Finite Group Databasebeta

← Group #11878520

Character table — Group #11878520

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order122233446666663666881212121244121212121212242424242424242422446666121212121212444488121212121212242424242488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-11111111-11-11-1111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111111111-11-11-11-1-1-1111-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-11-11-1-11-1111-1-1-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-1-11111-1-1-1-1-1-111-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-111-1-1-11111-111-1-111-1-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-111-1-1-1-111111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-111-1-1-11-1-1111-1-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1-111-111-1-1-1-1-1-1-111-1-111111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-11111-1-11-1-11111111-1-1-1-111-1-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-111-1-1-1111111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-22222000000000000-200-2000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-2222-2-2000000000000-20020000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-2-2-222000000000000200-20000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-222-2-2-2-20000000000002002000000-22000000
χ2122222-1222-122-1-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1020200-1-1-12-1-1-1-1020202000-1-1-100-1-100000-100
χ2222222-1222-122-1-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-10-20-20011-12-1-1-1-10-20-20-2000111001100000100
χ2322222-1222-122-1-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1020200-1-11-211110-20-202000-11100-1-100000100
χ2422222-1222-122-1-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-10-20-200111-2111102020-20001-1-1001100000-100
χ2522222-1222-122-1-1-1-1-1-1-2-22-12-12-22211-1-1-2-2111111020200-1-1-1-2-1-1110-2020-2000-111001100000-100
χ2622222-1222-122-1-1-1-1-1-1-2-22-12-12-22211-1-1-2-21111110-20-20011-1-2-1-111020-2020001-1-100-1-100000100
χ2722222-1222-122-1-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111020200-1-11211-1-1020-20-2000-1-1-1001100000100
χ2822222-1222-122-1-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-21111110-20-200111211-1-10-2020200011100-1-100000-100
χ292222-1222-12-1-122-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-12020-1-1002-1-1-1-1-1202020-1-1-1000-1-1000000-1000
χ302222-1222-12-1-122-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1-20-2011002-1-1-1-1-1-20-20-20111000110000001000
χ312222-1222-12-1-122-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-211111-20-2020-111000-1-10000001000
χ322222-1222-12-1-122-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1-20-201100-2111112020-201-1-100011000000-1000
χ332222-1222-12-1-122-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211112020-1-10021-1-11120-20-20-1-1-1000110000001000
χ342222-1222-12-1-122-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111-20-20110021-1-111-202020111000-1-1000000-1000
χ352222-1222-12-1-122-1-1-1-1-2-2-12-12-221122-1-111-2-211112020-1-100-2-111-1-1-2020-20-11100011000000-1000
χ362222-1222-12-1-122-1-1-1-1-2-2-12-12-221122-1-111-2-21111-20-201100-2-111-1-120-20201-1-1000-1-10000001000
χ3744444-2-4-44-244-2-2-2-2-2-200-42-420000002200000000040-400-2-2000000000000000200000000000000
χ3844444-2-4-44-244-2-2-2-2-2-200-42-4200000022000000000-4040022000000000000000-200000000000000
χ394444-24-4-4-24-2-244-2-2-2-2002-42-4000000220000000040-40-2-200000000000000200000000000000000
χ404444-24-4-4-24-2-244-2-2-2-2002-42-40000002200000000-40402200000000000000-200000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000022-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2211-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-2-1-111000000000000000000000000
χ4544-4-4440044-4-4-4-444-4-422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000
χ4644-4-4440044-4-4-4-444-4-4−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000
χ4744-4-44-2004-2-4-422-2-22222−2200000000000022−22−22−2−222000000−2i32i300000000000000000000i6−i600000000
χ4844-4-44-2004-2-4-422-2-22222−2200000000000022−22−22−2−2220000002i3−2i300000000000000000000−i6i600000000
χ4944-4-44-2004-2-4-422-2-222−2222000000000000−22222−222−2−2000000−2i32i300000000000000000000−i6i600000000
χ5044-4-44-2004-2-4-422-2-222−2222000000000000−22222−222−2−20000002i3−2i300000000000000000000i6−i600000000
χ5144-4-4-2400-2422-4-4-2-22222−22000000000000−2222−22−2−2220000−2i32i300000000000000000000i6−i60000000000
χ5244-4-4-2400-2422-4-4-2-22222−22000000000000−2222−22−2−22200002i3−2i300000000000000000000−i6i60000000000
χ5344-4-4-2400-2422-4-4-2-222−22220000000000002−2−222222−2−20000−2i32i300000000000000000000−i6i60000000000
χ5444-4-4-2400-2422-4-4-2-222−22220000000000002−2−222222−2−200002i3−2i300000000000000000000i6−i60000000000
χ554-44-44400-4-44-44-44-4-4400000000000000000000000000000000000000000000000000000022−220000
χ564-44-44400-4-44-44-44-4-44000000000000000000000000000000000000000000000000000000−22220000
χ574-4-44444-4-4-4-44-444-44-400-4-4440000004-40000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-44-444-44-40044-4-4000000-440000000000000000000000000000000000000000000000
χ594-4-444-24-4-42-442-2-22-2200-424-2000000-220000000000000000000000000000000023−23000000000000
χ604-4-444-24-4-42-442-2-22-2200-424-2000000-2200000000000000000000000000000000−2323000000000000
χ614-4-444-2-44-42-442-2-22-22004-2-42000023−232-20000000000000000000023−23000000000000000000000000
χ624-4-444-2-44-42-442-2-22-22004-2-420000−23232-200000000000000000000−2323000000000000000000000000
χ634-4-44-244-42-42-2-44-22-22002-4-24000000-220000000000000000000000000000023−23000000000000000
χ644-4-44-244-42-42-2-44-22-22002-4-24000000-2200000000000000000000000000000−2323000000000000000
χ654-4-44-24-442-42-2-44-22-2200-242-40023−23002-200000000000000000023−2300000000000000000000000000
χ664-4-44-24-442-42-2-44-22-2200-242-400−2323002-2000000000000000000−232300000000000000000000000000
χ674-4-44-2-2-44222-22-21-11-100-2-2220023−2323−23-1100003-33-30000000000−33−33000000000000000000000000
χ684-4-44-2-2-44222-22-21-11-100-2-2220023−23−2323-110000-33-330000000000−333−3000000000000000000000000
χ694-4-44-2-2-44222-22-21-11-100-2-22200−232323−23-110000-33-3300000000003−3−33000000000000000000000000
χ704-4-44-2-2-44222-22-21-11-100-2-22200−2323−2323-1100003-33-300000000003−33−3000000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4-4444422-2-242−42000000000000−2222−222222−2−200000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-2−424200000000000022−2222−22−2−22200000000000000000000000000000000000000
χ748-88-88-400-848-8-44-444-4000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-8-448-8-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-44-442-2-2200000000000000000032−32−323200000000000000000000000000000000000000
χ778-88-8-4-40044-44-442-2-22000000000000000000−323232−3200000000000000000000000000000000000000
χ788-8-88-4-48-8444-44-42-22-20044-4-40000002-20000000000000000000000000000000000000000000000

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