Finite Group Databasebeta

← Group #72274952

Character table — Group #72274952

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1122668881212121212182424242424242424242424323236364848484848646464646472727272729696144144192192
order12362426622246422444666121212362446812123666624444122448612
χ1111111111111111111111111111111111111111111111111111
χ2111111111-1-111111-11-1-1-1-11-1-111111-1-1-11-111111-1-11-1-1-1-1-1-111
χ3111111-1-1-1111111-1-1-11-1111-1-1111111-1-1-111-11-1-1-11-11-11-11-1-11
χ4111111-1-1-1-1-11111-11-1-11-1-111111111-111-1-11-11-1-11-1-1-11-11-11-11
χ511111-111111111-1-1111111111111-1-11111111111-1-1-1-1-111-1-1-1-1
χ611111-1111-1-1111-1-1-11-1-1-1-11-1-1111-1-1-1-1-11-11111111-111-1-111-1-1
χ711111-1-1-1-111111-11-1-11-1111-1-1111-1-11-1-1-111-11-1-11-11-111-1-111-1
χ811111-1-1-1-1-1-1111-111-1-11-1-1111111-1-1-111-1-11-11-1-1-1111-1-111-11-1
χ922222222200222220200002002-1-12200020-1-1-1-1-1002000000-1-1
χ10222222-2-2-2002222-20-200002002-1-122000-20-11-11100-20000001-1
χ1122222-222200222-2-20200002002-1-1-2-200020-1-1-1-1-100-200000011
χ1222222-2-2-2-200222-220-200002002-1-1-2-2000-20-11-111002000000-11
χ1322-1-1202-1-12222-1002222-1-1-1-1-1-122002-12-1-1-12-1-1-100000-1-10000
χ1422-1-1202-1-1-2-222-100-22-2-211-111-12200-21-2-11-12-1-1-100000110000
χ1522-1-120-2112222-100-2-22-2-1-1-111-1220021-21-1-1-2-11100000-110000
χ1622-1-120-211-2-222-1002-2-2211-1-1-1-12200-2-1211-1-2-111000001-10000
χ1733333333311-1-13331-11111-111-100-1-1-11-1-110000011-111-1-1-1-100
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
χ19333333-3-3-311-1-133-3-111-111-1-1-1-100-1-1-1-111100000-1111-1-11-1100
χ20333333-3-3-3-1-1-1-133-311-11-1-1-111-100-1-111-11-1000001-11-111-11-100
χ2133333-333311-1-13-3-31-11111-111-10011-11-1-1100000-1-11-1-1-1-11100
χ2233333-3333-1-1-1-13-3-3-1-1-1-1-1-1-1-1-1-100111-11-1-1000001111111-1-100
χ2333333-3-3-3-311-1-13-33-111-111-1-1-1-10011-1-1111000001-1-1-11-111-100
χ2433333-3-3-3-3-1-1-1-13-3311-11-1-1-111-1001111-11-100000-11-11-11-1-1100
χ2544-2-2404-2-20044-200040000-200-2-2-200000-201-211100000000000
χ2644-2-240-4220044-2000-40000-200-2-2-20000020121-1-100000000000
χ276666-2600000-22-2-20200-200-2-2-22002-202000000002000-2000000
χ286666-2600000-22-2-20-200200-2222002-20-200000000-20002000000
χ296666-26000222-2-2-2000-2022200-200-220000-200000020-20000000
χ306666-26000-2-22-2-2-200020-2-2200-200-2200002000000-2020000000
χ316666-2-600000-22-220200-200-2-2-2200-220200000000-20002000000
χ326666-2-600000-22-220-200200-222200-220-2000000002000-2000000
χ336666-2-6000222-2-22000-2022200-2002-20000-2000000-2020000000
χ346666-2-6000-2-22-2-2200020-2-2200-2002-20000200000020-20000000
χ3566-3-3606-3-322-2-2-3002-222-1-11-1-110000-2-1-21-10000000000110000
χ3666-3-3606-3-3-2-2-2-2-300-2-2-2-21111110000212110000000000-1-10000
χ3766-3-360-63322-2-2-300-222-2-1-111110000-212-1-100000000001-10000
χ3866-3-360-633-2-2-2-2-30022-22111-1-1100002-1-2-110000000000-110000
χ398-88-8000004-40000000004-400002-2000000020-20000000000000
χ408-88-800000-44000000000-4400002-2000000020-20000000000000
χ418-8-440002i3−2i34-4000000000-2202i3−2i302-20000000-101i3−i300000000000
χ428-8-440002i3−2i3-440000000002-20−2i32i302-20000000-101i3−i300000000000
χ438-8-44000−2i32i34-4000000000-220−2i32i302-20000000-101−i3i300000000000
χ448-8-44000−2i32i3-440000000002-202i3−2i302-20000000-101−i3i300000000000
χ451212-6-6-4000000-44200400-400222-200000-20000000000000000000
χ461212-6-6-4000000-44200-4004002-2-2-20000020000000000000000000
χ471212-6-6-40000444-420000-40-2-2-20020000000020000000000000000
χ481212-6-6-40000-4-44-4200004022-200200000000-20000000000000000
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).