Finite Group Databasebeta

← Group #72252372

Character table — Group #72252372

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1124881212161616242424243248484848484896969696969696969696128128128128192192192192192192192192192192192256256256256256256384384384384512512512512768768768768
order12222222224224442224442444448888366624444444488666666444461212128888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ311111111-1-111111-11-1-11111-111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111-1-111111-11-1-11111-11111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ522222222222222222222222222220000-1-1-1-100222220000-1-1-1-1-1-10000-1-1-1-10000
χ622222222-2-222222-22-2-22222-222220000-1-1-1-100-2-22-2-20000-1-111110000-1-1110000
χ72222-2-22200-2-2-2220200-2222022-2-2000022220000-2000000-2-2000000002-2000000
χ82222-2-22200-2-2-2220200-2222022-2-20000-1-1-1-10000-200000011i3i3−i3−i30000-11i3−i30000
χ92222-2-22200-2-2-2220200-2222022-2-20000-1-1-1-10000-200000011−i3−i3i3i30000-11−i3i30000
χ1033333333333333333-1-13-1-1-1-1-1-1-1-11111000011-1-1-13-1111100000011110000-1-1-1-1
χ1133333333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-13-1-1-1-1-1000000-1-1-1-100001111
χ1233333333333-1-1-1-13-1-1-1-1-1-1-1-13-13-111110000-1-13-1-1-1-1-1-111000000-1-11100001-11-1
χ1333333333333-1-1-1-13-1-1-1-1-1-1-1-13-13-1-1-1-1-10000113-1-1-1-111-1-100000011-1-10000-11-11
χ1433333333333-1-1-1-13-1-1-1-1-1-1-1-1-13-1311110000-1-1-13-1-1-1-1-111000000-1-1110000-11-11
χ1533333333333-1-1-1-13-1-1-1-1-1-1-1-1-13-13-1-1-1-1000011-13-1-1-111-1-100000011-1-100001-11-1
χ1633333333-3-333333-33113-1-1-11-1-1-1-1111100001111-1-311111000000-1-1-1-10000-1-111
χ1733333333-3-333333-33113-1-1-11-1-1-1-1-1-1-1-10000-1-111-1-31-1-1-1-10000001111000011-1-1
χ1833333333-3-33-1-1-1-1-3-111-1-1-1-113-13-111110000-1-1-31-111-1-11100000011-1-100001-1-11
χ1933333333-3-33-1-1-1-1-3-111-1-1-1-113-13-1-1-1-1-1000011-31-11111-1-1000000-1-1110000-111-1
χ2033333333-3-33-1-1-1-1-3-111-1-1-1-11-13-1311110000-1-11-3-111-1-11100000011-1-10000-111-1
χ2133333333-3-33-1-1-1-1-3-111-1-1-1-11-13-13-1-1-1-10000111-3-11111-1-1000000-1-11100001-1-11
χ22444-444-4444-40000-400000000000022-2-211110000000002-2111111002-2-1-1-1-10000
χ23444-444-4444-40000-4000000000000-2-2221111000000000-2211111100-22-1-1-1-10000
χ24444-444-44-4-4-40000400000000000022-2-211110000000002-211-1-1-1-100-22-1-1110000
χ25444-444-44-4-4-400004000000000000-2-2221111000000000-2211-1-1-1-1002-2-1-1110000
χ2666666666666-2-2-2-26-222-22222-2-2-2-20000000000-2-22-220000000000000000000000
χ2766666666-6-66-2-2-2-2-6-2-2-2-2222-2-2-2-2-200000000002222-20000000000000000000000
χ286666-6-66600-622-2-20-2002-2-2-206-2-620000000000002000000000000000000000000
χ296666-6-66600-622-2-20-2002-2-2-20-262-60000000000002000000000000000000000000
χ306666-6-66600-622-2-20-24422224-2-222000000000000-20-40000000000000000000000
χ316666-6-66600-622-2-20-2-4-42222-4-2-222000000000000-2040000000000000000000000
χ326666-6-66600-6-6-6660600-6-2-2-20-2-2220000000000002000000000000000000000000
χ33888-888-8888-80000-80000000000000000-1-1-1-100000000000-1-1-1-1-1-1000011110000
χ34888-888-88-8-8-8000080000000000000000-1-1-1-100000000000-1-11111000011-1-10000
χ35888-8-8-8-88008000000000000000000000222200000000000-2-200000000-22000000
χ36888-8-8-8-88008000000000000000000000-1-1-1-10000000000011i3i3−i3−i300001-1−i3i30000
χ37888-8-8-8-88008000000000000000000000-1-1-1-10000000000011−i3−i3i3i300001-1i3−i30000
χ3888-804-4000004-4-440000000000000004-422-2-22-2000002-2002-20000000000000000
χ3988-804-4000004-4-44000000000000000-4422-2-2-2200000-22002-20000000000000000
χ4088-80-4400000-44-4400000000000004-40022-2-22-200000-2200-220000000000000000
χ4188-80-4400000-44-440000000000000-440022-2-2-22000002-200-220000000000000000
χ421212121200-4-400000440-400044-40000022220000-2-20000022-2-2000000000000000000
χ431212121200-4-400000440-400044-400000-2-2-2-200002200000-2-222000000000000000000
χ441212121200-4-400000440-4000-4-4400000222200002200000-2-2-2-2000000000000000000
χ451212121200-4-400000440-4000-4-4400000-2-2-2-20000-2-2000002222000000000000000000
χ46121212-12004-400044000044-4000-4000022-2-20000000000000-22000000-220000000000
χ47121212-12004-400044000044-4000-40000-2-22200000000000002-20000002-20000000000
χ48121212-12004-4000440000-4-4-40004000022-2-20000000000000-220000002-20000000000
χ49121212-12004-4000440000-4-4-400040000-2-22200000000000002-2000000-220000000000
χ501616-1608-8000008-8-8800000000000000000-2-22200000000000-220000000000000000
χ511616-160-8800000-88-8800000000000000000-2-222000000000002-20000000000000000
χ5216-160000004-400000004-404-400000000004-40000000000000002-22-2000000000000
χ5316-160000004-400000004-404-40000000000-222i3−2i30000000000000−1+i31−i3−1−i31+i3000000000000
χ5416-160000004-400000004-404-40000000000-22−2i32i30000000000000−1−i31+i3−1+i31−i3000000000000
χ5516-16000000-440000000-4404-400000000004-4000000000000000-22-22000000000000
χ5616-16000000-440000000-4404-40000000000-222i3−2i300000000000001−i3−1+i31+i3−1−i3000000000000
χ5716-16000000-440000000-4404-40000000000-22−2i32i300000000000001+i3−1−i31−i3−1+i3000000000000
χ582424242400-8-800000-8-808000000000000000000000000000000000000000000000000
χ59242424-24008-8000-8-80000008000000000000000000000000000000000000000000000
χ602424-24012-1200000-444-40000000000000004-40000-2200000-2200000000000000000000
χ612424-24012-1200000-444-4000000000000000-4400002-2000002-200000000000000000000
χ622424-240-1212000004-44-400000000000004-4000000-22000002-200000000000000000000
χ632424-240-1212000004-44-40000000000000-440000002-200000-2200000000000000000000
χ6448-4800000012-120000000-440-440000000000000000000000000000000000000000000
χ6548-48000000-121200000004-40-440000000000000000000000000000000000000000000

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