Finite Group Databasebeta

← Group #11882283

Character table — Group #11882283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212122244442244444466661212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-11-111-1-111-1-111-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-11111-1-111-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-1-1-111-1-1111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-11-11-1-111-1-111-1-11111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-111-11-111-1-1-1-111-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-11-11-1111-1-1-1-111-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111-1-11-111-11-11-1-1-11111-1-1-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111-1-11-111-1-11-11-1-11111-1-1-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11-1-111111-1-1-1-1-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-11111-1-1-1-1-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111-1-11-1-1-1-11111-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-111-1-1-1-1-11111-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222-222-20000000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-222-2-222-2-2-2-2-222-200000000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-200000000000000002000000000000
χ2122-2-22-2002202-2-2-2-2222-2-22-2000000002-202-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2222-2-22-2002202-2-2-2-2222-2-22-2000000002-202-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2322-2-22-2002202-2-2-2-2222-2-22-200000000-220-22000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2422-2-22-2002202-2-2-2-2222-2-22-200000000-220-22000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ2522-2-2-22002202-2-2-2-22-2-222-22000000002-20-22000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ2622-2-2-22002202-2-2-2-22-2-222-22000000002-20-22000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ2722-2-2-22002202-2-2-2-22-2-222-2200000000-2202-2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ2822-2-2-22002202-2-2-2-22-2-222-2200000000-2202-2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ29444444441-241-2-211-2-2-2-2-211-2-2-2-211110000000000222200000000000000000-1-1-1-1
χ30444444441-241-2-211-2-2-2-2-211-2-2-2-211110000000000-2-2-2-2000000000000000001111
χ3144444444-214-211-2-211111-2-21111-2-2-2-200000022220000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-211-2-211111-2-21111-2-2-2-2000000-2-2-2-20000111111110000000000000
χ33444444-4-41-2-41-2-211-2-2-2-2-2112222-1-1-1-1000000000022-2-200000000000000000-1-111
χ34444444-4-41-2-41-2-211-2-2-2-2-2112222-1-1-1-10000000000-2-2220000000000000000011-1-1
χ35444444-4-4-21-4-211-2-211111-2-2-1-1-1-122220000002-22-20000-1-111-1-1110000000000000
χ36444444-4-4-21-4-211-2-211111-2-2-1-1-1-12222000000-22-22000011-1-111-1-10000000000000
χ374444-4-4441-2-41-2-211-22222-1-1-2-22211-1-100000000002-22-200000000000000000-11-11
χ384444-4-4441-2-41-2-211-22222-1-1-2-22211-1-10000000000-22-22000000000000000001-11-1
χ394444-4-444-21-4-211-2-21-1-1-1-12211-1-1-2-2220000002-2-220000-1-11111-1-10000000000000
χ404444-4-444-21-4-211-2-21-1-1-1-12211-1-1-2-222000000-222-2000011-1-1-1-1110000000000000
χ414444-4-4-4-41-241-2-211-22222-1-122-2-2-1-11100000000002-2-2200000000000000000-111-1
χ424444-4-4-4-41-241-2-211-22222-1-122-2-2-1-1110000000000-222-2000000000000000001-1-11
χ434444-4-4-4-4-214-211-2-21-1-1-1-122-1-11122-2-200000022-2-20000-1-1-1-111110000000000000
χ444444-4-4-4-4-214-211-2-21-1-1-1-122-1-11122-2-2000000-2-22200001111-1-1-1-10000000000000
χ454-44-40000440-44-44-4-40000000000000000400-400000000000000000000000000000
χ464-44-40000440-44-44-4-40000000000000000-400400000000000000000000000000000
χ474-4-44004i−4i440-4-44-44-40000004i−4i004i−4i0000000000000000000000000000000000000
χ484-4-44004i−4i-2102-112-2-13i−3i3i−3i00i−i3-3−2i2i0000000000000000−i3i3−i3i33−33−30000000000000
χ494-4-44004i−4i-2102-112-2-13i−3i3i−3i00i−i3-3−2i2i0000000000000000i3−i3i3−i3−33−330000000000000
χ504-4-44004i−4i-2102-112-2-1−3i3i−3i3i00i−i-33−2i2i0000000000000000−i3i3i3−i3−333−30000000000000
χ514-4-44004i−4i-2102-112-2-1−3i3i−3i3i00i−i-33−2i2i0000000000000000i3−i3−i3i33−3−330000000000000
χ524-4-4400−4i4i440-4-44-44-4000000−4i4i00−4i4i0000000000000000000000000000000000000
χ534-4-4400−4i4i-2102-112-2-13i−3i3i−3i00−ii-332i−2i0000000000000000−i3i3i3−i33−3−330000000000000
χ544-4-4400−4i4i-2102-112-2-13i−3i3i−3i00−ii-332i−2i0000000000000000i3−i3−i3i3−333−30000000000000
χ554-4-4400−4i4i-2102-112-2-1−3i3i−3i3i00−ii3-32i−2i0000000000000000−i3i3−i3i3−33−330000000000000
χ564-4-4400−4i4i-2102-112-2-1−3i3i−3i3i00−ii3-32i−2i0000000000000000i3−i3i3−i33−33−30000000000000
χ5788-8-88-8002-40244-2-2-4-4-4442-20000000000000000000000000000000000000000000
χ5888-8-88-800-420-4-2-244222-2-2-440000000000000000000000000000000000000000000
χ5988-8-8-88002-40244-2-2-444-4-4-220000000000000000000000000000000000000000000
χ6088-8-8-8800-420-4-2-2442-2-2224-40000000000000000000000000000000000000000000
χ618-88-800002-40-2-442-240000000000006i−6i00000000000000000000000000000000000
χ628-88-800002-40-2-442-24000000000000−6i6i00000000000000000000000000000000000
χ638-88-80000-42042-2-44-26i−6i−6i6i000000000000000000000000000000000000000000000
χ648-88-80000-42042-2-44-2−6i6i6i−6i000000000000000000000000000000000000000000000
χ658-8-88008i−8i2-40-24-4-224000000−4i4i002i−2i0000000000000000000000000000000000000
χ668-8-8800−8i8i2-40-24-4-2240000004i−4i00−2i2i0000000000000000000000000000000000000

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