Finite Group Databasebeta

← Group #11865291

Character table — Group #11865291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order12222336666366666666466121212121212121222444412121212466121212122442222266666666666666646612121212121212122244441212121246612121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-111111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-1
χ31111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-11111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-111111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-1
χ611111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-1111111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-11
χ711111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-11
χ811111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1
χ9222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000
χ10222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000
χ11222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000
χ12222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000
χ1322222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-10000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-100000
χ1422222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-201111010010000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-2011110100100000
χ1522222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-10000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-100000
χ1622222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-1010010000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-10100100000
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χ20222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i3-202000i3i3−i3−i30100-100000222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i3-202000i3i3−i3−i30100-100000
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χ2822-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−30-200020000001-10−3300022-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−30-200020000001-10−33000
χ2922-2-222-1-2-2-12-1-22-1-1111101-100−33−33−3302000-2000000-110−3300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−3302000-2000000-110−33000
χ3022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−330-200020000001-103−300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−330-200020000001-103−3000
χ3144444-2-2-2-2-2-21-2-2-21-211-2411-2-2-2-211110000000000000000000044444-2-2-2-2-2-21-2-2-21-211-2411-2-2-2-2111100000000000000000000
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χ434-40004400-4-44000-40000000000000000002i−2i02i−2i2i−2i00000000004-40004400-4-44000-40000000000000000002i−2i02i−2i2i−2i0000000000
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χ464-4000-24−2i32i3-42-200020−2i32i3000000000000000−2i2i0−2ζ112ζ11−2ζ72ζ700000000004-4000-24−2i32i3-42-200020−2i32i3000000000000000−2i2i0−2ζ112ζ11−2ζ72ζ70000000000
χ474-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ1100000000004-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ110000000000
χ484-4000-242i3−2i3-42-2000202i3−2i3000000000000000−2i2i0−2ζ72ζ7−2ζ112ζ1100000000004-4000-242i3−2i3-42-2000202i3−2i3000000000000000−2i2i0−2ζ72ζ7−2ζ112ζ110000000000
χ498-80008-4004-8-40004000000000000000000000000000000000008-80008-4004-8-4000400000000000000000000000000000000000
χ508-8000-4-4−4i34i3442000-202i3−2i3000000000000000000000000000000008-8000-4-4−4i34i3442000-202i3−2i300000000000000000000000000000000
χ518-8000-4-44i3−4i3442000-20−2i32i3000000000000000000000000000000008-8000-4-44i3−4i3442000-20−2i32i300000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5311111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-11-111-111111
χ541111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11111-11-1-11-1-1111
χ551111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1
χ5611111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-111111-1-1-1-111-1-11
χ5711111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-11-11111111-1-111-1-1-111-1
χ5811111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-11-1-1-1-1-1-1-111-1-111111-1
χ5911111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-11-1-1-1-1-11111-1-1-1-11
χ60222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000-2-2-2-2-2-21-2-21-21-2-2111111-211-2-21111110-2000-20000-2011011000
χ61222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000-2-2-2-2-2-21-2-21-21-2-2111111-211-2-2111111020002000020-1-10-1-1000
χ62222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000-2-2-2-2-2-21-2-21-21-2-211111121122-1-1-1-1-1-10-2000-2000020110-1-1000
χ63222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000-2-2-2-2-2-21-2-21-21-2-211111121122-1-1-1-1-1-10200020000-20-1-1011000
χ6422222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-100000-2-2-2-2-21-211-21111-21-211-2-21111-2-21111-20-2-2-2011110100100000
χ6522222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-2011110100100000-2-2-2-2-21-211-21111-21-211-2-21111-2-21111202220-1-1-1-10-100-100000
χ6622222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-100000-2-2-2-2-21-211-21111-21-211-2211-1-122-1-1-1-1-20-2220-1-1-1-10100100000
χ6722222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-10100100000-2-2-2-2-21-211-21111-21-211-2211-1-122-1-1-1-1202-2-2011110-100-100000
χ68222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000-2-2-222-2-2-2-2-2-2-2222-2-2-2-2202200000000-20200000000-200200000
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χ944-40004400-4-44000-40000000000000000002i−2i02i−2i2i−2i0000000000-44000-4-40044-40004000000000000000000−2i2i0−2i2i−2i2i0000000000
χ954-40004400-4-44000-4000000000000000000−2i2i0−2i2i−2i2i0000000000-44000-4-40044-400040000000000000000002i−2i02i−2i2i−2i0000000000
χ964-4000-24−2i32i3-42-200020−2i32i30000000000000002i−2i02ζ11−2ζ112ζ7−2ζ70000000000-440002-42i3−2i34-22000-202i3−2i3000000000000000−2i2i0−2ζ112ζ11−2ζ72ζ70000000000
χ974-4000-24−2i32i3-42-200020−2i32i3000000000000000−2i2i0−2ζ112ζ11−2ζ72ζ70000000000-440002-42i3−2i34-22000-202i3−2i30000000000000002i−2i02ζ11−2ζ112ζ7−2ζ70000000000
χ984-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ110000000000-440002-4−2i32i34-22000-20−2i32i3000000000000000−2i2i0−2ζ72ζ7−2ζ112ζ110000000000
χ994-4000-242i3−2i3-42-2000202i3−2i3000000000000000−2i2i0−2ζ72ζ7−2ζ112ζ110000000000-440002-4−2i32i34-22000-20−2i32i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ110000000000
χ1008-80008-4004-8-4000400000000000000000000000000000000000-88000-8400-484000-400000000000000000000000000000000000
χ1018-8000-4-4−4i34i3442000-202i3−2i300000000000000000000000000000000-88000444i3−4i3-4-4-200020−2i32i300000000000000000000000000000000
χ1028-8000-4-44i3−4i3442000-20−2i32i300000000000000000000000000000000-8800044−4i34i3-4-4-2000202i3−2i300000000000000000000000000000000

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