Finite Group Databasebeta

← Group #72242432

Character table — Group #72242432

Order 6912.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1166666688881212183636363636364848484848486464727272969622121212121212161616162424367272727272729696969696961281281441441441921923318181818181824242424363654108108108108108108144144144144144144192192216216216288288
order12448888336622244448812122424242436288663612122424242433666661212121224241212242424243662424662244888866662224444881212242424246628866
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-111111-111-1-1-11-11111-1-111-1-1-11-1111111-1-111111-111-1-1-11-11111-1-111-1-1-11-1111111-1-111111-111-1-1-11-11111-1-111-1-1-11-1
χ31111-1-1111111-111-11-1-1-1111-1-11111-1-1-1-111111-1-1111111-111-11-1-1-1111-1-11111-1-1-1-111111-1-1111111-111-11-1-1-1111-1-11111-1-1-1-11
χ41111-1-1-1-11111-1-11-1-111-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-11-1-111-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-11-1-111-1-111-1-1-1-111111-1-1
χ5222200222-12-10220200022-100-1-1-1-10000-1222200222-12-10220200022-100-1-1-1-10000-1222200222-12-10220200022-100-1-1-1-10000-1
χ6222200-2-22-12-10-220-2000-22-10011-1-100001222200-2-22-12-10-220-2000-22-10011-1-100001222200-2-22-12-10-220-2000-22-10011-1-100001
χ722222200-12-12202200020-12-1-100-1-1000-1022222200-12-12202200020-12-1-100-1-1000-1022222200-12-12202200020-12-1-100-1-1000-10
χ82222-2-200-12-12-202-2000-20-121100-1-1000102222-2-200-12-12-202-2000-20-121100-1-1000102222-2-200-12-12-202-2000-20-121100-1-100010
χ9333-111333030-13-1-1-1111-1-10110000-11-1-10333-111333030-13-1-1-1111-1-10110000-11-1-10333-111333030-13-1-1-1111-1-10110000-11-1-10
χ10333-111-3-33030-1-3-1-11-1-111-101100001-11-10333-111-3-33030-1-3-1-11-1-111-101100001-11-10333-111-3-33030-1-3-1-11-1-111-101100001-11-10
χ11333-1-1-133303013-11-1-1-1-1-1-10-1-100001-1110333-1-1-133303013-11-1-1-1-1-1-10-1-100001-1110333-1-1-133303013-11-1-1-1-1-1-10-1-100001-1110
χ12333-1-1-1-3-330301-3-11111-11-10-1-10000-11-110333-1-1-1-3-330301-3-11111-11-10-1-10000-11-110333-1-1-1-3-330301-3-11111-11-10-1-10000-11-110
χ1333-13331103033-1-1-1-111-110-1001100-1-110-133-13331103033-1-1-1-111-110-1001100-1-110-133-13331103033-1-1-1-111-110-1001100-1-110-1
χ1433-1333-1-1030331-1-11-1-1-1-10-100-1-10011-10133-1333-1-1030331-1-11-1-1-1-10-100-1-10011-10133-1333-1-1030331-1-11-1-1-1-10-100-1-10011-101
χ1533-13-3-3110303-3-1-11-1-1-1110-100110011-10-133-13-3-3110303-3-1-11-1-1-1110-100110011-10-133-13-3-3110303-3-1-11-1-1-1110-100110011-10-1
χ1633-13-3-3-1-10303-31-111111-10-100-1-100-1-110133-13-3-3-1-10303-31-111111-10-100-1-100-1-110133-13-3-3-1-10303-31-111111-10-100-1-100-1-1101
χ1744440000-2-2-2-2004000000-2-20000110000044440000-2-2-2-2004000000-2-20000110000044440000-2-2-2-2004000000-2-200001100000
χ184-4002i2−2i22i2−2i2-2-222000002-20000i2−i2i2−i21-1000004-4002i2−2i22i2−2i2-2-222000002-20000i2−i2i2−i21-1000004-4002i2−2i22i2−2i2-2-222000002-20000i2−i2i2−i21-100000
χ194-4002i2−2i2−2i22i2-2-22200000-220000i2−i2−i2i21-1000004-4002i2−2i2−2i22i2-2-22200000-220000i2−i2−i2i21-1000004-4002i2−2i2−2i22i2-2-22200000-220000i2−i2−i2i21-100000
χ204-400−2i22i22i2−2i2-2-22200000-220000−i2i2i2−i21-1000004-400−2i22i22i2−2i2-2-22200000-220000−i2i2i2−i21-1000004-400−2i22i22i2−2i2-2-22200000-220000−i2i2i2−i21-100000
χ214-400−2i22i2−2i22i2-2-222000002-20000−i2i2−i2i21-1000004-400−2i22i2−2i22i2-2-222000002-20000−i2i2−i2i21-1000004-400−2i22i2−2i22i2-2-222000002-20000−i2i2−i2i21-100000
χ22666-22200-30-30-20-2-20002010-1-1000000010666-22200-30-30-20-2-20002010-1-1000000010666-22200-30-30-20-2-20002010-1-1000000010
χ23666-2-2-200-30-3020-22000-2010110000000-10666-2-2-200-30-3020-22000-2010110000000-10666-2-2-200-30-3020-22000-2010110000000-10
χ2466-2600220-30-30-2-20-200020100-1-1000000166-2600220-30-30-2-20-200020100-1-1000000166-2600220-30-30-2-20-200020100-1-10000001
χ2566-2600-2-20-30-302-202000-2010011000000-166-2600-2-20-30-302-202000-2010011000000-166-2600-2-20-30-302-202000-2010011000000-1
χ268-800004i2−4i2-424-20000000000000−i2i2-11000008-800004i2−4i2-424-20000000000000−i2i2-11000008-800004i2−4i2-424-20000000000000−i2i2-1100000
χ278-80000−4i24i2-424-20000000000000i2−i2-11000008-80000−4i24i2-424-20000000000000i2−i2-11000008-80000−4i24i2-424-20000000000000i2−i2-1100000
χ288-8004i2−4i2002-4-2400000000000−i2i200-11000008-8004i2−4i2002-4-2400000000000−i2i200-11000008-8004i2−4i2002-4-2400000000000−i2i200-1100000
χ298-800−4i24i2002-4-2400000000000i2−i200-11000008-800−4i24i2002-4-2400000000000i2−i200-11000008-800−4i24i2002-4-2400000000000i2−i200-1100000
χ3099-3-333330000-3-311111-1-1000000001-1-10099-3-333330000-3-311111-1-1000000001-1-10099-3-333330000-3-311111-1-1000000001-1-100
χ3199-3-333-3-30000-3311-1-1-1-1100000000-1110099-3-333-3-30000-3311-1-1-1-1100000000-1110099-3-333-3-30000-3311-1-1-1-1100000000-11100
χ3299-3-3-3-33300003-31-11-1-11-100000000-1110099-3-3-3-33300003-31-11-1-11-100000000-1110099-3-3-3-33300003-31-11-1-11-100000000-11100
χ3399-3-3-3-3-3-30000331-1-11111000000001-1-10099-3-3-3-3-3-30000331-1-11111000000001-1-10099-3-3-3-3-3-30000331-1-11111000000001-1-100
χ3416-1600000044-4-40000000000000001-10000016-1600000044-4-40000000000000001-10000016-1600000044-4-40000000000000001-100000
χ3511111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ36111111-1-111111-111-1-1-11-11111-1-111-1-1-11-1111111-1-111111-111-1-1-11-11111-1-111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-11-1-1111-11-1-1-1-111-1-1111-11
χ371111-1-1111111-111-11-1-1-1111-1-11111-1-1-1-111111-1-1111111-111-11-1-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-111-1-1-1-11111-1
χ381111-1-1-1-11111-1-11-1-111-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-11-1-111-1-111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-1-111
χ39222200222-12-10220200022-100-1-1-1-10000-1222200222-12-10220200022-100-1-1-1-10000-1-2-2-2-200-2-2-21-210-2-20-2000-2-2100111100001
χ40222200-2-22-12-10-220-2000-22-10011-1-100001222200-2-22-12-10-220-2000-22-10011-1-100001-2-2-2-20022-21-2102-2020002-2100-1-1110000-1
χ4122222200-12-12202200020-12-1-100-1-1000-1022222200-12-12202200020-12-1-100-1-1000-10-2-2-2-2-2-2001-21-2-20-2-2000-201-211001100010
χ422222-2-200-12-12-202-2000-20-121100-1-1000102222-2-200-12-12-202-2000-20-121100-1-100010-2-2-2-222001-21-220-22000201-2-1-10011000-10
χ43333-111333030-13-1-1-1111-1-10110000-11-1-10333-111333030-13-1-1-1111-1-10110000-11-1-10-3-3-31-1-1-3-3-30-301-3111-1-1-1110-1-100001-1110
χ44333-111-3-33030-1-3-1-11-1-111-101100001-11-10333-111-3-33030-1-3-1-11-1-111-101100001-11-10-3-3-31-1-133-30-301311-111-1-110-1-10000-11-110
χ45333-1-1-133303013-11-1-1-1-1-1-10-1-100001-1110333-1-1-133303013-11-1-1-1-1-1-10-1-100001-1110-3-3-3111-3-3-30-30-1-31-11111110110000-11-1-10
χ46333-1-1-1-3-330301-3-11111-11-10-1-10000-11-110333-1-1-1-3-330301-3-11111-11-10-1-10000-11-110-3-3-311133-30-30-131-1-1-1-11-1101100001-11-10
χ4733-13331103033-1-1-1-111-110-1001100-1-110-133-13331103033-1-1-1-111-110-1001100-1-110-1-3-31-3-3-3-1-10-30-3-31111-1-11-10100-1-10011-101
χ4833-1333-1-1030331-1-11-1-1-1-10-100-1-10011-10133-1333-1-1030331-1-11-1-1-1-10-100-1-10011-101-3-31-3-3-3110-30-3-3-111-1111101001100-1-110-1
χ4933-13-3-3110303-3-1-11-1-1-1110-100110011-10-133-13-3-3110303-3-1-11-1-1-1110-100110011-10-1-3-31-333-1-10-30-3311-1111-1-10100-1-100-1-1101
χ5033-13-3-3-1-10303-31-111111-10-100-1-100-1-110133-13-3-3-1-10303-31-111111-10-100-1-100-1-1101-3-31-333110-30-33-11-1-1-1-1-110100110011-10-1
χ5144440000-2-2-2-2004000000-2-20000110000044440000-2-2-2-2004000000-2-200001100000-4-4-4-40000222200-4000000220000-1-100000
χ524-4002i2−2i22i2−2i2-2-222000002-20000i2−i2i2−i21-1000004-4002i2−2i22i2−2i2-2-222000002-20000i2−i2i2−i21-100000-4400−2i22i2−2i22i222-2-200000-220000−i2i2−i2i2-1100000
χ534-4002i2−2i2−2i22i2-2-22200000-220000i2−i2−i2i21-1000004-4002i2−2i2−2i22i2-2-22200000-220000i2−i2−i2i21-100000-4400−2i22i22i2−2i222-2-2000002-20000−i2i2i2−i2-1100000
χ544-400−2i22i22i2−2i2-2-22200000-220000−i2i2i2−i21-1000004-400−2i22i22i2−2i2-2-22200000-220000−i2i2i2−i21-100000-44002i2−2i2−2i22i222-2-2000002-20000i2−i2−i2i2-1100000
χ554-400−2i22i2−2i22i2-2-222000002-20000−i2i2−i2i21-1000004-400−2i22i2−2i22i2-2-222000002-20000−i2i2−i2i21-100000-44002i2−2i22i2−2i222-2-200000-220000i2−i2i2−i2-1100000
χ56666-22200-30-30-20-2-20002010-1-1000000010666-22200-30-30-20-2-20002010-1-1000000010-6-6-62-2-20030302022000-20-10110000000-10
χ57666-2-2-200-30-3020-22000-2010110000000-10666-2-2-200-30-3020-22000-2010110000000-10-6-6-6222003030-202-200020-10-1-1000000010
χ5866-2600220-30-30-2-20-200020100-1-1000000166-2600220-30-30-2-20-200020100-1-10000001-6-62-600-2-2030302202000-20-10011000000-1
χ5966-2600-2-20-30-302-202000-2010011000000-166-2600-2-20-30-302-202000-2010011000000-1-6-62-6002203030-220-200020-100-1-10000001
χ608-800004i2−4i2-424-20000000000000−i2i2-11000008-800004i2−4i2-424-20000000000000−i2i2-1100000-880000−4i24i24-2-420000000000000i2−i21-100000
χ618-80000−4i24i2-424-20000000000000i2−i2-11000008-80000−4i24i2-424-20000000000000i2−i2-1100000-8800004i2−4i24-2-420000000000000−i2i21-100000
χ628-8004i2−4i2002-4-2400000000000−i2i200-11000008-8004i2−4i2002-4-2400000000000−i2i200-1100000-8800−4i24i200-242-400000000000i2−i2001-100000
χ638-800−4i24i2002-4-2400000000000i2−i200-11000008-800−4i24i2002-4-2400000000000i2−i200-1100000-88004i2−4i200-242-400000000000−i2i2001-100000
χ6499-3-333330000-3-311111-1-1000000001-1-10099-3-333330000-3-311111-1-1000000001-1-100-9-933-3-3-3-3000033-1-1-1-1-11100000000-11100
χ6599-3-333-3-30000-3311-1-1-1-1100000000-1110099-3-333-3-30000-3311-1-1-1-1100000000-11100-9-933-3-33300003-3-1-11111-1000000001-1-100
χ6699-3-3-3-33300003-31-11-1-11-100000000-1110099-3-3-3-33300003-31-11-1-11-100000000-11100-9-93333-3-30000-33-11-111-11000000001-1-100
χ6799-3-3-3-3-3-30000331-1-11111000000001-1-10099-3-3-3-3-3-30000331-1-11111000000001-1-100-9-93333330000-3-3-111-1-1-1-100000000-11100
χ6816-1600000044-4-40000000000000001-10000016-1600000044-4-40000000000000001-100000-1616000000-4-444000000000000000-1100000
χ692222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ70222222-2-222222-222-2-2-22-22222-2-222-2-2-22-2-1-1-1-1-1-111-1-1-1-1-11-1-1111-11-1-1-1-111-1-1111-110000000000000000000000000000000000
χ712222-2-2222222-222-22-2-2-2222-2-22222-2-2-2-22-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-111-1-1-1-11111-10000000000000000000000000000000000
χ722222-2-2-2-22222-2-22-2-222-2-222-2-2-2-222222-2-2-1-1-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-1-1110000000000000000000000000000000000
χ73444400444-24-20440400044-200-2-2-2-20000-2-2-2-2-200-2-2-21-210-2-20-2000-2-21001111000010000000000000000000000000000000000
χ74444400-4-44-24-20-440-4000-44-20022-2-200002-2-2-2-20022-21-2102-2020002-2100-1-1110000-10000000000000000000000000000000000
χ7544444400-24-24404400040-24-2-200-2-2000-20-2-2-2-2-2-2001-21-2-20-2-2000-201-2110011000100000000000000000000000000000000000
χ764444-4-400-24-24-404-4000-40-242200-2-200020-2-2-2-222001-21-220-22000201-2-1-10011000-100000000000000000000000000000000000
χ77666-222666060-26-2-2-2222-2-20220000-22-2-20-3-3-31-1-1-3-3-30-301-3111-1-1-1110-1-100001-11100000000000000000000000000000000000
χ78666-222-6-66060-2-6-2-22-2-222-202200002-22-20-3-3-31-1-133-30-301311-111-1-110-1-10000-11-1100000000000000000000000000000000000
χ79666-2-2-266606026-22-2-2-2-2-2-20-2-200002-2220-3-3-3111-3-3-30-30-1-31-11111110110000-11-1-100000000000000000000000000000000000
χ80666-2-2-2-6-660602-6-22222-22-20-2-20000-22-220-3-3-311133-30-30-131-1-1-1-11-1101100001-11-100000000000000000000000000000000000
χ8166-26662206066-2-2-2-222-220-2002200-2-220-2-3-31-3-3-3-1-10-30-3-31111-1-11-10100-1-10011-1010000000000000000000000000000000000
χ8266-2666-2-2060662-2-22-2-2-2-20-200-2-20022-202-3-31-3-3-3110-30-3-3-111-1111101001100-1-110-10000000000000000000000000000000000
χ8366-26-6-6220606-6-2-22-2-2-2220-200220022-20-2-3-31-333-1-10-30-3311-1111-1-10100-1-100-1-11010000000000000000000000000000000000
χ8466-26-6-6-2-20606-62-222222-20-200-2-200-2-2202-3-31-333110-30-33-11-1-1-1-1-110100110011-10-10000000000000000000000000000000000
χ8588880000-4-4-4-4008000000-4-400002200000-4-4-4-40000222200-4000000220000-1-1000000000000000000000000000000000000000
χ868-8004i2−4i24i2−4i2-4-444000004-400002i2−2i22i2−2i22-200000-4400−2i22i2−2i22i222-2-200000-220000−i2i2−i2i2-11000000000000000000000000000000000000000
χ878-8004i2−4i2−4i24i2-4-44400000-4400002i2−2i2−2i22i22-200000-4400−2i22i22i2−2i222-2-2000002-20000−i2i2i2−i2-11000000000000000000000000000000000000000
χ888-800−4i24i24i2−4i2-4-44400000-440000−2i22i22i2−2i22-200000-44002i2−2i2−2i22i222-2-2000002-20000i2−i2−i2i2-11000000000000000000000000000000000000000
χ898-800−4i24i2−4i24i2-4-444000004-40000−2i22i2−2i22i22-200000-44002i2−2i22i2−2i222-2-200000-220000i2−i2i2−i2-11000000000000000000000000000000000000000
χ90121212-44400-60-60-40-4-40004020-2-2000000020-6-6-62-2-20030302022000-20-10110000000-100000000000000000000000000000000000
χ91121212-4-4-400-60-6040-44000-4020220000000-20-6-6-6222003030-202-200020-10-1-10000000100000000000000000000000000000000000
χ921212-41200440-60-60-4-40-400040200-2-20000002-6-62-600-2-2030302202000-20-10011000000-10000000000000000000000000000000000
χ931212-41200-4-40-60-604-404000-4020022000000-2-6-62-6002203030-220-200020-100-1-100000010000000000000000000000000000000000
χ9416-1600008i2−8i2-848-40000000000000−2i22i2-2200000-880000−4i24i24-2-420000000000000i2−i21-1000000000000000000000000000000000000000
χ9516-160000−8i28i2-848-400000000000002i2−2i2-2200000-8800004i2−4i24-2-420000000000000−i2i21-1000000000000000000000000000000000000000
χ9616-16008i2−8i2004-8-4800000000000−2i22i200-2200000-8800−4i24i200-242-400000000000i2−i2001-1000000000000000000000000000000000000000
χ9716-1600−8i28i2004-8-48000000000002i2−2i200-2200000-88004i2−4i200-242-400000000000−i2i2001-1000000000000000000000000000000000000000
χ981818-6-666660000-6-622222-2-2000000002-2-200-9-933-3-3-3-3000033-1-1-1-1-11100000000-111000000000000000000000000000000000000
χ991818-6-666-6-60000-6622-2-2-2-2200000000-22200-9-933-3-33300003-3-1-11111-1000000001-1-1000000000000000000000000000000000000
χ1001818-6-6-6-66600006-62-22-2-22-200000000-22200-9-93333-3-30000-33-11-111-11000000001-1-1000000000000000000000000000000000000
χ1011818-6-6-6-6-6-60000662-2-22222000000002-2-200-9-93333330000-3-3-111-1-1-1-100000000-111000000000000000000000000000000000000
χ10232-3200000088-8-80000000000000002-200000-1616000000-4-444000000000000000-11000000000000000000000000000000000000000

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