Finite Group Databasebeta

← Group #11923063

Character table — Group #11923063

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order1244234612122244246661212122466121233366612121212121224666121212666666666121212121212121212888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-11-1-11-1-1111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-11-1-11-1-1111111111111111111-1-11-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-1111-1-111-1-11-1-1111-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-11-11-1
χ611-1-1-1111-1-111-1-11-1-1111-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-11-11
χ711-1-1-1111-1-111-1-1-11-1-1-1111-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-11-11
χ811-1-1-1111-1-111-1-1-11-1-1-1111-1111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-22-2-22-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-22-2-2-1-1-1111111-1-1-1111111000000000000
χ1122222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1000000000000
χ1222222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1000000000000
χ1322222-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-12-1-1-1-122000000000000
χ1422222-12-1-1-12222-2-2-111-11122-1-1-1-12-1-12-1-122-1-1-1-1-2-2-111-1112-1-1-2-211112-1-1-2-21111000000000000
χ1522222-12-1-1-12222-2-2-111-11122-1-1-1-1-12-1-12-1-1-122-1-1-2-2-111-111-12-111-2-211-12-111-2-211000000000000
χ1622222-12-1-1-12222-2-2-111-11122-1-1-1-1-1-12-1-12-1-1-1-122-2-2-111-111-1-121111-2-2-1-121111-2-2000000000000
χ172222-22-2222222200-200-200-2-2222222222222222200-200-200-2-2-2000000-2-2-2000000000000000000
χ182222-22-2222222200-200-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111−i3i3−i3i3−i3i3111−i3i3−i3i3−i3i3000000000000
χ192222-22-2222222200-200-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-200-200111i3−i3i3−i3i3−i3111i3−i3i3−i3i3−i3000000000000
χ202222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-12-1-12-1-122-1-1-1-1001−i3i31−i3i3-21100−i3i3i3−i3-21100−i3i3i3−i3000000000000
χ212222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-1-12-1-12-1-1-122-1-1001−i3i31−i3i31-21i3−i300−i3i31-21i3−i300−i3i3000000000000
χ222222-2-1-2-1-1-12222001−i3i31−i3i3-2-2-1-1-1-1-1-12-1-12-1-1-1-122001−i3i31−i3i311-2−i3i3i3−i30011-2−i3i3i3−i300000000000000
χ232222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-12-1-12-1-122-1-1-1-1001i3−i31i3−i3-21100i3−i3−i3i3-21100i3−i3−i3i3000000000000
χ242222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-1-12-1-12-1-1-122-1-1001i3−i31i3−i31-21−i3i300i3−i31-21−i3i300i3−i3000000000000
χ252222-2-1-2-1-1-12222001i3−i31i3−i3-2-2-1-1-1-1-1-12-1-12-1-1-1-122001i3−i31i3−i311-2i3−i3−i3i30011-2i3−i3−i3i300000000000000
χ2622-2-222-22-2-222-2-200200-2002-222-2-2222222-2-2-2-2-2-200200-200222000000-2-2-2000000000000000000
χ2722-2-222-22-2-222-2-200200-2002-222-2-2-1-1-1-1-1-111111100200-200-1-1-1−i3i3−i3i3−i3i3111i3−i3i3−i3i3−i3000000000000
χ2822-2-222-22-2-222-2-200200-2002-222-2-2-1-1-1-1-1-111111100200-200-1-1-1i3−i3i3−i3i3−i3111−i3i3−i3i3−i3i3000000000000
χ2922-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-1112-1-12-1-1-2-2111100-1−i3i31i3−i32-1-100−i3i3i3−i3-21100i3−i3−i3i3000000000000
χ3022-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-111-12-1-12-111-2-21100-1−i3i31i3−i3-12-1i3−i300−i3i31-21−i3i300i3−i3000000000000
χ3122-2-22-1-2-11122-2-200-1−i3i31i3−i32-2-1-111-1-12-1-121111-2-200-1−i3i31i3−i3-1-12−i3i3i3−i30011-2i3−i3−i3i300000000000000
χ3222-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-1112-1-12-1-1-2-2111100-1i3−i31−i3i32-1-100i3−i3−i3i3-21100−i3i3i3−i3000000000000
χ3322-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-111-12-1-12-111-2-21100-1i3−i31−i3i3-12-1−i3i300i3−i31-21i3−i300−i3i3000000000000
χ3422-2-22-1-2-11122-2-200-1i3−i31−i3i32-2-1-111-1-12-1-121111-2-200-1i3−i31−i3i3-1-12i3−i3−i3i30011-2−i3i3i3−i300000000000000
χ3522-2-2-2222-2-222-2-22-2-2222-2-2-2222-2-2-1-1-1-1-1-11111112-2-2222-2-2111-1-1-1-1-1-1-1-1-1111111000000000000
χ3622-2-2-2222-2-222-2-2-22-2-2-2222-2222-2-2-1-1-1-1-1-1111111-22-2-2-2222111111111-1-1-1-1-1-1-1-1-1000000000000
χ3722-2-2-2-12-11122-2-22-21-1-1-111-22-1-1112-1-12-1-1-2-211112-21-1-1-111-21122-1-1-1-12-1-1-2-21111000000000000
χ3822-2-2-2-12-11122-2-22-21-1-1-111-22-1-111-12-1-12-111-2-2112-21-1-1-1111-21-1-122-1-1-12-111-2-211000000000000
χ3922-2-2-2-12-11122-2-22-21-1-1-111-22-1-111-1-12-1-121111-2-22-21-1-1-11111-2-1-1-1-122-1-121111-2-2000000000000
χ4022-2-2-2-12-11122-2-2-22111-1-1-1-22-1-1112-1-12-1-1-2-21111-22111-1-1-1-211-2-211112-1-122-1-1-1-1000000000000
χ4122-2-2-2-12-11122-2-2-22111-1-1-1-22-1-111-12-1-12-111-2-211-22111-1-1-11-2111-2-211-12-1-1-122-1-1000000000000
χ4222-2-2-2-12-11122-2-2-22111-1-1-1-22-1-111-1-12-1-121111-2-2-22111-1-1-111-21111-2-2-1-12-1-1-1-122000000000000
χ432-22i−2i020-22i−2i2-22i−2i00000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i000000000000000000000000002−2−i2i22−2−i2i20000
χ442-22i−2i020-22i−2i2-22i−2i00000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i00000000000000000000000000−22i2−i2−22i2−i20000
χ452-2−2i2i020-2−2i2i2-2−2i2i00000000002-2−2i2i222-2-2-2−2i2i−2i2i−2i2i000000000000000000000000002−2i2−i22−2i2−i20000
χ462-2−2i2i020-2−2i2i2-2−2i2i00000000002-2−2i2i222-2-2-2−2i2i−2i2i−2i2i00000000000000000000000000−22−i2i2−22−i2i20000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-1-3-33-3-33-3-3-1-1-1-1-1-100000000000011-111-1110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-33-3-33-3-3-1-1-1-1-1-100000000000011-111-111000000000000000000-1-1-1-1111111-1-1
χ5133-3-3-3333-3-3-1-1113-3-3333-3-31-1-1-111000000000000-111-1-1-11100000000000000000011-1-1-1-1111-1-11
χ5233-3-3-3333-3-3-1-1113-3-3333-3-31-1-1-111000000000000-111-1-1-111000000000000000000-1-11111-1-1-111-1
χ5333-3-3-3333-3-3-1-111-33-3-3-33331-1-1-1110000000000001-1111-1-1-100000000000000000011-1-1-1-111-111-1
χ5433-3-3-3333-3-3-1-111-33-3-3-33331-1-1-1110000000000001-1111-1-1-1000000000000000000-1-11111-1-11-1-11
χ554-44i−4i040-44i−4i4-44i−4i00000000004-44i−4i-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ564-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i4-2-2-4224i−4i−2i2i−2i2i00000000000000000000000000000000000000
χ574-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i-24-22-42−2i2i4i−4i−2i2i00000000000000000000000000000000000000
χ584-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i-2-2422-4−2i2i−2i2i4i−4i00000000000000000000000000000000000000
χ594-4−4i4i040-4−4i4i4-4−4i4i00000000004-4−4i4i-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ604-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i4-2-2-422−4i4i2i−2i2i−2i00000000000000000000000000000000000000
χ614-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i-24-22-422i−2i−4i4i2i−2i00000000000000000000000000000000000000
χ624-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i-2-2422-42i−2i2i−2i−4i4i00000000000000000000000000000000000000
χ6366666-36-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ6466666-36-3-3-3-2-2-2-2-6-6-333-333-2-21111000000000000221-1-11-1-1000000000000000000000000000000
χ656666-66-6666-2-2-2-200-600-60022-2-2-2-200000000000000200200000000000000000000000000000000
χ666666-6-3-6-3-3-3-2-2-2-2003−3i33i33−3i33i322111100000000000000-1i3−i3-1i3−i3000000000000000000000000000000
χ676666-6-3-6-3-3-3-2-2-2-20033i3−3i333i3−3i322111100000000000000-1−i3i3-1−i3i3000000000000000000000000000000
χ6866-6-666-66-6-6-2-22200600-600-22-2-22200000000000000-200200000000000000000000000000000000
χ6966-6-66-3-6-333-2-22200-3−3i33i333i3−3i3-2211-1-1000000000000001i3−i3-1−i3i3000000000000000000000000000000
χ7066-6-66-3-6-333-2-22200-33i3−3i33−3i33i3-2211-1-1000000000000001−i3i3-1i3−i3000000000000000000000000000000
χ7166-6-6-6-36-333-2-2226-63-3-3-3332-211-1-1000000000000-22-1111-1-1000000000000000000000000000000
χ7266-6-6-6-36-333-2-222-66333-3-3-32-211-1-10000000000002-2-1-1-1111000000000000000000000000000000
χ736-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i000000000000000000000000000000000000002−2−i2i2−22i2−i20000
χ746-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i00000000000000000000000000000000000000−22i2−i22−2−i2i20000
χ756-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i000000000000000000000000000000000000002−2i2−i2−22−i2i20000
χ766-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i00000000000000000000000000000000000000−22−i2i22−2i2−i20000
χ7712-1212i−12i0-606−6i6i-44−4i4i00000000002-22i−2i00000000000000000000000000000000000000000000000000
χ7812-12−12i12i0-6066i−6i-444i−4i00000000002-2−2i2i00000000000000000000000000000000000000000000000000

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