Finite Group Databasebeta

← Group #11923062

Character table — Group #11923062

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222223344444444666666688888888888812121212121212121616161616161616161616161616161616167272727272727272
order1223446121222246661212122446612123336661212121212122466612121266666666612121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-11-1-11-1-11111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1
χ411111111111-1-11-1-11-1-11111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ511-11-111-1-1111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-11-11-11-11-1
χ611-11-111-1-1111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-1-11-11-11-11
χ711-11-111-1-111-11-1-1-1111-1-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-11111111111-11-1-11-11
χ811-11-111-1-111-11-1-1-1111-1-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1111111111-11-111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222222-2-22-2-22-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-22-2-2-1-1-1111111-1-1-111111100000000
χ112222-2-22-2-22200200-2002-2-222-2-2222222-2-2-2-2-2-200200-200222000000-2-2-200000000000000
χ122222-2-22-2-22200200-2002-2-222-2-2-1-1-1-1-1-111111100200-200-1-1-1−i3−i3−i3i3i3i3111−i3−i3−i3i3i3i300000000
χ132222-2-22-2-22200200-2002-2-222-2-2-1-1-1-1-1-111111100200-200-1-1-1i3i3i3−i3−i3−i3111i3i3i3−i3−i3−i300000000
χ14222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-100000000
χ15222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-100000000
χ16222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1200000000
χ17222-122-1-1-122-2-2-111-111222-1-1-1-12-1-12-1-122-1-1-1-1-2-2-111-1112-1-1-211-2112-1-1-211-21100000000
χ18222-122-1-1-122-2-2-111-111222-1-1-1-1-12-1-12-1-1-122-1-1-2-2-111-111-12-11-211-21-12-11-211-2100000000
χ19222-122-1-1-122-2-2-111-111222-1-1-1-1-1-12-1-12-1-1-1-122-2-2-111-111-1-1211-211-2-1-1211-211-200000000
χ20222-1-2-2-1112200-1−i3i31−i3i32-2-2-1-1112-1-12-1-1-2-2111100-1−i3i31−i3i32-1-10−i3i30i3−i3-2110−i3i30i3−i300000000
χ21222-1-2-2-1112200-1−i3i31−i3i32-2-2-1-111-12-1-12-111-2-21100-1−i3i31−i3i3-12-1i30−i3−i30i31-21i30−i3−i30i300000000
χ22222-1-2-2-1112200-1−i3i31−i3i32-2-2-1-111-1-12-1-121111-2-200-1−i3i31−i3i3-1-12−i3i30i3−i3011-2−i3i30i3−i3000000000
χ23222-1-2-2-1112200-1i3−i31i3−i32-2-2-1-1112-1-12-1-1-2-2111100-1i3−i31i3−i32-1-10i3−i30−i3i3-2110i3−i30−i3i300000000
χ24222-1-2-2-1112200-1i3−i31i3−i32-2-2-1-111-12-1-12-111-2-21100-1i3−i31i3−i3-12-1−i30i3i30−i31-21−i30i3i30−i300000000
χ25222-1-2-2-1112200-1i3−i31i3−i32-2-2-1-111-1-12-1-121111-2-200-1i3−i31i3−i3-1-12i3−i30−i3i3011-2i3−i30−i3i3000000000
χ2622-222-22222200-200-200-22-2222222222222222200-200-200-2-2-2000000-2-2-200000000000000
χ2722-222-22222200-200-200-22-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111−i3−i3−i3i3i3i3111i3i3i3−i3−i3−i300000000
χ2822-222-22222200-200-200-22-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111i3i3i3−i3−i3−i3111−i3−i3−i3i3i3i300000000
χ2922-22-222-2-2222-2-2222-2-2-2-2222-2-2-1-1-1-1-1-11111112-2-2222-2-2111-1-1-1-1-1-1-1-1-111111100000000
χ3022-22-222-2-222-22-2-2-2222-2-2222-2-2-1-1-1-1-1-1111111-22-2-2-2222111111111-1-1-1-1-1-1-1-1-100000000
χ3122-2-12-2-1-1-122001−i3i31i3−i3-22-2-1-1-1-12-1-12-1-122-1-1-1-1001−i3i31i3−i3-2110−i3i30i3−i3-2110i3−i30−i3i300000000
χ3222-2-12-2-1-1-122001−i3i31i3−i3-22-2-1-1-1-1-12-1-12-1-1-122-1-1001−i3i31i3−i31-21i30−i3−i30i31-21−i30i3i30−i300000000
χ3322-2-12-2-1-1-122001−i3i31i3−i3-22-2-1-1-1-1-1-12-1-12-1-1-1-122001−i3i31i3−i311-2−i3i30i3−i3011-2i3−i30−i3i3000000000
χ3422-2-12-2-1-1-122001i3−i31−i3i3-22-2-1-1-1-12-1-12-1-122-1-1-1-1001i3−i31−i3i3-2110i3−i30−i3i3-2110−i3i30i3−i300000000
χ3522-2-12-2-1-1-122001i3−i31−i3i3-22-2-1-1-1-1-12-1-12-1-1-122-1-1001i3−i31−i3i31-21−i30i3i30−i31-21i30−i3−i30i300000000
χ3622-2-12-2-1-1-122001i3−i31−i3i3-22-2-1-1-1-1-1-12-1-12-1-1-1-122001i3−i31−i3i311-2i3−i30−i3i3011-2−i3i30i3−i3000000000
χ3722-2-1-22-111222-21-1-1-111-2-22-1-1112-1-12-1-1-2-211112-21-1-1-111-2112-1-12-1-12-1-1-211-21100000000
χ3822-2-1-22-111222-21-1-1-111-2-22-1-111-12-1-12-111-2-2112-21-1-1-1111-21-12-1-12-1-12-11-211-2100000000
χ3922-2-1-22-111222-21-1-1-111-2-22-1-111-1-12-1-121111-2-22-21-1-1-11111-2-1-12-1-12-1-1211-211-200000000
χ4022-2-1-22-11122-22111-1-1-1-2-22-1-1112-1-12-1-1-2-21111-22111-1-1-1-211-211-2112-1-12-1-12-1-100000000
χ4122-2-1-22-11122-22111-1-1-1-2-22-1-111-12-1-12-111-2-211-22111-1-1-11-211-211-21-12-1-12-1-12-100000000
χ4222-2-1-22-11122-22111-1-1-1-2-22-1-111-1-12-1-121111-2-2-22111-1-1-111-211-211-2-1-12-1-12-1-1200000000
χ43333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000000000000011-1-111-1-1
χ44333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-111-1-111
χ45333333333-1-1-3-33-3-33-3-3-1-1-1-1-1-1-100000000000011-111-11100000000000000000011-1-1-1-111
χ46333333333-1-1-3-33-3-33-3-3-1-1-1-1-1-1-100000000000011-111-111000000000000000000-1-11111-1-1
χ4733-33-333-3-3-1-13-3-3333-3-311-1-1-111000000000000-111-1-1-1110000000000000000001-1-111-1-11
χ4833-33-333-3-3-1-13-3-3333-3-311-1-1-111000000000000-111-1-1-111000000000000000000-111-1-111-1
χ4933-33-333-3-3-1-1-33-3-3-333311-1-1-1110000000000001-1111-1-1-10000000000000000001-1-11-111-1
χ5033-33-333-3-3-1-1-33-3-3-333311-1-1-1110000000000001-1111-1-1-1000000000000000000-111-11-1-11
χ514-40400-400-44000000000004-400444-4-4-40000000000000000000000000000000000000000
χ524-40400-400-44000000000004-400-2-2-222223−2323−2323−230000000000000000000000000000000000
χ534-40400-400-44000000000004-400-2-2-2222−2323−2323−23230000000000000000000000000000000000
χ544-40-200223−23-4400000000000-2223−234-2-2-4220023−23−23230000000000000000000000000000000000
χ554-40-200223−23-4400000000000-2223−23-24-22-42−23230023−230000000000000000000000000000000000
χ564-40-200223−23-4400000000000-2223−23-2-2422-423−23−2323000000000000000000000000000000000000
χ574-40-2002−2323-4400000000000-22−23234-2-2-42200−232323−230000000000000000000000000000000000
χ584-40-2002−2323-4400000000000-22−2323-24-22-4223−2300−23230000000000000000000000000000000000
χ594-40-2002−2323-4400000000000-22−2323-2-2422-4−232323−23000000000000000000000000000000000000
χ606666-6-66-6-6-2-200600-600-222-2-22200000000000000-20020000000000000000000000000000
χ61666-366-3-3-3-2-266-3-3-3-3-3-3-2-2-21111000000000000-2-211111100000000000000000000000000
χ62666-366-3-3-3-2-2-6-6-333-333-2-2-21111000000000000221-1-11-1-100000000000000000000000000
χ63666-3-6-6-333-2-200-3−3i33i33−3i33i3-22211-1-1000000000000001i3−i3-1i3−i300000000000000000000000000
χ64666-3-6-6-333-2-200-33i3−3i333i3−3i3-22211-1-1000000000000001−i3i3-1−i3i300000000000000000000000000
χ6566-666-6666-2-200-600-6002-22-2-2-2-20000000000000020020000000000000000000000000000
χ6666-6-36-6-3-3-3-2-2003−3i33i333i3−3i32-22111100000000000000-1i3−i3-1−i3i300000000000000000000000000
χ6766-6-36-6-3-3-3-2-20033i3−3i33−3i33i32-22111100000000000000-1−i3i3-1i3−i300000000000000000000000000
χ6866-6-3-66-333-2-26-63-3-3-33322-211-1-1000000000000-22-1111-1-100000000000000000000000000
χ6966-6-3-66-333-2-2-66333-3-3-322-211-1-10000000000002-2-1-1-111100000000000000000000000000
χ7012-1201200-12004-400000000000-44000000000000000000000000000000000000000000000000
χ7112-120-600663−634-4000000000002-2−23230000000000000000000000000000000000000000000000
χ7212-120-6006−63634-4000000000002-223−230000000000000000000000000000000000000000000000

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