Finite Group Databasebeta

← Group #72242903

Character table — Group #72242903

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1388912182424273232364848547272969610810810810814421621613889121824242732323648485472729696108108108108144216216
order12332246623326646666888812442266224662662664666688881244
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11-1-111111111111111111111-1-1-1-11-1-1
χ311111-111-1111-1-1-11-11-1-111111-1-111111-111-1111-1-1-11-11-1-111111-1-1
χ411111-111-1111-1-1-11-11-1-1-1-1-1-111111111-111-1111-1-1-11-11-1-1-1-1-1-1111
χ5222220-220222000-202000000-200222220-220222000-202000000-200
χ62222-20020-22200000-200−i2i2−i2i20002222-20020-22200000-200−i2i2−i2i2000
χ72222-20020-22200000-200i2−i2i2−i20002222-20020-22200000-200i2−i2i2−i2000
χ8222-120-2202-1-10−i3i3-20-1−i3i30000100222-120-2202-1-10−i3i3-20-1−i3i30000100
χ9222-120-2202-1-10i3−i3-20-1i3−i30000100222-120-2202-1-10i3−i3-20-1i3−i30000100
χ10222-1222222-1-12-1-122-1-1-10000-100222-1222222-1-12-1-122-1-1-10000-100
χ11222-12-222-22-1-1-2112-2-1110000-100222-12-222-22-1-1-2112-2-1110000-100
χ123-130333-13-100-100-1-100011-1-101-13-130333-13-100-100-1-100011-1-101-1
χ133-130333-13-100-100-1-1000-1-1110-113-130333-13-100-100-1-1000-1-1110-11
χ143-1303-33-1-3-100100-1100011-1-10-113-1303-33-1-3-100100-1100011-1-10-11
χ153-1303-33-1-3-100100-11000-1-11101-13-1303-33-1-3-100100-11000-1-11101-1
χ16444-2-40040-4-2-2000002000000000444-2-40040-4-2-2000002000000000
χ176-26060-6-20-2000002000000000006-26060-6-20-200000200000000000
χ186-260-600-2020000000000−i2i2i2−i20006-260-600-2020000000000−i2i2i2−i2000
χ196-260-600-2020000000000i2−i2−i2i20006-260-600-2020000000000i2−i2−i2i2000
χ2088-18020-1-10-1-12220-10-1-1000000088-18020-1-10-1-12220-10-1-10000000
χ2188-180-20-110-1-1-2-2-201011000000088-180-20-110-1-1-2-2-2010110000000
χ2288-1-4020-1-101−3i321+3i322−1−i3−1+i30-101+i321−i32000000088-1-4020-1-101−3i321+3i322−1−i3−1+i30-101+i321−i320000000
χ2388-1-4020-1-101+3i321−3i322−1+i3−1−i30-101−i321+i32000000088-1-4020-1-101+3i321−3i322−1+i3−1−i30-101−i321+i320000000
χ2488-1-40-20-1101−3i321+3i32-21+i31−i3010−1−i32−1+i32000000088-1-40-20-1101−3i321+3i32-21+i31−i3010−1−i32−1+i320000000
χ2588-1-40-20-1101+3i321−3i32-21−i31+i3010−1+i32−1−i32000000088-1-40-20-1101+3i321−3i32-21−i31+i3010−1+i32−1−i320000000
χ2624-8-300601-3000-20001000000000024-8-300601-3000-200010000000000
χ2724-8-300-60130002000-1000000000024-8-300-60130002000-10000000000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2911111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ3011111-111-1111-1-1-11-11-1-111111-1-1-1-1-1-1-11-1-11-1-1-1111-11-111-1-1-1-1-111
χ3111111-111-1111-1-1-11-11-1-1-1-1-1-1111-1-1-1-1-11-1-11-1-1-1111-11-1111111-1-1-1
χ32222220-220222000-202000000-200-2-2-2-2-202-20-2-2-200020-2000000200
χ332222-20020-22200000-200−i2i2−i2i2000-2-2-2-2200-202-2-200000200i2−i2i2−i2000
χ342222-20020-22200000-200i2−i2i2−i2000-2-2-2-2200-202-2-200000200−i2i2−i2i2000
χ35222-120-2202-1-10−i3i3-20-1−i3i30000100-2-2-21-202-20-2110i3−i3201i3−i30000-100
χ36222-120-2202-1-10i3−i3-20-1i3−i30000100-2-2-21-202-20-2110−i3i3201−i3i30000-100
χ37222-1222222-1-12-1-122-1-1-10000-100-2-2-21-2-2-2-2-2-211-211-2-21110000100
χ38222-12-222-22-1-1-2112-2-1110000-100-2-2-21-22-2-22-2112-1-1-221-1-10000100
χ393-130333-13-100-100-1-100011-1-101-1-31-30-3-3-31-310010011000-1-1110-11
χ403-130333-13-100-100-1-1000-1-1110-11-31-30-3-3-31-31001001100011-1-101-1
χ413-1303-33-1-3-100100-1100011-1-10-11-31-30-33-313100-1001-1000-1-11101-1
χ423-1303-33-1-3-100100-11000-1-11101-1-31-30-33-313100-1001-100011-1-10-11
χ43444-2-40040-4-2-2000002000000000-4-4-42400-4042200000-2000000000
χ446-26060-6-20-200000200000000000-62-60-60620200000-200000000000
χ456-260-600-2020000000000−i2i2i2−i2000-62-6060020-20000000000i2−i2−i2i2000
χ466-260-600-2020000000000i2−i2−i2i2000-62-6060020-20000000000−i2i2i2−i2000
χ4788-18020-1-10-1-12220-10-1-10000000-8-81-80-2011011-2-2-2010110000000
χ4888-180-20-110-1-1-2-2-2010110000000-8-81-80201-10112220-10-1-10000000
χ4988-1-4020-1-101−3i321+3i322−1−i3−1+i30-101+i321−i320000000-8-8140-20110−1+3i32−1−3i32-21+i31−i3010−1−i32−1+i320000000
χ5088-1-4020-1-101+3i321−3i322−1+i3−1−i30-101−i321+i320000000-8-8140-20110−1−3i32−1+3i32-21−i31+i3010−1+i32−1−i320000000
χ5188-1-40-20-1101−3i321+3i32-21+i31−i3010−1−i32−1+i320000000-8-8140201-10−1+3i32−1−3i322−1−i3−1+i30-101+i321−i320000000
χ5288-1-40-20-1101+3i321−3i32-21−i31+i3010−1+i32−1−i320000000-8-8140201-10−1−3i32−1+3i322−1+i3−1−i30-101−i321+i320000000
χ5324-8-300601-3000-200010000000000-248300-60-130002000-10000000000
χ5424-8-300-60130002000-10000000000-24830060-1-3000-200010000000000

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