Finite Group Databasebeta

← Group #11865152

Character table — Group #11865152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222244444444444488888888888888881212121212121212161616161616181818182424242424242424242424243636484848487272
order1223344662346661212121212124666812121212121212121212122222444461224242424224422666688121212122466242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1-1-1111111-1-1-1-11-1-11111-11-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111-1-1-11-1111111111-1-1-1-1-111-1-1-1-11-1111-1-11-1-11-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111111-1111-111-1-1-1-11-1-1-1-11111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1
χ6111111111111111111111-1111-111-1-1-1-11-1-1-1-1111-11-1-1-111-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-11-1-1111
χ7111111111111111111111-1111-111-1-1-1-11-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11-11-1-1-11-1-1111-1-1-111-111
χ8111111111111111111111-1111-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ9111111111-11-11111111111-1-11-1-1-111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11-11-1-111-11-11-11
χ10111111111-11-11111111111-1-11-1-1-111111111111-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-111-1-111-1-11-1
χ11111111111-11-11111111111-1-11-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1111-1
χ12111111111-11-11111111111-1-11-1-1-1111111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-11-111111-11-1-11
χ13111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-11111-11-1-11-1-1111-11-11-1
χ14111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-111111111-1-1-111-111-1-111-1-1-1-111-11
χ15111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111111-1-11-1-111-1-1-1-111-1-1-11
χ16111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-1-1-1-11-111-11111-11-111-1
χ1722222-2-222020222-2-2-2-2-2-200020000000-200002-200002-200000022-2-20002-2000002-200000000
χ1822222-2-222020222-2-2-2-2-2-200020000000-200002-20000-22000000-2-2220002-200000-2200000000
χ1922222-2-222020222-2-2-2-2-2-200020000000-20000-2200002-2000000-2-222000-22000002-200000000
χ2022222-2-222020222-2-2-2-2-2-200020000000-20000-220000-2200000022-2-2000-2200000-2200000000
χ212222-122-122-122-1-1-12-1-1-1222-1-12-1222-1-1-1-1-1-1-122202000-1-12-1-1-10000200-1-1-120-1000000-1-1000
χ222222-122-122-122-1-1-12-1-1-1222-1-12-1222-1-1-1-1-1-1-1-2-2-20-2000-1-12-1-1-10000-200111-20100000011000
χ232222-122-122-122-1-1-12-1-1-12-22-1-1-2-12-2-211-1111122202000-1-1-21110000-200-1-1-1-20-100000011000
χ242222-122-122-122-1-1-12-1-1-12-22-1-1-2-12-2-211-11111-2-2-20-2000-1-1-21110000200111201000000-1-1000
χ252222-122-12-2-1-22-1-1-12-1-1-122-21-1-21-222-1-1-1-1-1-1-122-20-200011-21110000200-1-11-201000000-11000
χ262222-122-12-2-1-22-1-1-12-1-1-122-21-1-21-222-1-1-1-1-1-1-1-2-220200011-21110000-20011-120-10000001-1000
χ272222-122-12-2-1-22-1-1-12-1-1-12-2-21-121-2-2-211-1111122-20-2000112-1-1-10000-200-1-112010000001-1000
χ282222-122-12-2-1-22-1-1-12-1-1-12-2-21-121-2-2-211-11111-2-2202000112-1-1-1000020011-1-20-1000000-11000
χ29222-12222-12-12-12-12-1-1-12-12-12-122-1-1-122-1-1-1-1-100020222-1-1-12-1-1000002-1000020-1-1-100-100-100
χ30222-12222-12-12-12-12-1-1-12-12-12-122-1-1-122-1-1-1-1-1000-20-2-2-2-1-1-12-1-100000-210000-2011100100100
χ31222-12222-12-12-12-12-1-1-12-1-2-12-1-22-111-2-2-1111100020222-1-11-21100000-2-10000-20-1-1-100100100
χ32222-12222-12-12-12-12-1-1-12-1-2-12-1-22-111-2-2-11111000-20-2-2-2-1-11-211000002100002011100-100-100
χ33222-12222-1-2-1-2-12-12-1-1-12-121-2-1-2-21-1-122-1-1-1-1-1000202-2-2111-21100000-2-1000020-11100100-100
χ34222-12222-1-2-1-2-12-12-1-1-12-121-2-1-2-21-1-122-1-1-1-1-1000-20-222111-21100000210000-201-1-100-100100
χ35222-12222-1-2-1-2-12-12-1-1-12-1-21-2-12-2111-2-2-11111000202-2-211-12-1-1000002-10000-20-11100-100100
χ36222-12222-1-2-1-2-12-12-1-1-12-1-21-2-12-2111-2-2-11111000-20-22211-12-1-100000-210000201-1-100100-100
χ3722-2222-22222-2-2-22-2-2-2-222022-20-2-2000020000000000002-200002-22-20000000000002-2000000
χ3822-2222-22222-2-2-22-2-2-2-222022-20-2-2000020000000000002-20000-22-22000000000000-22000000
χ3922-2222-222-222-2-22-2-2-2-2220-2-2-202200002000000000000-2200002-22-2000000000000-22000000
χ4022-2222-222-222-2-22-2-2-2-2220-2-2-202200002000000000000-220000-22-220000000000002-2000000
χ4122-222-2222020-2-222222-2-2000-20000000-200000022-2-200000000-222-200200200-2-20000000000
χ4222-222-2222020-2-222222-2-2000-20000000-20000002-2-22000000002-2-2200-200200-220000000000
χ4322-222-2222020-2-222222-2-2000-20000000-2000000-222-2000000002-2-2200200-2002-20000000000
χ4422-222-2222020-2-222222-2-2000-20000000-2000000-2-22200000000-222-200-200-200220000000000
χ454444-2-4-4-240-204-2-22-4222-4000-20000000200004-40000000000000000000-22000000000000000
χ464444-2-4-4-240-204-2-22-4222-4000-2000000020000-4400000000000000000002-2000000000000000
χ47444-24-4-44-20-20-24-2-4222-42000-20000000200000000004-400000000000000000000-2200000000
χ48444-24-4-44-20-20-24-2-4222-42000-2000000020000000000-44000000000000000000002-200000000
χ49444-2-244-2-2414-2-21-2-211-2-24-2-214-2-2-2-2-2-2111110000000011-2-211000000000000000000000000
χ50444-2-244-2-2414-2-21-2-211-2-2-4-2-21-4-2-222221-1-1-1-1000000001122-1-1000000000000000000000000
χ51444-2-244-2-2-41-4-2-21-2-211-2-24221-422-2-2-2-21111100000000-1-122-1-1000000000000000000000000
χ52444-2-244-2-2-41-4-2-21-2-211-2-2-422142222221-1-1-1-100000000-1-1-2-211000000000000000000000000
χ5344-44-24-4-244-2-4-42-22-422-2404-2202-40000-2000000000000-220000000000000000000000000000
χ5444-44-24-4-24-4-24-42-22-422-240-4220-240000-20000000000002-20000000000000000000000000000
χ5544-44-2-44-240-20-42-2-24-2-22-400020000000200000040-4000000000000000000-200200000000000
χ5644-44-2-44-240-20-42-2-24-2-22-4000200000002000000-404000000000000000000200-200000000000
χ5744-4-244-44-24-2-42-4-2-42224-20-2420-420000-2000000000000-220000000000000000000000000000
χ5844-4-244-44-2-4-242-4-2-42224-202-4204-20000-20000000000002-20000000000000000000000000000
χ5944-4-24-444-20-202-4-24-2-2-2-42000200000002000000040-400000000000000-200000020000000000
χ6044-4-24-444-20-202-4-24-2-2-2-420002000000020000000-404000000000000002000000-20000000000
χ6144-4-2-24-4-2-241-422122-1-1-2-20-2-2-1022000013i3i−3i−3i000000001-1003i−3i000000000000000000000000
χ6244-4-2-24-4-2-241-422122-1-1-2-20-2-2-102200001−3i−3i3i3i000000001-100−3i3i000000000000000000000000
χ6344-4-2-24-4-2-2-41422122-1-1-2-2022-10-2-2000013i3i−3i−3i00000000-1100−3i3i000000000000000000000000
χ6444-4-2-24-4-2-2-41422122-1-1-2-2022-10-2-200001−3i−3i3i3i00000000-11003i−3i000000000000000000000000
χ65888-4-4-8-8-4-4020-4-4244-2-24400020000000-2000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4020442-4-42244000-20000000-2000000000000000000000000000000000000000000
χ678-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000
χ688-808-4004-80-40004000000000000000−2i32i30−2i32i3−2i32i300000000000000000000000000000000000000
χ698-808-4004-80-400040000000000000002i3−2i302i3−2i32i3−2i300000000000000000000000000000000000000
χ708-80-4800-840-40004000000000000023−2300023−23−232300000000000000000000000000000000000000
χ718-80-4800-840-400040000000000000−2323000−232323−2300000000000000000000000000000000000000
χ728-80-4-4004402000-2006i−6i00000000023−23−2i32i30ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000000000
χ738-80-4-4004402000-2006i−6i000000000−23232i3−2i30−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000000000
χ748-80-4-4004402000-200−6i6i00000000023−232i3−2i30−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000000000
χ758-80-4-4004402000-200−6i6i000000000−2323−2i32i30ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.