Finite Group Databasebeta

← Group #11868771

Character table — Group #11868771

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order12222233446666666666661212121212121212444444444444444444441212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-11-1-1-1-1-111111-11-111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-11-11-1-1-1-11111-11-11-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11-11111-1-1-1-11-11-1-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-11-111111-1-1-1-1-11-1111-1-1
χ91111-1-1111-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ101111-1-1111-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1-111-1-11-1-11111-1-111-1-111-1-1-11-11
χ111111-1-1111-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1111-1-1-1-111-1-111-1-111-11-11
χ121111-1-1111-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-1-111-1-111-1-11111-1-11-11-1
χ131111-1-111-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-11-1-11111-1-1-111-11-1-11
χ141111-1-111-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1111-111-1-1-11111-1-11-1-11-111-1
χ151111-1-111-1111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1-1-1-11111-1-1111-1-1-1-111-111-1-111-1
χ161111-1-111-1111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-22222-200000000000000000000
χ192222-2-2222-222-2-2-2-22222-2-22222-2-2-2-200000000-222-2-222-200000000000000000000
χ202222-2-222-2222-2-2-2-22222-2-2-2-2-2-2222200000000-22222-2-2-200000000000000000000
χ212-22-22-222002-222-2-22-2-2-22-20000000000002-22-222-20000-200002-22-2000000000000
χ222-22-22-222002-222-2-22-2-2-22-2000000000000-22-2222-20000-20000-22-22000000000000
χ232-22-22-222002-222-2-22-2-2-22-2000000002i−2i2i−2i0000-2-2200002000000002i−2i2i−2i00000000
χ242-22-22-222002-222-2-22-2-2-22-200000000−2i2i−2i2i0000-2-220000200000000−2i2i−2i2i00000000
χ252-22-2-2222002-2-2-2222-2-2-2-220000000000002-2-222-220000-200002-2-22000000000000
χ262-22-2-2222002-2-2-2222-2-2-2-22000000000000-222-22-220000-20000-222-2000000000000
χ272-22-2-2222002-2-2-2222-2-2-2-22000000002i−2i−2i2i0000-22-200002000000002i−2i−2i2i00000000
χ282-22-2-2222002-2-2-2222-2-2-2-2200000000−2i2i2i−2i0000-22-20000200000000−2i2i2i−2i00000000
χ294444441-2441-2-2-2-2-2-211-21111-2-211-2-20000000000000000222200000000-1-1-1-10000
χ304444441-2441-2-2-2-2-2-211-21111-2-211-2-20000000000000000-2-2-2-20000000011110000
χ314444441-2-4-41-2-2-2-2-2-211-211-1-122-1-12200000000000000002-22-200000000-11-110000
χ324444441-2-4-41-2-2-2-2-2-211-211-1-122-1-1220000000000000000-22-22000000001-11-10000
χ33444444-2144-2111111-2-21-2-2-2-211-2-21122222222000000000000-1-1-1-1-1-1-1-100000000
χ34444444-2144-2111111-2-21-2-2-2-211-2-211-2-2-2-2-2-2-2-20000000000001111111100000000
χ35444444-21-4-4-2111111-2-21-2-222-1-122-1-12222-2-2-2-20000000000001111-1-1-1-100000000
χ36444444-21-4-4-2111111-2-21-2-222-1-122-1-1-2-2-2-22222000000000000-1-1-1-1111100000000
χ374444-4-41-24-41-22222-211-2-1-111-2-2-1-122000000000000000022-2-20000000011-1-10000
χ384444-4-41-24-41-22222-211-2-1-111-2-2-1-1220000000000000000-2-22200000000-1-1110000
χ394444-4-41-2-441-22222-211-2-1-1-1-12211-2-200000000000000002-2-22000000001-1-110000
χ404444-4-41-2-441-22222-211-2-1-1-1-12211-2-20000000000000000-222-200000000-111-10000
χ414444-4-4-214-4-21-1-1-1-11-2-2122-2-21122-1-122-2-222-2-2000000000000-1-111-1-11100000000
χ424444-4-4-214-4-21-1-1-1-11-2-2122-2-21122-1-1-2-222-2-22200000000000011-1-111-1-100000000
χ434444-4-4-21-44-21-1-1-1-11-2-212222-1-1-2-21122-2-2-2-22200000000000011-1-1-1-11100000000
χ444444-4-4-21-44-21-1-1-1-11-2-212222-1-1-2-211-2-22222-2-2000000000000-1-11111-1-100000000
χ4544-4-4004400-4-40000-4-444000000000000000000000004i−4i000000000000000000000
χ4644-4-4004400-4-40000-4-44400000000000000000000000−4i4i000000000000000000000
χ474-44-44-4-2100-2-111-1-1122-1-22003i−3i003i−3i2i−2i2i−2i2-22-2000000000000-11-11−ii−ii00000000
χ484-44-44-4-2100-2-111-1-1122-1-22003i−3i003i−3i−2i2i−2i2i-22-220000000000001-11-1i−ii−i00000000
χ494-44-44-4-2100-2-111-1-1122-1-2200−3i3i00−3i3i2i−2i2i−2i-22-220000000000001-11-1−ii−ii00000000
χ504-44-44-4-2100-2-111-1-1122-1-2200−3i3i00−3i3i−2i2i−2i2i2-22-2000000000000-11-11i−ii−i00000000
χ514-44-4-44-2100-2-1-1-111122-12-2003i−3i00−3i3i2i−2i−2i2i2-2-22000000000000-111-1−iii−i00000000
χ524-44-4-44-2100-2-1-1-111122-12-2003i−3i00−3i3i−2i2i2i−2i-222-20000000000001-1-11i−i−ii00000000
χ534-44-4-44-2100-2-1-1-111122-12-200−3i3i003i−3i2i−2i−2i2i-222-20000000000001-1-11−iii−i00000000
χ544-44-4-44-2100-2-1-1-111122-12-200−3i3i003i−3i−2i2i2i−2i2-2-22000000000000-111-1i−i−ii00000000
χ554-4-44004400-440000-44-4-40000000000000000000004-400000000000000000000000
χ564-4-44004400-440000-44-4-4000000000000000000000-4400000000000000000000000
χ5788-8-8002-400-2400004-22-4006-6000000000000000000000000000000000000000000
χ5888-8-8002-400-2400004-22-400-66000000000000000000000000000000000000000000
χ5988-8-800-42004-26-66-6-24-420000000000000000000000000000000000000000000000
χ6088-8-800-42004-2-66-66-24-420000000000000000000000000000000000000000000000
χ618-88-88-82-40024-4-444-4-2-242-200000000000000000000000000000000000000000000
χ628-88-8-882-4002444-4-4-4-2-24-2200000000000000000000000000000000000000000000
χ638-8-88002-400-2-4000042-240000006i−6i00000000000000000000000000000000000000
χ648-8-88002-400-2-4000042-24000000−6i6i00000000000000000000000000000000000000
χ658-8-8800-4200426-6-66-2-44-20000000000000000000000000000000000000000000000
χ668-8-8800-420042-666-6-2-44-20000000000000000000000000000000000000000000000

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