Finite Group Databasebeta

← Group #11878595

Character table — Group #11878595

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121212161616161616242424242424242424242424242424242424243636727272
order12223344666666234666121212121212446666121212121212121212224466881212121212121212224466666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111111-11-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-11-1111-1-1-11-1-1-1111111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111-1-11111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ611111111111111111111111111-1-11111-1-11-1-11111111111-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1111-1-1-1-1-1-111-1
χ711111111111111111111111111-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-11111-1-111-1
χ811111111111111111111111111-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-111-1-1-1-111-1-11
χ911111111111111-11-111111-1-1111-1-1-1-1-111-1-1-111-1-11-11-11111111-111-1-1-1-111-1-1-1-1-1-111-11111-1-1-1-11-11
χ1011111111111111-11-111111-1-1111-1-1-1-1-111-1-1-111-1-11-11-111-1-1111-111-1-1-111-111-1-1-1111-1-1-1-1-11111-11-1
χ1111111111111111-11-111111-1-1111-1-1-1-1-111-1-1-111-1-1-11-11-1-111-1-11-111-1-11-1-11-1-1111-1-1-111111-1-111-11-1
χ1211111111111111-11-111111-1-1111-1-1-1-1-111-1-1-111-1-1-11-11-1-1-1-1-1-11-111-1-111-1-1111111-1-11-1-1-1-111-1-11-11
χ1311111111111111-11-111111-1-111-11-1-1-1-1-1-1-11111-1-11-11-1111111-11-1-11111-1-111-111-1-1-1-1-1-111-1-1-1-1-111
χ1411111111111111-11-111111-1-111-11-1-1-1-1-1-1-11111-1-11-11-111-1-111-11-1-1111-1-11-1-1-1111-1-1-111-1-111111-1-1
χ1511111111111111-11-111111-1-111-11-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-11-1-111-111-1111-1-1-1111-1-111-1-1111-1-1
χ1611111111111111-11-111111-1-111-11-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1111111-1-111-1-1-111
χ17222222-2-222222222-2222-2-2-2-2-2-200222200-200-2-2-2-22-2-222200-2-2000000000000-200000200000000000
χ18222222-2-222222222-2222-2-2-2-2-2-200222200-200-2-2-2-2-222-2-2-20022000000000000200000-200000000000
χ19222222-2-2222222-222222-2-222-2-200-2-2-2-200200-2-22222-2-22200-2-2000000000000200000-200000000000
χ20222222-2-2222222-222222-2-222-2-200-2-2-2-200200-2-222-2-222-2-20022000000000000-200000200000000000
χ2122222-1222-12-12-12-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-122-1-1-1-1202000-1-1-10-1-1-100000000000
χ2222222-1222-12-12-12-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001122-1-1-1-1-20-2000111011100000000000
χ2322222-1222-12-12-12-12-1-1-1-1-12222-2-22-1-1-111-111-1-1-1-12222-1-100-1-1-2-21111-20-2000-111011-100000000000
χ2422222-1222-12-12-12-12-1-1-1-1-12222-2-22-1-1-111-111-1-1-1-1-2-2-2-2110011-2-211112020001-1-10-1-1100000000000
χ2522222-1222-12-12-1-2-1-2-1-1-1-1-1-2-2222-2-2111-1-1111-1-1112-22-2-1-100-1-12-2-1-111-2020001110-1-1100000000000
χ2622222-1222-12-12-1-2-1-2-1-1-1-1-1-2-2222-2-2111-1-1111-1-111-22-221100112-2-1-11120-2000-1-1-1011-100000000000
χ2722222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-22-2111111-1-1-1-1112-22-2-1-100-1-1-2211-1-120-20001-1-1011100000000000
χ2822222-1222-12-12-1-2-1-2-1-1-1-1-1-2-222-22-2111111-1-1-1-111-22-22110011-2211-1-1-202000-1110-1-1-100000000000
χ2922222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2002-1-1-1−i3i31−i3i311112-2-22-1-1001100−i3i3−i3i30000001−i3i30−i3i3-100000000000
χ3022222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2002-1-1-1−i3i31−i3i31111-222-21100-1-100−i3i3−i3i3000000-1i3−i30i3−i3100000000000
χ3122222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2002-1-1-1i3−i31i3−i311112-2-22-1-1001100i3−i3i3−i30000001i3−i30i3−i3-100000000000
χ3222222-1-2-22-12-12-12-1-2-1-1-111-2-2-2-2002-1-1-1i3−i31i3−i31111-222-21100-1-100i3−i3i3−i3000000-1−i3i30−i3i3100000000000
χ3322222-1-2-22-12-12-1-2-12-1-1-11122-2-200-2111−i3i3-1i3−i311-1-122-2-2-1-1001100−i3i3i3−i3000000-1i3−i30−i3i3100000000000
χ3422222-1-2-22-12-12-1-2-12-1-1-11122-2-200-2111−i3i3-1i3−i311-1-1-2-2221100-1-100−i3i3i3−i30000001−i3i30i3−i3-100000000000
χ3522222-1-2-22-12-12-1-2-12-1-1-11122-2-200-2111i3−i3-1−i3i311-1-122-2-2-1-1001100i3−i3−i3i3000000-1−i3i30i3−i3100000000000
χ3622222-1-2-22-12-12-1-2-12-1-1-11122-2-200-2111i3−i3-1−i3i311-1-1-2-2221100-1-100i3−i3−i3i30000001i3−i30−i3i3-100000000000
χ372222-1222-12-12-122-12-1-1-122-1-1-1-122-12-1-122222-1-1-1-10000002200-1-1-1-1-1-10202-1-10002000-1-1-1-1-1-100000
χ382222-1222-12-12-122-12-1-1-122-1-1-1-122-12-1-122222-1-1-1-1000000-2-200-1-1-1-1-1-10-20-211000-200011111100000
χ392222-1222-12-12-122-12-1-1-122-1-1-1-1-2-2-12-1-1-2-22-2-2-1-1-1-100000022001111110-20-211000200011-1-1-1-100000
χ402222-1222-12-12-122-12-1-1-122-1-1-1-1-2-2-12-1-1-2-22-2-2-1-1-1-1000000-2-2001111110202-1-1000-2000-1-1111100000
χ412222-1222-12-12-12-2-1-2-1-1-12211-1-12-21-21122-2-2-2-1-1110000002200-11-1-1110-20211000-2000-1-1-1-11100000
χ422222-1222-12-12-12-2-1-2-1-1-12211-1-12-21-21122-2-2-2-1-111000000-2-200-11-1-111020-2-1-100020001111-1-100000
χ432222-1222-12-12-12-2-1-2-1-1-12211-1-1-221-211-2-2-222-1-11100000022001-111-1-1020-2-1-1000-200011-1-11100000
χ442222-1222-12-12-12-2-1-2-1-1-12211-1-1-221-211-2-2-222-1-111000000-2-2001-111-1-10-202110002000-1-111-1-100000
χ454444-24-4-4-24-24-244-2-4-2-2-2-4-4222200-24-2-200-40022220000000000000000000000000000000000000000
χ464444-24-4-4-24-24-24-4-24-2-2-2-4-4-2-222002-4220040022-2-20000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-244-2-211-2-2-2-2-211110000000000-2-21111000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2-4-4-2-21122-2221111000000000022-1-1-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-4111-2-222-2-24-422-1-1-2-222211-1-10000000000-2211-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-4111-2-222-2-2-4422-1-1222-2-211-1-100000000002-2-1-111000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-411122222200-2-211−2i32i32−2i32i3-1-1-1-1000000000000i3−i3i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2112i3−2i322i3−2i3-1-1-1-1000000000000−i3i3−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-41411122-2-2220022-1-1−2i32i3-22i3−2i3-1-111000000000000i3−i3−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-41411122-2-2220022-1-12i3−2i3-2−2i32i3-1-111000000000000−i3i3i3−i3000000000000000000000000
χ5544-4-44400-4-444-4-4040-44-4000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ5644-4-44400-4-444-4-4040-44-40000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ5744-4-4-24002-4-242-40-202-220023−2300000000000000023−23000000−2i22i200000000000000000000000i2−i2i6−i600000
χ5844-4-4-24002-4-242-40-202-220023−2300000000000000023−230000002i2−2i200000000000000000000000−i2i2−i6i600000
χ5944-4-4-24002-4-242-40-202-2200−2323000000000000000−2323000000−2i22i200000000000000000000000i2−i2−i6i600000
χ6044-4-4-24002-4-242-40-202-2200−2323000000000000000−23230000002i2−2i200000000000000000000000−i2i2i6−i600000
χ614-44-4444-4-4-4-4-444040-4-444-4004-4000000000004-4000000000000000000000000000000000000000000
χ624-44-444-44-4-4-4-444040-4-44-4400-4400000000000-44000000000000000000000000000000000000000000
χ634-44-44-24-4-42-424-20-2022-2-22004-400000000000-22000000−2i32i300−2i32i3000000000000000000000000000000
χ644-44-44-24-4-42-424-20-2022-2-22004-400000000000-220000002i3−2i3002i3−2i3000000000000000000000000000000
χ654-44-44-2-44-42-424-20-2022-22-200-44000000000002-2000000−2i32i3002i3−2i3000000000000000000000000000000
χ664-44-44-2-44-42-424-20-2022-22-200-44000000000002-20000002i3−2i300−2i32i3000000000000000000000000000000
χ674-44-4-244-42-42-4-240-2022-24-400-2200000000000-220000000000000000000000−2i32i3000000000000000000
χ684-44-4-244-42-42-4-240-2022-24-400-2200000000000-2200000000000000000000002i3−2i3000000000000000000
χ694-44-4-24-442-42-4-240-2022-2-44002-2000000000002-20000000000000000000000000000000−2i32i3000000000
χ704-44-4-24-442-42-4-240-2022-2-44002-2000000000002-200000000000000000000000000000002i3−2i3000000000
χ714-4-44440044-4-4-4-40404-4-400000000000000000000000000000000000000000000000000000000−2i22i2000
χ724-4-44440044-4-4-4-40404-4-4000000000000000000000000000000000000000000000000000000002i2−2i2000
χ7388-8-88-400-848-4-840-404-440000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-40044-4-444020-22-20043−43000000000000000−23230000000000000000000000000000000000000000
χ7588-8-8-4-40044-4-444020-22-200−434300000000000000023−230000000000000000000000000000000000000000
χ768-88-8-4-48-84444-4-4020-2-22-4400-44000000000002-2000000000000000000000000000000000000000000
χ778-88-8-4-4-884444-4-4020-2-224-4004-400000000000-22000000000000000000000000000000000000000000
χ788-8-888-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-4-444440202-2-200000000006-60000000000000000000000000000000000000000000000000
χ818-8-88-4-400-4-444440202-2-20000000000-660000000000000000000000000000000000000000000000000

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