Finite Group Databasebeta

← Group #72220759

Character table — Group #72220759

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444888888999916161616161616161616161616161616181836363636363672727272727272727272727272728181162162162162162162162162162324324324324324324
order12233663666662222333366666666666622446666666666121212121212121222244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111111-111111111-1-1-1-111111111-1-1-1iiii−i−i−i−i-1-1i−ii−i
χ61111111111111-1-11111111111111111111-111111111-1-1-1-111111111-1-1-1−i−i−i−iiiii-1-1−ii−ii
χ71111111111111-1-11111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−ii−ii
χ81111111111111-1-11111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11i−ii−i
χ911-111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-111-111-1-111-1-11-111-1-1
χ1011-111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-111-1-1-111-1-1111-1-1-111
χ1111-111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-111-1-111-1-1-11-1-111
χ1211-111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-111-1-111-1111-1-1
χ1311-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-11ii−i−i−i−iii-11i−i−ii
χ1411-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-11−i−iiiii−i−i-11−iii−i
χ1511-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-11ii−i−i−i−iii1-1−iii−i
χ1611-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-11−i−iiiii−i−i1-1i−i−ii
χ17222222222222222-2-22222222222222222-2200-2-2-2-2-2-2222200000000-2-2-200000000000000
χ182222222222222-2-2-2-22222222222222222-2-200-2-2-2-2-2-2-2-2-2-20000000022200000000000000
χ1922-222222-2-22-2-222-2-222222222-2-2-2-2-2-2-2-22-200-2-2-2-22222-2-200000000-2-2200000000000000
χ2022-222222-2-22-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2-2-222-2-2220000000022-200000000000000
χ212-2022-2-2200-2002-22-22222-2-2-2-200000000000022-2-2002-200000000002-20002i−2i002i−2i000000
χ222-2022-2-2200-2002-22-22222-2-2-2-200000000000022-2-2002-200000000002-2000−2i2i00−2i2i000000
χ232-2022-2-2200-2002-2-222222-2-2-2-2000000000000-2-222002-20000000000-2202-2002-200000000
χ242-2022-2-2200-2002-2-222222-2-2-2-2000000000000-2-222002-20000000000-220-2200-2200000000
χ252-2022-2-2200-200-222-22222-2-2-2-200000000000022-2-200-220000000000-220002-200-22000000
χ262-2022-2-2200-200-222-22222-2-2-2-200000000000022-2-200-220000000000-22000-22002-2000000
χ272-2022-2-2200-200-22-222222-2-2-2-2000000000000-2-22200-2200000000002-202i−2i00−2i2i00000000
χ282-2022-2-2200-200-22-222222-2-2-2-2000000000000-2-22200-2200000000002-20−2i2i002i−2i00000000
χ294441-21-241-2444004411-2-211-2-21111-2-2-2-240441-21-21-2000011-2-211-2-200000000000000000
χ304441-21-241-2444004411-2-211-2-21111-2-2-2-240-4-41-21-21-20000-1-122-1-12200000000000000000
χ314441-21-241-244400-4-411-2-211-2-21111-2-2-2-2-4000-12-12-1200003i−3i003i−3i0000000000000000000
χ324441-21-241-244400-4-411-2-211-2-21111-2-2-2-2-4000-12-12-120000−3i3i00−3i3i0000000000000000000
χ33444-21-214-214440044-2-211-2-211-2-2-2-211114044-21-21-210000-2-211-2-21100000000000000000
χ34444-21-214-214440044-2-211-2-211-2-2-2-2111140-4-4-21-21-21000022-1-122-1-100000000000000000
χ35444-21-214-2144400-4-4-2-211-2-211-2-2-2-21111-40002-12-12-10000003i−3i003i−3i00000000000000000
χ36444-21-214-2144400-4-4-2-211-2-211-2-2-2-21111-40002-12-12-1000000−3i3i00−3i3i00000000000000000
χ3744-41-21-24-124-4-4004411-2-211-2-2-1-1-1-12222-404-41-21-2-12000011-2-2-1-12200000000000000000
χ3844-41-21-24-124-4-4004411-2-211-2-2-1-1-1-12222-40-441-21-2-120000-1-12211-2-200000000000000000
χ3944-41-21-24-124-4-400-4-411-2-211-2-2-1-1-1-122224000-12-121-200003i−3i00−3i3i0000000000000000000
χ4044-41-21-24-124-4-400-4-411-2-211-2-2-1-1-1-122224000-12-121-20000−3i3i003i−3i0000000000000000000
χ4144-4-21-2142-14-4-40044-2-211-2-2112222-1-1-1-1-404-4-21-212-10000-2-21122-1-100000000000000000
χ4244-4-21-2142-14-4-40044-2-211-2-2112222-1-1-1-1-40-44-21-212-1000022-1-1-2-21100000000000000000
χ4344-4-21-2142-14-4-400-4-4-2-211-2-2112222-1-1-1-140002-12-1-210000003i−3i00−3i3i00000000000000000
χ4444-4-21-2142-14-4-400-4-4-2-211-2-2112222-1-1-1-140002-12-1-21000000−3i3i003i−3i00000000000000000
χ458888888-188-1-1-18800-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10800000000-1-1-1-10000000000000000000000000
χ468888888-188-1-1-1-8-800-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-80000000011110000000000000000000000000
χ4788-88888-1-8-8-1118800-1-1-1-1-1-1-1-1111111110-800000000-1-1110000000000000000000000000
χ4888-88888-1-8-8-111-8-800-1-1-1-1-1-1-1-111111111080000000011-1-10000000000000000000000000
χ498-802-4-24800-800008-822-4-4-2-2440000000000002-4-240000000000000000000000000000000
χ508-802-4-24800-80000-8822-4-4-2-244000000000000-242-40000000000000000000000000000000
χ518-8088-8-8-10013-38-800-1-1-1-1111133-3-333-3-30000000000-113-30000000000000000000000000
χ528-8088-8-8-10013-3-8800-1-1-1-1111133-3-333-3-300000000001-1-330000000000000000000000000
χ538-8088-8-8-1001-338-800-1-1-1-11111-3-333-3-3330000000000-11-330000000000000000000000000
χ548-8088-8-8-1001-33-8800-1-1-1-11111-3-333-3-33300000000001-13-30000000000000000000000000
χ558-80-424-2800-800008-8-4-42244-2-2000000000000-424-20000000000000000000000000000000
χ568-80-424-2800-80000-88-4-42244-2-20000000000004-2-420000000000000000000000000000000
χ571616164-84-8-24-8-2-2-200004-5114-5114-54-51111000000000000000000000000000000000000000
χ581616164-84-8-24-8-2-2-20000-5411-5411-54-541111000000000000000000000000000000000000000
χ59161616-84-84-2-84-2-2-20000114-5114-511114-54-5000000000000000000000000000000000000000
χ60161616-84-84-2-84-2-2-2000011-5411-541111-54-54000000000000000000000000000000000000000
χ611616-164-84-8-2-48-22200004-5114-511-45-45-1-1-1-1000000000000000000000000000000000000000
χ621616-164-84-8-2-48-2220000-5411-54115-45-4-1-1-1-1000000000000000000000000000000000000000
χ631616-16-84-84-28-4-2220000114-5114-5-1-1-1-1-45-45000000000000000000000000000000000000000
χ641616-16-84-84-28-4-222000011-5411-54-1-1-1-15-45-4000000000000000000000000000000000000000
χ6516-1604-8-48-20026-600004-511-45-1-16-3-63-3-333000000000000000000000000000000000000000
χ6616-1604-8-48-20026-60000-54115-4-1-1-363-6-3-333000000000000000000000000000000000000000
χ6716-1604-8-48-2002-6600004-511-45-1-1-636-333-3-3000000000000000000000000000000000000000
χ6816-1604-8-48-2002-660000-54115-4-1-13-6-3633-3-3000000000000000000000000000000000000000
χ6916-160-848-4-20026-60000114-5-1-1-45-3-3336-3-63000000000000000000000000000000000000000
χ7016-160-848-4-20026-6000011-54-1-15-4-3-333-363-6000000000000000000000000000000000000000
χ7116-160-848-4-2002-660000114-5-1-1-4533-3-3-636-3000000000000000000000000000000000000000
χ7216-160-848-4-2002-66000011-54-1-15-433-3-33-6-36000000000000000000000000000000000000000

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