Finite Group Databasebeta

← Group #72275057

Character table — Group #72275057

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222444666688812121212121216181824242424242424242424242424242424323232323636363636363636484848484848484848484848484864646464646464646464727272727272727296969696144144144144192192192192
order123462212222446622446121222222222444444661212366622224444446666881212121212123666121212121212244444441212242444886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ311111111-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-1111-1-1-1-11111-1-1-1-1
χ511111-1-111111-1-1-1111111-111-1-111-1-1-1-111-1-111111-1-11111111-1-11111-1-1-1-1-1-111-1-11-1-111-111-1-1-11-1-1-111-111-1-111-1-111-1-1
χ611111-1-111111-1-1-1111111-111-1-1-1-111-1-1-1-11111111-1-1111-1-11111-1-1-1-11111-1-1-1-1111-1-111-111-1-11-11-1-1-1-11-1-111-1-11111-1-1
χ711111-1-11-1-111-1-1-1111111-1-1-11111-1-1-1-111-1-111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-111-1-11-1111-1-1111-1-1-1-111-1-111
χ811111-1-11-1-111-1-1-1111111-1-1-111-1-111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-111-1-1-11-11111-1-1-11111-1-1-1-111
χ9111-1111-11-11-1-111-11-111-1-11-11-11-11-11-11-11-1-11-1111111-1111-1111-11-11-11-11-11-11-11111-1-1-1-1-1-11-1-11-11-1-11-11-11-11-11-11-1
χ10111-1111-11-11-1-111-11-111-1-11-11-1-11-111-1-11-11-11-1111111-1-1-11-1-1-1-11-11-11-111-1-11-111111-1-1-1-1-1-1-1111-1-111-11-11-11-111-11-1
χ11111-1111-1-111-1-111-11-111-1-1-11-111-11-11-11-11-1-11-111111-11-1-1-11-1-11-11-11-11-11-11-11-11111-1-1-1-1-1-1-111-11-1111-11-1-11-11-11-11
χ12111-1111-1-111-1-111-11-111-1-1-11-11-11-111-1-11-11-11-111111-1111-1111-11-11-11-111-1-11-111111-1-1-1-1-1-11-1-1-111-1-1-11-111-11-1-11-11
χ13111-11-1-1-11-11-11-1-1-11-111-111-1-111-1-11-111-1-11-11-111-1-111-1111-1-1-11-11-1-11-11-111-1-111-1-11-11-1-111-1-11-111-111-1-111-1-111-1-11
χ14111-11-1-1-11-11-11-1-1-11-111-111-1-11-111-1-11-111-1-11-111-1-111-1-1-11-111-11-111-11-1-11-111-11-1-11-11-1-11111-1-11-11-1-111-1-111-11-1-11
χ15111-11-1-1-1-111-11-1-1-11-111-11-111-11-1-11-111-1-11-11-111-1-11-11-1-1-11111-11-1-11-11-111-1-111-1-11-11-1-11111-11-1-11-11-1-11-111-1-111-1
χ16111-11-1-1-1-111-11-1-1-11-111-11-111-1-111-1-11-111-1-11-111-1-11-1111-11-1-1-11-111-11-1-11-111-11-1-11-11-1-111-1-111-11-11-111-11-1-11-111-1
χ172222222222222222222222222200002200002222-1-1-1-12200220000000000220000-1-1-1-1-1-1-1-1-1-10002200000000000-1-1-1-1
χ1822222222-2-2222222222222-2-2-2-200002200002222-1-1-1-1-2-200-2-20000000000220000-1-1-1-1-1-1-1-1-1-1000-2-2000000000001111
χ1922222-2-222222-2-2-2222222-222-2-20000-2-200002222-111-12200220000000000-2-20000-111-1-11-1-111000-2-200000000000-1-111
χ2022222-2-22-2-222-2-2-2222222-2-2-2220000-2-200002222-111-1-2-200-2-20000000000-2-20000-111-1-11-1-111000220000000000011-1-1
χ21222-2222-22-22-2-222-22-222-2-22-22-200002-20000-22-22-1-1-1-12-2002-200000000002-20000-1-1-1-11111110002-200000000000-11-11
χ22222-2222-2-222-2-222-22-222-2-2-22-2200002-20000-22-22-1-1-1-1-2200-2200000000002-20000-1-1-1-1111111000-22000000000001-11-1
χ23222-22-2-2-22-22-22-2-2-22-222-222-2-220000-220000-22-22-111-12-2002-20000000000-220000-111-11-111-1-1000-2200000000000-111-1
χ24222-22-2-2-2-222-22-2-2-22-222-22-222-20000-220000-22-22-111-1-2200-220000000000-220000-111-11-111-1-10002-2000000000001-1-11
χ2522-12-122-100222-1-12222-1-1-100002222222222-1-1-1-122220000000022-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-1-100000000
χ2622-12-122-100222-1-12222-1-1-10000-2-2-2-222-2-2-2-2-1-1-1-1222200000000-2-21111-2-2-1-11111-1-1-1-122-1-1-1-100000000111100000000
χ2722-12-1-2-2-10022-2112222-1-11000022-2-2-2-222-2-2-1-1-1-12-2-220000000022-1-111-2-211-1-111-111-12-2-1-11100000000-1-11100000000
χ2822-12-1-2-2-10022-2112222-1-110000-2-222-2-2-2-222-1-1-1-12-2-2200000000-2-211-1-1221111-1-1-111-12-2-1-1110000000011-1-100000000
χ2922-1-2-1221002-2-2-1-1-22-22-11100002-22-22-22-22-21-11-12222000000002-2-11-112-2-11-11-11-1-1-1-1-2-2111100000000-11-1100000000
χ3022-1-2-1221002-2-2-1-1-22-22-1110000-22-222-2-22-221-11-1222200000000-221-11-1-22-111-11-1-1-1-1-1-2-21111000000001-11-100000000
χ3122-1-2-1-2-21002-2211-22-22-11-100002-2-22-222-2-221-11-12-2-22000000002-2-111-1-221-1-111-1-111-1-2211-1-100000000-111-100000000
χ3222-1-2-1-2-21002-2211-22-22-11-10000-222-2-22-222-21-11-12-2-2200000000-221-1-112-21-11-1-11-111-1-2211-1-1000000001-1-1100000000
χ33333333333333333-1-1-1-133333331111-1-11111-1-1-1-10000-1-111-1-111-1-11111-1-1-1-111110000000000111-1-1111-1-1-1-1-1-1-1-10000
χ34333333333333333-1-1-1-13333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1111111110000
χ3533333333-3-333333-1-1-1-1333-3-3-3-31111-1-11111-1-1-1-1000011-1-111-1-1-1-11111-1-1-1-111110000000000-1-1-111-1-1-1-1-1-1-111110000
χ3633333333-3-333333-1-1-1-1333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111111111-1-1-1-111-1-1-1-1-1-10000000000111111111111-1-1-1-10000
χ3733333-3-333333-3-3-3-1-1-1-133-333-3-311-1-11111-1-1-1-1-1-10000-1-111-1-1-1-1-1-111-1-1111111-1-10000000000-11-11111-1-1-111-1-1110000
χ3833333-3-333333-3-3-3-1-1-1-133-333-3-3-1-11111-1-111-1-1-1-10000-1-1-1-1-1-11111-1-111-1-111-1-11100000000001-1111-1-1111-1-111-1-10000
χ3933333-3-33-3-333-3-3-3-1-1-1-133-3-3-33311-1-11111-1-1-1-1-1-1000011-1-11111-1-111-1-1111111-1-100000000001-11-1-1-1-11-1-11111-1-10000
χ4033333-3-33-3-333-3-3-3-1-1-1-133-3-3-333-1-11111-1-111-1-1-1-10000111111-1-111-1-111-1-111-1-1110000000000-11-1-1-111-111-1-1-1-1110000
χ41333-3333-33-33-3-3331-11-13-3-33-33-31-11-1-111-11-11-11-10000-1111-1111-111-11-1-11-111-11-100000000001-1-1-111-1-1-11-11-11-110000
χ42333-3333-33-33-3-3331-11-13-3-33-33-3-11-11-11-11-111-11-10000-11-1-1-11-1-11-1-11-111-1-11-11-110000000000-111-11-1111-11-11-11-10000
χ43333-3333-3-333-3-3331-11-13-3-3-33-331-11-1-111-11-11-11-100001-1-1-11-1-1-1-111-11-1-11-111-11-10000000000-1111-1-111-11-111-11-10000
χ44333-3333-3-333-3-3331-11-13-3-3-33-33-11-11-11-11-111-11-100001-1111-1111-1-11-111-1-11-11-1100000000001-1-11-11-1-11-11-1-11-110000
χ45333-33-3-3-33-33-33-3-31-11-13-333-3-331-1-111-11-1-111-11-10000-1111-11-1-1-111-1-111-11-11-1-110000000000-1-111-11-11-111-1-111-10000
χ46333-33-3-3-33-33-33-3-31-11-13-333-3-33-111-11-1-111-11-11-10000-11-1-1-11111-1-111-1-111-1-111-1000000000011-11-1-11-11-1-111-1-110000
χ47333-33-3-3-3-333-33-3-31-11-13-33-333-31-1-111-11-1-111-11-100001-1-1-11-111-111-1-111-11-11-1-11000000000011-1-11-11-1-111-11-1-110000
χ48333-33-3-3-3-333-33-3-31-11-13-33-333-3-111-11-1-111-11-11-100001-1111-1-1-11-1-111-1-111-1-111-10000000000-1-11-111-111-1-11-111-10000
χ4944-24-244-200444-2-24444-2-2-200000000440000-2-2-2-2-2-2-2-20000000000000000-2-200001111-2-2111100000000000000000000
χ5044-24-2-4-4-20044-4224444-2-2200000000-4-40000-2-2-2-2-222-200000000000000002200001-1-11-2211-1-100000000000000000000
χ5144-2-4-2442004-4-4-2-2-44-44-222000000004-400002-22-2-2-2-2-20000000000000000-220000111122-1-1-1-100000000000000000000
χ5244-2-4-2-4-42004-4422-44-44-22-200000000-4400002-22-2-222-200000000000000002-200001-1-112-2-1-11100000000000000000000
χ536666600666-2-20002-2-22-2-20-2-20000220000-2-22-2-220000-2-20022-2-2000022000000-2-200000000002020000-2000000000000
χ546666600666-2-20002-2-22-2-20-2-20000-2-20000222-2-220000-2-20022220000-2-2000000220000000000-20-200002000000000000
χ556666600666-2-2000-222-2-2-20-2-200220000-2-200-222-200002222-2-2000022000000-2-200000000000002000-2-20000000000000
χ566666600666-2-2000-222-2-2-20-2-200-2-200002200-222-2000022-2-2-2-20000-2-2000000220000000000000-2000220000000000000
χ5766666006-6-6-2-20002-2-22-2-20220000220000-2-22-2-2200002200-2-222000022000000-2-20000000000-20-200002000000000000
χ5866666006-6-6-2-20002-2-22-2-20220000-2-20000222-2-2200002200-2-2-2-20000-2-20000002200000000002020000-2000000000000
χ5966666006-6-6-2-2000-222-2-2-202200220000-2-200-222-20000-2-2-2-222000022000000-2-20000000000000-2000220000000000000
χ6066666006-6-6-2-2000-222-2-2-202200-2-200002200-222-20000-2-222220000-2-20000002200000000000002000-2-20000000000000
χ61666-6600-66-6-2200022-2-2-220-22002-20000-220022-2-200002-222-2200002-2000000-220000000000000-2000-220000000000000
χ62666-6600-66-6-2200022-2-2-220-2200-2200002-20022-2-200002-2-2-2-220000-220000002-2000000000000020002-20000000000000
χ63666-6600-66-6-22000-2-222-220-2200002-20000-22-2-2220000-22002-2-2-200002-2000000-22000000000020-200002000000000000
χ64666-6600-66-6-22000-2-222-220-220000-2200002-2-2-2220000-22002-2220000-220000002-20000000000-2020000-2000000000000
χ65666-6600-6-66-2200022-2-2-2202-2002-20000-220022-2-20000-22-2-22-200002-2000000-22000000000000020002-20000000000000
χ66666-6600-6-66-2200022-2-2-2202-200-2200002-20022-2-20000-22222-20000-220000002-20000000000000-2000-220000000000000
χ67666-6600-6-66-22000-2-222-2202-200002-20000-22-2-22200002-200-222200002-2000000-220000000000-2020000-2000000000000
χ68666-6600-6-66-22000-2-222-2202-20000-2200002-2-2-22200002-200-22-2-20000-220000002-2000000000020-200002000000000000
χ6966-36-366-300666-3-3-2-2-2-2-3-3-300002222-2-222221111000000000000-2-2-1-1-1-1-2-211-1-1-1-1000000000000000000111100000000
χ7066-36-366-300666-3-3-2-2-2-2-3-3-30000-2-2-2-2-2-2-2-2-2-2111100000000000022111122111111000000000000000000-1-1-1-100000000
χ7166-36-3-6-6-30066-633-2-2-2-2-3-33000022-2-22222-2-21111000000000000-2-2-1-11122-1-1-1-11100000000000000000011-1-100000000
χ7266-36-3-6-6-30066-633-2-2-2-2-3-330000-2-22222-2-22211110000000000002211-1-1-2-2-1-111-1-1000000000000000000-1-11100000000
χ7366-3-6-3663006-6-6-3-32-22-2-33300002-22-2-222-22-2-11-11000000000000-22-11-11-221-1-11-110000000000000000001-11-100000000
χ7466-3-6-3663006-6-6-3-32-22-2-3330000-22-22-22-22-22-11-110000000000002-21-11-12-21-11-11-1000000000000000000-11-1100000000
χ7566-3-6-3-6-63006-66332-22-2-33-300002-2-222-22-2-22-11-11000000000000-22-111-12-2-11-111-10000000000000000001-1-1100000000
χ7666-3-6-3-6-63006-66332-22-2-33-30000-222-22-2-222-2-11-110000000000002-21-1-11-22-111-1-11000000000000000000-111-100000000
χ778-880-84-40000004-4000000000000000000000000022-2-2004-4004-40000000000000022-2-200000000000000000000000000
χ788-880-84-40000004-4000000000000000000000000022-2-200-4400-440000000000000022-2-200000000000000000000000000
χ798-880-8-44000000-4400000000000000000000000002-22-2004-400-44000000000000002-22-200000000000000000000000000
χ808-880-8-44000000-4400000000000000000000000002-22-200-44004-4000000000000002-22-200000000000000000000000000
χ811212-612-600-600-4-40004-4-44220000000440000-4-4-222-20000000000000000-2-200000022000000000000000000000000000000
χ821212-612-600-600-4-40004-4-44220000000-4-4000044-222-2000000000000000022000000-2-2000000000000000000000000000000
χ831212-612-600-600-4-4000-444-42200000440000-4-4002-2-2200000000000000-2-20000002200000000000000000000000000000000
χ841212-612-600-600-4-4000-444-42200000-4-4000044002-2-220000000000000022000000-2-200000000000000000000000000000000
χ851212-6-12-600600-4400044-4-42-2000004-40000-4400-2-22200000000000000-220000002-200000000000000000000000000000000
χ861212-6-12-600600-4400044-4-42-200000-4400004-400-2-222000000000000002-2000000-2200000000000000000000000000000000
χ871212-6-12-600600-44000-4-4442-200000004-40000-4422-2-20000000000000000-220000002-2000000000000000000000000000000
χ881212-6-12-600600-44000-4-4442-20000000-4400004-422-2-200000000000000002-2000000-22000000000000000000000000000000
χ8916-16160-168-80000008-80000000000000000000000000-2-2220000000000000000000000-2-22200000000000000000000000000
χ9016-16160-16-88000000-880000000000000000000000000-22-220000000000000000000000-22-2200000000000000000000000000
χ9116-16-8088-8000000-44000000000000000000000000044-4-40000000000000000000000-2-22200000000000000000000000000
χ9216-16-8088-8000000-440000000000000000000000000-2-222000000000000000000000011-1-1003i−3i3i−3i00000000000000000000
χ9316-16-8088-8000000-440000000000000000000000000-2-222000000000000000000000011-1-100−3i3i−3i3i00000000000000000000
χ9416-16-808-880000004-400000000000000000000000004-44-40000000000000000000000-22-2200000000000000000000000000
χ9516-16-808-880000004-40000000000000000000000000-22-2200000000000000000000001-11-1003i−3i−3i3i00000000000000000000
χ9616-16-808-880000004-40000000000000000000000000-22-2200000000000000000000001-11-100−3i3i3i−3i00000000000000000000

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