2i200-44−2i2−2i22i22i222-2-20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ754-44-4-240024-4-4-22-2002-22−2i22i20000−2i2−2i22i22i24-40000000000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000
χ764-44-4-240024-4-4-22-2002-22−2i22i20000−2i2−2i22i22i2-440000000000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000
χ774-44-4-240024-4-4-22-2002-222i2−2i200002i22i2−2i2−2i24-40000000000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000
χ784-44-4-240024-4-4-22-2002-222i2−2i200002i22i2−2i2−2i2-440000000000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000
χ794-4-4444-44-4-4-44-444004-4-400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ804-4-444-2-44-422-2-44-200-222002-4-2400000000000023−2323−230000000-2200000000000000−232300000000000000000000000000000
χ814-4-444-2-44-422-2-44-200-222002-4-24000000000000−2323−23230000000-220000000000000023−2300000000000000000000000000000
χ824-4-44-244-42-4-442-2-24i−4i-222004-2-42000000000000000004i−4i00−2i2i2-2000000000000000000000−2i2i0000000000000000000000
χ834-4-44-244-42-4-442-2-2−4i4i-222004-2-4200000000000000000−4i4i002i−2i2-20000000000000000000002i−2i0000000000000000000000
χ844-4-44-24-442-4-442-2-200-22200-424-200000000000000000000000-22000000000000000000000000000000000023−23000000000
χ854-4-44-24-442-4-442-2-200-22200-424-200000000000000000000000-220000000000000000000000000000000000−2323000000000
χ864-4-44-2-24-4222-22-214i−4i1-1-100-2-222−2i32i3−2i32i30000000000000−2i2i23−23−2i2i-1100i3−i3i3−i3000000000000000i−i−3300000000000000000000
χ874-4-44-2-24-4222-22-214i−4i1-1-100-2-2222i3−2i32i3−2i30000000000000−2i2i−2323−2i2i-1100−i3i3−i3i3000000000000000i−i3−300000000000000000000
χ884-4-44-2-24-4222-22-21−4i4i1-1-100-2-222−2i32i3−2i32i300000000000002i−2i−23232i−2i-1100i3−i3i3−i3000000000000000−ii3−300000000000000000000
χ894-4-44-2-24-4222-22-21−4i4i1-1-100-2-2222i3−2i32i3−2i300000000000002i−2i23−232i−2i-1100−i3i3−i3i3000000000000000−ii−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4800-4-88-844-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-4444200-2-2200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-400-44-4444200-2-22000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-4004-444-44200-22-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ958-88-8-4-4004-444-44200-22-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ968-8-88-4-4-88444-44-42002-2-20044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000

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