Finite Group Databasebeta

← Group #11868529

Character table — Group #11868529

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212444444444412121212121212128888222266466666612121212444444444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111-1-1-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1
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
χ5111111-1111111-1-1-1-111-1-11-1-111-1-1-1-1-1111111-1-1111111-1111111-1-1-1-111-1-11-1-111-1-1-1-1-1111111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-11-1-11111-1-1-1-111111111-1111111-1-1-1-111-1-11-1-11-11-1-11111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-111111111-1111111-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-1111111-1111111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ1122-2-2220-2-2-2-2220000000002i−2i000000000002−2−i2i222-2-2220-2-2-2-2220000000002i−2i000000000002−2−i2i2
χ1222-2-2220-2-2-2-2220000000002i−2i00000000000−22i2−i222-2-2220-2-2-2-2220000000002i−2i00000000000−22i2−i2
χ1322-2-2220-2-2-2-222000000000−2i2i000000000002−2i2−i222-2-2220-2-2-2-222000000000−2i2i000000000002−2i2−i2
χ1422-2-2220-2-2-2-222000000000−2i2i00000000000−22−i2i222-2-2220-2-2-2-222000000000−2i2i00000000000−22−i2i2
χ152-22-22202-22-2-2-20000002-2200-2002-200000000002-22-22202-22-2-2-20000002-2200-2002-20000000000
χ162-22-22202-22-2-2-2000000-22200-200-2200000000002-22-22202-22-2-2-2000000-22200-200-220000000000
χ172-22-22202-22-2-2-200002i−2i00-20020000002i−2i0000002-22-22202-22-2-2-200002i−2i00-20020000002i−2i000000
χ182-22-22202-22-2-2-20000−2i2i00-2002000000−2i2i0000002-22-22202-22-2-2-20000−2i2i00-2002000000−2i2i000000
χ1944441-241-2-211-211-2-2000000002200-1-100-1-1000044441-241-2-211-211-2-2000000002200-1-100-1-10000
χ2044441-241-2-211-211-2-200000000-2-200110011000044441-241-2-211-211-2-200000000-2-2001100110000
χ2144441-2-41-2-211-2-1-122000000002-2001100-1-1000044441-2-41-2-211-2-1-122000000002-2001100-1-10000
χ2244441-2-41-2-211-2-1-12200000000-2200-1-10011000044441-2-41-2-211-2-1-12200000000-2200-1-100110000
χ234444-214-211-2-21-2-2112222000000-1-100-1-10000004444-214-211-2-21-2-2112222000000-1-100-1-1000000
χ244444-214-211-2-21-2-211-2-2-2-20000001100110000004444-214-211-2-21-2-211-2-2-2-2000000110011000000
χ254444-21-4-211-2-2122-1-122-2-20000001100-1-10000004444-21-4-211-2-2122-1-122-2-20000001100-1-1000000
χ264444-21-4-211-2-2122-1-1-2-222000000-1-100110000004444-21-4-211-2-2122-1-1-2-222000000-1-10011000000
χ274-44-4-210-2-1122-1003i−3i2i−2i2-2000000-1100−ii0000004-44-4-210-2-1122-1003i−3i2i−2i2-2000000-1100−ii000000
χ284-44-4-210-2-1122-1003i−3i−2i2i-220000001-100i−i0000004-44-4-210-2-1122-1003i−3i−2i2i-220000001-100i−i000000
χ294-44-4-210-2-1122-100−3i3i2i−2i-220000001-100−ii0000004-44-4-210-2-1122-100−3i3i2i−2i-220000001-100−ii000000
χ304-44-4-210-2-1122-100−3i3i−2i2i2-2000000-1100i−i0000004-44-4-210-2-1122-100−3i3i−2i2i2-2000000-1100i−i000000
χ314-4-441-20-1-221-123i−3i00000000000000−i3i3003−300004-4-441-20-1-221-123i−3i00000000000000−i3i3003−30000
χ324-4-441-20-1-221-123i−3i00000000000000i3−i300−3300004-4-441-20-1-221-123i−3i00000000000000i3−i300−330000
χ334-4-441-20-1-221-12−3i3i00000000000000−i3i300−3300004-4-441-20-1-221-12−3i3i00000000000000−i3i300−330000
χ344-4-441-20-1-221-12−3i3i00000000000000i3−i3003−300004-4-441-20-1-221-12−3i3i00000000000000i3−i3003−30000
χ354-4-44440-44-44-4-4000000000000000000000000004-4-44440-44-44-4-400000000000000000000000000
χ3688-8-82-40-244-22-40000000000000000000000000088-8-82-40-244-22-400000000000000000000000000
χ3788-8-8-4204-2-24-420000000000000000000000000088-8-8-4204-2-24-4200000000000000000000000000
χ388-88-82-4024-4-2-24000000000000000000000000008-88-82-4024-4-2-2400000000000000000000000000
χ398-8-88-42042-2-44-2000000000000000000000000008-8-88-42042-2-44-200000000000000000000000000
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
χ411111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111
χ4211111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
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
χ44111111-1111111-1-1-1-111-1-11-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-1-111111-1-1-1-1-1-111
χ45111111-1111111-1-1-1-111-1-11-1-11-11-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-11-111-1-1-1-11111-1-1
χ46111111-1111111-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-111-1-1
χ47111111-1111111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-11-1-1-1-1-11111-1-111
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
χ5022-2-2220-2-2-2-2220000000002i−2i000000000002−2−i2i2-2-222-2-202222-2-2000000000−2i2i00000000000−22i2−i2
χ5122-2-2220-2-2-2-2220000000002i−2i00000000000−22i2−i2-2-222-2-202222-2-2000000000−2i2i000000000002−2−i2i2
χ5222-2-2220-2-2-2-222000000000−2i2i000000000002−2i2−i2-2-222-2-202222-2-20000000002i−2i00000000000−22−i2i2
χ5322-2-2220-2-2-2-222000000000−2i2i00000000000−22−i2i2-2-222-2-202222-2-20000000002i−2i000000000002−2i2−i2
χ542-22-22202-22-2-2-20000002-2200-2002-20000000000-22-22-2-20-22-2222000000-22-200200-220000000000
χ552-22-22202-22-2-2-2000000-22200-200-220000000000-22-22-2-20-22-22220000002-2-2002002-20000000000
χ562-22-22202-22-2-2-200002i−2i00-20020000002i−2i000000-22-22-2-20-22-22220000−2i2i00200-2000000−2i2i000000
χ572-22-22202-22-2-2-20000−2i2i00-2002000000−2i2i000000-22-22-2-20-22-222200002i−2i00200-20000002i−2i000000
χ5844441-241-2-211-211-2-2000000002200-1-100-1-10000-4-4-4-4-12-4-122-1-12-1-12200000000-2-2001100110000
χ5944441-241-2-211-211-2-200000000-2-2001100110000-4-4-4-4-12-4-122-1-12-1-122000000002200-1-100-1-10000
χ6044441-2-41-2-211-2-1-122000000002-2001100-1-10000-4-4-4-4-124-122-1-1211-2-200000000-2200-1-100110000
χ6144441-2-41-2-211-2-1-12200000000-2200-1-100110000-4-4-4-4-124-122-1-1211-2-2000000002-2001100-1-10000
χ624444-214-211-2-21-2-2112222000000-1-100-1-1000000-4-4-4-42-1-42-1-122-122-1-1-2-2-2-2000000110011000000
χ634444-214-211-2-21-2-211-2-2-2-2000000110011000000-4-4-4-42-1-42-1-122-122-1-12222000000-1-100-1-1000000
χ644444-21-4-211-2-2122-1-122-2-20000001100-1-1000000-4-4-4-42-142-1-122-1-2-211-2-222000000-1-10011000000
χ654444-21-4-211-2-2122-1-1-2-222000000-1-10011000000-4-4-4-42-142-1-122-1-2-21122-2-20000001100-1-1000000
χ664-44-4-210-2-1122-1003i−3i2i−2i2-2000000-1100−ii000000-44-442-1021-1-2-2100−3i3i−2i2i-220000001-100i−i000000
χ674-44-4-210-2-1122-1003i−3i−2i2i-220000001-100i−i000000-44-442-1021-1-2-2100−3i3i2i−2i2-2000000-1100−ii000000
χ684-44-4-210-2-1122-100−3i3i2i−2i-220000001-100−ii000000-44-442-1021-1-2-21003i−3i−2i2i2-2000000-1100i−i000000
χ694-44-4-210-2-1122-100−3i3i−2i2i2-2000000-1100i−i000000-44-442-1021-1-2-21003i−3i2i−2i-220000001-100−ii000000
χ704-4-441-20-1-221-123i−3i00000000000000−i3i3003−30000-444-4-12012-2-11-2−3i3i00000000000000i3−i300−330000
χ714-4-441-20-1-221-123i−3i00000000000000i3−i300−330000-444-4-12012-2-11-2−3i3i00000000000000−i3i3003−30000
χ724-4-441-20-1-221-12−3i3i00000000000000−i3i300−330000-444-4-12012-2-11-23i−3i00000000000000i3−i3003−30000
χ734-4-441-20-1-221-12−3i3i00000000000000i3−i3003−30000-444-4-12012-2-11-23i−3i00000000000000−i3i300−330000
χ744-4-44440-44-44-4-400000000000000000000000000-444-4-4-404-44-44400000000000000000000000000
χ7588-8-82-40-244-22-400000000000000000000000000-8-888-2402-4-42-2400000000000000000000000000
χ7688-8-8-4204-2-24-4200000000000000000000000000-8-8884-20-422-44-200000000000000000000000000
χ778-88-82-4024-4-2-2400000000000000000000000000-88-88-240-2-4422-400000000000000000000000000
χ788-8-88-42042-2-44-200000000000000000000000000-888-84-20-4-224-4200000000000000000000000000

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