Finite Group Databasebeta

← Group #11884483

Character table — Group #11884483

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212444481212121212122424242424242424222444488121212121212121212122266681212122424242424886624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11111-11-1-111-11111-11-1-1-1-1-1-111-1-11-1-11
χ41111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-111-1-111-11-1-111-1-1111-1-111-1-111-1-111-1-11-1
χ5111111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-111111-111-1-11-11-1-1-1111-1-1-1-111-1-1-111-1
χ6111111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111-111-1-1111-1-1-1-1-1-1-1-111-1-11111-11
χ7111111111111111111111111-1-11-1-1-1-111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-11-111
χ91111111111111111111111-1-111111111111111111-1-1-111111111-1-1111111-11-1-1-1-1111-1-111-1-1-1-11-1-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-11-1-11111-1-1-111-1-111-1-1-1-111111-1
χ121111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11-1-1111-1-1-1-11-111111111-1-1-11-11
χ131111111111111111111111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-11-111-1-1-1-1-111111111-1-1-1-111-1-1-11
χ141111111111111111111111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-11-1111-1-1-1111111-1-11-11-1
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-1111-1-111111-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111-1-1-1-1-1111
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200200-200222200000000-2000-2000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-200200-2-22200000000-200020000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200200-20022-2-2000000002000-20000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200-200200-2-2-2-20000000020002000000-22000000
χ2122222-122-1-122-12-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-122200000000-1-1-12-1-1-1-120-1-1-12000-1-10000000-100
χ2222222-122-1-122-12-1-1-1-12-1-12222-2-2-2-2-1-1-1-111-2-2111122200000000-1-11211-1-1-20-1-1-1-2000110000000100
χ2322222-122-1-122-12-1-1-1-12-1-1222-22-22211-1-111-2-211112-2-200000000-1-1-1-2-1-11120-111-2000110000000-100
χ2422222-122-1-122-12-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-12-2-200000000-1-11-21111-20-1112000-1-10000000100
χ2522222-122-1-122-12-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-1-2-2-20000000011-12-1-1-1-1-20111-2000110000000100
χ2622222-122-1-122-12-1-1-1-12-1-12-2-22-2-2-2-2-1-1-1-111-2-21111-2-2-200000000111211-1-1201112000-1-10000000-100
χ2722222-122-1-122-12-1-1-1-12-1-12-2-2-22-22211-1-111-2-21111-2220000000011-1-2-1-111-201-1-12000-1-10000000100
χ2822222-122-1-122-12-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-1-22200000000111-21111201-1-1-2000110000000-100
χ292222-122222-1-12-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000222222-1-1002-1-1-1-1-1020000-1-1-100-1-10000-1000
χ302222-122222-1-12-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000-2-2-2-2-2-211002-1-1-1-1-10-20000111001100001000
χ312222-122222-1-12-1-1-1-1-1-122-1002-2-21122-1-1-2-21111110002-2-22-2-2-1-100-2-111-1-1020000-11100110000-1000
χ322222-122222-1-12-1-1-1-1-1-122-1002-2-21122-1-1-2-2111111000-222-2221100-2-111-1-10-200001-1-100-1-100001000
χ332222-122222-1-12-1-1-1-1-1-122-100-22-2-1-1-2-2-1-1-2-21111110002222-2-2-1-10021-1-1110-20000-1-1-1001100001000
χ342222-122222-1-12-1-1-1-1-1-122-100-22-2-1-1-2-2-1-1-2-2111111000-2-2-2-222110021-1-11102000011100-1-10000-1000
χ352222-122222-1-12-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-10002-2-2222-1-100-2111110-20000-11100-1-100001000
χ362222-122222-1-12-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1000-222-2-2-21100-2111110200001-1-100110000-1000
χ372-22-222-22-2-2-2-2222-2-22-22-22000000000-220000000002-202-200000000000000002-2002-20000002-20000
χ382-22-222-22-2-2-2-2222-2-22-22-22000000000-220000000002-20-2200000000000000002-200-22000000-220000
χ392-22-222-22-2-2-2-2222-2-22-22-22000000000-22000000000-2202-20000000000000000-22002-2000000-220000
χ402-22-222-22-2-2-2-2222-2-22-22-22000000000-22000000000-220-220000000000000000-2200-220000002-20000
χ4144444-2-4-4-2-244-24-2-2-2-2-422-44400000002200000000-40000000000-2-2000000002000000000000000000
χ4244444-2-4-4-2-244-24-2-2-2-2-422-4-4-400000002200000000400000000002200000000-2000000000000000000
χ434444-24-4-444-2-24-2-2-2-2-22-4-420000000002200000000000400-400-2-200000000000000200000000000000
χ444444-24-4-444-2-24-2-2-2-2-22-4-420000000002200000000000-4004002200000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444004-44-4-4-444-4-400004i−4i00000000000000000000000000004i−4i000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-40000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000
χ5144-4-44-200-224-42-4-2-22200004i−4i000000000i6−i600i6i6−i6−i600000000000−2i2i0000000000000006−60000000000
χ5244-4-44-200-224-42-4-2-22200004i−4i000000000−i6i600−i6−i6i6i600000000000−2i2i000000000000000−660000000000
χ5344-4-44-200-224-42-4-2-2220000−4i4i000000000i6−i600i6i6−i6−i6000000000002i−2i000000000000000−660000000000
χ5444-4-44-200-224-42-4-2-2220000−4i4i000000000−i6i600−i6−i6i6i6000000000002i−2i0000000000000006−60000000000
χ554-44-4444-4-4-4-4-4444-4-444-44-40000000004-4000000000000000000000000000000000000000000000000
χ564-44-44-24-422-4-4-24-222-242-2-40000000−2i32i3-220000000000000000000000000−2i32i3000000000000000000000
χ574-44-44-24-422-4-4-24-222-242-2-400000002i3−2i3-2200000000000000000000000002i3−2i3000000000000000000000
χ584-44-44-2-4422-4-4-24-222-2-4-2240000000002-20000000004-40000000000000000000-220000000000000000
χ594-44-44-2-4422-4-4-24-222-2-4-2240000000002-2000000000-4400000000000000000002-20000000000000000
χ604-44-4-244-4-4-4224-2-222-2-2-4420000023−2300-220000000000000000000000023−2300000000000000000000000
χ614-44-4-244-4-4-4224-2-222-2-2-44200000−232300-2200000000000000000000000−232300000000000000000000000
χ624-44-4-24-44-4-4224-2-222-224-4-20000000002-20000000000004-400000000000000000000-22000000000000
χ634-44-4-24-44-4-4224-2-222-224-4-20000000002-2000000000000-44000000000000000000002-2000000000000
χ644-44-4-2-24-42222-2-21-1-11-22-220000023−23−2i32i31-100003i−3i3i−3i000000000000000−33i3−i3000000000000000000000
χ654-44-4-2-24-42222-2-21-1-11-22-220000023−232i3−2i31-10000−3i3i−3i3i000000000000000−33−i3i3000000000000000000000
χ664-44-4-2-24-42222-2-21-1-11-22-2200000−2323−2i32i31-10000−3i3i−3i3i0000000000000003−3i3−i3000000000000000000000
χ674-44-4-2-24-42222-2-21-1-11-22-2200000−23232i3−2i31-100003i−3i3i−3i0000000000000003−3−i3i3000000000000000000000
χ684-4-444400-44-44-4-44-44-400000000000000000000000000000022−2200000000000000000000022−2200000000
χ694-4-444400-44-44-4-44-44-4000000000000000000000000000000−2222000000000000000000000−222200000000
χ704-4-44-2400-442-2-42-22-22000000000000000006−66−6−66000000022−2223−230000000000000000000−2200000000
χ714-4-44-2400-442-2-42-22-22000000000000000006−66−6−660000000−2222−232300000000000000000002−200000000
χ724-4-44-2400-442-2-42-22-2200000000000000000−66−666−6000000022−22−23230000000000000000000−2200000000
χ734-4-44-2400-442-2-42-22-2200000000000000000−66−666−60000000−222223−2300000000000000000002−200000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-48008-8-44-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-20000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-44-444422-2-2000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-4-4-884444-4-42-2-224-44-4000000000-22000000000000000000000000000000000000000000000000
χ798-8-888-4004-4-884-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004-44-4442-22-20000000000000000026−26−666−60000000000000000000000000000000000000000
χ818-8-88-4-4004-44-4442-22-200000000000000000−26266−6−660000000000000000000000000000000000000000

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