Finite Group Databasebeta

← Group #11798620

Character table — Group #11798620

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1124444444444444448888888888121212122424242424242424242424243636484848484872144144
order1222334466666612121212666612121212121244442244661212121212122446121212448
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111111111111-1-1-1-1-11-1-1
χ31111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ5111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1-111-1-11111-11-1-11-11-1
χ6111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111111-111-1-1-11
χ7111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-111-11-1-11-1-11
χ8111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1111-111-1-11-1
χ922222222222222222222222222220000000000000000-2-200000-200
χ10222222-2-2222222-2-2-2-22222-2-2-2-2-2-20000000000000000-2-200000200
χ11222-2220022-2-22200002-2-2-20000000022-2000-2-2002200-2200000000
χ12222-2220022-2-22200002-2-2-200000000-2-220002200-2-200-2200000000
χ13222-2220022-2-22200002-2-2-20000002200000-200-2-200222-200000000
χ14222-2220022-2-22200002-2-2-2000000-2-2000002002200-2-22-200000000
χ1544441-24411-2-21-21111-211-211-2-2-2-222222002-1-1-1-1-1-1-1-10000000000
χ1644441-24411-2-21-21111-211-211-2-2-2-2-2-2-2-2-200-2111111110000000000
χ1744441-2-4-411-2-21-2-1-1-1-1-211-2-1-1222222-2-2-200211-1-111-1-10000000000
χ1844441-2-4-411-2-21-2-1-1-1-1-211-2-1-12222-2-222200-2-1-111-1-1110000000000
χ194444-2144-2-211-21-2-2-2-21-2-21-2-211110000022000000000002-1-1-1-1000
χ204444-2144-2-211-21-2-2-2-21-2-21-2-2111100000-2-200000000000-21111000
χ214444-21-4-4-2-211-2122221-2-2122-1-1-1-1000002200000000000-2-111-1000
χ224444-21-4-4-2-211-2122221-2-2122-1-1-1-100000-2-20000000000021-1-11000
χ23444-41-20011221-23333-2-1-12-3-300002222-200-21111-1-1-1-10000000000
χ24444-41-20011221-23333-2-1-12-3-30000-2-2-2-22002-1-1-1-111110000000000
χ25444-41-20011221-2-3-3-3-3-2-1-1233000022-2-2200-2-1-11111-1-10000000000
χ26444-41-20011221-2-3-3-3-3-2-1-12330000-2-222-200211-1-1-1-1110000000000
χ2744-404400-4-400440000-4000000000000002-2000000000000200-2000
χ2844-404400-4-400440000-400000000000000-22000000000000-2002000
χ2944-40-210022-3-3-21−2i3−2i32i32i3-100300−i3−i3i3i3000002-2000000000000-1−i3i31000
χ3044-40-210022-3-3-21−2i3−2i32i32i3-100300−i3−i3i3i300000-220000000000001i3−i3-1000
χ3144-40-210022-3-3-212i32i3−2i3−2i3-100300i3i3−i3−i3000002-2000000000000-1i3−i31000
χ3244-40-210022-3-3-212i32i3−2i3−2i3-100300i3i3−i3−i300000-220000000000001−i3i3-1000
χ334-4001-22i−2i3-3−2i32i3-12−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ110−i3i30i−i−2ζ72ζ72ζ11−2ζ112i−2i2-20000−i3i33−31-1i−i0000000000
χ344-4001-22i−2i3-3−2i32i3-12−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ110−i3i30i−i−2ζ72ζ72ζ11−2ζ11−2i2i-220000i3−i3−33-11−ii0000000000
χ354-4001-22i−2i3-32i3−2i3-12−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ110i3−i30i−i−2ζ112ζ112ζ7−2ζ72i−2i2-20000i3−i3−331-1i−i0000000000
χ364-4001-22i−2i3-32i3−2i3-12−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ110i3−i30i−i−2ζ112ζ112ζ7−2ζ7−2i2i-220000−i3i33−3-11−ii0000000000
χ374-4001-2−2i2i3-3−2i32i3-123ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ110−i3i30−ii2ζ7−2ζ7−2ζ112ζ112i−2i-220000i3−i33−3-11i−i0000000000
χ384-4001-2−2i2i3-3−2i32i3-123ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ110−i3i30−ii2ζ7−2ζ7−2ζ112ζ11−2i2i2-20000−i3i3−331-1−ii0000000000
χ394-4001-2−2i2i3-32i3−2i3-12ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ110i3−i30−ii2ζ11−2ζ11−2ζ72ζ72i−2i-220000−i3i3−33-11i−i0000000000
χ404-4001-2−2i2i3-32i3−2i3-12ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ110i3−i30−ii2ζ11−2ζ11−2ζ72ζ7−2i2i2-20000i3−i33−31-1−ii0000000000
χ414-400442i−2i0000-4-42i−2i−2i2i0000−2i2i−2i2i2i−2i2i−2i2-200000000-22−2i2i0000000000
χ424-400442i−2i0000-4-42i−2i−2i2i0000−2i2i−2i2i2i−2i−2i2i-22000000002-22i−2i0000000000
χ434-40044−2i2i0000-4-4−2i2i2i−2i00002i−2i2i−2i−2i2i2i−2i-22000000002-2−2i2i0000000000
χ444-40044−2i2i0000-4-4−2i2i2i−2i00002i−2i2i−2i−2i2i−2i2i2-200000000-222i−2i0000000000
χ45888-8-4200-4-4-2-2-420000244-200000000000000000000000000000000
χ4688-802-400-2-2002-4−2i3−2i32i32i34000002i32i3−2i3−2i300000000000000000000000000
χ4788-802-400-2-2002-42i32i3−2i3−2i3400000−2i3−2i32i32i300000000000000000000000000
χ4888-80-42004466-420000-200-600000000000000000000000000000000
χ498-8002-44i−4i-6600-24−2i2i2i−2i0000−4i4i2i−2i−2i2i00000000000000000000000000
χ508-8002-4−4i4i-6600-242i−2i−2i2i00004i−4i−2i2i2i−2i00000000000000000000000000
χ518-800-424i−4i00−2i32i34-24ζ7−4ζ7−4ζ114ζ1102i3−2i302i−2i2ζ11−2ζ11−2ζ72ζ700000000000000000000000000
χ528-800-424i−4i002i3−2i34-24ζ11−4ζ11−4ζ74ζ70−2i32i302i−2i2ζ7−2ζ7−2ζ112ζ1100000000000000000000000000
χ538-800-42−4i4i00−2i32i34-2−4ζ74ζ74ζ11−4ζ1102i3−2i30−2i2i−2ζ112ζ112ζ7−2ζ700000000000000000000000000
χ548-800-42−4i4i002i3−2i34-2−4ζ114ζ114ζ7−4ζ70−2i32i30−2i2i−2ζ72ζ72ζ11−2ζ1100000000000000000000000000

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