Finite Group Databasebeta

← Group #11922183

Character table — Group #11922183

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order1222223666664444443666666641212366666664424881212121212121212122424242446122488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111111111111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111-1-111-1-111111-1-1-1-11-1111111-1-1-1-1111-11-1-11111-1-1-1-111-1-1-11-1-111-1
χ61111-1-11111-1-111-1-111111-1-1-1-11-1111111-1-1-1-111-11-11-11111-1-1-1-1-1-111-1-111-1-11
χ71111-1-11111-1-1-1-11111111-1-1-1-11-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-11-1-11
χ81111-1-11111-1-1-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1111-11-111-1
χ9222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12200002-1-1-1-1-1-1-1-100002000000
χ10222222222222-2-2-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200002111111110000-2000000
χ11222222-1-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-1002222-100000000-1-1-1-10-1-10000
χ12222222-1-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-100-2-2-2-2-10000000011110110000
χ132222-2-22222-2-222-2-222-1-1-11111-1-222-1-1-1-11111220000-2-1-1-1-111110000-2000000
χ142222-2-22222-2-2-2-22222-1-1-11111-1-222-1-1-1-11111-2-20000-21111-1-1-1-100002000000
χ152222-2-2-1-1-1-111000022222-2-2-2-22-2-1-1-1-1-1-11111002-22-2100000000-1-1110-110000
χ162222-2-2-1-1-1-111000022222-2-2-2-22-2-1-1-1-1-1-1111100-22-2210000000011-1-101-10000
χ1722-2-2002-22-2002i−2i002-222-20000-202-222-2-200002i−2i000002i2i−2i−2i000000000000000
χ1822-2-2002-22-2002i−2i002-2-1-11−i3−i3i3i3102-2-1-111−i3−i3i3i32i−2i00000−i−iii33−3−300000000000
χ1922-2-2002-22-2002i−2i002-2-1-11i3i3−i3−i3102-2-1-111i3i3−i3−i32i−2i00000−i−iii−3−33300000000000
χ2022-2-2002-22-200−2i2i002-222-20000-202-222-2-20000−2i2i00000−2i−2i2i2i000000000000000
χ2122-2-2002-22-200−2i2i002-2-1-11−i3−i3i3i3102-2-1-111−i3−i3i3i3−2i2i00000ii−i−i−3−33300000000000
χ2222-2-2002-22-200−2i2i002-2-1-11i3i3−i3−i3102-2-1-111i3i3−i3−i3−2i2i00000ii−i−i33−3−300000000000
χ233333333333333333-1-100000000-1-1-100000000-1-111-1-1-100000000-1-1-1-1-11111-1-1
χ243333333333333333-1-100000000-1-1-100000000-1-1-1-111-1000000001111-1-1-1-1-111
χ25333333333333-3-3-3-3-1-100000000-1-1-1000000001111-1-1-100000000-1-1-1-1111-1-111
χ26333333333333-3-3-3-3-1-100000000-1-1-10000000011-1-111-10000000011111-1-111-1-1
χ273333-3-33333-3-333-3-3-1-1000000001-1-100000000-1-11-1-11100000000-1-11111-1-11-11
χ283333-3-33333-3-333-3-3-1-1000000001-1-100000000-1-1-111-110000000011-1-11-111-11-1
χ293333-3-33333-3-3-3-333-1-1000000001-1-100000000111-1-11100000000-1-111-11-11-11-1
χ303333-3-33333-3-3-3-333-1-1000000001-1-10000000011-111-110000000011-1-1-1-11-11-11
χ31444444-2-2-2-2-2-2000044-2-2-2-2-2-2-2-24-2-211111111000000-20000000000000000000
χ324444-4-4-2-2-2-222000044-2-2-22222-2-4-2-21111-1-1-1-100000020000000000000000000
χ3344-4-400-22-220000004-444-40000-40-22-2-222000000000000000000000000000000
χ3444-4-400-22-220000004-4-2-22−2i3−2i32i32i320-2211-1-1i3i3−i3−i300000000000000000000000000
χ3544-4-400-22-220000004-4-2-222i32i3−2i3−2i320-2211-1-1−i3−i3i3i300000000000000000000000000
χ364-44-40044-4-400004-4001-1-1−i3i3−i3i310001-11-1−i3i3−i3i30000000−i3i3−i3i31-11-100000000000
χ374-44-40044-4-400004-4001-1-1i3−i3i3−i310001-11-1i3−i3i3−i30000000i3−i3i3−i31-11-100000000000
χ384-44-40044-4-400004-400-2220000-2000-22-22000000000000000-22-2200000000000
χ394-44-40044-4-40000-44001-1-1−i3i3−i3i310001-11-1−i3i3−i3i30000000i3−i3i3−i3-11-1100000000000
χ404-44-40044-4-40000-44001-1-1i3−i3i3−i310001-11-1i3−i3i3−i30000000−i3i3−i3i3-11-1100000000000
χ414-44-40044-4-40000-4400-2220000-2000-22-220000000000000002-22-200000000000
χ424-4-444-44-4-444-40000001-111-1-11-10001-1-111-1-1100000003−3−333−3−3300000000000
χ434-4-444-44-4-444-40000001-111-1-11-10001-1-111-1-110000000−333−3−333−300000000000
χ444-4-444-44-4-444-4000000-22-2-222-22000-222-2-222-200000000000000000000000000
χ454-4-444-4-222-2-22000000-22-2-222-220001-1-111-1-110000000000000006−66−60000000
χ464-4-444-4-222-2-22000000-22-2-222-220001-1-111-1-11000000000000000−66−660000000
χ474-4-44-444-4-44-440000001-11-111-1-10001-1-11-111-100000003−3−33−333−300000000000
χ484-4-44-444-4-44-440000001-11-111-1-10001-1-11-111-10000000−333−33−3−3300000000000
χ494-4-44-444-4-44-44000000-22-22-2-222000-222-22-2-2200000000000000000000000000
χ504-4-44-44-222-22-2000000-22-22-2-2220001-1-11-111-10000000000000006−6−660000000
χ514-4-44-44-222-22-2000000-22-22-2-2220001-1-11-111-1000000000000000−666−60000000
χ52666666-3-3-3-3-3-30000-2-200000000-211000000000022-2-210000000011110-1-10000
χ53666666-3-3-3-3-3-30000-2-200000000-2110000000000-2-222100000000-1-1-1-10110000
χ546666-6-6-3-3-3-3330000-2-20000000021100000000002-2-22-10000000011-1-10-110000
χ556666-6-6-3-3-3-3330000-2-2000000002110000000000-222-2-100000000-1-11101-10000
χ5666-6-6006-66-6006i−6i00-22000000000-2200000000−2i2i000000000000000000000000
χ5766-6-6006-66-600−6i6i00-22000000000-22000000002i−2i000000000000000000000000
χ588-88-800-4-444000000002-2-2−2i32i3−2i32i32000-11-11i3−i3i3−i300000000000000000000000000
χ598-88-800-4-444000000002-2-22i3−2i32i3−2i32000-11-11−i3i3−i3i300000000000000000000000000
χ608-88-800-4-44400000000-4440000-40002-22-2000000000000000000000000000000
χ618-8-888-8-444-4-440000002-222-2-22-2000-111-1-111-100000000000000000000000000
χ628-8-88-88-444-44-40000002-22-222-2-2000-111-11-1-1100000000000000000000000000
χ631212-12-1200-66-66000000-440000000002-20000000000000000000000000000000000

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