Finite Group Databasebeta

← Group #11865568

Character table — Group #11865568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222334666666121212122244444424666612121212888822226646666661212121222444444246666121212128888
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
χ5111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ1122-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i222-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i2
χ1222-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i222-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i2
χ1322-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i222-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i2
χ1422-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i222-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i2
χ152-22-22202-2-2-22-20000002i−2i200-20000002i−2i0000002-22-22202-2-2-22-20000002i−2i200-20000002i−2i000000
χ162-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i0000002-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i000000
χ172-22-22202-2-2-22-200002-200-2002002-200000000002-22-22202-2-2-22-200002-200-2002002-20000000000
χ182-22-22202-2-2-22-20000-2200-200200-2200000000002-22-22202-2-2-22-20000-2200-200200-220000000000
χ1944441-241-21-2-2111-2-22222000000-1-100-1-100000044441-241-21-2-2111-2-22222000000-1-100-1-1000000
χ2044441-241-21-2-2111-2-2-2-2-2-200000011001100000044441-241-21-2-2111-2-2-2-2-2-2000000110011000000
χ2144441-2-41-21-2-21-1-12222-2-2000000-1-1001100000044441-2-41-21-2-21-1-12222-2-2000000-1-10011000000
χ2244441-2-41-21-2-21-1-122-2-2220000001100-1-100000044441-2-41-21-2-21-1-122-2-2220000001100-1-1000000
χ234444-214-21-211-2-2-211000000002200-1-100-1-100004444-214-21-211-2-2-211000000002200-1-100-1-10000
χ244444-214-21-211-2-2-21100000000-2-20011001100004444-214-21-211-2-2-21100000000-2-2001100110000
χ254444-21-4-21-211-222-1-1000000002-200-1-1001100004444-21-4-21-211-222-1-1000000002-200-1-100110000
χ264444-21-4-21-211-222-1-100000000-22001100-1-100004444-21-4-21-211-222-1-100000000-22001100-1-10000
χ274-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii0000004-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii000000
χ284-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i0000004-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i000000
χ294-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i0000004-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i000000
χ304-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii0000004-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii000000
χ314-4-44440-44-4-4-44000000000000000000000000004-4-44440-44-4-4-4400000000000000000000000000
χ324-4-44-210212-1-1-2003i−3i000000000000−i3i3003−300004-4-44-210212-1-1-2003i−3i000000000000−i3i3003−30000
χ334-4-44-210212-1-1-2003i−3i000000000000i3−i300−3300004-4-44-210212-1-1-2003i−3i000000000000i3−i300−330000
χ344-4-44-210212-1-1-200−3i3i000000000000−i3i300−3300004-4-44-210212-1-1-200−3i3i000000000000−i3i300−330000
χ354-4-44-210212-1-1-200−3i3i000000000000i3−i3003−300004-4-44-210212-1-1-200−3i3i000000000000i3−i3003−30000
χ3688-8-82-40-242-44-20000000000000000000000000088-8-82-40-242-44-200000000000000000000000000
χ3788-8-8-4204-2-42-240000000000000000000000000088-8-8-4204-2-42-2400000000000000000000000000
χ388-88-8-420-4-24-224000000000000000000000000008-88-8-420-4-24-22400000000000000000000000000
χ398-8-882-40-2-4-2442000000000000000000000000008-8-882-40-2-4-244200000000000000000000000000
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
χ44111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-1-11-1-1-1-11111-1-111
χ45111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-111-11-1-1-11111-1-111-1-1
χ46111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-1111-1-1-1-11111-1-1
χ47111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-11-11111-1-1-1-1-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ49222222-2222222-2-2-2-20000-222-200000000000000-2-2-2-2-2-22-2-2-2-2-2-2222200002-2-2200000000000000
χ5022-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i2-2-222-2-2022-2-222000000000−2i2i00000000000−22i2−i2
χ5122-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i2-2-222-2-2022-2-222000000000−2i2i000000000002−2−i2i2
χ5222-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i2-2-222-2-2022-2-2220000000002i−2i00000000000−22−i2i2
χ5322-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i2-2-222-2-2022-2-2220000000002i−2i000000000002−2i2−i2
χ542-22-22202-2-2-22-20000002i−2i200-20000002i−2i000000-22-22-2-20-2222-22000000−2i2i-2002000000−2i2i000000
χ552-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i000000-22-22-2-20-2222-220000002i−2i-20020000002i−2i000000
χ562-22-22202-2-2-22-200002-200-2002002-20000000000-22-22-2-20-2222-220000-2200200-200-220000000000
χ572-22-22202-2-2-22-20000-2200-200200-220000000000-22-22-2-20-2222-2200002-200200-2002-20000000000
χ5844441-241-21-2-2111-2-22222000000-1-100-1-1000000-4-4-4-4-12-4-12-122-1-1-122-2-2-2-2000000110011000000
χ5944441-241-21-2-2111-2-2-2-2-2-2000000110011000000-4-4-4-4-12-4-12-122-1-1-1222222000000-1-100-1-1000000
χ6044441-2-41-21-2-21-1-12222-2-2000000-1-10011000000-4-4-4-4-124-12-122-111-2-2-2-2220000001100-1-1000000
χ6144441-2-41-21-2-21-1-122-2-2220000001100-1-1000000-4-4-4-4-124-12-122-111-2-222-2-2000000-1-10011000000
χ624444-214-21-211-2-2-211000000002200-1-100-1-10000-4-4-4-42-1-42-12-1-1222-1-100000000-2-2001100110000
χ634444-214-21-211-2-2-21100000000-2-2001100110000-4-4-4-42-1-42-12-1-1222-1-1000000002200-1-100-1-10000
χ644444-21-4-21-211-222-1-1000000002-200-1-100110000-4-4-4-42-142-12-1-12-2-21100000000-22001100-1-10000
χ654444-21-4-21-211-222-1-100000000-22001100-1-10000-4-4-4-42-142-12-1-12-2-211000000002-200-1-100110000
χ664-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii000000-44-44-120-1-21-221−3i3i00-22−2i2i0000001-100i−i000000
χ674-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i000000-44-44-120-1-21-221−3i3i002-22i−2i000000-1100−ii000000
χ684-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i000000-44-44-120-1-21-2213i−3i00-222i−2i0000001-100−ii000000
χ694-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii000000-44-44-120-1-21-2213i−3i002-2−2i2i000000-1100i−i000000
χ704-4-44440-44-4-4-4400000000000000000000000000-444-4-4-404-4444-400000000000000000000000000
χ714-4-44-210212-1-1-2003i−3i000000000000−i3i3003−30000-444-42-10-2-1-211200−3i3i000000000000i3−i300−330000
χ724-4-44-210212-1-1-2003i−3i000000000000i3−i300−330000-444-42-10-2-1-211200−3i3i000000000000−i3i3003−30000
χ734-4-44-210212-1-1-200−3i3i000000000000−i3i300−330000-444-42-10-2-1-2112003i−3i000000000000i3−i3003−30000
χ744-4-44-210212-1-1-200−3i3i000000000000i3−i3003−30000-444-42-10-2-1-2112003i−3i000000000000−i3i300−330000
χ7588-8-82-40-242-44-200000000000000000000000000-8-888-2402-4-24-4200000000000000000000000000
χ7688-8-8-4204-2-42-2400000000000000000000000000-8-8884-20-424-22-400000000000000000000000000
χ778-88-8-420-4-24-22400000000000000000000000000-88-884-2042-42-2-400000000000000000000000000
χ788-8-882-40-2-4-244200000000000000000000000000-888-8-240242-4-4-200000000000000000000000000

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