Finite Group Databasebeta

← Group #13180270

Character table — Group #13180270

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122668812121212121616182424243636224412121616242424242432323648484872723366181824243636363636484854727272108108
order12362436481224243646612283636612361224122424361266126242266246648122424664661228
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-11-1-111111-1-1-111111111-1-11-1-111111-1-1-111111111-1-11-1-111111-1-1-1
χ31111-11111111111-1-1-11-1-11111-11111111111-1-1-11-1-11111-11111111111-1-1-11-1-1
χ41111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-111
χ5222222-1-100200-1-12-1-1000222222-1-100200-1-12-1-1000222222-1-100200-1-12-1-1000
χ62222-22-1-100200-1-1-2110002222-22-1-100200-1-1-2110002222-22-1-100200-1-1-211000
χ722-1-1022222-1-1-1-1-1000-10022-1-1022222-1-1-1-1-1000-10022-1-1022222-1-1-1-1-1000-100
χ822-1-10222-2-2-111-1-100010022-1-10222-2-2-111-1-100010022-1-10222-2-2-111-1-1000100
χ933333-1001-1-1-1-100-10011-133333-1001-1-1-1-100-10011-133333-1001-1-1-1-100-10011-1
χ1033333-100-11-11100-100-1-1133333-100-11-11100-100-1-1133333-100-11-11100-100-1-11
χ113333-3-1001-1-1-1-1001001-113333-3-1001-1-1-1-1001001-113333-3-1001-1-1-1-1001001-11
χ123333-3-100-11-11100100-11-13333-3-100-11-11100100-11-13333-3-100-11-11100100-11-1
χ1344-2-204-2-200-2001100000044-2-204-2-200-2001100000044-2-204-2-200-20011000000
χ144-44-4001-1000001-10−i3i30004-44-4001-1000001-10−i3i30004-44-4001-1000001-10−i3i3000
χ154-44-4001-1000001-10i3−i30004-44-4001-1000001-10i3−i30004-44-4001-1000001-10i3−i3000
χ164-44-400-2200000-220000004-44-400-2200000-220000004-44-400-2200000-22000000
χ174-4-2200-22000i6−i61-10000004-4-2200-22000i6−i61-10000004-4-2200-22000i6−i61-1000000
χ184-4-2200-22000−i6i61-10000004-4-2200-22000−i6i61-10000004-4-2200-22000−i6i61-1000000
χ1966-3-30-2002-211100000-10066-3-30-2002-211100000-10066-3-30-2002-211100000-100
χ2066-3-30-200-221-1-10000010066-3-30-200-221-1-10000010066-3-30-200-221-1-100000100
χ218-8-44002-200000-110000008-8-44002-200000-110000008-8-44002-200000-11000000
χ22111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311111111-1-11-1-111111-1-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1111
χ241111-11111111111-1-1-11-1-11111-11111111111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-111
χ251111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-111-1-1-1-11-1-1-111-111-1-11111-1-1
χ26222222-1-100200-1-12-1-1000222222-1-100200-1-12-1-1000-2-2-2-2-2-21100-20011-211000
χ272222-22-1-100200-1-1-2110002222-22-1-100200-1-1-211000-2-2-2-22-21100-200112-1-1000
χ2822-1-1022222-1-1-1-1-1000-10022-1-1022222-1-1-1-1-1000-100-2-2110-2-2-2-2-211111000100
χ2922-1-10222-2-2-111-1-100010022-1-10222-2-2-111-1-1000100-2-2110-2-2-2221-1-111000-100
χ3033333-1001-1-1-1-100-10011-133333-1001-1-1-1-100-10011-1-3-3-3-3-3100-1111100100-1-11
χ3133333-100-11-11100-100-1-1133333-100-11-11100-100-1-11-3-3-3-3-31001-11-1-10010011-1
χ323333-3-1001-1-1-1-1001001-113333-3-1001-1-1-1-1001001-11-3-3-3-33100-1111100-100-11-1
χ333333-3-100-11-11100100-11-13333-3-100-11-11100100-11-1-3-3-3-331001-11-1-100-1001-11
χ3444-2-204-2-200-2001100000044-2-204-2-200-20011000000-4-4220-42200200-1-1000000
χ354-44-4001-1000001-10−i3i30004-44-4001-1000001-10−i3i3000-44-4400-1100000-110i3−i3000
χ364-44-4001-1000001-10i3−i30004-44-4001-1000001-10i3−i3000-44-4400-1100000-110−i3i3000
χ374-44-400-2200000-220000004-44-400-2200000-22000000-44-44002-2000002-2000000
χ384-4-2200-22000i6−i61-10000004-4-2200-22000i6−i61-1000000-442-2002-2000−i6i6-11000000
χ394-4-2200-22000−i6i61-10000004-4-2200-22000−i6i61-1000000-442-2002-2000i6−i6-11000000
χ4066-3-30-2002-211100000-10066-3-30-2002-211100000-100-6-6330200-22-1-1-100000100
χ4166-3-30-200-221-1-10000010066-3-30-200-221-1-100000100-6-63302002-2-11100000-100
χ428-8-44002-200000-110000008-8-44002-200000-11000000-884-400-22000001-1000000
χ43222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ4422222222-2-22-2-222222-2-2-2-1-1-1-1-1-1-1-111-111-1-1-1-1-1111000000000000000000000
χ452222-22222222222-2-2-22-2-2-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-111000000000000000000000
χ462222-2222-2-22-2-222-2-2-2-222-1-1-1-11-1-1-111-111-1-11111-1-1000000000000000000000
χ47444444-2-200400-2-24-2-2000-2-2-2-2-2-21100-20011-211000000000000000000000000
χ484444-44-2-200400-2-2-422000-2-2-2-22-21100-200112-1-1000000000000000000000000
χ4944-2-2044444-2-2-2-2-2000-200-2-2110-2-2-2-2-211111000100000000000000000000000
χ5044-2-20444-4-4-222-2-2000200-2-2110-2-2-2221-1-111000-100000000000000000000000
χ5166666-2002-2-2-2-200-20022-2-3-3-3-3-3100-1111100100-1-11000000000000000000000
χ5266666-200-22-22200-200-2-22-3-3-3-3-31001-11-1-10010011-1000000000000000000000
χ536666-6-2002-2-2-2-2002002-22-3-3-3-33100-1111100-100-11-1000000000000000000000
χ546666-6-200-22-22200200-22-2-3-3-3-331001-11-1-100-1001-11000000000000000000000
χ5588-4-408-4-400-40022000000-4-4220-42200200-1-1000000000000000000000000000
χ568-88-8002-2000002-20−2i32i3000-44-4400-1100000-110i3−i3000000000000000000000000
χ578-88-8002-2000002-202i3−2i3000-44-4400-1100000-110−i3i3000000000000000000000000
χ588-88-800-4400000-44000000-44-44002-2000002-2000000000000000000000000000
χ598-8-4400-440002i6−2i62-2000000-442-2002-2000−i6i6-11000000000000000000000000000
χ608-8-4400-44000−2i62i62-2000000-442-2002-2000i6−i6-11000000000000000000000000000
χ611212-6-60-4004-422200000-200-6-6330200-22-1-1-100000100000000000000000000000
χ621212-6-60-400-442-2-200000200-6-63302002-2-11100000-100000000000000000000000
χ6316-16-88004-400000-22000000-884-400-22000001-1000000000000000000000000000

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