Finite Group Databasebeta

← Group #72274922

Character table — Group #72274922

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1122668881212121212182424242424242424242424323236364848484848646464646472727272729696144144192192
order12362426624446422244666121212362446812123666624444122448612
χ1111111111111111111111111111111111111111111111111111
χ21111111111-1-11111-1-11-1-1-11-1-111111-1-1-11-111111-1-11-1-1-1-1-1-111
χ3111111-1-1-1111111-11-1-1-1-1-111111111-111-1-11-11-1-1-11-11-1-11-11-11
χ4111111-1-1-11-1-1111-1-11-11111-1-1111111-1-1-111-11-1-11-1-1-111-11-1-11
χ511111-111111111-1-1111111111111-1-11111111111-1-1-1-1-111-1-1-1-1
χ611111-11111-1-111-1-1-1-11-1-1-11-1-1111-1-1-1-1-11-11111111-111-1-111-1-1
χ711111-1-1-1-111111-111-1-1-1-1-1111111-1-1-111-1-11-11-1-11-11-11-111-11-1
χ811111-1-1-1-11-1-111-11-11-11111-1-1111-1-11-1-1-111-11-1-1-1111-11-1-111-1
χ922222222220022220020002002-1-12200020-1-1-1-1-1002000000-1-1
χ10222222-2-2-2200222-200-20002002-1-122000-20-11-11100-20000001-1
χ1122222-222220022-2-20020002002-1-1-2-200020-1-1-1-1-100-200000011
χ1222222-2-2-2-220022-2200-20002002-1-1-2-2000-20-11-111002000000-11
χ1322-1-1202-1-12222-1002222-1-1-1-1-1-122002-12-1-1-12-1-1-100000-1-10000
χ1422-1-1202-1-12-2-22-100-2-22-211-111-12200-21-2-11-12-1-1-100000110000
χ1522-1-120-2112222-1002-2-2-211-1-1-1-12200-2-1211-1-2-111000001-10000
χ1622-1-120-2112-2-22-100-22-22-1-1-111-1220021-21-1-1-2-11100000-110000
χ17333333333-111-133311-1111-111-100-1-1-11-1-110000011-111-1-1-1-100
χ18333333333-1-1-1-1333-1-1-1-1-1-1-1-1-1-100-1-11-11-1-100000-1-1-1-1-1111100
χ19333333-3-3-3-111-133-31-11-1-1-1-111-100-1-111-11-100000-1111-11-11-100
χ20333333-3-3-3-1-1-1-133-3-111111-1-1-1-100-1-1-1-1111000001-11-11-11-1100
χ2133333-3333-111-13-3-311-1111-111-10011-11-1-1100000-1-11-1-1-1-11100
χ2233333-3333-1-1-1-13-3-3-1-1-1-1-1-1-1-1-1-100111-11-1-1000001111111-1-100
χ2333333-3-3-3-3-111-13-331-11-1-1-1-111-1001111-11-1000001-1-1-111-1-1100
χ2433333-3-3-3-3-1-1-1-13-33-111111-1-1-1-10011-1-111100000-11-11-1-111-100
χ2544-2-2404-2-24004-200004000-200-2-2-200000-201-211100000000000
χ2644-2-240-4224004-20000-4000-200-2-2-20000020121-1-100000000000
χ276666-26000200-2-2-20020-222200-200-220000-2000002000-2000000
χ286666-26000200-2-2-200-202-2-2200-200-220000200000-20002000000
χ296666-26000-2222-2-20-200000-2222002-20-2000000000-2020000000
χ306666-26000-2-2-22-2-20200000-2-2-22002-20200000000020-20000000
χ316666-2-6000200-2-220020-222200-2002-20000-200000-20002000000
χ326666-2-6000200-2-2200-202-2-2200-2002-200002000002000-2000000
χ336666-2-6000-2222-220-200000-222200-220-200000000020-20000000
χ346666-2-6000-2-2-22-220200000-2-2-2200-2202000000000-2020000000
χ3566-3-3606-3-3-222-2-30022-22-1-11-1-110000-2-1-21-10000000000110000
χ3666-3-3606-3-3-2-2-2-2-300-2-2-2-21111110000212110000000000-1-10000
χ3766-3-360-633-222-2-3002-22-2111-1-1100002-1-2-110000000000-110000
χ3866-3-360-633-2-2-2-2-300-2222-1-111110000-212-1-100000000001-10000
χ398-88-80000004-4000000000004-402-2000000020-20000000000000
χ408-88-8000000-4400000000000-4402-2000000020-20000000000000
χ418-8-440002i3−2i304-4000000002i3−2i30-2202-20000000-101i3−i300000000000
χ428-8-440002i3−2i30-4400000000−2i32i302-202-20000000-101i3−i300000000000
χ438-8-44000−2i32i304-400000000−2i32i30-2202-20000000-101−i3i300000000000
χ448-8-44000−2i32i30-44000000002i3−2i302-202-20000000-101−i3i300000000000
χ451212-6-6-40000400-4200040-4-2-2-20020000000020000000000000000
χ461212-6-6-40000400-42000-40422-200200000000-20000000000000000
χ471212-6-6-40000-4444200-4000002-2-2-20000020000000000000000000
χ481212-6-6-40000-4-4-44200400000222-200000-20000000000000000000
χ4916-1616-160000000000000000000000-220000000-2020000000000000
χ5016-16-880004i3−4i300000000000000000-22000000010-1−i3i300000000000
χ5116-16-88000−4i34i300000000000000000-22000000010-1i3−i300000000000

Here i is the imaginary unit (i² = −1).