Finite Group Databasebeta

← Group #11868375

Character table — Group #11868375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order12223346666661212121222444444446612121212121288882222664666666121212122244444444661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1111111-1-1-1-111-1-11-1-111-111-1-1-1-11111-1-1111111-1111111-1-1-1-111-1-11-1-111-111-1-1-1-11111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-11-1-11111-1-111-1-1111111-1111111-1-1-1-1-1-1111-1-11-11-1-11111-1-111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ1122-2-2220-2-22-2-220000000002i−2i000000000002−2−i2i222-2-2220-2-22-2-220000000002i−2i000000000002−2−i2i2
χ1222-2-2220-2-22-2-220000000002i−2i00000000000−22i2−i222-2-2220-2-22-2-220000000002i−2i00000000000−22i2−i2
χ1322-2-2220-2-22-2-22000000000−2i2i000000000002−2i2−i222-2-2220-2-22-2-22000000000−2i2i000000000002−2i2−i2
χ1422-2-2220-2-22-2-22000000000−2i2i00000000000−22−i2i222-2-2220-2-22-2-22000000000−2i2i00000000000−22−i2i2
χ152-22-222022-2-2-2-20000002i−2i-200200002i−2i000000002-22-222022-2-2-2-20000002i−2i-200200002i−2i00000000
χ162-22-222022-2-2-2-2000000−2i2i-20020000−2i2i000000002-22-222022-2-2-2-2000000−2i2i-20020000−2i2i00000000
χ172-22-222022-2-2-2-200002-200200-2002-200000000002-22-222022-2-2-2-200002-200200-2002-20000000000
χ182-22-222022-2-2-2-20000-2200200-200-2200000000002-22-222022-2-2-2-20000-2200200-200-220000000000
χ1944441-241-2-21-21-2-21100000000220000-1-1-1-1000044441-241-2-21-21-2-21100000000220000-1-1-1-10000
χ2044441-241-2-21-21-2-21100000000-2-200001111000044441-241-2-21-21-2-21100000000-2-2000011110000
χ2144441-2-41-2-21-2122-1-1000000002-2000011-1-1000044441-2-41-2-21-2122-1-1000000002-2000011-1-10000
χ2244441-2-41-2-21-2122-1-100000000-220000-1-111000044441-2-41-2-21-2122-1-100000000-220000-1-1110000
χ234444-214-211-21-211-2-22222000000-1-1-1-1000000004444-214-211-21-211-2-22222000000-1-1-1-100000000
χ244444-214-211-21-211-2-2-2-2-2-20000001111000000004444-214-211-21-211-2-2-2-2-2-2000000111100000000
χ254444-21-4-211-21-2-1-12222-2-2000000-1-111000000004444-21-4-211-21-2-1-12222-2-2000000-1-11100000000
χ264444-21-4-211-21-2-1-122-2-22200000011-1-1000000004444-21-4-211-21-2-1-122-2-22200000011-1-100000000
χ274-44-4-210-21-12-123i−3i002-22i−2i000000-11−ii000000004-44-4-210-21-12-123i−3i002-22i−2i000000-11−ii00000000
χ284-44-4-210-21-12-123i−3i00-22−2i2i0000001-1i−i000000004-44-4-210-21-12-123i−3i00-22−2i2i0000001-1i−i00000000
χ294-44-4-210-21-12-12−3i3i002-2−2i2i000000-11i−i000000004-44-4-210-21-12-12−3i3i002-2−2i2i000000-11i−i00000000
χ304-44-4-210-21-12-12−3i3i00-222i−2i0000001-1−ii000000004-44-4-210-21-12-12−3i3i00-222i−2i0000001-1−ii00000000
χ314-4-441-20-1221-2-1003i−3i00000000000000−i3i33−300004-4-441-20-1221-2-1003i−3i00000000000000−i3i33−30000
χ324-4-441-20-1221-2-1003i−3i00000000000000i3−i3−3300004-4-441-20-1221-2-1003i−3i00000000000000i3−i3−330000
χ334-4-441-20-1221-2-100−3i3i00000000000000−i3i3−3300004-4-441-20-1221-2-100−3i3i00000000000000−i3i3−330000
χ344-4-441-20-1221-2-100−3i3i00000000000000i3−i33−300004-4-441-20-1221-2-100−3i3i00000000000000i3−i33−30000
χ354-4-44440-4-4-444-4000000000000000000000000004-4-44440-4-4-444-400000000000000000000000000
χ3688-8-82-40-24-4-2420000000000000000000000000088-8-82-40-24-4-24200000000000000000000000000
χ3788-8-8-4204-224-2-40000000000000000000000000088-8-8-4204-224-2-400000000000000000000000000
χ388-88-82-402-44-24-2000000000000000000000000008-88-82-402-44-24-200000000000000000000000000
χ398-8-88-4204-2-2-424000000000000000000000000008-8-88-4204-2-2-42400000000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ4211111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ44111111-1111111-1-1-1-111-1-11-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-1-11-1-11111-1-1-1-111
χ45111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-11-1-1-111-1-11111-1-1
χ46111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-1111-1-111-1-111-1-1
χ47111111-1111111-1-1-1-1-1-1111-1-11-11-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-11-111-1-1-1-111-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ49222222-2222222-2-2-2-20000-222-200000000000000-2-2-2-2-2-22-2-2-2-2-2-2222200002-2-2200000000000000
χ5022-2-2220-2-22-2-220000000002i−2i000000000002−2−i2i2-2-222-2-2022-222-2000000000−2i2i00000000000−22i2−i2
χ5122-2-2220-2-22-2-220000000002i−2i00000000000−22i2−i2-2-222-2-2022-222-2000000000−2i2i000000000002−2−i2i2
χ5222-2-2220-2-22-2-22000000000−2i2i000000000002−2i2−i2-2-222-2-2022-222-20000000002i−2i00000000000−22−i2i2
χ5322-2-2220-2-22-2-22000000000−2i2i00000000000−22−i2i2-2-222-2-2022-222-20000000002i−2i000000000002−2i2−i2
χ542-22-222022-2-2-2-20000002i−2i-200200002i−2i00000000-22-22-2-20-2-22222000000−2i2i200-20000−2i2i00000000
χ552-22-222022-2-2-2-2000000−2i2i-20020000−2i2i00000000-22-22-2-20-2-222220000002i−2i200-200002i−2i00000000
χ562-22-222022-2-2-2-200002-200200-2002-20000000000-22-22-2-20-2-222220000-2200-200200-220000000000
χ572-22-222022-2-2-2-20000-2200200-200-220000000000-22-22-2-20-2-2222200002-200-2002002-20000000000
χ5844441-241-2-21-21-2-21100000000220000-1-1-1-10000-4-4-4-4-12-4-122-12-122-1-100000000-2-2000011110000
χ5944441-241-2-21-21-2-21100000000-2-2000011110000-4-4-4-4-12-4-122-12-122-1-100000000220000-1-1-1-10000
χ6044441-2-41-2-21-2122-1-1000000002-2000011-1-10000-4-4-4-4-124-122-12-1-2-21100000000-220000-1-1110000
χ6144441-2-41-2-21-2122-1-100000000-220000-1-1110000-4-4-4-4-124-122-12-1-2-211000000002-2000011-1-10000
χ624444-214-211-21-211-2-22222000000-1-1-1-100000000-4-4-4-42-1-42-1-12-12-1-122-2-2-2-2000000111100000000
χ634444-214-211-21-211-2-2-2-2-2-2000000111100000000-4-4-4-42-1-42-1-12-12-1-1222222000000-1-1-1-100000000
χ644444-21-4-211-21-2-1-12222-2-2000000-1-11100000000-4-4-4-42-142-1-12-1211-2-2-2-22200000011-1-100000000
χ654444-21-4-211-21-2-1-122-2-22200000011-1-100000000-4-4-4-42-142-1-12-1211-2-222-2-2000000-1-11100000000
χ664-44-4-210-21-12-123i−3i002-22i−2i000000-11−ii00000000-44-442-102-11-21-2−3i3i00-22−2i2i0000001-1i−i00000000
χ674-44-4-210-21-12-123i−3i00-22−2i2i0000001-1i−i00000000-44-442-102-11-21-2−3i3i002-22i−2i000000-11−ii00000000
χ684-44-4-210-21-12-12−3i3i002-2−2i2i000000-11i−i00000000-44-442-102-11-21-23i−3i00-222i−2i0000001-1−ii00000000
χ694-44-4-210-21-12-12−3i3i00-222i−2i0000001-1−ii00000000-44-442-102-11-21-23i−3i002-2−2i2i000000-11i−i00000000
χ704-4-441-20-1221-2-1003i−3i00000000000000−i3i33−30000-444-4-1201-2-2-12100−3i3i00000000000000i3−i3−330000
χ714-4-441-20-1221-2-1003i−3i00000000000000i3−i3−330000-444-4-1201-2-2-12100−3i3i00000000000000−i3i33−30000
χ724-4-441-20-1221-2-100−3i3i00000000000000−i3i3−330000-444-4-1201-2-2-121003i−3i00000000000000i3−i33−30000
χ734-4-441-20-1221-2-100−3i3i00000000000000i3−i33−30000-444-4-1201-2-2-121003i−3i00000000000000−i3i3−330000
χ744-4-44440-4-4-444-400000000000000000000000000-444-4-4-40444-4-4400000000000000000000000000
χ7588-8-82-40-24-4-24200000000000000000000000000-8-888-2402-442-4-200000000000000000000000000
χ7688-8-8-4204-224-2-400000000000000000000000000-8-8884-20-42-2-42400000000000000000000000000
χ778-88-82-402-44-24-200000000000000000000000000-88-88-240-24-42-4200000000000000000000000000
χ788-8-88-4204-2-2-42400000000000000000000000000-888-84-20-4224-2-400000000000000000000000000

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