Finite Group Databasebeta

← Group #11869620

Character table — Group #11869620

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212444422444412121212121212128888222266466666612121212444422444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ5111111-1111111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-111111111-1111111-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-111111111-1111111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-1111111-1111111-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ1122-2-222022-2-2-2-2000000002-20000000000002−22−222-2-222022-2-2-2-2000000002-20000000000002−22−2
χ1222-2-222022-2-2-2-2000000002-2000000000000−22−2222-2-222022-2-2-2-2000000002-2000000000000−22−22
χ1322-2-222022-2-2-2-200000000-220000000000002−2−2222-2-222022-2-2-2-200000000-220000000000002−2−22
χ1422-2-222022-2-2-2-200000000-22000000000000−222−222-2-222022-2-2-2-200000000-22000000000000−222−2
χ152-22-2220-2-22-22-20000002i−2i002-2000000002i−2i00002-22-2220-2-22-22-20000002i−2i002-2000000002i−2i0000
χ162-22-2220-2-22-22-2000000−2i2i002-200000000−2i2i00002-22-2220-2-22-22-2000000−2i2i002-200000000−2i2i0000
χ172-22-2220-2-22-22-200002i−2i0000-220000002i−2i0000002-22-2220-2-22-22-200002i−2i0000-220000002i−2i000000
χ182-22-2220-2-22-22-20000−2i2i0000-22000000−2i2i0000002-22-2220-2-22-22-20000−2i2i0000-22000000−2i2i000000
χ1944441-241-21-2-2111-2-222220000000000-1-1-1-1000044441-241-21-2-2111-2-222220000000000-1-1-1-10000
χ2044441-241-21-2-2111-2-2-2-2-2-200000000001111000044441-241-21-2-2111-2-2-2-2-2-2000000000011110000
χ2144441-2-41-21-2-21-1-12222-2-20000000000-1-111000044441-2-41-21-2-21-1-12222-2-20000000000-1-1110000
χ2244441-2-41-21-2-21-1-122-2-222000000000011-1-1000044441-2-41-21-2-21-1-122-2-222000000000011-1-10000
χ234444-214-21-211-2-2-2110000000022-1-1-1-1000000004444-214-21-211-2-2-2110000000022-1-1-1-100000000
χ244444-214-21-211-2-2-21100000000-2-21111000000004444-214-21-211-2-2-21100000000-2-2111100000000
χ254444-21-4-21-211-222-1-1000000002-211-1-1000000004444-21-4-21-211-222-1-1000000002-211-1-100000000
χ264444-21-4-21-211-222-1-100000000-22-1-111000000004444-21-4-21-211-222-1-100000000-22-1-11100000000
χ274-44-41-20-1212-2-13-3002i−2i2i−2i0000000000−ii−ii00004-44-41-20-1212-2-13-3002i−2i2i−2i0000000000−ii−ii0000
χ284-44-41-20-1212-2-13-300−2i2i−2i2i0000000000i−ii−i00004-44-41-20-1212-2-13-300−2i2i−2i2i0000000000i−ii−i0000
χ294-44-41-20-1212-2-1-33002i−2i−2i2i0000000000−iii−i00004-44-41-20-1212-2-1-33002i−2i−2i2i0000000000−iii−i0000
χ304-44-41-20-1212-2-1-3300−2i2i2i−2i0000000000i−i−ii00004-44-41-20-1212-2-1-3300−2i2i2i−2i0000000000i−i−ii0000
χ314-4-44440-4-4-44-44000000000000000000000000004-4-44440-4-4-44-4400000000000000000000000000
χ324-4-44-2102-121-1-2003i−3i0000000000−i3i33−3000000004-4-44-2102-121-1-2003i−3i0000000000−i3i33−300000000
χ334-4-44-2102-121-1-2003i−3i0000000000i3−i3−33000000004-4-44-2102-121-1-2003i−3i0000000000i3−i3−3300000000
χ344-4-44-2102-121-1-200−3i3i0000000000−i3i3−33000000004-4-44-2102-121-1-200−3i3i0000000000−i3i3−3300000000
χ354-4-44-2102-121-1-200−3i3i0000000000i3−i33−3000000004-4-44-2102-121-1-200−3i3i0000000000i3−i33−300000000
χ3688-8-82-402-4-244-20000000000000000000000000088-8-82-402-4-244-200000000000000000000000000
χ3788-8-8-420-424-2-240000000000000000000000000088-8-8-420-424-2-2400000000000000000000000000
χ388-88-8-4204-2-4-224000000000000000000000000008-88-8-4204-2-4-22400000000000000000000000000
χ398-8-882-40-24-2-442000000000000000000000000008-8-882-40-24-2-44200000000000000000000000000
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
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ4211111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
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
χ44111111-1111111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-111-1-111
χ45111111-1111111-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-1-111-1-11111-1-1
χ46111111-1111111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1111-1-111-1-111-1-1
χ47111111-1111111-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11-1-1-11111-1-1-1-111
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
χ5022-2-222022-2-2-2-2000000002-20000000000002−22−2-2-222-2-20-2-2222200000000-22000000000000−22−22
χ5122-2-222022-2-2-2-2000000002-2000000000000−22−22-2-222-2-20-2-2222200000000-220000000000002−22−2
χ5222-2-222022-2-2-2-200000000-220000000000002−2−22-2-222-2-20-2-22222000000002-2000000000000−222−2
χ5322-2-222022-2-2-2-200000000-22000000000000−222−2-2-222-2-20-2-22222000000002-20000000000002−2−22
χ542-22-2220-2-22-22-20000002i−2i002-2000000002i−2i0000-22-22-2-2022-22-22000000−2i2i00-2200000000−2i2i0000
χ552-22-2220-2-22-22-2000000−2i2i002-200000000−2i2i0000-22-22-2-2022-22-220000002i−2i00-22000000002i−2i0000
χ562-22-2220-2-22-22-200002i−2i0000-220000002i−2i000000-22-22-2-2022-22-220000−2i2i00002-2000000−2i2i000000
χ572-22-2220-2-22-22-20000−2i2i0000-22000000−2i2i000000-22-22-2-2022-22-2200002i−2i00002-20000002i−2i000000
χ5844441-241-21-2-2111-2-222220000000000-1-1-1-10000-4-4-4-4-12-4-12-122-1-1-122-2-2-2-2000000000011110000
χ5944441-241-21-2-2111-2-2-2-2-2-2000000000011110000-4-4-4-4-12-4-12-122-1-1-12222220000000000-1-1-1-10000
χ6044441-2-41-21-2-21-1-12222-2-20000000000-1-1110000-4-4-4-4-124-12-122-111-2-2-2-222000000000011-1-10000
χ6144441-2-41-21-2-21-1-122-2-222000000000011-1-10000-4-4-4-4-124-12-122-111-2-222-2-20000000000-1-1110000
χ624444-214-21-211-2-2-2110000000022-1-1-1-100000000-4-4-4-42-1-42-12-1-1222-1-100000000-2-2111100000000
χ634444-214-21-211-2-2-21100000000-2-2111100000000-4-4-4-42-1-42-12-1-1222-1-10000000022-1-1-1-100000000
χ644444-21-4-21-211-222-1-1000000002-211-1-100000000-4-4-4-42-142-12-1-12-2-21100000000-22-1-11100000000
χ654444-21-4-21-211-222-1-100000000-22-1-11100000000-4-4-4-42-142-12-1-12-2-211000000002-211-1-100000000
χ664-44-41-20-1212-2-13-3002i−2i2i−2i0000000000−ii−ii0000-44-44-1201-2-1-221-3300−2i2i−2i2i0000000000i−ii−i0000
χ674-44-41-20-1212-2-13-300−2i2i−2i2i0000000000i−ii−i0000-44-44-1201-2-1-221-33002i−2i2i−2i0000000000−ii−ii0000
χ684-44-41-20-1212-2-1-33002i−2i−2i2i0000000000−iii−i0000-44-44-1201-2-1-2213-300−2i2i2i−2i0000000000i−i−ii0000
χ694-44-41-20-1212-2-1-3300−2i2i2i−2i0000000000i−i−ii0000-44-44-1201-2-1-2213-3002i−2i−2i2i0000000000−iii−i0000
χ704-4-44440-4-4-44-4400000000000000000000000000-444-4-4-40444-44-400000000000000000000000000
χ714-4-44-2102-121-1-2003i−3i0000000000−i3i33−300000000-444-42-10-21-2-11200−3i3i0000000000i3−i3−3300000000
χ724-4-44-2102-121-1-2003i−3i0000000000i3−i3−3300000000-444-42-10-21-2-11200−3i3i0000000000−i3i33−300000000
χ734-4-44-2102-121-1-200−3i3i0000000000−i3i3−3300000000-444-42-10-21-2-112003i−3i0000000000i3−i33−300000000
χ744-4-44-2102-121-1-200−3i3i0000000000i3−i33−300000000-444-42-10-21-2-112003i−3i0000000000−i3i3−3300000000
χ7588-8-82-402-4-244-200000000000000000000000000-8-888-240-242-4-4200000000000000000000000000
χ7688-8-8-420-424-2-2400000000000000000000000000-8-8884-204-2-422-400000000000000000000000000
χ778-88-8-4204-2-4-22400000000000000000000000000-88-884-20-4242-2-400000000000000000000000000
χ788-8-882-40-24-2-44200000000000000000000000000-888-8-2402-424-4-200000000000000000000000000

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