Finite Group Databasebeta

← Group #13139203

Character table — Group #13139203

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112222244466666688812121212121212121224242424242424242424363636363636363636363636727272727272727272727272
order1223446612123366121282424366612121212126122424242424242424224444441212121246681212121212122424
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-1-1-1111111-11-1-1-1-11-1-1-1-1-1
χ311111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-11-11-1-1-1-1111-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ51111111111111111-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1
χ61111111111111111-1-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-11-1-11-11111
χ71111111111111111-1-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-1-11-1-111
χ81111111111111111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1
χ922222222222-12-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-102020000000020-10000-1-1-100
χ1022222222222-12-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10-20-200000000-201000011100
χ1122222222222-12-122-2-2-2-1-1-122-1-1-1-1-1-1-2-2111111020200000000-20-10000-11100
χ1222222222222-12-122-2-2-2-1-1-122-1-1-1-1-1-1-2-21111110-20-20000000020100001-1-100
χ132222222222-12-12-1-1222-12-1-1-122-1-1-1-1-1-122-1-1-1-120200022-1-1-1-10-10000-100000
χ142222222222-12-12-1-1222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-20-2000-2-21111010000100000
χ152222222222-12-12-1-1-2-2-2-12-1-1-122-1-1-1-111-2-21111202000-2-211110-10000-100000
χ162222222222-12-12-1-1-2-2-2-12-1-1-122-1-1-1-111-2-21111-20-200022-1-1-1-1010000100000
χ172222-2-222-2-22222-2-20002222-2-2-2-2-22-20000000000002-200000000002-2000000
χ182222-2-222-2-22222-2-20002222-2-2-2-2-22-2000000000000-220000000000-22000000
χ1922-222-22-22-22222220002-22-2-2-2222-2-200000000020-2000000000020000-20000
χ2022-222-22-22-22222220002-22-2-2-2222-2-2000000000-2020000000000-2000020000
χ2122-222-22-22-22-12-122000-11-1-2-21-1-1-11100−i3i3−i3−i3i3i3020-20000000000-100001−i3i300
χ2222-222-22-22-22-12-122000-11-1-2-21-1-1-11100−i3i3−i3−i3i3i30-202000000000010000-1i3−i300
χ2322-222-22-22-22-12-122000-11-1-2-21-1-1-11100i3−i3i3i3−i3−i3020-20000000000-100001i3−i300
χ2422-222-22-22-22-12-122000-11-1-2-21-1-1-11100i3−i3i3i3−i3−i30-202000000000010000-1−i3i300
χ2522-22-222-2-222222-2-20002-22-222-2-2-2-220000000020-2000000000020000-200000
χ2622-22-222-2-222222-2-20002-22-222-2-2-2-2200000000-2020000000000-20000200000
χ2722-22-222-2-22-12-1211000-1-2-11-12-2111-13−3003−33−320-20000033−3−30-10000100000
χ2822-22-222-2-22-12-1211000-1-2-11-12-2111-13−3003−33−3-20200000−3−333010000-100000
χ2922-22-222-2-22-12-1211000-1-2-11-12-2111-1−3300−33−3320-200000−3−3330-10000100000
χ3022-22-222-2-22-12-1211000-1-2-11-12-2111-1−3300−33−33-2020000033−3−3010000-100000
χ314444444444-2-2-2-2-2-24441-21-2-2-2-21111-2-2-2-21111000000000000000000000000
χ324444444444-2-2-2-2-2-2-4-4-41-21-2-2-2-211112222-1-1-1-1000000000000000000000000
χ334444-4-444-4-44-24-2-4-4000-2-2-24-42222-2200000000000000000000000000000000
χ344444-4-444-4-4-24-2422000-24-2-22-4-422-2200000000000000000000000000000000
χ354444-4-444-4-4-2-2-2-2220001-21-2222-1-11-100003i−3i−3i3i000000000000000000000000
χ364444-4-444-4-4-2-2-2-2220001-21-2222-1-11-10000−3i3i3i−3i000000000000000000000000
χ3744-444-44-44-4-24-24-2-2000-2-4-222-44-2-22200000000000000000000000000000000
χ3844-444-44-44-4-2-2-2-2-2-2000121222-211-1-100−2i32i3i3i3−i3−i3000000000000000000000000
χ3944-444-44-44-4-2-2-2-2-2-2000121222-211-1-1002i3−2i3−i3−i3i3i3000000000000000000000000
χ4044-44-444-4-444-24-2-4-4000-22-2-44-22222-200000000000000000000000000000000
χ4144-44-444-4-44-2-2-2-2220001212-2-22-1-1-1123−2300−33−33000000000000000000000000
χ4244-44-444-4-44-2-2-2-2220001212-2-22-1-1-11−2323003−33−3000000000000000000000000
χ434-40400-400044-4-40000040-400000000000000000000002-22-22-2000000000000
χ444-40400-400044-4-40000040-40000000000000000000000-22-22-22000000000000
χ454-40400-4000-242-423−23000-202000023−2300000000000000002-2−1−31+3−1+31−3000000000000
χ464-40400-4000-242-423−23000-202000023−230000000000000000-221+3−1−31−3−1+3000000000000
χ474-40400-4000-242-4−2323000-2020000−232300000000000000002-2−1+31−3−1−31+3000000000000
χ484-40400-4000-242-4−2323000-2020000−23230000000000000000-221−3−1+31+3−1−3000000000000
χ49666-366-3-3-3-30000006-3-300000000000000000000000220000000002-1-10000-1-1
χ50666-366-3-3-3-30000006-3-300000000000000000000000-2-2000000000-211000011
χ51666-366-3-3-3-3000000-6330000000000000000000000022000000000-2-1-1000011
χ52666-366-3-3-3-3000000-63300000000000000000000000-2-20000000002110000-1-1
χ53666-3-6-6-3-333000000033−33000000000000000000000002-20000000000-1100003−3
χ54666-3-6-6-3-333000000033−3300000000000000000000000-2200000000001-10000−33
χ55666-3-6-6-3-3330000000−3333000000000000000000000002-20000000000-110000−33
χ56666-3-6-6-3-3330000000−333300000000000000000000000-2200000000001-100003−3
χ578-80800-80008-4-8400000-4040000000000000000000000000000000000000000
χ588-80800-8000-4-44443−4300020-20000−23230000000000000000000000000000000000
χ598-80800-8000-4-444−434300020-2000023−230000000000000000000000000000000000
χ601212-12-612-12-66-660000000000000000000000000000000000000000000000000000
χ611212-12-6-1212-666-60000000000000000000000000000000000000000000000000000
χ6224-240-1200120000000000000000000000000000000000000000000000000000000

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