Finite Group Databasebeta

← Group #11878533

Character table — Group #11878533

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order1222334466666636668812121212242424244412121212242424242424224466881212121224242424121212121212122244666824242461212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-11111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-1111111111-1-1111111-1-11-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-11111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-11111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1111-1-11111-1-1-111-11-11-1-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-11-1-111-11-11-1-1-1111-1-111-1-111
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-11111-1-11111-1-11-1-1111-11-1111-1-1-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-111-111-1-1-1-1111111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-111-1-1-111-11-1-1-1-1-1111-11-11-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-111-111-1-11-11-1-111111-1-1-1-111-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-11111-1-1111111-111-1-1-11-111-1-1-1-1-1-1-111-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-11-1-11-11111111-11-1-11-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-22200-2-2-2-2000000000000000200000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-22220022-2-2000000000000000-2000002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-200-2-2220000000000000002000002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2002222000000000000000-200000-22000000
χ2122222-1222-1-1-122-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-102020000-1-1000000-122-1-1-1-12200-1-1-12-1-100-100000
χ2222222-1222-1-1-122-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-2000011000000-122-1-1-1-1-2-200111-21100100000
χ2322222-1222-1-1-122-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-102020000-1-10000001-2-21111-2-200-1112-1-100100000
χ2422222-1222-1-1-122-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-20000110000001-2-2111122001-1-1-21100-100000
χ2522222-1222-1-1-122-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-111111102020000-1-10000001-2211-1-12-200-1-1-1-21100100000
χ2622222-1222-1-1-122-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110-20-20000110000001-2211-1-1-22001112-1-100-100000
χ2722222-1222-1-1-122-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-111111102020000-1-1000000-12-2-1-111-2200-111-21100-100000
χ2822222-1222-1-1-122-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110-20-2000011000000-12-2-1-1112-2001-1-12-1-100100000
χ292222-1222-1222-1-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-12200-1-1-1-1-1-12-1-1-1-1-1-10022000000000-1-1000
χ302222-1222-1222-1-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-2011-2-2001111112-1-1-1-1-1-100-2-200000000011000
χ312222-1222-1222-1-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-12200-1-1-1-1-1-1-211111100-2-200000000011000
χ322222-1222-1222-1-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-2011-2-200111111-21111110022000000000-1-1000
χ332222-1222-1222-1-1-1-1-1-1-2-2-122-111112-222-1-1-2-211112020-1-1-2-200-1-11111-21-111-1-100-22000000000-11000
χ342222-1222-1222-1-1-1-1-1-1-2-2-122-111112-222-1-1-2-21111-20-2011220011-1-1-1-1-21-111-1-1002-20000000001-1000
χ352222-1222-1222-1-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211112020-1-1-2-200-1-111112-11-1-111002-20000000001-1000
χ362222-1222-1222-1-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111-20-2011220011-1-1-1-12-11-1-11100-22000000000-11000
χ3744444-2-4-44-2-2-244-2-2-2-200-422-40000000022000000040-400002200000000000000000-20000000000000
χ3844444-2-4-44-2-2-244-2-2-2-200-422-400000000220000000-4040000-2-20000000000000000020000000000000
χ394444-24-4-4-2444-2-2-2-2-2-2002-4-42000000002200000040-40-2-200002200000000000000000000000000000
χ404444-24-4-4-2444-2-2-2-2-2-2002-4-420000000022000000-4040220000-2-200000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-2-2-21111000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-211110000000000000000222-1-1-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-1000000000000000022-2-1-111000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-10000000000000000-2-2211-1-1000000000000000000
χ4544-4-4440044-4-4-4-444-4-422−2200002222−22−2200000022−222222−22−2200000000000000000000000000000000000000000
χ4644-4-4440044-4-4-4-444-4-4−22220000−22−222222000000−2222−22−22222200000000000000000000000000000000000000000
χ4744-4-44-2004-222-4-4-2-22222−2200002222−22−22000000−22−2−2220000000023−230000000000000000000006−600000000
χ4844-4-44-2004-222-4-4-2-22222−2200002222−22−22000000−22−2−22200000000−2323000000000000000000000−6600000000
χ4944-4-44-2004-222-4-4-2-222−22220000−22−2222220000002−222−2−20000000023−23000000000000000000000−6600000000
χ5044-4-44-2004-222-4-4-2-222−22220000−22−2222220000002−222−2−200000000−23230000000000000000000006−600000000
χ5144-4-4-2400-24-4-422-2-22222−220000−2−22200000022−22−2−2220000−2i32i3000000i6i6−i6−i60000000000000000000000000
χ5244-4-4-2400-24-4-422-2-22222−220000−2−22200000022−22−2−22200002i3−2i3000000−i6−i6i6i60000000000000000000000000
χ5344-4-4-2400-24-4-422-2-222−2222000022−2−2000000−222222−2−20000−2i32i3000000−i6−i6i6i60000000000000000000000000
χ5444-4-4-2400-24-4-422-2-222−2222000022−2−2000000−222222−2−200002i3−2i3000000i6i6−i6−i60000000000000000000000000
χ554-44-4444-4-4-4-44-444-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-444-44-4-4-44-444-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ574-44-44-24-4-422-2-44-222-200-4-224000000002-20000000000000000000000000000000000−2i32i300000000000
χ584-44-44-24-4-422-2-44-222-200-4-224000000002-200000000000000000000000000000000002i3−2i300000000000
χ594-44-44-2-44-422-2-44-222-20042-2-4000000−2i32i3-22000000000000000000000000000−2i32i3000000000000000000
χ604-44-44-2-44-422-2-44-222-20042-2-40000002i3−2i3-220000000000000000000000000002i3−2i3000000000000000000
χ614-44-4-244-42-4-442-2-222-20024-4-2000000002-2000000000000000000−2i32i3−2i32i30000000000000000000000000
χ624-44-4-244-42-4-442-2-222-20024-4-2000000002-20000000000000000002i3−2i32i3−2i30000000000000000000000000
χ634-44-4-24-442-4-442-2-222-200-2-44223−2323−230000-220023−2323−2300000000000000000000000000000000000000000
χ644-44-4-24-442-4-442-2-222-200-2-442−2323−23230000-2200−2323−232300000000000000000000000000000000000000000
χ654-44-4-2-2-44222-22-21-1-1100-22-2223−2323−2300−2i32i31-100−33−3300000000000000000003i−3ii3−i3000000000000000000
χ664-44-4-2-2-44222-22-21-1-1100-22-2223−2323−23002i3−2i31-100−33−330000000000000000000−3i3i−i3i3000000000000000000
χ674-44-4-2-2-44222-22-21-1-1100-22-22−2323−232300−2i32i31-1003−33−30000000000000000000−3i3ii3−i3000000000000000000
χ684-44-4-2-2-44222-22-21-1-1100-22-22−2323−2323002i3−2i31-1003−33−300000000000000000003i−3i−i3i3000000000000000000
χ694-4-444400-4-44-44-44-44-4000000000000000000000000000022−22000022−22−22220000000000000000000000000
χ704-4-444400-4-44-44-44-44-40000000000000000000000000000−22220000−222222−220000000000000000000000000
χ714-4-44-24002-44-4-22-22-220000006−6−66000000006−6−6600000022−220023−23−222−20000000000000000000000000
χ724-4-44-24002-44-4-22-22-220000006−6−66000000006−6−66000000−222200−23232−2−220000000000000000000000000
χ734-4-44-24002-44-4-22-22-22000000−666−600000000−666−600000022−2200−2323−222−20000000000000000000000000
χ744-4-44-24002-44-4-22-22-22000000−666−600000000−666−6000000−22220023−232−2−220000000000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-242−420000−22−222222000000−222222−2−200000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-2−424200002222−22−2200000022−22−2−22200000000000000000000000000000000000000000
χ788-88-8-4-48-8444-44-42-2-22004-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-888-400-84-448-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-44-442-22-200000026−26−262600000000−666−600000000000000000000000000000000000000000
χ818-8-88-4-40044-44-442-22-2000000−262626−26000000006−6−6600000000000000000000000000000000000000000

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