Finite Group Databasebeta

← Group #11878532

Character table — Group #11878532

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order122233446666663666881212121224242424441212121224242424242422446666881212242424241212121212121244448121212242424121212228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-11111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11111111-111-1111111-1-1-1-11-1-1-1
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
χ61111111111111111111111111111-1-1-1-1111111111-11-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-111-1
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
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-11-111-1-1-11-11-1111-1-111-11-11-1-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-11-111-1-1-1-1111-1-1-111-1-1-111-111
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-11111-1-11111-11-111-1-111-1-1-1111-1-1-1-11-1-1-111
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-11-11-11-1-1-111111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11-11-1-1111-11-1-11-1-1-1-1111-11-11-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11-11-1-11111-1-11-11111-1-11-1-11-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-11111-1-111111-11-1-111-1-111-11-1-1-1-1-1-1-1111-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-111-11-111-1111111-11-1-11-1
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
χ2122222-1222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-10022-1-1-1-1-1-12-1-1-1-1-1-1200200000000-1-10000
χ2222222-1222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-201100-2-21111112-1-1-1-1-1-1-200-200000000110000
χ2322222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-10022-1-1-1-1-1-1-2111111-200-200000000110000
χ2422222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-201100-2-2111111-2111111200200000000-1-10000
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-211112020-1-100-2-2-1-11111-2-11-1-111-2002000000001-10000
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-21111-20-2011002211-1-1-1-1-2-11-1-111200-200000000-110000
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211112020-1-100-2-2-1-1111121-111-1-1200-200000000-110000
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111-20-2011002211-1-1-1-121-111-1-1-2002000000001-10000
χ292222-1222-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1020200-1-100000000-122-1-1-1-102202-1-1-1-1-10000-1000
χ302222-1222-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-2001100000000-122-1-1-1-10-2-20-21111100001000
χ312222-1222-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-1020200-1-1000000001-2-211110-2-202-111-1-100001000
χ322222-1222-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-20011000000001-2-211110220-21-1-1110000-1000
χ332222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-1111111020200-1-10000000012-2-1-11102-20-2-1-1-11100001000
χ342222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110-20-200110000000012-2-1-1110-2202111-1-10000-1000
χ352222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-1111111020200-1-100000000-1-2211-1-10-220-2-111110000-1000
χ362222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110-20-2001100000000-1-2211-1-102-2021-1-1-1-100001000
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
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-100000000000000002-2211-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-10000000000000000-22-2-1-111000000000000000000
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
χ4744-4-44-2004-2-422-4-2-22222−220000−2−22200000022−22−2−2220000−2i32i3000000i6i6−i6−i60000000000000000000000000
χ4844-4-44-2004-2-422-4-2-22222−220000−2−22200000022−22−2−22200002i3−2i3000000−i6−i6i6i60000000000000000000000000
χ4944-4-44-2004-2-422-4-2-222−2222000022−2−2000000−222222−2−20000−2i32i3000000−i6−i6i6i60000000000000000000000000
χ5044-4-44-2004-2-422-4-2-222−2222000022−2−2000000−222222−2−200002i3−2i3000000i6i6−i6−i60000000000000000000000000
χ5144-4-4-2400-242-4-42-2-22222−2200002222−22−22000000−22−2−222000000−2i32i300000000000000000000000i6−i600000000
χ5244-4-4-2400-242-4-42-2-22222−2200002222−22−22000000−22−2−2220000002i3−2i300000000000000000000000−i6i600000000
χ5344-4-4-2400-242-4-42-2-222−22220000−22−2222220000002−222−2−2000000−2i32i300000000000000000000000−i6i600000000
χ5444-4-4-2400-242-4-42-2-222−22220000−22−2222220000002−222−2−20000002i3−2i300000000000000000000000i6−i600000000
χ554-44-44400-4-4-44-444-44-400000000000000000000000000000022−220022−2222−220000000000000000000000000
χ564-44-44400-4-4-44-444-44-4000000000000000000000000000000−222200−2222−22220000000000000000000000000
χ574-44-44-200-42-4-224-22-220000006−66−6000000006−66−60000000022−2223−23−22−220000000000000000000000000
χ584-44-44-200-42-4-224-22-220000006−66−6000000006−66−600000000−2222−23232−22−20000000000000000000000000
χ594-44-44-200-42-4-224-22-22000000−66−6600000000−66−660000000022−22−2323−22−220000000000000000000000000
χ604-44-44-200-42-4-224-22-22000000−66−6600000000−66−6600000000−222223−232−22−20000000000000000000000000
χ614-4-44444-4-4-44-44-44-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-44-44-44-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-4242-2-4-222-20024-4-2000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000
χ644-4-444-24-4-4242-2-4-222-20024-4-2000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000
χ654-4-444-2-44-4242-2-4-222-200-2-44223−23−23230000-220023−23−232300000000000000000000000000000000000000000
χ664-4-444-2-44-4242-2-4-222-200-2-442−232323−230000-2200−232323−2300000000000000000000000000000000000000000
χ674-4-44-244-42-4-2-442-222-200-4-224000000002-20000000000000000000000000000000000023−230000000000
χ684-4-44-244-42-4-2-442-222-200-4-224000000002-200000000000000000000000000000000000−23230000000000
χ694-4-44-24-442-4-2-442-222-20042-2-400000023−23-22000000000000000000000000023−2300000000000000000000
χ704-4-44-24-442-4-2-442-222-20042-2-4000000−2323-220000000000000000000000000−232300000000000000000000
χ714-4-44-2-2-4422-22-221-1-1100-22-2223−23−23230023−231-100−333−30000000000000000000−333-3000000000000000000
χ724-4-44-2-2-4422-22-221-1-1100-22-2223−23−232300−23231-100−333−300000000000000000003−3-33000000000000000000
χ734-4-44-2-2-4422-22-221-1-1100-22-22−232323−230023−231-1003−3−330000000000000000000−33-33000000000000000000
χ744-4-44-2-2-4422-22-221-1-1100-22-22−232323−2300−23231-1003−3−3300000000000000000003−33-3000000000000000000
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
χ788-88-8-48004-848-8-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-42-22-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ808-88-8-4-400444-44-42-22-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ818-8-88-4-48-844-44-442-2-22004-44-400000000-2200000000000000000000000000000000000000000000000

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