Finite Group Databasebeta

← Group #11886690

Character table — Group #11886690

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222244444444444488888888888888881212121216161616161624242424242424242424242424243636363636364848484872
order122334466234666121212121212466681212121212121212121212224461224242424244466668812121212248888121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-111111111-1-1-11111-11-1-1-1-1-1-1-1-1-11-11-1-1
χ31111111111111111111111111111111111111-11-11111111-1-1111-1-1-1-11-1111-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111111111-1111-111-1-1-1-11-1-1-1-1111111-1-1-1-11-11-11111-1-11111-1-1-1-111-1-1-1-11
χ6111111111111111111111-1111-111-1-1-1-11-1-1-1-11-11-111-1-1-1-11-1-11-1111-111-1-1-11111-1-1-11-11-1
χ7111111111111111111111-1111-111-1-1-1-11-1-1-1-1-11-1111-1-1-1-1-111-11-1-1-11-1-11111111-1-11-11-1-1
χ8111111111111111111111-1111-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-11111111
χ9111111111-11-11111111111-1-11-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1
χ10111111111-11-11111111111-1-11-1-1-11111111111-11-1-1-1-1-1-1-1-1-111-11-1-11-11-11111-1-1-1-1-111-11
χ11111111111-11-11111111111-1-11-1-1-1111111111-11-11-1-1-1-1-1-111-1-11-111-11-11-1-111-1-1-1-11-1-111
χ12111111111-11-11111111111-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1
χ13111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-11111-11-1111-1-1-1-111-1-111-1-11111-1-1-1
χ14111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-11-11-1-1-11111-111-1-11-1-1-111-111-1-111-1-11-1-111
χ15111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-1-11-11-1-111111-1-111-1111-1-11-1-1-1-111-1-1-111-11
χ16111111111-11-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-11111-1-111-1-111-1
χ172222-122-122-122-1-1-12-1-1-1222-1-12-1222-1-1-1-1-1-1-12020-1-12-1-1-122000-1-1-120-1000000000-10-100
χ182222-122-122-122-1-1-12-1-1-1222-1-12-1222-1-1-1-1-1-1-1-20-20-1-12-1-1-1-2-2000111-20100000000010100
χ192222-122-122-122-1-1-12-1-1-12-22-1-1-2-12-2-211-111112020-1-1-21112-2000-1-1-1-20-100000000010100
χ202222-122-122-122-1-1-12-1-1-12-22-1-1-2-12-2-211-11111-20-20-1-1-2111-22000111201000000000-10-100
χ212222-122-12-2-1-22-1-1-12-1-1-122-21-1-21-222-1-1-1-1-1-1-1202011-2111-2-2000-11120-100000000010-100
χ222222-122-12-2-1-22-1-1-12-1-1-122-21-1-21-222-1-1-1-1-1-1-1-20-2011-2111220001-1-1-201000000000-10100
χ232222-122-12-2-1-22-1-1-12-1-1-12-2-21-121-2-2-211-111112020112-1-1-1-22000-111-20-1000000000-10100
χ242222-122-12-2-1-22-1-1-12-1-1-12-2-21-121-2-2-211-11111-20-20112-1-1-12-20001-1-120100000000010-100
χ25222-12222-12-12-12-12-1-1-12-12-12-122-1-1-122-1-1-1-1-10202-1-1-12-1-10022-1000020-1-1-10000000-10-10
χ26222-12222-12-12-12-12-1-1-12-12-12-122-1-1-122-1-1-1-1-10-20-2-1-1-12-1-100-2-210000-2011100000001010
χ27222-12222-12-12-12-12-1-1-12-1-2-12-1-22-111-2-2-111110202-1-11-211002-2-10000-20-1-1-100000001010
χ28222-12222-12-12-12-12-1-1-12-1-2-12-1-22-111-2-2-111110-20-2-1-11-21100-2210000201110000000-10-10
χ29222-12222-1-2-1-2-12-12-1-1-12-121-2-1-2-21-1-122-1-1-1-1-10202111-21100-2-2-1000020-111000000010-10
χ30222-12222-1-2-1-2-12-12-1-1-12-121-2-1-2-21-1-122-1-1-1-1-10-20-2111-211002210000-201-1-10000000-1010
χ31222-12222-1-2-1-2-12-12-1-1-12-1-21-2-12-2111-2-2-11111020211-12-1-100-22-10000-20-1110000000-1010
χ32222-12222-1-2-1-2-12-12-1-1-12-1-21-2-12-2111-2-2-111110-20-211-12-1-1002-210000201-1-1000000010-10
χ3322-2222-22222-2-2-22-2-2-2-222022-20-2-200002000000002-20000000000000000002-22-20000000
χ3422-2222-22222-2-2-22-2-2-2-222022-20-2-200002000000002-2000000000000000000-22-220000000
χ3522-2222-222-222-2-22-2-2-2-2220-2-2-20220000200000000-220000000000000000002-2-220000000
χ3622-2222-222-222-2-22-2-2-2-2220-2-2-20220000200000000-22000000000000000000-222-20000000
χ3722-222-2222020-2-222222-2-2000-20000000-2000022-2-20000000000220000-2-20000002-200000
χ3822-222-2222020-2-222222-2-2000-20000000-200002-2-220000000000-220000-22000000-2200000
χ3922-222-2222020-2-222222-2-2000-20000000-20000-222-200000000002-200002-2000000-2200000
χ4022-222-2222020-2-222222-2-2000-20000000-20000-2-2220000000000-2-20000220000002-200000
χ4144444-4-444040444-4-4-4-4-4-400040000000-4000000000000000000000000000000000000000
χ424444-2-4-4-240-204-2-22-4222-4000-20000000200000000000000000000−2i32i300000000000000000
χ434444-2-4-4-240-204-2-22-4222-4000-200000002000000000000000000002i3−2i300000000000000000
χ44444-24-4-44-20-20-24-2-4222-42000-20000000200000000000000000000000000−2i32i300000000000
χ45444-24-4-44-20-20-24-2-4222-42000-200000002000000000000000000000000002i3−2i300000000000
χ46444-2-244-2-2414-2-21-2-211-2-24-2-214-2-2-2-2-2-211111000011-2-2110000000000000000000000000
χ47444-2-244-2-2414-2-21-2-211-2-2-4-2-21-4-2-222221-1-1-1-100001122-1-10000000000000000000000000
χ48444-2-244-2-2-41-4-2-21-2-211-2-24221-422-2-2-2-2111110000-1-122-1-10000000000000000000000000
χ49444-2-244-2-2-41-4-2-21-2-211-2-2-422142222221-1-1-1-10000-1-1-2-2110000000000000000000000000
χ5044-44-24-4-244-2-4-42-22-422-2404-2202-40000-200000000-2200000000000000000000000000000
χ5144-44-24-4-24-4-24-42-22-422-240-4220-240000-2000000002-200000000000000000000000000000
χ5244-44-2-44-240-20-42-2-24-2-22-4000200000002000040-4000000000000-20000200000000000000
χ5344-44-2-44-240-20-42-2-24-2-22-40002000000020000-40400000000000020000-200000000000000
χ5444-4-244-44-24-2-42-4-2-42224-20-2420-420000-200000000-2200000000000000000000000000000
χ5544-4-244-44-2-4-242-4-2-42224-202-4204-20000-2000000002-200000000000000000000000000000
χ5644-4-24-444-20-202-4-24-2-2-2-420002000000020000040-40000000000-200000020000000000000
χ5744-4-24-444-20-202-4-24-2-2-2-4200020000000200000-40400000000002000000-20000000000000
χ5844-4-2-24-4-2-241-422122-1-1-2-20-2-2-1022000013i3i−3i−3i00001-1003i−3i0000000000000000000000000
χ5944-4-2-24-4-2-241-422122-1-1-2-20-2-2-102200001−3i−3i3i3i00001-100−3i3i0000000000000000000000000
χ6044-4-2-24-4-2-2-41422122-1-1-2-2022-10-2-2000013i3i−3i−3i0000-1100−3i3i0000000000000000000000000
χ6144-4-2-24-4-2-2-41422122-1-1-2-2022-10-2-200001−3i−3i3i3i0000-11003i−3i0000000000000000000000000
χ62888-4-4-8-8-4-4020-4-4244-2-24400020000000-2000000000000000000000000000000000000000
χ6388-8-4-4-88-4-4020442-4-42244000-20000000-2000000000000000000000000000000000000000
χ648-808800-8-808000-8000000000000000000000000000000000000000000000000000000000
χ658-808-4004-80-4000400000000000000023−23023−2323−2300000000000000000000000000000000000
χ668-808-4004-80-40004000000000000000−23230−2323−232300000000000000000000000000000000000
χ678-80-4800-840-400040000000000000−2i32i3000−2i32i32i3−2i300000000000000000000000000000000000
χ688-80-4800-840-4000400000000000002i3−2i30002i3−2i3−2i32i300000000000000000000000000000000000
χ698-80-4-4004402000-2006i−6i000000000−2i32i323−230ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000000
χ708-80-4-4004402000-2006i−6i0000000002i3−2i3−23230−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000000
χ718-80-4-4004402000-200−6i6i000000000−2i32i3−23230ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000000
χ728-80-4-4004402000-200−6i6i0000000002i3−2i323−230−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000000

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