Finite Group Databasebeta

← Group #11886829

Character table — Group #11886829

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222222244444444444444446666668888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order1223344668812123666812121212122424242424248824242424688122424242424242424242224444481212121224242424242424244466681212122424241212228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-11-1-1-1-111111-1-11-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-11
χ4111111111111111111111111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-1-111-1-1-1
χ611111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ811111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-11
χ9111111111-1-1111111-111111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-11-111-11-1-11-1-1-1-111111-1-1-11-111-1-11-11-1-1111-11-1-1
χ10111111111-1-1111111-111111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1-1-111111-1-1-1-11-11-111-1-111-1-1-11-111
χ11111111111-1-1111111-111111-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-111-111-1-11-1-1-1-111-1-1-1111-111-11-1-111-1-111-11-11-1
χ12111111111-1-1111111-111111-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-11-1-1-11-1-1-1-111-1-1-11111-1-1-111-11-111-1-11-11-11
χ13111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-111-11111-11111-1-1111-1-1-11-11-11-1-111-1-1-1-11-1-111
χ14111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-11-1-11-111-11111-1-1111-1-1-1-11-1-111-11-11111-111-1-1
χ15111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11-111-1111-11111-1-1-1-1-1111-1111-1-11-11-1-1-1-1-111-11
χ16111111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11-1-11-1-111-11111-1-1-1-1-11111-1-11-111-1-111111-1-11-1
χ172222-122-1222-1-1-12-1-12-12-1-12-1-1-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1220220222-1-1-1-1-1-12-1-12-1-1000-1-10-1-10000000000
χ182222-122-1222-1-1-12-1-12-12-1-12-1-1-1-12222-1-1-1-1-1-2-2-111112-1-1-1-1-2-20-2-20222-1-1-1-1-1-1-211-211000110110000000000
χ192222-122-1222-1-1-12-1-12-12-1-12-1-1-1-122-2-21111-122-1-1-1-1-12-1-1-1-1-2-20-2-20-2-2-21111112-1-12-1-1000110110000000000
χ202222-122-1222-1-1-12-1-12-12-1-12-1-1-1-122-2-21111-1-2-2-111112-1-1-1-1220220-2-2-2111111-211-211000-1-10-1-10000000000
χ212222-122-12-2-2-1-1-12-1-1-2-12-1-121111-2-222-1-1-1-1-12-2-1-1-111-211112-202-20-2-221111-1-12-1-1-211000-110-110000000000
χ222222-122-12-2-2-1-1-12-1-1-2-12-1-121111-2-222-1-1-1-1-1-22-111-1-1-21111-220-220-2-221111-1-1-2112-1-10001-101-10000000000
χ232222-122-12-2-2-1-1-12-1-1-2-12-1-121111-2-2-2-21111-12-2-1-1-111-21111-220-22022-2-1-1-1-1112-1-1-2110001-101-10000000000
χ242222-122-12-2-2-1-1-12-1-1-2-12-1-121111-2-2-2-21111-1-22-111-1-1-211112-202-2022-2-1-1-1-111-2112-1-1000-110-110000000000
χ25222-12222-12222-1-1-1222-1-1-1-12222-1-1000000-122-12222-1-1-1-1-1002002000000000-1-1-1-1-1-122-100200-1-1-100-1-1000
χ26222-12222-12222-1-1-1222-1-1-1-12222-1-1000000-122-12222-1-1-1-1-100-200-2000000000-1-1-1-1-1-1-2-2100-2001110011000
χ27222-12222-12222-1-1-1222-1-1-1-12222-1-1000000-1-2-2-1-2-2-2-2-1-1-1-1-1002002000000000111111-2-2-100200-1-1-10011000
χ28222-12222-12222-1-1-1222-1-1-1-12222-1-1000000-1-2-2-1-2-2-2-2-1-1-1-1-100-200-200000000011111122100-20011100-1-1000
χ29222-12222-1-2-222-1-1-12-22-1-1-1-1-2-2-2-211000000-12-2-122-2-211111002002000000000-1-1-11112-2-100-200-11100-11000
χ30222-12222-1-2-222-1-1-12-22-1-1-1-1-2-2-2-211000000-12-2-122-2-21111100-200-2000000000-1-1-1111-221002001-1-1001-1000
χ31222-12222-1-2-222-1-1-12-22-1-1-1-1-2-2-2-211000000-1-22-1-2-22211111002002000000000111-1-1-1-22-100-200-111001-1000
χ32222-12222-1-2-222-1-1-12-22-1-1-1-1-2-2-2-211000000-1-22-1-2-2221111100-200-2000000000111-1-1-12-21002001-1-100-11000
χ3322-2222-22200222-22-20-2222-2000000222222-200-200000000000200-200-20000-2-200000000200000-200-2200000
χ3422-2222-22200222-22-20-2222-2000000222222-200-200000000000-200200-20000-2-200000000-2000002002-200000
χ3522-2222-22200222-22-20-2222-2000000-2-2-2-2-2-2-200-200000000000200-200200002200000000200000-2002-200000
χ3622-2222-22200222-22-20-2222-2000000-2-2-2-2-2-2-200-200000000000-200200200002200000000-200000200-2200000
χ3722-222-222222-2-22-22-2-22-2-2-2222-2-222000000-20020000-222-2-2220-2-20000000000000000000220-2-20000000000
χ3822-222-222222-2-22-22-2-22-2-2-2222-2-222000000-20020000-222-2-2-2-20220000000000000000000-2-20220000000000
χ3922-222-2222-2-2-2-22-22-222-2-2-22-2-222-2-2000000-200200002-2-2222-20-2200000000000000000002-20-220000000000
χ4022-222-2222-2-2-2-22-22-222-2-2-22-2-222-2-2000000-200200002-2-222-2202-20000000000000000000-2202-20000000000
χ4122-22-1-22-122211-1-2-11-2-1-2112-1-111220033−3−3100-13−33−3-2-1-111220-2-2000033−3−33−303−303−3000-1-10110000000000
χ4222-22-1-22-122211-1-2-11-2-1-2112-1-111220033−3−3100-1−33−33-2-1-111-2-2022000033−3−33−30−330−33000110-1-10000000000
χ4322-22-1-22-122211-1-2-11-2-1-2112-1-1112200−3−333100-13−33−3-2-1-111-2-20220000−3−333−3303−303−3000110-1-10000000000
χ4422-22-1-22-122211-1-2-11-2-1-2112-1-1112200−3−333100-1−33−33-2-1-111220-2-20000−3−333−330−330−33000-1-10110000000000
χ4522-22-1-22-12-2-211-1-2-112-1-211211-1-1-2-20033−3−3100-13−3−33211-1-12-20-220000−3−3333−303−30−33000-1101-10000000000
χ4622-22-1-22-12-2-211-1-2-112-1-211211-1-1-2-20033−3−3100-1−333−3211-1-1-2202-20000−3−3333−30−3303−30001-10-110000000000
χ4722-22-1-22-12-2-211-1-2-112-1-211211-1-1-2-200−3−333100-13−3−33211-1-1-2202-2000033−3−3−3303−30−330001-10-110000000000
χ4822-22-1-22-12-2-211-1-2-112-1-211211-1-1-2-200−3−333100-1−333−3211-1-12-20-22000033−3−3−330−3303−3000-1101-10000000000
χ4944444-4-44400-4-444440-4-4-4-4-4000000000000400-4000000000000000000000000000000000000000000000000
χ504444-2-4-4-240022-24-2-202-422-4000000002323−23−23-20020000000000000000000000−2323000000000000000000000000
χ514444-2-4-4-240022-24-2-202-422-400000000−23−232323-2002000000000000000000000023−23000000000000000000000000
χ52444-24-4-44-200-4-4-2-2-240-42222000000000000-200200000000000000000000000000000000000000023−230000000
χ53444-24-4-44-200-4-4-2-2-240-42222000000000000-2002000000000000000000000000000000000000000−23230000000
χ54444-2-244-2-244-2-21-21-24-2-211-2-2-2-2-2-2-20000001441-2-2-2-2-21111000000000000000-211-211000000000000000000
χ55444-2-244-2-244-2-21-21-24-2-211-2-2-2-2-2-2-20000001-4-412222-211110000000000000002-1-12-1-1000000000000000000
χ56444-2-244-2-2-4-4-2-21-21-2-4-2-211-222222200000014-41-2-2222-1-1-1-1000000000000000-2112-1-1000000000000000000
χ57444-2-244-2-2-4-4-2-21-21-2-4-2-211-22222220000001-44122-2-22-1-1-1-10000000000000002-1-1-211000000000000000000
χ5844-44-24-4-2400-2-2-2-4-22024-2-2-400000044-2-2-2-2200200000000000000000-4000022000000000000000000000000
χ5944-44-24-4-2400-2-2-2-4-22024-2-2-4000000-4-4222220020000000000000000040000-2-2000000000000000000000000
χ6044-4-244-44-20044-22-2-40-4-2-2-22000000000000200200000000000400-400000000000000000-2000002000000000
χ6144-4-244-44-20044-22-2-40-4-2-2-22000000000000200200000000000-400400000000000000000200000-2000000000
χ6244-4-24-444-244-4-4-22-2-4-44222-244-4-4-2-2000000200-200002-2-222000000000000000000000000000000000000000
χ6344-4-24-444-2-4-4-4-4-22-2-444222-2-4-44422000000200-20000-222-2-2000000000000000000000000000000000000000
χ6444-4-2-2-44-2-244221212-4-22-1-1-2-2-222-2-2000000-100123−2323−23211-1-10000000000000000−330−33000000000000000000
χ6544-4-2-2-44-2-244221212-4-22-1-1-2-2-222-2-2000000-1001−2323−2323211-1-100000000000000003−303−3000000000000000000
χ6644-4-2-2-44-2-2-4-42212124-22-1-1-222-2-222000000-100123−23−2323-2-1-1110000000000000000−3303−3000000000000000000
χ6744-4-2-2-44-2-2-4-42212124-22-1-1-222-2-222000000-1001−232323−23-2-1-11100000000000000003−30−33000000000000000000
χ684-404400-4-422−220040-4000000022−220022−22−2i22i2−2i22i2−2i22i200000000022−22000000002i−2i02i−2i2i−2i00000000000000000000000000
χ694-404400-4-422−220040-4000000022−220022−222i2−2i22i2−2i22i2−2i200000000022−2200000000−2i2i0−2i2i−2i2i00000000000000000000000000
χ704-404400-4-4−22220040-40000000−222200−2222−2i22i2−2i22i2−2i22i2000000000−222200000000−2i2i0−2i2i−2i2i00000000000000000000000000
χ714-404400-4-4−22220040-40000000−222200−22222i2−2i22i2−2i22i2−2i2000000000−2222000000002i−2i02i−2i2i−2i00000000000000000000000000
χ724-404-2002-422−2223−23-202000023−230−226−622−22−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000−226−60000002i−2i0−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000000000000000
χ734-404-2002-422−2223−23-202000023−230−226−622−222i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000−226−6000000−2i2i0ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000000000000000
χ744-404-2002-422−22−2323-2020000−23230−22−6622−22−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000−22−660000002i−2i0ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000000000000000
χ754-404-2002-422−22−2323-2020000−23230−22−6622−222i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000−22−66000000−2i2i0−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000000000000000
χ764-404-2002-4−222223−23-202000023−2302−2−66−2222−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000002−2−66000000−2i2i0ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000000000000000
χ774-404-2002-4−222223−23-202000023−2302−2−66−22222i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000002−2−660000002i−2i0−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000000000000000
χ784-404-2002-4−2222−2323-2020000−232302−26−6−2222−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000002−26−6000000−2i2i0−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000000000000000
χ794-404-2002-4−2222−2323-2020000−232302−26−6−22222i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000002−26−60000002i−2i0ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000000000000000
χ80888-4-4-8-8-4-400442-42-4044-2-24000000000000200-2000000000000000000000000000000000000000000000000
χ8188-8-4-48-8-4-400-4-4242404-4224000000000000-200-2000000000000000000000000000000000000000000000000
χ828-80-4800-8442−4200-404000000042−4200−2222000000000000000−222200000000000000000000000000000000000000000
χ838-80-4800-84−424200-4040000000−42420022−2200000000000000022−2200000000000000000000000000000000000000000
χ848-80-4-4004442−4243−4320-20000−23230−222226−26−22220000000000000002−2−66000000000000000000000000000000000000000
χ858-80-4-4004442−42−434320-2000023−230−2222−2626−22220000000000000002−26−6000000000000000000000000000000000000000
χ868-80-4-40044−424243−4320-20000−2323022−22−262622−22000000000000000−226−6000000000000000000000000000000000000000
χ878-80-4-40044−4242−434320-2000023−23022−2226−2622−22000000000000000−22−66000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.