Finite Group Databasebeta

← Group #11922849

Character table — Group #11922849

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order12223446662222246612121212446666333666666666246612121212666666121212121212121212121212224444442444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-1-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111111-111-1-1-1-1-1-111111111111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ611111-1-111111111-111-1-1-1-1-1-111111111111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ711111-1-11111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11
χ811111-1-11111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1
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
χ1022222222222222-2-2-2-222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2111111-1-1-1-1-1-1111111000000000000
χ1122222-2-222222222-222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1222222-2-22222222-22-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-222111111111111-1-1-1-1-1-1000000000000
χ132222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122000000000000
χ162222-122-1-1-12222-2-211-1-11122-1-1-1-12-1-12-1-122-1-1-1-1-2-211-1-111-2-2111122-1-1-1-1-2-21111000000000000
χ172222-122-1-1-12222-2-211-1-11122-1-1-1-1-12-1-12-1-1-122-1-1-2-211-1-11111-2-211-1-122-1-111-2-211000000000000
χ182222-122-1-1-12222-2-211-1-11122-1-1-1-1-1-12-1-12-1-1-1-122-2-211-1-1111111-2-2-1-1-1-1221111-2-2000000000000
χ192222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-12-1-12-1-122-1-1-1-12-2-1-1111122-1-1-1-1-2-21111-2-21111000000000000
χ202222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-1-12-1-12-1-1-122-1-12-2-1-11111-1-122-1-111-2-21111-2-211000000000000
χ212222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-1-1-12-1-12-1-1-1-1222-2-1-11111-1-1-1-1221111-2-21111-2-2000000000000
χ222222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-12-1-12-1-122-1-1-1-1-221111-1-1-2-21111-2-2111122-1-1-1-1000000000000
χ232222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-1-12-1-12-1-1-122-1-1-221111-1-111-2-21111-2-211-1-122-1-1000000000000
χ242222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-1-1-12-1-12-1-1-1-122-221111-1-11111-2-21111-2-2-1-1-1-122000000000000
χ2522-2-222i−2i2-2-22-2-2200002i−2i002i−2i22-2-2222222-2-2-2-2-2-200002i−2i000000002i−2i2i−2i2i−2i000000000000000000
χ2622-2-222i−2i2-2-22-2-2200002i−2i002i−2i22-2-2-1-1-1-1-1-111111100002i−2i00−i3i3−i3i3−i3i3−ii−ii−ii3−33−33−3000000000000
χ2722-2-222i−2i2-2-22-2-2200002i−2i002i−2i22-2-2-1-1-1-1-1-111111100002i−2i00i3−i3i3−i3i3−i3−ii−ii−ii−33−33−33000000000000
χ2822-2-22−2i2i2-2-22-2-220000−2i2i00−2i2i22-2-2222222-2-2-2-2-2-20000−2i2i00000000−2i2i−2i2i−2i2i000000000000000000
χ2922-2-22−2i2i2-2-22-2-220000−2i2i00−2i2i22-2-2-1-1-1-1-1-11111110000−2i2i00−i3i3−i3i3−i3i3i−ii−ii−i−33−33−33000000000000
χ3022-2-22−2i2i2-2-22-2-220000−2i2i00−2i2i22-2-2-1-1-1-1-1-11111110000−2i2i00i3−i3i3−i3i3−i3i−ii−ii−i3−33−33−3000000000000
χ3122-2-2-12i−2i-1112-2-2200−i3i3−ii3−32i−2i-1-1112-1-12-1-1-2-2111100−i3i3−ii3−300−i3i3i3−i32i−2i−ii−ii003−3−33000000000000
χ3222-2-2-12i−2i-1112-2-2200−i3i3−ii3−32i−2i-1-111-12-1-12-111-2-21100−i3i3−ii3−3i3−i300−i3i3−ii2i−2i−ii−33003−3000000000000
χ3322-2-2-12i−2i-1112-2-2200−i3i3−ii3−32i−2i-1-111-1-12-1-121111-2-200−i3i3−ii3−3−i3i3i3−i300−ii−ii2i−2i3−3−3300000000000000
χ3422-2-2-12i−2i-1112-2-2200i3−i3−ii−332i−2i-1-1112-1-12-1-1-2-2111100i3−i3−ii−3300i3−i3−i3i32i−2i−ii−ii00−333−3000000000000
χ3522-2-2-12i−2i-1112-2-2200i3−i3−ii−332i−2i-1-111-12-1-12-111-2-21100i3−i3−ii−33−i3i300i3−i3−ii2i−2i−ii3−300−33000000000000
χ3622-2-2-12i−2i-1112-2-2200i3−i3−ii−332i−2i-1-111-1-12-1-121111-2-200i3−i3−ii−33i3−i3−i3i300−ii−ii2i−2i−333−300000000000000
χ3722-2-2-1−2i2i-1112-2-2200−i3i3i−i−33−2i2i-1-1112-1-12-1-1-2-2111100−i3i3i−i−3300−i3i3i3−i3−2i2ii−ii−i00−333−3000000000000
χ3822-2-2-1−2i2i-1112-2-2200−i3i3i−i−33−2i2i-1-111-12-1-12-111-2-21100−i3i3i−i−33i3−i300−i3i3i−i−2i2ii−i3−300−33000000000000
χ3922-2-2-1−2i2i-1112-2-2200−i3i3i−i−33−2i2i-1-111-1-12-1-121111-2-200−i3i3i−i−33−i3i3i3−i300i−ii−i−2i2i−333−300000000000000
χ4022-2-2-1−2i2i-1112-2-2200i3−i3i−i3−3−2i2i-1-1112-1-12-1-1-2-2111100i3−i3i−i3−300i3−i3−i3i3−2i2ii−ii−i003−3−33000000000000
χ4122-2-2-1−2i2i-1112-2-2200i3−i3i−i3−3−2i2i-1-111-12-1-12-111-2-21100i3−i3i−i3−3−i3i300i3−i3i−i−2i2ii−i−33003−3000000000000
χ4222-2-2-1−2i2i-1112-2-2200i3−i3i−i3−3−2i2i-1-111-1-12-1-121111-2-200i3−i3i−i3−3i3−i3−i3i300i−ii−i−2i2i3−3−3300000000000000
χ432-22-2200-22-2-22-2200000000002-22-2222-2-2-22-22-22-200000000000000000000000000002-22-2000000
χ442-22-2200-22-2-22-2200000000002-22-2222-2-2-22-22-22-20000000000000000000000000000-22-22000000
χ452-2-22200-2-22-2-22200000000002-2-22222-2-2-2-22-22-22000000000000000000000000002-200002-20000
χ462-2-22200-2-22-2-22200000000002-2-22222-2-2-2-22-22-2200000000000000000000000000-220000-220000
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
χ493333333333-1-1-1-1-3-3-3-333-3-3-1-1-1-1-1-10000000000001111-1-1110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-3-3-333-3-3-1-1-1-1-1-10000000000001111-1-111000000000000000000-1-1-1-1111111-1-1
χ5133333-3-3333-1-1-1-13-333-3-3-3-311-1-1-1-1000000000000-11-1-1111100000000000000000011-1-111-1-1-11-11
χ5233333-3-3333-1-1-1-13-333-3-3-3-311-1-1-1-1000000000000-11-1-11111000000000000000000-1-111-1-1111-11-1
χ5333333-3-3333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-100000000000000000011-1-111-1-11-11-1
χ5433333-3-3333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-1000000000000000000-1-111-1-111-11-11
χ554-44-4400-44-4-44-4400000000004-44-4-2-2-2222-22-22-2200000000000000000000000000000000000000
χ564-44-4-2002-22-44-440000000000-22-224-2-2-4224-4-22-2200000000000000000000000000000000000000
χ574-44-4-2002-22-44-440000000000-22-22-24-22-42-224-4-2200000000000000000000000000000000000000
χ584-44-4-2002-22-44-440000000000-22-22-2-2422-4-22-224-400000000000000000000000000000000000000
χ594-4-44400-4-44-4-44400000000004-4-44-2-2-22222-22-22-200000000000000000000000000000000000000
χ604-4-44-20022-2-4-4440000000000-222-24-2-2-422-442-22-200000000000000000000000000000000000000
χ614-4-44-20022-2-4-4440000000000-222-2-24-22-422-2-442-200000000000000000000000000000000000000
χ624-4-44-20022-2-4-4440000000000-222-2-2-2422-42-22-2-4400000000000000000000000000000000000000
χ636666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ646666-366-3-3-3-2-2-2-2-6-633-3-333-2-2111100000000000022-1-111-1-1000000000000000000000000000000
χ656666-3-6-6-3-3-3-2-2-2-26-6-3-33333221111000000000000-2211-1-1-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-2-663333-3-32211110000000000002-2-1-1-1-111000000000000000000000000000000
χ6766-6-666i−6i6-6-6-222-200006i−6i00−2i2i-2-2220000000000000000−2i2i00000000000000000000000000000000
χ6866-6-66−6i6i6-6-6-222-20000−6i6i002i−2i-2-22200000000000000002i−2i00000000000000000000000000000000
χ6966-6-6-36i−6i-333-222-200−3i33i3−3i3i33−33−2i2i11-1-100000000000000i3−i3i−i−33000000000000000000000000000000
χ7066-6-6-36i−6i-333-222-2003i3−3i3−3i3i−3333−2i2i11-1-100000000000000−i3i3i−i3−3000000000000000000000000000000
χ7166-6-6-3−6i6i-333-222-200−3i33i33i−3i−33332i−2i11-1-100000000000000i3−i3−ii3−3000000000000000000000000000000
χ7266-6-6-3−6i6i-333-222-2003i3−3i33i−3i33−332i−2i11-1-100000000000000−i3i3−ii−33000000000000000000000000000000
χ736-66-6600-66-62-22-20000000000-22-2200000000000000000000000000000000000000002-2-22000000
χ746-66-6600-66-62-22-20000000000-22-220000000000000000000000000000000000000000-222-2000000
χ756-6-66600-6-6622-2-20000000000-222-2000000000000000000000000000000000000002-20000-220000
χ766-6-66600-6-6622-2-20000000000-222-200000000000000000000000000000000000000-2200002-20000
χ7712-1212-12-6006-664-44-400000000002-22-200000000000000000000000000000000000000000000000000
χ7812-12-1212-60066-644-4-400000000002-2-2200000000000000000000000000000000000000000000000000

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