Finite Group Databasebeta

← Group #11878429

Character table — Group #11878429

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order122233446666663666881212121224242424441212121224242424242422446666881212242424241212121212121244448121212242424121212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-11-1-1-1
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
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-111-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-111-1-1-111-1-11-1-1-1-111-1111-1-1
χ10111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-111-111-1-1-11-111-11111-1-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-11-11-1-11111-1-1111111-111-1-11-11-1-11-1-1-1-1-1-11-11-111
χ12111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11-1-111-11111111-1-11-1-1
χ13111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-1-1111-1-11-1111-1-1111-1-1-11-1
χ14111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-11-1-1111-11-11-1-1-111-1-11-111-11
χ15111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-11-11-1-11111-1-11111-1-11-1-111-11-11-1111-1-1-1-1-11-11-11
χ16111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-111-11-1-1-11111-111-11-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-2222200-2-20000000000000000-20000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-2222-2-200-2-20000000000000000200002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-22200220000000000000000-200002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2-2-20022000000000000000020000-22000000
χ2122222-1222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-10022-1-1-1-1-1-12-1-1-1-1-1-1220000000000-1-10000
χ2222222-1222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-201100-2-21111112-1-1-1-1-1-1-2-20000000000110000
χ2322222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-10022-1-1-1-1-1-1-2111111-2-20000000000110000
χ2422222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-201100-2-2111111-2111111220000000000-1-10000
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-111112-2-2-2-1-1-2-211112020-1-100-2-2-1-111112-11-1-111-2200000000001-10000
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-111112-2-2-2-1-1-2-21111-20-2011002211-1-1-1-12-11-1-1112-20000000000-110000
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-11111-2222-1-1-2-211112020-1-100-2-2-1-11111-21-111-1-12-20000000000-110000
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-11111-2222-1-1-2-21111-20-2011002211-1-1-1-1-21-111-1-1-2200000000001-10000
χ292222-1222-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1020200-1-100000000-122-1-1-1-100222-1-1-1-1-10000-1000
χ302222-1222-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-2001100000000-122-1-1-1-100-2-2-21111100001000
χ312222-1222-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-1020200-1-1000000001-2-2111100-2-22-111-1-100001000
χ322222-1222-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-20011000000001-2-211110022-21-1-1110000-1000
χ332222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-211-1-1111111020200-1-100000000-12-2-1-111002-2-2-111110000-1000
χ342222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-211-1-11111110-20-2001100000000-12-2-1-11100-2221-1-1-1-100001000
χ352222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-22-1-1-1-1111111020200-1-1000000001-2211-1-100-22-2-1-1-11100001000
χ362222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-22-1-1-1-11111110-20-20011000000001-2211-1-1002-22111-1-10000-1000
χ3744444-2-4-44-24-2-24-2-2-2-2002-4-42000000002200000040-40-2-200002200000000000000000000000000000
χ3844444-2-4-44-24-2-24-2-2-2-2002-4-420000000022000000-4040220000-2-200000000000000000000000000000
χ394444-24-4-4-24-244-2-2-2-2-200-422-40000000022000000040-400-2-2000000000000000000002000000000000
χ404444-24-4-4-24-244-2-2-2-2-200-422-400000000220000000-404002200000000000000000000-2000000000000
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
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4221122-1-1-1-10000000000000000-2-2211-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44-2-21122-1-1-1-1000000000000000022-2-1-111000000000000000000
χ4544-4-44400-4-444-4-44-44-400000000000000000000000000000022−22002222−22−220000000000000000000000000
χ4644-4-44400-4-444-4-44-44-4000000000000000000000000000000−222200−22−2222220000000000000000000000000
χ4744-4-44-200-424-22-4-22-2200000066−6−60000000066−6−60000000022−2223−23−2−2220000000000000000000000000
χ4844-4-44-200-424-22-4-22-2200000066−6−60000000066−6−600000000−2222−232322−2−20000000000000000000000000
χ4944-4-44-200-424-22-4-22-22000000−6−66600000000−6−6660000000022−22−2323−2−2220000000000000000000000000
χ5044-4-44-200-424-22-4-22-22000000−6−66600000000−6−66600000000−222223−2322−2−20000000000000000000000000
χ514-44-4440044-4-4-4-444-4-422−22000022−2222−2200000022−2222−2222−2200000000000000000000000000000000000000000
χ524-44-4440044-4-4-4-444-4-4−22220000−2222−2222000000−2222−2222−222200000000000000000000000000000000000000000
χ534-44-44-2004-2-422-4-2-22222−220000−22−2200000022−22−22−220000−2i32i3000000i6−i6i6−i60000000000000000000000000
χ544-44-44-2004-2-422-4-2-22222−220000−22−2200000022−22−22−2200002i3−2i3000000−i6i6−i6i60000000000000000000000000
χ554-44-44-2004-2-422-4-2-222−222200002−22−2000000−22222−22−20000−2i32i3000000−i6i6−i6i60000000000000000000000000
χ564-44-44-2004-2-422-4-2-222−222200002−22−2000000−22222−22−200002i3−2i3000000i6−i6i6−i60000000000000000000000000
χ574-44-4-2400-242-4-42-2-22222−22000022−2222−22000000−22−22−22000000−2i32i300000000000000000000000i6−i600000000
χ584-44-4-2400-242-4-42-2-22222−22000022−2222−22000000−22−22−220000002i3−2i300000000000000000000000−i6i600000000
χ594-44-4-2400-242-4-42-2-222−22220000−2222−22220000002−22−22−2000000−2i32i300000000000000000000000−i6i600000000
χ604-44-4-2400-242-4-42-2-222−22220000−2222−22220000002−22−22−20000002i3−2i300000000000000000000000i6−i600000000
χ614-4-44444-4-4-4-4-4444-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-4-4-4444-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-42-42-24-222-20024-4-2000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000
χ644-4-444-24-4-42-42-24-222-20024-4-2000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000
χ654-4-444-2-44-42-42-24-222-200-2-44223−23−23230000-220023−23−232300000000000000000000000000000000000000000
χ664-4-444-2-44-42-42-24-222-200-2-442−232323−230000-2200−232323−2300000000000000000000000000000000000000000
χ674-4-44-244-42-42-44-2-222-200-4-224000000002-200000000000000000000000000000000000−2i32i30000000000
χ684-4-44-244-42-42-44-2-222-200-4-224000000002-2000000000000000000000000000000000002i3−2i30000000000
χ694-4-44-24-442-42-44-2-222-20042-2-4000000−2i32i3-22000000000000000000000000000−2i32i3000000000000000000
χ704-4-44-24-442-42-44-2-222-20042-2-40000002i3−2i3-220000000000000000000000000002i3−2i3000000000000000000
χ714-4-44-2-2-442222-2-21-1-1100-22-2223−23−232300−2i32i31-100−333−300000000000000000003i−3ii3−i3000000000000000000
χ724-4-44-2-2-442222-2-21-1-1100-22-2223−23−2323002i3−2i31-100−333−30000000000000000000−3i3i−i3i3000000000000000000
χ734-4-44-2-2-442222-2-21-1-1100-22-22−232323−2300−2i32i31-1003−3−330000000000000000000−3i3ii3−i3000000000000000000
χ744-4-44-2-2-442222-2-21-1-1100-22-22−232323−23002i3−2i31-1003−3−3300000000000000000003i−3i−i3i3000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-8-48004-8-48-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-40044-4-4442-22-20000002626−26−2600000000−6−66600000000000000000000000000000000000000000
χ7888-8-8-4-40044-4-4442-22-2000000−26−2626260000000066−6−600000000000000000000000000000000000000000
χ798-88-8-4-400-4-4444422-2-242−420000−2222−2222000000−22222−22−200000000000000000000000000000000000000000
χ808-88-8-4-400-4-4444422-2-2−4242000022−2222−2200000022−22−22−2200000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-42-2-22004-44-400000000-2200000000000000000000000000000000000000000000000

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