Finite Group Databasebeta

← Group #11778075

Character table — Group #11778075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444444444488888888888888888888888824242424242424242424242424242424363648484848727272
order1222223366666634466666666666121212124412121212121212121212121212121212121212121212244488882424242424242424446121212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ611111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-111-1-111-1
χ711111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11111-1
χ811111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11
χ9222222222222222-2-222222222222-2-2-2-200-2-2-2-2-2-20000000000000000000000000000000022000000-2
χ10222222222222222-2-222222222222-2-2-2-200-2-2-2-2-2-200000000000000000000000000000000-2-20000002
χ112222222-12-1-12-12-1222-1-1-1-1-12-1-1-1-1-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-120202200-1-1-1-1000000-1-100000
χ122222222-12-1-12-12-1222-1-1-1-1-12-1-1-1-1-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-20011110000001100000
χ132222222-12-1-12-12-1222-1-1-1-1-12-1-1-1-1-1-122-2-2-12-1-1-1-1-2-2-2-21111111111112020-2-2001111000000-1-100000
χ142222222-12-1-12-12-1222-1-1-1-1-12-1-1-1-1-1-122-2-2-12-1-1-1-1-2-2-2-2111111111111-20-202200-1-1-1-10000001100000
χ15222222-12-122-12-1-122-12-1-1-1-1-12-1-1-122-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1020200220000-1-1-1-10000-1-1000
χ16222222-12-122-12-1-122-12-1-1-1-1-12-1-1-122-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-20-200-2-200001111000011000
χ17222222-12-122-12-1-122-12-1-1-1-1-12-1-1-122-1-1-2-22-1-1-1-1-11111-2-2-2-211111111020200-2-2000011110000-1-1000
χ18222222-12-122-12-1-122-12-1-1-1-1-12-1-1-122-1-1-2-22-1-1-1-1-11111-2-2-2-2111111110-20-200220000-1-1-1-1000011000
χ192222-2-22222222222-2-2-222-2-2-2-22-2-222-2-200-2222-2-20000000000000000020-200000000000000002-2000
χ202222-2-22222222222-2-2-222-2-2-2-22-2-222-2-200-2222-2-200000000000000000-2020000000000000000-22000
χ212222-2-2222222222-22-2-222-2-2-2-22-2-2-2-222002-2-2-222000000000000000020-20000000000000002-200000
χ222222-2-2222222222-22-2-222-2-2-2-22-2-2-2-222002-2-2-2220000000000000000-202000000000000000-2200000
χ232222-2-22-12-1-12-12-1-22-21-1-111-21-111112200-1-211-1-1000033−3−33333−3−3−3−320-20000033−3−3000000-1100000
χ242222-2-22-12-1-12-12-1-22-21-1-111-21-111112200-1-211-1-1000033−3−33333−3−3−3−3-20200000−3−3330000001-100000
χ252222-2-22-12-1-12-12-1-22-21-1-111-21-111112200-1-211-1-10000−3−333−3−3−3−3333320-200000−3−333000000-1100000
χ262222-2-22-12-1-12-12-1-22-21-1-111-21-111112200-1-211-1-10000−3−333−3−3−3−33333-2020000033−3−30000001-100000
χ272222-2-2-12-122-12-1-12-21-2-1-1111-2-111221100-2-1-1-11133−3−3000033−3−333−3−3020-20000000033−3−30000-11000
χ282222-2-2-12-122-12-1-12-21-2-1-1111-2-111221100-2-1-1-11133−3−3000033−3−333−3−30-20200000000−3−33300001-1000
χ292222-2-2-12-122-12-1-12-21-2-1-1111-2-111221100-2-1-1-111−3−3330000−3−333−3−333020-200000000−3−3330000-11000
χ302222-2-2-12-122-12-1-12-21-2-1-1111-2-111221100-2-1-1-111−3−3330000−3−333−3−3330-2020000000033−3−300001-1000
χ312-22-22-2222-2-2-22-2200222-222-2-2-2-2-200000000000000000000000000000000−i2i22−2−i2i2−i2i22−22−22i−2i0000000
χ322-22-22-2222-2-2-22-2200222-222-2-2-2-2-200000000000000000000000000000000−i2i2−22−i2i2−i2i2−22−22−2i2i0000000
χ332-22-22-2222-2-2-22-2200222-222-2-2-2-2-200000000000000000000000000000000i2−i22−2i2−i2i2−i22−22−2−2i2i0000000
χ342-22-22-2222-2-2-22-2200222-222-2-2-2-2-200000000000000000000000000000000i2−i2−22i2−i2i2−i2−22−222i−2i0000000
χ354444444-24-2-24-24-2-4-44-2-2-2-2-24-2-2-2-222-4-4002-4222200000000000000000000000000000000000000000
χ36444444-24-244-24-2-2-4-4-24-2-2-2-2-24-2-2-2-4-42200-42222200000000000000000000000000000000000000000
χ37444444-2-2-2-2-2-2-2-2144-2-21111-2-2111-2-2-2-244-2-21111-2-2-2-2-2-2-2-2111111110000000000000000000000000
χ38444444-2-2-2-2-2-2-2-2144-2-21111-2-2111-2-2-2-2-4-4-2-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000
χ39444444-2-2-2-2-2-2-2-21-4-4-2-21111-2-211122220022-1-1-1-10000000033-3-3-3-3330000000000000000000000000
χ40444444-2-2-2-2-2-2-2-21-4-4-2-21111-2-211122220022-1-1-1-100000000-3-33333-3-30000000000000000000000000
χ414444-4-44-24-2-24-24-24-4-42-2-222-42-222-2-2-4-40024-2-22200000000000000000000000000000000000000000
χ424444-4-4-24-244-24-2-2-442-4-2-2222-4-222-4-4-2-2004222-2-200000000000000000000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-214-42211-1-1221-1-1-2-222002-211-1-12323−23−230000−3−333−3−3330000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-214-42211-1-1221-1-1-2-222002-211-1-1−23−232323000033−3−333−3−30000000000000000000000000
χ454444-4-4-2-2-2-2-2-2-2-21-442211-1-1221-1-122-2-200-22-1-11100002323−23−23−3−3−3−333330000000000000000000000000
χ464444-4-4-2-2-2-2-2-2-2-21-442211-1-1221-1-122-2-200-22-1-1110000−23−2323233333−3−3−3−30000000000000000000000000
χ4744-4-40044-44-44-4-440000-440000-40000002i−2i0000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000
χ4844-4-40044-44-44-4-440000-440000-4000000−2i2i000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000
χ4944-4-4004-2-4-2242-4-200002-2000020023−23002i−2i0023−23002i−2i2i−2i−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220000000000000000000000000
χ5044-4-4004-2-4-2242-4-200002-2000020023−2300−2i2i0023−2300−2i2i−2i2iζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ220000000000000000000000000
χ5144-4-4004-2-4-2242-4-200002-20000200−2323002i−2i00−2323002i−2i2i−2iζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220000000000000000000000000
χ5244-4-4004-2-4-2242-4-200002-20000200−232300−2i2i00−232300−2i2i−2i2i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ220000000000000000000000000
χ5344-4-400-2424-4-2-42-200002-200002000023−232i−2i000023−23−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ222i−2i2i−2i−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220000000000000000000000000
χ5444-4-400-2424-4-2-42-200002-200002000023−23−2i2i000023−23ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−2i2i−2i2iζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ220000000000000000000000000
χ5544-4-400-2424-4-2-42-200002-2000020000−23232i−2i0000−2323ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ222i−2i2i−2iζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220000000000000000000000000
χ5644-4-400-2424-4-2-42-200002-2000020000−2323−2i2i0000−2323−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−2i2i−2i2i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ220000000000000000000000000
χ5744-4-400-2-22-22-22210000-113-300-13-323−2323−232i−2i00−33−33−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ii−ii−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ220000000000000000000000000
χ5844-4-400-2-22-22-22210000-113-300-13-323−2323−23−2i2i00−33−33ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22i−ii−iζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ220000000000000000000000000
χ5944-4-400-2-22-22-22210000-113-300-13-3−2323−23232i−2i003−33−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ii−iiζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ220000000000000000000000000
χ6044-4-400-2-22-22-22210000-113-300-13-3−2323−2323−2i2i003−33−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22i−ii−i−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ220000000000000000000000000
χ6144-4-400-2-22-22-22210000-11-3300-1-3323−23−23232i−2i00−333−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−iiζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ii0000000000000000000000000
χ6244-4-400-2-22-22-22210000-11-3300-1-3323−23−2323−2i2i00−333−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22i−i−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22i−i0000000000000000000000000
χ6344-4-400-2-22-22-22210000-11-3300-1-33−232323−232i−2i003−3−33−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ii−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ii0000000000000000000000000
χ6444-4-400-2-22-22-22210000-11-3300-1-33−232323−23−2i2i003−3−33ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22i−iζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22i−i0000000000000000000000000
χ654-44-44-44-2422-4-2-4-2004-2-22-2-2-4222200000000000000000000000000000000−2i22i200i2−i2i2−i20000000000000
χ664-44-44-44-2422-4-2-4-2004-2-22-2-2-42222000000000000000000000000000000002i2−2i200−i2i2−i2i20000000000000
χ674-44-44-4-24-2-4-4242-200-24-22-2-22-4222000000000000000000000000000000000022−220000−22−22000000000
χ684-44-44-4-24-2-4-4242-200-24-22-2-22-42220000000000000000000000000000000000−222200002−22−2000000000
χ694-44-4-44444-4-4-44-4400-4-44-4-4-444-44400000000000000000000000000000000000000000000000000000
χ704-44-4-444-2422-4-2-4-200-42-22224-22-2-2000000000000000000000000000000000000i6−i6−i6i60000000000000
χ714-44-4-444-2422-4-2-4-200-42-22224-22-2-2000000000000000000000000000000000000−i6i6i6−i60000000000000
χ724-44-4-44-24-2-4-4242-2002-4-2222-242-2-200000000000000000000000000000000000000006−6−66000000000
χ734-44-4-44-24-2-4-4242-2002-4-2222-242-2-20000000000000000000000000000000000000000−666−6000000000
χ744-4-440044-4-44-4-4440000-4-40000400000000000000000000000000000000000000000000000000002-20
χ754-4-440044-4-44-4-4440000-4-4000040000000000000000000000000000000000000000000000000000-220
χ768-88-88-8-4-4-4444-44200-4-42-22244-2-2-200000000000000000000000000000000000000000000000000000
χ778-88-8-88-4-4-4444-44200442-2-2-2-4-4-22200000000000000000000000000000000000000000000000000000
χ788-8-88008-4-84-4-848-40000440000-40000000000000000000000000000000000000000000000000000000
χ798-8-8800-484-884-8-4-40000440000-40000000000000000000000000000000000000000000000000000000
χ808-8-8800-4-444-444-420000-2-26-6002-6600000000000000000000000000000000000000000000000000000
χ818-8-8800-4-444-444-420000-2-2-660026-600000000000000000000000000000000000000000000000000000

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