Finite Group Databasebeta

← Group #11799118

Character table — Group #11799118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444466888888888888888888888881212121212121212121212242424242424242448484848487272144
order122334466881212242424243666812121212122424242424242424886121616242424484848484848484848484848484848484481212121224242424881616484848482662424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11111-1
χ4111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-11
χ511111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1
χ611111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11
χ811111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ9222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-2222200-2-2-20000000000000000-2-22-2-2-2-222220000000000000000
χ10222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-2-2-22200-2-2-2000000000000000022-22222-2-2-2-20000000000000000
χ112222-1222-122222222-1-1-122-1-1-12-122-1-1-1-1-1-100-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000220000002-1-1-1-1000
χ122222-1222-122222222-1-1-122-1-1-12-122-1-1-1-1-1-100-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2000000-21111000
χ132222-1222-122222222-1-1-122-1-1-12-122-1-1-1-1-1-100-1-1-2-2-1-1-1-2-2-2-21111111111110000000000022000000-211-1-1000
χ142222-1222-122222222-1-1-122-1-1-12-122-1-1-1-1-1-100-1-1-2-2-1-1-1-2-2-2-211111111111100000000000-2-20000002-1-111000
χ15222-1222-1222-1-1-1-1-1-1-12-1-122-1-1-12-1-122-1-1-1-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10022-1-1-1-100000000
χ16222-1222-1222-1-1-1-1-1-1-12-1-122-1-1-12-1-122-1-1-1-122-1-1-2-22-1-11111-2-2-2-211111111222-1-1-1-1-1-1-1-100-2-2111100000000
χ17222-1222-1222-1-1-1-1-1-1-12-1-122-1-1-12-1-122-1-1-1-1-2-2-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21111111100-2-2111100000000
χ18222-1222-1222-1-1-1-1-1-1-12-1-122-1-1-12-1-122-1-1-1-1-2-2-1-1-2-22-1-11111-2-2-2-211111111-2-2-2111111110022-1-1-1-100000000
χ19222-1222-12-2-2-1-11111-12-1-1-22-1-1-1211-2-2111122-1-100-21133−3−300003333−3−3−3−3-2-221111-1-1-1-1000033−3−300000000
χ20222-1222-12-2-2-1-11111-12-1-1-22-1-1-1211-2-2111122-1-100-211−3−3330000−3−3−3−33333-2-221111-1-1-1-10000−3−33300000000
χ21222-1222-12-2-2-1-11111-12-1-1-22-1-1-1211-2-21111-2-2-1-100-21133−3−300003333−3−3−3−322-2-1-1-1-111110000−3−33300000000
χ22222-1222-12-2-2-1-11111-12-1-1-22-1-1-1211-2-21111-2-2-1-100-211−3−3330000−3−3−3−3333322-2-1-1-1-11111000033−3−300000000
χ2322-2222-222222222222-22-2-2222-2-2-2-222222200-2-200-2-2-200000000000000000000000000000000000000002-20
χ2422-2222-222222222222-22-2-2222-2-2-2-222222200-2-200-2-2-20000000000000000000000000000000000000000-220
χ2522-2222-222-2-222-2-2-2-22-22-22222-2-222-2-2-2-2-2-200-2-2002220000000000000000000000000002i−2i0000000002i−2i000
χ2622-2222-222-2-222-2-2-2-22-22-22222-2-222-2-2-2-2-2-200-2-200222000000000000000000000000000−2i2i000000000−2i2i000
χ2722-222-222200-2-200002-22-20-2-2-2220000000022-222−20002−22−222−2−222−2−222−2−200-2000022-2-2002−22−22−200000000
χ2822-222-222200-2-200002-22-20-2-2-2220000000022-22−22000−22−22−2−222−2−222−2−22200-2000022-2-200−22−22−2200000000
χ2922-222-222200-2-200002-22-20-2-2-22200000000-2-2-222−20002−22−222−2−222−2−222−2−20020000-2-22200−22−22−2200000000
χ3022-222-222200-2-200002-22-20-2-2-22200000000-2-2-22−22000−22−22−2−222−2−222−2−2220020000-2-222002−22−22−200000000
χ3122-22-12-22-1-2-222-2-2-2-2-11-1-22-1-1-1-2122111111001100-1-1-100003−33−33−33−33−33−3000000000002i−2i0000000−i3i3−ii000
χ3222-22-12-22-1-2-222-2-2-2-2-11-1-22-1-1-1-2122111111001100-1-1-100003−33−33−33−33−33−300000000000−2i2i0000000i3−i3i−i000
χ3322-22-12-22-1-2-222-2-2-2-2-11-1-22-1-1-1-2122111111001100-1-1-10000−33−33−33−33−33−33000000000002i−2i0000000i3−i3−ii000
χ3422-22-12-22-1-2-222-2-2-2-2-11-1-22-1-1-1-2122111111001100-1-1-10000−33−33−33−33−33−3300000000000−2i2i0000000−i3i3i−i000
χ3522-2-12-22-12001133−3−3-1-2-110-211-123−30033−3−3221-12−203−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300-233−3−3-1-111002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ3622-2-12-22-12001133−3−3-1-2-110-211-123−30033−3−3221-1−2203−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300-233−3−3-1-11100−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ3722-2-12-22-12001133−3−3-1-2-110-211-123−30033−3−3-2-21-12−203−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23002−3−33311-1-100−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ3822-2-12-22-12001133−3−3-1-2-110-211-123−30033−3−3-2-21-1−2203−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23002−3−33311-1-1002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ3922-2-12-22-120011−3−333-1-2-110-211-12−3300−3−333221-12−20−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700-2−3−333-1-111002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ4022-2-12-22-120011−3−333-1-2-110-211-12−3300−3−333221-1−220−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700-2−3−333-1-11100−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ4122-2-12-22-120011−3−333-1-2-110-211-12−3300−3−333-2-21-12−20−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700233−3−311-1-100−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ4222-2-12-22-120011−3−333-1-2-110-211-12−3300−3−333-2-21-1−220−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700233−3−311-1-1002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ4344444-4-44400-4-4000044440-4-4-4-4-400000000004-4000000000000000000000000000000000000000000000000
χ444444-2444-2-4-444-4-4-4-4-2-2-24-4-2-2-24-2-4-422222200-2-2002220000000000000000000000000000000000000000000
χ454444-2-4-44-200-4-40000-2-2-240222-420000000000-220000000006−6−666−6−666−6−66000000000000000000000000000
χ464444-2-4-44-200-4-40000-2-2-240222-420000000000-22000000000−666−6−666−6−666−6000000000000000000000000000
χ47444-24-4-4-2400222323−23−23-24-2-20-4222-4−2323002323−23−2300-22000−23230000000000000000000000000000000000000000000
χ48444-24-4-4-240022−23−232323-24-2-20-4222-423−2300−23−23232300-2200023−230000000000000000000000000000000000000000000
χ49444-2-244-2-244-2-2-2-2-2-21-21-24-211-2-2-2-2-2-21111001144-211-2-2-2-2-2-2-2-211111111000000000000000000000000000
χ50444-2-244-2-244-2-2-2-2-2-21-21-24-211-2-2-2-2-2-211110011-4-4-21122222222-1-1-1-1-1-1-1-1000000000000000000000000000
χ51444-2-244-2-2-4-4-2-222221-21-2-4-211-2-22222-1-1-1-10011002-1-12323−23−230000−3−3−3−33333000000000000000000000000000
χ52444-2-244-2-2-4-4-2-222221-21-2-4-211-2-22222-1-1-1-10011002-1-1−23−23232300003333−3−3−3−3000000000000000000000000000
χ53444-2-2-4-4-2-200222323−23−231-21-202-1-122−232300−3−333001-10003−300006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000
χ54444-2-2-4-4-2-200222323−23−231-21-202-1-122−232300−3−333001-10003−30000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000
χ55444-2-2-4-4-2-20022−23−2323231-21-202-1-12223−230033−3−3001-1000−3300006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000
χ56444-2-2-4-4-2-20022−23−2323231-21-202-1-12223−230033−3−3001-1000−330000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000
χ5744-44-24-44-244444444-22-2-4-4-2-2-2-42-4-4-2-2-2-2-2-20022002220000000000000000000000000000000000000000000
χ5844-44-2-444-200-4-40000-22-2-402224-200000000002-222−2200022−2222−22−2−222−2−222−2−222000000000000000000000000000
χ5944-44-2-444-200-4-40000-22-2-402224-200000000002-2−2222000−2222−222222−2−222−2−222−2−2000000000000000000000000000
χ6044-4-244-4-2444-2-2-2-2-2-2-2-4-22-44-2-22-42244-2-2-2-2002200-4220000000000000000000000000000000000000000000
χ6144-4-244-4-24-4-4-2-22222-2-4-2244-2-22-4-2-2-4-422220022004-2-20000000000000000000000000000000000000000000
χ6244-4-2-24-4-2-244-2-2-2-2-2-21212-4-2112222-2-2111100-1-1002-1-1000000003-33-3-33-33000000000000000000000000000
χ6344-4-2-24-4-2-244-2-2-2-2-2-21212-4-2112222-2-2111100-1-1002-1-100000000-33-333-33-3000000000000000000000000000
χ6444-4-2-24-4-2-2-4-4-2-2222212124-21122-2-222-1-1-1-100-1-100-211000023−2323−23−33−33−33−33000000000000000000000000000
χ6544-4-2-24-4-2-2-4-4-2-2222212124-21122-2-222-1-1-1-100-1-100-2110000−2323−23233−33−33−33−3000000000000000000000000000
χ6644-4-2-2-44-2-200222323−23−23121202-1-1-2-223−2300−3−33300-1122−220−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000000000000000000000000
χ6744-4-2-2-44-2-200222323−23−23121202-1-1-2-223−2300−3−33300-11−22220−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000000000000000000000000
χ6844-4-2-2-44-2-20022−23−232323121202-1-1-2-2−23230033−3−300-1122−2203−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000000000000000000
χ6944-4-2-2-44-2-20022−23−232323121202-1-1-2-2−23230033−3−300-11−222203−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000000000000000000
χ704-404400-4-422−220022−2222−2240-400000000022−2222−2222−2222−22000000000000000000000002-202-22-222−22000000000000000000
χ714-404400-4-422−220022−2222−2240-400000000022−2222−2222−22−222200000000000000000000000-220-22-22−2222000000000000000000
χ724-404400-4-4−222200−2222−222240-4000000000−2222−2222−222222−2200000000000000000000000-220-22-2222−22000000000000000000
χ734-404400-4-4−222200−2222−222240-4000000000−2222−2222−2222−2222000000000000000000000002-202-22-2−2222000000000000000000
χ744-40-24002-422−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23-20200023−23000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2322−22000000000000000000000002-20−1+31−3−1−31+3−226−60000000000000000
χ754-40-24002-422−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23-20200023−23000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−222200000000000000000000000-2201−3−1+31+3−1−32−2−660000000000000000
χ764-40-24002-422−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7-202000−2323000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ722−22000000000000000000000002-20−1−31+3−1+31−3−22−660000000000000000
χ774-40-24002-422−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7-202000−2323000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−222200000000000000000000000-2201+3−1−31−3−1+32−26−60000000000000000
χ784-40-24002-4−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23-20200023−230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2322−2200000000000000000000000-2201−3−1+31+3−1−3−226−60000000000000000
χ794-40-24002-4−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23-20200023−230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2222000000000000000000000002-20−1+31−3−1−31+32−2−660000000000000000
χ804-40-24002-4−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7-202000−23230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ722−2200000000000000000000000-2201+3−1−31−3−1+3−22−660000000000000000
χ814-40-24002-4−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7-202000−23230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2222000000000000000000000002-20−1−31+3−1+31−32−26−60000000000000000
χ828-808-400-8442−420042−4242−42-404000000000−2222−2222−22220000000000000000000000000000000000000000000000000000
χ838-808-400-84−424200−4242−4242-40400000000022−2222−2222−220000000000000000000000000000000000000000000000000000
χ848-80-4-4004442−4243−434ζ5−4ζ7−4ζ5+4ζ74ζ13−4ζ23−4ζ13+4ζ2320-2000−23230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000000000
χ858-80-4-4004442−42−43434ζ13−4ζ23−4ζ13+4ζ234ζ5−4ζ7−4ζ5+4ζ720-200023−230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000000000
χ868-80-4-40044−424243−43−4ζ5+4ζ74ζ5−4ζ7−4ζ13+4ζ234ζ13−4ζ2320-2000−2323000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000000000
χ878-80-4-40044−4242−4343−4ζ13+4ζ234ζ13−4ζ23−4ζ5+4ζ74ζ5−4ζ720-200023−23000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000000000

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