Finite Group Databasebeta

← Group #13141002

Character table — Group #13141002

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122222224466668881212121212121212121224242424242424242424363636363636363636363636727272727272727272727272
order12234466612123366412123666661212121212121212121212121212224444441212121266881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11-11-1-1-11-111-1-1
χ311111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-11-11-1-1-11-1-111
χ411111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ5111111111111111-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111-1-1-11111111111-1-1-1-111-1-1-1-11-11-1-1-11111111-1-11-1-11-1-1-111
χ7111111111111111-1-1-11111111111-1-1-1-111-1-1-1-1-11-11-1-1111111-111-1-1-1-1111-1-1
χ8111111111111111-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111
χ9222222222222-12-1222-12-1-1-1-12-12-122-1-1-1-1-1-1-1-10202000000000-102000-100-1-1
χ10222222222222-12-1222-12-1-1-1-12-12-122-1-1-1-1-1-1-1-10-20-200000000010-200010011
χ11222222222222-12-1-2-2-2-12-1-1-1-12-12-1-2-211-1-111110202000000000-10-2000-10011
χ12222222222222-12-1-2-2-2-12-1-1-1-12-12-1-2-211-1-111110-20-2000000000102000100-1-1
χ1322222222222-12-12222-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1202000000000-102000-10-1-100
χ1422222222222-12-12222-1-12-1-1-1-12-12-1-122-1-1-1-1-1-1-20-200000000010-2000101100
χ1522222222222-12-12-2-2-2-1-12-1-1-1-12-1211-2-2-1-11111202000000000-10-2000-101100
χ1622222222222-12-12-2-2-2-1-12-1-1-1-12-1211-2-2-1-11111-20-200000000010200010-1-100
χ172222-2-2222-2-22222000222222-2-2-2-20000-2-2000000002-200000000002-2000000
χ182222-2-2222-2-22222000222222-2-2-2-20000-2-200000000-220000000000-22000000
χ1922-222-2-2-222-222220002-2-2-2-222-2-2200002-20000020-2000000000200000-20000
χ2022-222-2-2-222-222220002-2-2-2-222-2-2200002-200000-202000000000-20000020000
χ2122-222-2-2-222-22-12-1000-1-2111-121-2-100i3−i3-11i3i3−i3−i3020-2000000000-100000100i3−i3
χ2222-222-2-2-222-22-12-1000-1-2111-121-2-100i3−i3-11i3i3−i3−i30-202000000000100000-100−i3i3
χ2322-222-2-2-222-22-12-1000-1-2111-121-2-100−i3i3-11−i3−i3i3i3020-2000000000-100000100−i3i3
χ2422-222-2-2-222-22-12-1000-1-2111-121-2-100−i3i3-11−i3−i3i3i30-202000000000100000-100i3−i3
χ2522-22-22-2-22-2222220002-2-2-2-22-222-20000-22000020-2000000000200000-200000
χ2622-22-22-2-22-2222220002-2-2-2-22-222-20000-220000-202000000000-200000200000
χ2722-22-22-2-22-22-12-12000-11-211-112-1-2i3−i3001-1i3−i3i3−i320-2000000000-10000010i3−i300
χ2822-22-22-2-22-22-12-12000-11-211-112-1-2i3−i3001-1i3−i3i3−i3-202000000000100000-10−i3i300
χ2922-22-22-2-22-22-12-12000-11-211-112-1-2−i3i3001-1−i3i3−i3i320-2000000000-10000010−i3i300
χ3022-22-22-2-22-22-12-12000-11-211-112-1-2−i3i3001-1−i3i3−i3i3-202000000000100000-10i3−i300
χ3144444444444-2-2-2-24441-2-2111-2-2-2-2-2-2-2-2111111000000000000000000000000
χ3244444444444-2-2-2-2-4-4-41-2-2111-2-2-2-2222211-1-1-1-1000000000000000000000000
χ334444-4-4444-4-44-24-2000-24-2-2-2-2-42-420000220000000000000000000000000000
χ344444-4-4444-4-4-24-24000-2-24-2-2-22-42-40000220000000000000000000000000000
χ354444-4-4444-4-4-2-2-2-20001-2-211122220000-1-13-3-33000000000000000000000000
χ364444-4-4444-4-4-2-2-2-20001-2-211122220000-1-1-333-3000000000000000000000000
χ3744-444-4-4-444-4-24-24000-22-422-2-2-4240000-220000000000000000000000000000
χ3844-444-4-4-444-4-2-2-2-2000122-1-11-222-2002i3−2i31-1−i3−i3i3i3000000000000000000000000
χ3944-444-4-4-444-4-2-2-2-2000122-1-11-222-200−2i32i31-1i3i3−i3−i3000000000000000000000000
χ4044-44-44-4-44-444-24-2000-2-4222-2-4-24200002-20000000000000000000000000000
χ4144-44-44-4-44-44-2-2-2-2000122-1-112-2-222i3−2i300-11−i3i3−i3i3000000000000000000000000
χ4244-44-44-4-44-44-2-2-2-2000122-1-112-2-22−2i32i300-11i3−i3i3−i3000000000000000000000000
χ434-4040000-40044-4-400040000-4000000000000000000002-222-2-2000000000000
χ444-4040000-40044-4-400040000-400000000000000000000-22-2-222000000000000
χ45666-366-3-3-3-3-300006-3-30000000000000000000000002222-1-1-1-10000-1-1000000
χ46666-366-3-3-3-3-300006-3-3000000000000000000000000-2-2-2-21111000011000000
χ47666-366-3-3-3-3-30000-63300000000000000000000000022-2-211110000-1-1000000
χ48666-366-3-3-3-3-30000-633000000000000000000000000-2-222-1-1-1-1000011000000
χ49666-3-6-6-3-3-333000003i3−3i30000000000000000000000002-200i3−i3i3−i30000-11000000
χ50666-3-6-6-3-3-333000003i3−3i3000000000000000000000000-2200−i3i3−i3i300001-1000000
χ51666-3-6-6-3-3-33300000−3i33i30000000000000000000000002-200−i3i3−i3i30000-11000000
χ52666-3-6-6-3-3-33300000−3i33i3000000000000000000000000-2200i3−i3i3−i300001-1000000
χ538-8080000-8008-4-84000-40000400000000000000000000000000000000000000
χ548-8080000-800-484-8000-40000400000000000000000000000000000000000000
χ558-8080000-800-4-4440002006-6-200000000000000000000000000000000000000
χ568-8080000-800-4-444000200-66-200000000000000000000000000000000000000
χ571212-12-612-1266-6-66000000000000000000000000000000000000000000000000000
χ581212-12-6-121266-66-6000000000000000000000000000000000000000000000000000
χ5912-120-6006i3−6i36000000000000000000000000000000000002-2−1+i3−1−i31−i31+i3000000000000
χ6012-120-6006i3−6i3600000000000000000000000000000000000-221−i31+i3−1+i3−1−i3000000000000
χ6112-120-600−6i36i36000000000000000000000000000000000002-2−1−i3−1+i31+i31−i3000000000000
χ6212-120-600−6i36i3600000000000000000000000000000000000-221+i31−i3−1−i3−1+i3000000000000

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