Finite Group Databasebeta

← Group #11863588

Character table — Group #11863588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222334666666121212122222224444666612121212888822226646666661212121222222244446666121212128888
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
χ5111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ1122-2-222022-2-2-2-2000000002-2000000000000−i2i2−i2i222-2-222022-2-2-2-2000000002-2000000000000−i2i2−i2i2
χ1222-2-222022-2-2-2-2000000002-2000000000000i2−i2i2−i222-2-222022-2-2-2-2000000002-2000000000000i2−i2i2−i2
χ1322-2-222022-2-2-2-200000000-22000000000000−i2i2i2−i222-2-222022-2-2-2-200000000-22000000000000−i2i2i2−i2
χ1422-2-222022-2-2-2-200000000-22000000000000i2−i2−i2i222-2-222022-2-2-2-200000000-22000000000000i2−i2−i2i2
χ152-2-22220-2-2-22-220000002-2002-200002-2000000002-2-22220-2-2-22-220000002-2002-200002-200000000
χ162-2-22220-2-2-22-22000000-22002-20000-22000000002-2-22220-2-2-22-22000000-22002-20000-2200000000
χ172-2-22220-2-2-22-2200002-20000-22002-200000000002-2-22220-2-2-22-2200002-20000-22002-20000000000
χ182-2-22220-2-2-22-220000-220000-2200-2200000000002-2-22220-2-2-22-220000-220000-2200-220000000000
χ1944441-241-2-2-211-2-21100000000220000-1-1-1-1000044441-241-2-2-211-2-21100000000220000-1-1-1-10000
χ2044441-241-2-2-211-2-21100000000-2-200001111000044441-241-2-2-211-2-21100000000-2-2000011110000
χ2144441-2-41-2-2-21122-1-1000000002-20000-1-111000044441-2-41-2-2-21122-1-1000000002-20000-1-1110000
χ2244441-2-41-2-2-21122-1-100000000-22000011-1-1000044441-2-41-2-2-21122-1-100000000-22000011-1-10000
χ234444-214-2111-2-211-2-22222000000-1-1-1-1000000004444-214-2111-2-211-2-22222000000-1-1-1-100000000
χ244444-214-2111-2-211-2-2-2-2-2-20000001111000000004444-214-2111-2-211-2-2-2-2-2-2000000111100000000
χ254444-21-4-2111-2-2-1-12222-2-2000000-1-111000000004444-21-4-2111-2-2-1-12222-2-2000000-1-11100000000
χ264444-21-4-2111-2-2-1-122-2-22200000011-1-1000000004444-21-4-2111-2-2-1-122-2-22200000011-1-100000000
χ274-44-41-20-12-221-1003i−3i00000000000000−i3i33−300004-44-41-20-12-221-1003i−3i00000000000000−i3i33−30000
χ284-44-41-20-12-221-1003i−3i00000000000000i3−i3−3300004-44-41-20-12-221-1003i−3i00000000000000i3−i3−330000
χ294-44-41-20-12-221-100−3i3i00000000000000−i3i3−3300004-44-41-20-12-221-100−3i3i00000000000000−i3i3−330000
χ304-44-41-20-12-221-100−3i3i00000000000000i3−i33−300004-44-41-20-12-221-100−3i3i00000000000000i3−i33−30000
χ314-44-4440-4-44-44-4000000000000000000000000004-44-4440-4-44-44-400000000000000000000000000
χ324-4-44-2102-1-112-23-3002-22-2000000-11-11000000004-4-44-2102-1-112-23-3002-22-2000000-11-1100000000
χ334-4-44-2102-1-112-23-300-22-220000001-11-1000000004-4-44-2102-1-112-23-300-22-220000001-11-100000000
χ344-4-44-2102-1-112-2-33002-2-22000000-111-1000000004-4-44-2102-1-112-2-33002-2-22000000-111-100000000
χ354-4-44-2102-1-112-2-3300-222-20000001-1-11000000004-4-44-2102-1-112-2-3300-222-20000001-1-1100000000
χ3688-8-82-402-444-2-20000000000000000000000000088-8-82-402-444-2-200000000000000000000000000
χ3788-8-8-420-42-2-2440000000000000000000000000088-8-8-420-42-2-24400000000000000000000000000
χ388-88-8-4204-22-2-44000000000000000000000000008-88-8-4204-22-2-4400000000000000000000000000
χ398-8-882-40-244-4-22000000000000000000000000008-8-882-40-244-4-2200000000000000000000000000
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
χ44111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-11-1-111-1-111-1-111
χ45111111-1111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-1-11111-1-111-1-1
χ46111111-1111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-11111-1-1
χ47111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11-111-1-111-1-1-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ49222222-2222222-2-2-2-2000022-2-200000000000000-2-2-2-2-2-22-2-2-2-2-2-222220000-2-22200000000000000
χ5022-2-222022-2-2-2-2000000002-2000000000000−i2i2−i2i2-2-222-2-20-2-2222200000000-22000000000000i2−i2i2−i2
χ5122-2-222022-2-2-2-2000000002-2000000000000i2−i2i2−i2-2-222-2-20-2-2222200000000-22000000000000−i2i2−i2i2
χ5222-2-222022-2-2-2-200000000-22000000000000−i2i2i2−i2-2-222-2-20-2-22222000000002-2000000000000i2−i2−i2i2
χ5322-2-222022-2-2-2-200000000-22000000000000i2−i2−i2i2-2-222-2-20-2-22222000000002-2000000000000−i2i2i2−i2
χ542-2-22220-2-2-22-220000002-2002-200002-200000000-222-2-2-20222-22-2000000-2200-220000-2200000000
χ552-2-22220-2-2-22-22000000-22002-20000-2200000000-222-2-2-20222-22-20000002-200-2200002-200000000
χ562-2-22220-2-2-22-2200002-20000-22002-20000000000-222-2-2-20222-22-20000-2200002-200-220000000000
χ572-2-22220-2-2-22-220000-220000-2200-220000000000-222-2-2-20222-22-200002-200002-2002-20000000000
χ5844441-241-2-2-211-2-21100000000220000-1-1-1-10000-4-4-4-4-12-4-1222-1-122-1-100000000-2-2000011110000
χ5944441-241-2-2-211-2-21100000000-2-2000011110000-4-4-4-4-12-4-1222-1-122-1-100000000220000-1-1-1-10000
χ6044441-2-41-2-2-21122-1-1000000002-20000-1-1110000-4-4-4-4-124-1222-1-1-2-21100000000-22000011-1-10000
χ6144441-2-41-2-2-21122-1-100000000-22000011-1-10000-4-4-4-4-124-1222-1-1-2-211000000002-20000-1-1110000
χ624444-214-2111-2-211-2-22222000000-1-1-1-100000000-4-4-4-42-1-42-1-1-122-1-122-2-2-2-2000000111100000000
χ634444-214-2111-2-211-2-2-2-2-2-2000000111100000000-4-4-4-42-1-42-1-1-122-1-1222222000000-1-1-1-100000000
χ644444-21-4-2111-2-2-1-12222-2-2000000-1-11100000000-4-4-4-42-142-1-1-12211-2-2-2-22200000011-1-100000000
χ654444-21-4-2111-2-2-1-122-2-22200000011-1-100000000-4-4-4-42-142-1-1-12211-2-222-2-2000000-1-11100000000
χ664-44-41-20-12-221-1003i−3i00000000000000−i3i33−30000-44-44-1201-22-2-1100−3i3i00000000000000i3−i3−330000
χ674-44-41-20-12-221-1003i−3i00000000000000i3−i3−330000-44-44-1201-22-2-1100−3i3i00000000000000−i3i33−30000
χ684-44-41-20-12-221-100−3i3i00000000000000−i3i3−330000-44-44-1201-22-2-11003i−3i00000000000000i3−i33−30000
χ694-44-41-20-12-221-100−3i3i00000000000000i3−i33−30000-44-44-1201-22-2-11003i−3i00000000000000−i3i3−330000
χ704-44-4440-4-44-44-400000000000000000000000000-44-44-4-4044-44-4400000000000000000000000000
χ714-4-44-2102-1-112-23-3002-22-2000000-11-1100000000-444-42-10-211-1-22-3300-22-220000001-11-100000000
χ724-4-44-2102-1-112-23-300-22-220000001-11-100000000-444-42-10-211-1-22-33002-22-2000000-11-1100000000
χ734-4-44-2102-1-112-2-33002-2-22000000-111-100000000-444-42-10-211-1-223-300-222-20000001-1-1100000000
χ744-4-44-2102-1-112-2-3300-222-20000001-1-1100000000-444-42-10-211-1-223-3002-2-22000000-111-100000000
χ7588-8-82-402-444-2-200000000000000000000000000-8-888-240-24-4-42200000000000000000000000000
χ7688-8-8-420-42-2-24400000000000000000000000000-8-8884-204-222-4-400000000000000000000000000
χ778-88-8-4204-22-2-4400000000000000000000000000-88-884-20-42-224-400000000000000000000000000
χ788-8-882-40-244-4-2200000000000000000000000000-888-8-2402-4-442-200000000000000000000000000

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