Finite Group Databasebeta

← Group #11887531

Character table — Group #11887531

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424242222666688884121212121212121224242424242444446688121224242424121212121244244121212121212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-11-11-1-1-1-111111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11111-111-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-1-1-1111-1-1111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111111-1-111-1-1-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1111-1-111-1-11-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-111-1-1-1111-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-111-1-111-111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-2000000-2-2002200-2-2000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000-2200-2-200-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-20000002-200220022000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-20000002200-2-2002200000000022000000020000-200000
χ2122222-1222-1-122-1-122-1-1-1222-1-12222200220000000022222-1-1-1-1-1-1-1-1-1-10200-1-122000000-1-1-1-1-1002020000-1-1-1-1-1000-100
χ2222222-1222-1-122-1-122-1-1-1222-1-12222200-2-20000000022222-1-1-1-1-1-1-1-1-1-10-20011-2-2000000-1-1-1-1-100-20-2000011111000100
χ2322222-1222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2002200000000-2-2-222-1-1-1-11111110200-1-1-2-2000000111-1-100-2020000-1-1-111000100
χ2422222-1222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-200-2-200000000-2-2-222-1-1-1-11111110-2001122000000111-1-10020-20000111-1-1000-100
χ2522222-1222-1-122-1-1-2-2-1-1-1222-1-122222002200000000-2-2-2-2-211-1-1-1-1-1-1-1-10200-1-1220000001111100-20-20000-111-1-1000100
χ2622222-1222-1-122-1-1-2-2-1-1-1222-1-12222200-2-200000000-2-2-2-2-211-1-1-1-1-1-1-1-10-20011-2-2000000111110020200001-1-111000-100
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2002200000000222-2-211-1-11111110200-1-1-2-2000000-1-1-1110020-20000-11111000-100
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-200000000222-2-211-1-11111110-2001122000000-1-1-11100-20200001-1-1-1-1000100
χ292222-1222-122-1-12-122-1-1-122-122-1-1-1-1-12200-1-1-1-122222-1-1-1-122-1-122-1-1-1-120220000-1-1-1-1-1-12-1-1-1-100020-1-1-1-100000000000
χ302222-1222-122-1-12-122-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-22-1-1-1-122-1-122-1-1-1-1-20-2-200001111112-1-1-1-1000-20111100000000000
χ312222-1222-122-1-12-122-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-211-1-122-1-1-2-2111120-2-20000-1-11111-211-1-10002011-1-100000000000
χ322222-1222-122-1-12-122-1-1-1-2-2-122-11111-2-20011112222-211-1-122-1-1-2-21111-2022000011-1-1-1-1-211-1-1000-20-1-11100000000000
χ332222-1222-122-1-12-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-12222-21111-2-2-1-122-1-1-1-120-2-20000-1-1-1-1-1-1-21111000-20111100000000000
χ342222-1222-122-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-21111-2-2-1-122-1-1-1-1-20220000111111-2111100020-1-1-1-100000000000
χ352222-1222-122-1-12-1-2-2-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-22-1-111-2-2-1-1-2-2111120220000-1-111112-1-111000-20-1-11100000000000
χ362222-1222-122-1-12-1-2-2-1-1-1-2-2-122-11111-2-200111122222-1-111-2-2-1-1-2-21111-20-2-2000011-1-1-1-12-1-1110002011-1-100000000000
χ3722-2-2222-2-2-2-2-22222-2-2-22002-22-20000000000002i2i−2i−2i0002-22-22-2000000002i−2i0000002i2i−2i−2i0002-2000002i−2i0000000000000
χ3822-2-2222-2-2-2-2-22222-2-2-22002-22-2000000000000−2i−2i2i2i0002-22-22-200000000−2i2i000000−2i−2i2i2i0002-200000−2i2i0000000000000
χ3922-2-2222-2-2-2-2-2222-22-2-22002-22-20000000000002i2i−2i−2i000-22-222-200000000−2i2i0000002i2i−2i−2i000-2200000−2i2i0000000000000
χ4022-2-2222-2-2-2-2-2222-22-2-22002-22-2000000000000−2i−2i2i2i000-22-222-2000000002i−2i000000−2i−2i2i2i000-22000002i−2i0000000000000
χ4122-2-2-122-21-2-21-12-12-211-100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i03−3-112-2-110033−3−3002i−2i0000−i3i3−i−iii03−3-1100000−ii−i3i300000000000
χ4222-2-2-122-21-2-21-12-12-211-100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i03−3-112-2-110033−3−300−2i2i0000i3−i3ii−i−i03−3-1100000i−ii3−i300000000000
χ4322-2-2-122-21-2-21-12-12-211-100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i0−33-112-2-1100−3−33300−2i2i0000−i3i3ii−i−i0−33-1100000i−i−i3i300000000000
χ4422-2-2-122-21-2-21-12-12-211-100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i0−33-112-2-1100−3−333002i−2i0000i3−i3−i−iii0−33-1100000−iii3−i300000000000
χ4522-2-2-122-21-2-21-12-1-2211-100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i0−331-1-22-110033−3−300−2i2i0000−i3i3−i−iii0−331-100000i−ii3−i300000000000
χ4622-2-2-122-21-2-21-12-1-2211-100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i0−331-1-22-110033−3−3002i−2i0000i3−i3ii−i−i0−331-100000−ii−i3i300000000000
χ4722-2-2-122-21-2-21-12-1-2211-100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i03−31-1-22-1100−3−333002i−2i0000−i3i3ii−i−i03−31-100000−iii3−i300000000000
χ4822-2-2-122-21-2-21-12-1-2211-100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i03−31-1-22-1100−3−33300−2i2i0000i3−i3−i−iii03−31-100000i−i−i3i300000000000
χ492-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i22-22-22-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i200002-2−i2i200−i2i2−i2i2000002-20000000000−i2i20−i2i2000
χ502-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i22-2-222-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i20000-22i2−i200−i2i2−i2i200000-220000000000i2−i20i2−i2000
χ512-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i2-222-2-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i200002-2−i2i200i2−i2i2−i200000-220000000000−i2i20i2−i2000
χ522-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i2-22-22-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i20000-22i2−i200i2−i2i2−i2000002-20000000000i2−i20−i2i2000
χ532-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i22-22-22-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i200002-2i2−i200i2−i2i2−i2000002-20000000000i2−i20i2−i2000
χ542-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i22-2-222-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i20000-22−i2i200i2−i2i2−i200000-220000000000−i2i20−i2i2000
χ552-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i2-222-2-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i200002-2i2−i200−i2i2−i2i200000-220000000000i2−i20−i2i2000
χ562-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i2-22-22-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i20000-22−i2i200−i2i2−i2i2000002-20000000000−i2i20i2−i2000
χ5744444-2-4-44-2-244-2-200-2-2-200-422-400000044000000000000000220000000-400-2-2000000000000000000000020000000000
χ5844444-2-4-44-2-244-2-200-2-2-200-422-4000000-4-4000000000000000220000000400220000000000000000000000-20000000000
χ594444-24-4-4-244-2-24-200-2-2-2002-4-4200004400-2-2-2-20000000000022000000-400000002200000000000000000000000000000
χ604444-24-4-4-244-2-24-200-2-2-2002-4-420000-4-4002222000000000002200000040000000-2-200000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-444-44-4-4-4-444400-4-4400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-4-422-44-2-24-422-20042-2-400000000000000000004-4-22-2200000000000000000000000-2200000000000000000000
χ6744-4-44-24-4-422-44-2-2-4422-20042-2-40000000000000000000-442-2-22000000000000000000000002-200000000000000000000
χ6844-4-44-2-44-422-44-2-20022-200-4-224000000000000000000000002-200000000000000000000000000000000000−2i32i300000000
χ6944-4-44-2-44-422-44-2-20022-200-4-224000000000000000000000002-2000000000000000000000000000000000002i3−2i300000000
χ7044-4-4-24-442-4-42-24-20022-20024-4-200000000−2i3−2i32i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ7144-4-4-24-442-4-42-24-20022-20024-4-2000000002i32i3−2i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ7244-4-4-2-24-42222-2-214-4-1-1100-22-222323−23−23000000000000023−23-22-221-100−3−333000000000000000−331-100000000000000000000
χ7344-4-4-2-24-42222-2-214-4-1-1100-22-22−23−2323230000000000000−2323-22-221-10033−3−30000000000000003−31-100000000000000000000
χ7444-4-4-2-24-42222-2-21-44-1-1100-22-222323−23−230000000000000−23232-22-21-100−3−3330000000000000003−3-1100000000000000000000
χ7544-4-4-2-24-42222-2-21-44-1-1100-22-22−23−232323000000000000023−232-22-21-10033−3−3000000000000000−33-1100000000000000000000
χ764-44-4440044-4-4-4-44004-4-400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ774-44-4440044-4-4-4-44004-4-4000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ784-44-4-2400-24-422-4-200-222000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ794-44-4-2400-24-422-4-200-222000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ804-44-4-2400-24-422-4-200-222000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ814-44-4-2400-24-422-4-200-222000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ824-4-444-200-42-24-42-2002-22−2i22i20000−2i22i2−2i22i2004-400000000000000000i2−i2i2−i2i2−i20000-22−2i22i200000000000000000000000i2−i2000000
χ834-4-444-200-42-24-42-2002-22−2i22i20000−2i22i2−2i22i200-4400000000000000000i2−i2i2−i2i2−i200002-22i2−2i200000000000000000000000−i2i2000000
χ844-4-444-200-42-24-42-2002-222i2−2i200002i2−2i22i2−2i2004-400000000000000000−i2i2−i2i2−i2i20000-222i2−2i200000000000000000000000−i2i2000000
χ854-4-444-200-42-24-42-2002-222i2−2i200002i2−2i22i2−2i200-4400000000000000000−i2i2−i2i2−i2i200002-2−2i22i200000000000000000000000i2−i2000000
χ864-4-44-24002-44-22-4-2002-22−2i22i20000i2−i2i2−i24-400-22-22−2i22i2−2i22i2000000000−2i22i2i2−i2i2−i20000000000i2−i2i2−i20000000000000000000000000
χ874-4-44-24002-44-22-4-2002-22−2i22i20000i2−i2i2−i2-44002-22-22i2−2i22i2−2i2000000000−2i22i2i2−i2i2−i20000000000−i2i2−i2i20000000000000000000000000
χ884-4-44-24002-44-22-4-2002-222i2−2i20000−i2i2−i2i24-400-22-222i2−2i22i2−2i20000000002i2−2i2−i2i2−i2i20000000000−i2i2−i2i20000000000000000000000000
χ894-4-44-24002-44-22-4-2002-222i2−2i20000−i2i2−i2i2-44002-22-2−2i22i2−2i22i20000000002i2−2i2−i2i2−i2i20000000000i2−i2i2−i20000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-884444-4-4200-2-22004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-4-444442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ948-88-8-4-400-4-444442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ958-8-88-4-40044-4-444200-22-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ968-8-88-4-40044-4-444200-22-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000

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