Finite Group Databasebeta

← Group #10594422

Character table — Group #10594422

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order122233446666664444344666121212121212121244444412121212121212121212121224446612121212121212122244121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-11111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ41111111111111111111-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111-111-1-1-111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-1-111111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1
χ9111111-1-1111111111111-1111-1-1-1-111-1-111-1-1-1-11111-1111-1-1-1-11-11-111-1-1-1-1-1-11111-1-11-1-11
χ10111111-1-1111111111111-1111-1-1-1-111-1-1-1-1-1-1111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-1
χ11111111-1-111111111111-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-111-11-11-1-1-1-1-1-1111111-1-1-111-1
χ12111111-1-111111111111-11111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111-1-11
χ13111111-1-1111111-1-1-1-111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-1111-11-1
χ14111111-1-1111111-1-1-1-111-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-11-11-1-1111111-1-111-1-1-11-11
χ15111111-1-1111111-1-1-1-11-11111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-111-1-111-11-11
χ16111111-1-1111111-1-1-1-11-11111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-11-1111111-1-1-1-111-1-11-11-1
χ1722222-122-12-12-122222-122-1-1-1-1-1-1-1-1-122002200-1-1-1-122-1-1-1-1-1-12002-1-100-1-1-1-10000000000
χ1822222-122-12-12-122222-1-2-2-1-1-1-1-1111122002200-1-1-1-1-2-211-1-111-200-21100-1-1110000000000
χ1922222-122-12-12-12-2-2-2-2-122-1-1-1-1-1-1-1-1-12200-2-200111122-1-1-1-1-1-1-200-2110011110000000000
χ2022222-122-12-12-12-2-2-2-2-1-2-2-1-1-1-1-111112200-2-2001111-2-211-1-1112002-1-10011-1-10000000000
χ2122222-1-2-2-12-12-122222-12-2-1-1-11111-1-1-2-200-2-200-1-1-1-1-22-1-11111200-2-1-10011110000000000
χ2222222-1-2-2-12-12-122222-1-22-1-1-111-1-111-2-200-2-200-1-1-1-12-21111-1-1-2002110011-1-10000000000
χ2322222-1-2-2-12-12-12-2-2-2-2-12-2-1-1-11111-1-1-2-20022001111-22-1-11111-20021100-1-1-1-10000000000
χ2422222-1-2-2-12-12-12-2-2-2-2-1-22-1-1-111-1-111-2-200220011112-21111-1-1200-2-1-100-1-1110000000000
χ252222-12222-12-12-10000-122-1-1-1222222-1-12200220000-1-1-1-1-1-1-1-1022000-1-10000-1-10000-1-100
χ262222-12222-12-12-10000-122-1-1-1222222-1-1-2-200-2-20000-1-1-1-1-1-1-1-10-2-20001100001100001100
χ272222-12222-12-12-10000-1-2-2-1-1-122-2-2-2-2-1-122002200001111-1-1110-2-2000-1-10000-1-100001100
χ282222-12222-12-12-10000-1-2-2-1-1-122-2-2-2-2-1-1-2-200-2-200001111-1-111022000110000110000-1-100
χ292222-12-2-22-12-12-10000-12-2-1-1-1-2-2-2-222112200-2-200001-1-1-111110-22000110000-1-10000-1100
χ302222-12-2-22-12-12-10000-12-2-1-1-1-2-2-2-22211-2-2002200001-1-1-1111102-2000-1-100001100001-100
χ312222-12-2-22-12-12-10000-1-22-1-1-1-2-222-2-2112200-2-20000-111111-1-102-2000110000-1-100001-100
χ322222-12-2-22-12-12-10000-1-22-1-1-1-2-222-2-211-2-200220000-111111-1-10-22000-1-10000110000-1100
χ3322-2-2222i−2i-2-22-2-2222-2-2200-22-22i−2i00002i−2i002i−2i0022-2-200002i−2i00000000002i−2i000000000000
χ3422-2-2222i−2i-2-22-2-22-2-222200-22-22i−2i00002i−2i00−2i2i00-2-22200002i−2i0000000000−2i2i000000000000
χ3522-2-222−2i2i-2-22-2-2222-2-2200-22-2−2i2i0000−2i2i00−2i2i0022-2-20000−2i2i0000000000−2i2i000000000000
χ3622-2-222−2i2i-2-22-2-22-2-222200-22-2−2i2i0000−2i2i002i−2i00-2-2220000−2i2i00000000002i−2i000000000000
χ3722-2-22-12i−2i1-2-1-21222-2-2-1001-11−ii3−3−i3i32i−2i002i−2i00-1-11100−i3i3−ii3−30000−i3i300−ii3−30000000000
χ3822-2-22-12i−2i1-2-1-21222-2-2-1001-11−ii−33i3−i32i−2i002i−2i00-1-11100i3−i3−ii−330000i3−i300−ii−330000000000
χ3922-2-22-12i−2i1-2-1-212-2-222-1001-11−ii3−3−i3i32i−2i00−2i2i0011-1-100−i3i3−ii3−30000i3−i300i−i−330000000000
χ4022-2-22-12i−2i1-2-1-212-2-222-1001-11−ii−33i3−i32i−2i00−2i2i0011-1-100i3−i3−ii−330000−i3i300i−i3−30000000000
χ4122-2-22-1−2i2i1-2-1-21222-2-2-1001-11i−i3−3i3−i3−2i2i00−2i2i00-1-11100i3−i3i−i3−30000i3−i300i−i3−30000000000
χ4222-2-22-1−2i2i1-2-1-21222-2-2-1001-11i−i−33−i3i3−2i2i00−2i2i00-1-11100−i3i3i−i−330000−i3i300i−i−330000000000
χ4322-2-22-1−2i2i1-2-1-212-2-222-1001-11i−i3−3i3−i3−2i2i002i−2i0011-1-100i3−i3i−i3−30000−i3i300−ii−330000000000
χ4422-2-22-1−2i2i1-2-1-212-2-222-1001-11i−i−33−i3i3−2i2i002i−2i0011-1-100−i3i3i−i−330000i3−i300−ii3−30000000000
χ452-22-222002-2-22-2-22i−2i2i−2i200-2-22000000002i−2i00002i−2i2i−2i000000000000000000002i−2i2-2000000
χ462-22-222002-2-22-2-22i−2i2i−2i200-2-2200000000−2i2i00002i−2i2i−2i00000000000000000000−2i2i-22000000
χ472-22-222002-2-22-2-2−2i2i−2i2i200-2-22000000002i−2i0000−2i2i−2i2i000000000000000000002i−2i-22000000
χ482-22-222002-2-22-2-2−2i2i−2i2i200-2-2200000000−2i2i0000−2i2i−2i2i00000000000000000000−2i2i2-2000000
χ492-2-222200-22-2-22-22i−2i−2i2i2002-2-20000000000002-22i−2i−2i2i000000000000002-2000000002i−2i0000
χ502-2-222200-22-2-22-22i−2i−2i2i2002-2-2000000000000-222i−2i−2i2i00000000000000-2200000000−2i2i0000
χ512-2-222200-22-2-22-2−2i2i2i−2i2002-2-20000000000002-2−2i2i2i−2i000000000000002-200000000−2i2i0000
χ522-2-222200-22-2-22-2−2i2i2i−2i2002-2-2000000000000-22−2i2i2i−2i00000000000000-22000000002i−2i0000
χ534444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-20000000000-2-21111110000000000000000000000
χ544444-2-244-2-2-2-2-2-200001-4-4111-2-22222-2-2000000000022-1-111-1-10000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2000014-41112222-2-22200000000002-211-1-1-1-10000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-200001-4411122-2-222220000000000-22-1-1-1-1110000000000000000000000
χ5744-4-4-244i−4i-4242-4-20000-2002-224i−4i0000−2i2i00000000000000−2i2i000000000000000000000000
χ5844-4-4-24−4i4i-4242-4-20000-2002-22−4i4i00002i−2i000000000000002i−2i000000000000000000000000
χ5944-4-4-2-24i−4i22-222-20000100-11-1−2i2i23−23−2i32i3−2i2i000000000000i3−i3i−i−330000000000000000000000
χ6044-4-4-2-24i−4i22-222-20000100-11-1−2i2i−23232i3−2i3−2i2i000000000000−i3i3i−i3−30000000000000000000000
χ6144-4-4-2-2−4i4i22-222-20000100-11-12i−2i23−232i3−2i32i−2i000000000000−i3i3−ii−330000000000000000000000
χ6244-4-4-2-2−4i4i22-222-20000100-11-12i−2i−2323−2i32i32i−2i000000000000i3−i3−ii3−30000000000000000000000
χ634-44-44-200-2-4242-44i−4i4i−4i-20022-200000000000000−2i2i−2i2i000000000000000000000000000000
χ644-44-44-200-2-4242-4−4i4i−4i4i-20022-2000000000000002i−2i2i−2i000000000000000000000000000000
χ654-44-4-240042-4-2-420000-20022-2000000004i−4i0000000000000000000000000000−2i2i00000000
χ664-44-4-240042-4-2-420000-20022-200000000−4i4i00000000000000000000000000002i−2i00000000
χ674-4-444-200242-4-2-44i−4i−4i4i-200-22200000000000000−2i2i2i−2i000000000000000000000000000000
χ684-4-444-200242-4-2-4−4i4i4i−4i-200-222000000000000002i−2i−2i2i000000000000000000000000000000
χ694-4-44-2400-4-2-42420000-200-2220000000000004-4000000000000000000-2200000000000000
χ704-4-44-2400-4-2-42420000-200-222000000000000-440000000000000000002-200000000000000
χ718-88-8-4-400-444-4440000200-2-22000000000000000000000000000000000000000000000000
χ728-8-88-4-4004-444-4400002002-2-2000000000000000000000000000000000000000000000000

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