Finite Group Databasebeta

← Group #11771482

Character table — Group #11771482

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444444444448888888812121212242424242424242424242424242424242424242424243636363672727272
order12222233446666666666121212126612121212121244444488881212121212121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ91-11-1-1111i−i111-1-1-1-1-11-1ii−i−i1-1i−iii−i−i11-1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ101-11-1-1111i−i111-1-1-1-1-11-1ii−i−i1-1i−iii−i−i11-1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ111-11-1-1111i−i111-1-1-1-1-11-1ii−i−i1-1i−iii−i−i-1-111−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ121-11-1-1111i−i111-1-1-1-1-11-1ii−i−i1-1i−iii−i−i-1-111−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ131-11-1-1111−ii111-1-1-1-1-11-1−i−iii1-1−ii−i−iii11-1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ141-11-1-1111−ii111-1-1-1-1-11-1−i−iii1-1−ii−i−iii11-1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ151-11-1-1111−ii111-1-1-1-1-11-1−i−iii1-1−ii−i−iii-1-111i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ161-11-1-1111−ii111-1-1-1-1-11-1−i−iii1-1−ii−i−iii-1-111i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ172222222222222222222222222222222200000000000000000000000000-2-2-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000000-2-2220000
χ192-22-2-22222i−2i222-2-2-2-2-22-22i2i−2i−2i2-22i−2i2i2i−2i−2i00000000000000000000000000-22−2i2i0000
χ202-22-2-2222−2i2i222-2-2-2-2-22-2−2i−2i2i2i2-2−2i2i−2i−2i2i2i00000000000000000000000000-222i−2i0000
χ214444441-24411-2111-2-211-2-2-2-2-2-2-2-211112222220000-1-1-1-1-1-1-1-10000000000000000
χ224444441-24411-2111-2-211-2-2-2-2-2-2-2-21111-2-2-2-2-2-20000111111110000000000000000
χ234444441-2-4-411-2111-2-2112222-2-222-1-1-1-12222-2-20000-1-1-1-111110000000000000000
χ244444441-2-4-411-2111-2-2112222-2-222-1-1-1-1-2-2-2-22200001111-1-1-1-10000000000000000
χ25444444-2144-2-21-2-2-211-2-211111111-2-2-2-2000000222200000000-1-1-1-1-1-1-1-100000000
χ26444444-2144-2-21-2-2-211-2-211111111-2-2-2-2000000-2-2-2-2000000001111111100000000
χ27444444-21-4-4-2-21-2-2-211-2-2-1-1-1-111-1-122220000002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ28444444-21-4-4-2-21-2-2-211-2-2-1-1-1-111-1-12222000000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ294444-4-444004-444-4-444-440000-4-40000000000000000000000000000000000000000
χ304444-4-4-2100-221-222112-23333-1-1-3-300000000000000000000003−33−33−33−300000000
χ314444-4-4-2100-221-222112-23333-1-1-3-30000000000000000000000−33−33−33−3300000000
χ324444-4-4-2100-221-222112-2-3-3-3-3-1-1330000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ334444-4-4-2100-221-222112-2-3-3-3-3-1-1330000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3444-4-4001-200-13213-3-22-3-123−2323−2300003−33−32-22-20000001-11-13−33−30000000000000000
χ3544-4-4001-200-13213-3-22-3-123−2323−2300003−33−3-22-22000000-11-11−33−330000000000000000
χ3644-4-4001-200-13213-3-22-3-1−2323−23230000−33−332-22-20000001-11-1−33−330000000000000000
χ3744-4-4001-200-13213-3-22-3-1−2323−23230000−33−33-22-22000000-11-113−33−30000000000000000
χ3844-4-4004400-40-44004-40-40000000000002-22-2000000-22-2200000000000000000000
χ3944-4-4004400-40-44004-40-4000000000000-22-220000002-22-200000000000000000000
χ404-44-44-444004-44-444-4-4-4-40000-440000000000000000000000000000000000000000
χ414-44-44-4-2100-2212-2-2-1-1223i3i−3i−3i-11−3i3i0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000
χ424-44-44-4-2100-2212-2-2-1-1223i3i−3i−3i-11−3i3i0000000000000000000000−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000
χ434-44-44-4-2100-2212-2-2-1-122−3i−3i3i3i-113i−3i0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000
χ444-44-44-4-2100-2212-2-2-1-122−3i−3i3i3i-113i−3i0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000
χ454-44-4-441-24i−4i11-2-1-1-1221-1−2i−2i2i2i-22−2i2iii−i−i22-2-22i−2i0000-1-111−i−iii0000000000000000
χ464-44-4-441-24i−4i11-2-1-1-1221-1−2i−2i2i2i-22−2i2iii−i−i-2-222−2i2i000011-1-1ii−i−i0000000000000000
χ474-44-4-441-2−4i4i11-2-1-1-1221-12i2i−2i−2i-222i−2i−i−iii22-2-2−2i2i0000-1-111ii−i−i0000000000000000
χ484-44-4-441-2−4i4i11-2-1-1-1221-12i2i−2i−2i-222i−2i−i−iii-2-2222i−2i000011-1-1−i−iii0000000000000000
χ494-44-4-44-214i−4i-2-21222-1-1-22ii−i−i1-1i−i−2i−2i2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000
χ504-44-4-44-214i−4i-2-21222-1-1-22ii−i−i1-1i−i−2i−2i2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000
χ514-44-4-44-21−4i4i-2-21222-1-1-22−i−iii1-1−ii2i2i−2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000
χ524-44-4-44-21−4i4i-2-21222-1-1-22−i−iii1-1−ii2i2i−2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000
χ534-4-44001-200-132-1-332-2-31−2i32i32i3−2i30000−i3i3i3−i32-2-220000001-1-11−i3i3i3−i30000000000000000
χ544-4-44001-200-132-1-332-2-31−2i32i32i3−2i30000−i3i3i3−i3-222-2000000-111-1i3−i3−i3i30000000000000000
χ554-4-44001-200-132-1-332-2-312i3−2i3−2i32i30000i3−i3−i3i32-2-220000001-1-11i3−i3−i3i30000000000000000
χ564-4-44001-200-132-1-332-2-312i3−2i3−2i32i30000i3−i3−i3i3-222-2000000-111-1−i3i3i3−i30000000000000000
χ574-4-44004400-40-4-400-44040000000000002-2-22000000-222-200000000000000000000
χ584-4-44004400-40-4-400-4404000000000000-222-20000002-2-2200000000000000000000
χ598888-8-82-4002-2-42-2-2-4-4-220000440000000000000000000000000000000000000000
χ6088-8-8002-400-2-642-66-446-20000000000000000000000000000000000000000000000
χ6188-8-800-420040-2-4002-20423−2323−230000−2323−23230000000000000000000000000000000000
χ6288-8-800-420040-2-4002-204−2323−2323000023−2323−230000000000000000000000000000000000
χ638-88-88-82-4002-2-4-22244-2-200004-40000000000000000000000000000000000000000
χ648-8-88002-400-2-64-26-64-4620000000000000000000000000000000000000000000000
χ658-8-8800-420040-2400-220-4−2i32i32i3−2i300002i3−2i3−2i32i30000000000000000000000000000000000
χ668-8-8800-420040-2400-220-42i3−2i3−2i32i30000−2i32i32i3−2i30000000000000000000000000000000000

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