Finite Group Databasebeta

← Group #11922128

Character table — Group #11922128

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order12222236666644444436666666412123666666644448812121212121212121224242424412124488
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
χ51111-1-11111-1-111-1-111111-1-1-1-11-1111111-1-1-1-1111-11-1-11111-1-1-1-111-1-1-11-11-11-1
χ61111-1-11111-1-111-1-111111-1-1-1-11-1111111-1-1-1-111-11-11-11111-1-1-1-1-1-111-1-11-11-11
χ71111-1-11111-1-1-1-11111111-1-1-1-11-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-11-11
χ81111-1-11111-1-1-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1111-111-11-1
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
χ172-22-2002-2-22002i−2i002-222-20000-202-222-2-200002i−2i000002i2i−2i−2i000000000000000
χ182-22-2002-2-22002i−2i002-2-1-11−i3−i3i3i3102-2-1-111−i3−i3i3i32i−2i00000−i−iii33−3−300000000000
χ192-22-2002-2-22002i−2i002-2-1-11i3i3−i3−i3102-2-1-111i3i3−i3−i32i−2i00000−i−iii−3−33300000000000
χ202-22-2002-2-2200−2i2i002-222-20000-202-222-2-20000−2i2i00000−2i−2i2i2i000000000000000
χ212-22-2002-2-2200−2i2i002-2-1-11−i3−i3i3i3102-2-1-111−i3−i3i3i3−2i2i00000ii−i−i−3−33300000000000
χ222-22-2002-2-2200−2i2i002-2-1-11i3i3−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
χ273333-3-33333-3-333-3-3-1-1000000001-1-100000000-1-11-1-11100000000-1-11111-11-1-11
χ283333-3-33333-3-333-3-3-1-1000000001-1-100000000-1-1-111-110000000011-1-11-11-111-1
χ293333-3-33333-3-3-3-333-1-1000000001-1-100000000111-1-11100000000-1-111-11-1-111-1
χ303333-3-33333-3-3-3-333-1-1000000001-1-10000000011-111-110000000011-1-1-1-111-1-11
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
χ3344-4-44-444-4-44-40000001-111-11-1-10001-11-11-11-100000003−33−33−33−300000000000
χ3444-4-44-444-4-44-40000001-111-11-1-10001-11-11-11-10000000−33−33−33−3300000000000
χ3544-4-44-444-4-44-4000000-22-2-22-222000-22-22-22-2200000000000000000000000000
χ3644-4-44-4-2-222-22000000-22-2-22-2220001-11-11-11-1000000000000000i6−i6i6−i60000000
χ3744-4-44-4-2-222-22000000-22-2-22-2220001-11-11-11-1000000000000000−i6i6−i6i60000000
χ3844-4-4-4444-4-4-440000001-11-11-11-10001-11-1-11-1100000003−33−3−33−3300000000000
χ3944-4-4-4444-4-4-440000001-11-11-11-10001-11-1-11-110000000−33−333−33−300000000000
χ4044-4-4-4444-4-4-44000000-22-22-22-22000-22-222-22-200000000000000000000000000
χ4144-4-4-44-2-2222-2000000-22-22-22-220001-11-1-11-11000000000000000i6−i6−i6i60000000
χ4244-4-4-44-2-2222-2000000-22-22-22-220001-11-1-11-11000000000000000−i6i6i6−i60000000
χ434-44-400-222-20000004-444-40000-40-22-2-222000000000000000000000000000000
χ444-44-400-222-20000004-4-2-22−2i3−2i32i32i320-2211-1-1i3i3−i3−i300000000000000000000000000
χ454-44-400-222-20000004-4-2-222i32i3−2i3−2i320-2211-1-1−i3−i3i3i300000000000000000000000000
χ464-4-44004-44-400004-4001-1-1−i3i3i3−i310001-1-11−i3i3i3−i30000000−i3i3i3−i31-1-1100000000000
χ474-4-44004-44-400004-4001-1-1i3−i3−i3i310001-1-11i3−i3−i3i30000000i3−i3−i3i31-1-1100000000000
χ484-4-44004-44-400004-400-2220000-2000-222-2000000000000000-222-200000000000
χ494-4-44004-44-40000-44001-1-1−i3i3i3−i310001-1-11−i3i3i3−i30000000i3−i3−i3i3-111-100000000000
χ504-4-44004-44-40000-44001-1-1i3−i3−i3i310001-1-11i3−i3−i3i30000000−i3i3i3−i3-111-100000000000
χ514-4-44004-44-40000-4400-2220000-2000-222-20000000000000002-2-2200000000000
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
χ566-66-6006-6-66006i−6i00-22000000000-2200000000−2i2i000000000000000000000000
χ576-66-6006-6-6600−6i6i00-22000000000-22000000002i−2i000000000000000000000000
χ5888-8-88-8-4-444-440000002-222-22-2-2000-11-11-11-1100000000000000000000000000
χ5988-8-8-88-4-4444-40000002-22-22-22-2000-11-111-11-100000000000000000000000000
χ608-8-8800-44-44000000002-2-2−2i32i32i3−2i32000-111-1i3−i3−i3i300000000000000000000000000
χ618-8-8800-44-44000000002-2-22i3−2i3−2i32i32000-111-1−i3i3i3−i300000000000000000000000000
χ628-8-8800-44-4400000000-4440000-40002-2-22000000000000000000000000000000
χ6312-1212-1200-666-6000000-440000000002-20000000000000000000000000000000000

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