Finite Group Databasebeta

← Group #11899573

Character table — Group #11899573

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222444444448888181824242424242424242424242436363636361122244444444888818182424242424242424242424243636363636
order1224433666612126121212882224666666121281616161622244666666121261212128822246666661212816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-1111-1-1-1-11111111111111111111-1-11111-1-1-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ511-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-111-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-1
χ611-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-11111-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-111
χ711-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-11111-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-111
χ811-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-111-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222-2-2222222-2-22-2-2-20000000000000002−22−2222-2-2222222-2-22-2-2-20000000000000002−22−2
χ11222-2-2222222-2-22-2-2-2000000000000000−22−22222-2-2222222-2-22-2-2-2000000000000000−22−22
χ1222-22-222-2-22222-2-22-20000000000000002−2−2222-22-222-2-22222-2-22-20000000000000002−2−22
χ1322-22-222-2-22222-2-22-2000000000000000−222−222-22-222-2-22222-2-22-2000000000000000−222−2
χ1422-2-2222-2-222-2-2-22-22-2-20000000000002000022-2-2222-2-222-2-2-22-22-2-200000000000020000
χ15444441-2-2-2-21111-2-21000022-1-10000-1-100000444441-2-2-2-21111-2-21000022-1-10000-1-100000
χ16444441-2-2-2-21111-2-210000-2-21100001100000444441-2-2-2-21111-2-210000-2-21100001100000
χ1744444-21111-2-2-2-211-200220000-1-1-1-1000000044444-21111-2-2-2-211-200220000-1-1-1-10000000
χ1844444-21111-2-2-2-211-200-2-200001111000000044444-21111-2-2-2-211-200-2-2000011110000000
χ19444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000
χ20444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000
χ21444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000
χ22444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000
χ2344-44-41-222-2111-12-2-1000000−i3i30000i3−i30000044-44-41-222-2111-12-2-1000000−i3i30000i3−i300000
χ2444-44-41-222-2111-12-2-1000000i3−i30000−i3i30000044-44-41-222-2111-12-2-1000000i3−i30000−i3i300000
χ2544-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i3000000044-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i30000000
χ2644-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i3000000044-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i30000000
χ2744-4-441-222-21-1-1-1-22100002-2-1-10000110000044-4-441-222-21-1-1-1-22100002-2-1-100001100000
χ2844-4-441-222-21-1-1-1-2210000-22110000-1-10000044-4-441-222-21-1-1-1-2210000-22110000-1-100000
χ2944-4-44-21-1-11-22221-1-2002-20000-1-111000000044-4-44-21-1-11-22221-1-2002-20000-1-1110000000
χ3044-4-44-21-1-11-22221-1-200-22000011-1-1000000044-4-44-21-1-11-22221-1-200-22000011-1-10000000
χ314-40004400-4-400000022−22000000000000000004-40004400-4-400000022−2200000000000000000
χ324-40004400-4-4000000−2222000000000000000004-40004400-4-4000000−222200000000000000000
χ338-80002-4004-26i−6i000000000000000000000008-80002-4004-26i−6i00000000000000000000000
χ348-80002-4004-2−6i6i000000000000000000000008-80002-4004-2−6i6i00000000000000000000000
χ358-8000-426-6-2400000000000000000000000008-8000-426-6-240000000000000000000000000
χ368-8000-42-66-2400000000000000000000000008-8000-42-66-240000000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111
χ391111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ4111-1-1111-1-111-1-1-11-11111-11-11111-1-1-1-1-111-1-1-1-111-1-1-111-1-1111-11-1-1-1-11-11-1-1-1-111111-1-111
χ4211-1-1111-1-111-1-1-11-11111-1-11-1-111-1-111-1-1-111-1-111-1-1-111-1-1111-11-1-1-1-111-111-1-111-1-1111-1-1
χ4311-1-1111-1-111-1-1-11-1111-111-111-1-111-1-1-1-1-111-1-111-1-1-111-1-1111-11-1-1-11-1-11-1-111-1-111111-1-1
χ4411-1-1111-1-111-1-1-11-1111-11-11-1-1-1-11111-111-1-1-1-111-1-1-111-1-1111-11-1-1-11-11-11111-1-1-1-11-1-111
χ4522222222222222222-2-2000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000000020000
χ46222-2-2222222-2-22-2-2-20000000000000002−22−2-2-2-222-2-2-2-2-2-222-2222000000000000000−22−22
χ47222-2-2222222-2-22-2-2-2000000000000000−22−22-2-2-222-2-2-2-2-2-222-22220000000000000002−22−2
χ4822-22-222-2-22222-2-22-20000000000000002−2−22-2-22-22-2-222-2-2-2-222-22000000000000000−222−2
χ4922-22-222-2-22222-2-22-2000000000000000−222−2-2-22-22-2-222-2-2-2-222-220000000000000002−2−22
χ5022-2-2222-2-222-2-2-22-22-2-200000000000020000-2-222-2-2-222-2-2222-22-222000000000000-20000
χ51444441-2-2-2-21111-2-21000022-1-10000-1-100000-4-4-4-4-4-12222-1-1-1-122-10000-2-21100001100000
χ52444441-2-2-2-21111-2-210000-2-21100001100000-4-4-4-4-4-12222-1-1-1-122-1000022-1-10000-1-100000
χ5344444-21111-2-2-2-211-200220000-1-1-1-10000000-4-4-4-4-42-1-1-1-12222-1-1200-2-2000011110000000
χ5444444-21111-2-2-2-211-200-2-2000011110000000-4-4-4-4-42-1-1-1-12222-1-1200220000-1-1-1-10000000
χ55444-4-41-2-2-2-21-1-1122-1000000−i3i30000−i3i300000-4-4-444-12222-111-1-2-21000000i3−i30000i3−i300000
χ56444-4-41-2-2-2-21-1-1122-1000000i3−i30000i3−i300000-4-4-444-12222-111-1-2-21000000−i3i30000−i3i300000
χ57444-4-4-21111-222-2-1-1200000000−i3i3−i3i30000000-4-4-4442-1-1-1-12-2-2211-200000000i3−i3i3−i30000000
χ58444-4-4-21111-222-2-1-1200000000i3−i3i3−i30000000-4-4-4442-1-1-1-12-2-2211-200000000−i3i3−i3i30000000
χ5944-44-41-222-2111-12-2-1000000−i3i30000i3−i300000-4-44-44-12-2-22-1-1-11-221000000i3−i30000−i3i300000
χ6044-44-41-222-2111-12-2-1000000i3−i30000−i3i300000-4-44-44-12-2-22-1-1-11-221000000−i3i30000i3−i300000
χ6144-44-4-21-1-11-2-2-22-11200000000−i3i3i3−i30000000-4-44-442-111-1222-21-1-200000000i3−i3−i3i30000000
χ6244-44-4-21-1-11-2-2-22-11200000000i3−i3−i3i30000000-4-44-442-111-1222-21-1-200000000−i3i3i3−i30000000
χ6344-4-441-222-21-1-1-1-22100002-2-1-100001100000-4-444-4-12-2-22-11112-2-10000-22110000-1-100000
χ6444-4-441-222-21-1-1-1-2210000-22110000-1-100000-4-444-4-12-2-22-11112-2-100002-2-1-100001100000
χ6544-4-44-21-1-11-22221-1-2002-20000-1-1110000000-4-444-42-111-12-2-2-2-11200-22000011-1-10000000
χ6644-4-44-21-1-11-22221-1-200-22000011-1-10000000-4-444-42-111-12-2-2-2-112002-20000-1-1110000000
χ674-40004400-4-400000022−2200000000000000000-44000-4-40044000000−222200000000000000000
χ684-40004400-4-4000000−222200000000000000000-44000-4-4004400000022−2200000000000000000
χ698-80002-4004-26i−6i00000000000000000000000-88000-2400-42−6i6i00000000000000000000000
χ708-80002-4004-2−6i6i00000000000000000000000-88000-2400-426i−6i00000000000000000000000
χ718-8000-426-6-240000000000000000000000000-880004-2-662-40000000000000000000000000
χ728-8000-42-66-240000000000000000000000000-880004-26-62-40000000000000000000000000

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