Finite Group Databasebeta

← Group #11922341

Character table — Group #11922341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order122234466612122222444436661212121266121236661212121244666688121212121212121224242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ311111111111111-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-111111-111-1-1-1-1-1-111-1-1-111-11-1
χ611111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-111111-11-1-111-1-1-1-1-1-111-11-11-11
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-11-111-1-1111111-1-11-1-11-11
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-11-1-1111111-1-1111-11-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-1-1-1-1000000-1-1-1-10000220000
χ1022222222222222-2-2-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100111100000011110000-2-20000
χ1122222-2-2222-2-2-2-222-2-222-1-1-1-11111-2-222-1-1-1-1111100-1-1-1-100000011110000-220000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2-222-1-1-1-11111001111000000-1-1-1-100002-20000
χ132222-122-1-1-1-1-12200002222222222-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000000
χ142222-122-1-1-1-1-12200002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2111100001111000000
χ152222-1-2-2-1-1-111-2-20000222222-2-2-2-211-1-1-1-1-1-111112-200002-2-1-1110000-1-111000000
χ162222-1-2-2-1-1-111-2-20000222222-2-2-2-211-1-1-1-1-1-11111-220000-2211-1-1000011-1-1000000
χ172-2-2222-2-22-22-22-20000-222-2-2222-2-22-22-22-2-2222-2-200000000000000000000000000
χ182-2-2222-2-22-22-22-20000-22-111-1-1-1112-22-2-111-1-1-11100−i3−i3i3i3000000−i3−i3i3i30000000000
χ192-2-2222-2-22-22-22-20000-22-111-1-1-1112-22-2-111-1-1-11100i3i3−i3−i3000000i3i3−i3−i30000000000
χ202-2-222-22-22-2-22-220000-222-2-22-2-222-222-22-2-22-2-22200000000000000000000000000
χ212-2-222-22-22-2-22-220000-22-111-111-1-1-222-2-111-111-1-100−i3−i3i3i3000000i3i3−i3−i30000000000
χ222-2-222-22-22-2-22-220000-22-111-111-1-1-222-2-111-111-1-100i3i3−i3−i3000000−i3−i3i3i30000000000
χ232-2-22-12-21-11-112-20000-222-2-2222-2-2-11-11-111-1-1-111000000003−33−300003−33−3000000
χ242-2-22-12-21-11-112-20000-222-2-2222-2-2-11-11-111-1-1-11100000000−33−330000−33−33000000
χ252-2-22-1-221-111-1-220000-222-2-22-2-2221-1-11-111-111-1-1000000003−3−3300003−3−33000000
χ262-2-22-1-221-111-1-220000-222-2-22-2-2221-1-11-111-111-1-100000000−333−30000−333−3000000
χ27333333333333-1-13333-1-100000000-1-1-1-100000000110000-1-111110000-1-1-1-1-1-111-1-1
χ28333333333333-1-13333-1-100000000-1-1-1-100000000-1-1000011-1-1-1-100001111-1-1-1-111
χ29333333333333-1-1-3-3-3-3-1-100000000-1-1-1-100000000110000-1-111110000-1-1-1-111-1-111
χ30333333333333-1-1-3-3-3-3-1-100000000-1-1-1-100000000-1-1000011-1-1-1-1000011111111-1-1
χ3133333-3-3333-3-31133-3-3-1-10000000011-1-1000000001-10000-1111-1-10000-1-1111-11-1-11
χ3233333-3-3333-3-31133-3-3-1-10000000011-1-100000000-1100001-1-1-111000011-1-11-1-111-1
χ3333333-3-3333-3-311-3-333-1-10000000011-1-1000000001-10000-1111-1-10000-1-111-11-111-1
χ3433333-3-3333-3-311-3-333-1-10000000011-1-100000000-1100001-1-1-111000011-1-1-111-1-11
χ354444-244-2-2-2-2-244000044-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-2-4-4-2-2-222-4-4000044-2-2-2-2222222-2-21111-1-1-1-100000000000000000000000000
χ3744-4-44004-4-400004-4000011-1-13−33−3000011-1-13−33−3001-11-10000003−33−30000000000
χ3844-4-44004-4-400004-4000011-1-1−33−33000011-1-1−33−33001-11-1000000−33−330000000000
χ3944-4-44004-4-400004-40000-2-22200000000-2-222000000-22-2200000000000000000000
χ4044-4-44004-4-40000-44000011-1-13−33−3000011-1-13−33−300-11-11000000−33−330000000000
χ4144-4-44004-4-40000-44000011-1-1−33−33000011-1-1−33−3300-11-110000003−33−30000000000
χ4244-4-44004-4-40000-440000-2-22200000000-2-2220000002-22-200000000000000000000
χ434-44-4400-4-440000004i−4i001-11-13−3−3300001-11-13−3−3300−i3i3i3−i3000000i−i−ii0000000000
χ444-44-4400-4-440000004i−4i001-11-1−333−300001-11-1−333−300i3−i3−i3i3000000i−i−ii0000000000
χ454-44-4400-4-440000004i−4i00-22-2200000000-22-220000000000000000−2i2i2i−2i0000000000
χ464-44-4400-4-44000000−4i4i001-11-13−3−3300001-11-13−3−3300i3−i3−i3i3000000−iii−i0000000000
χ474-44-4400-4-44000000−4i4i001-11-1−333−300001-11-1−333−300−i3i3i3−i3000000−iii−i0000000000
χ484-44-4400-4-44000000−4i4i00-22-2200000000-22-2200000000000000002i−2i−2i2i0000000000
χ494-4-44-24-42-22-224-40000-44-222-2-2-222-22-221-1-1111-1-100000000000000000000000000
χ504-4-44-2-442-222-2-440000-44-222-222-2-22-2-221-1-11-1-11100000000000000000000000000
χ516666-366-3-3-3-3-3-2-20000-2-200000000111100000000220000-2-2-1-1-1-100001111000000
χ526666-366-3-3-3-3-3-2-20000-2-200000000111100000000-2-200002211110000-1-1-1-1000000
χ536666-3-6-6-3-3-333220000-2-200000000-1-111000000002-20000-22-1-111000011-1-1000000
χ546666-3-6-6-3-3-333220000-2-200000000-1-11100000000-2200002-211-1-10000-1-111000000
χ556-6-6666-6-66-66-6-2200002-200000000-22-220000000000000000000000000000000000
χ566-6-666-66-66-6-662-200002-2000000002-2-220000000000000000000000000000000000
χ576-6-66-36-63-33-33-2200002-2000000001-11-100000000000000003−33−30000−33−33000000
χ586-6-66-36-63-33-33-2200002-2000000001-11-10000000000000000−33−3300003−33−3000000
χ596-6-66-3-663-333-32-200002-200000000-111-100000000000000003−3−330000−333−3000000
χ606-6-66-3-663-333-32-200002-200000000-111-10000000000000000−333−300003−3−33000000
χ6188-8-8-400-444000000000022-2-223−2323−230000-1-111−33−3300000000000000000000000000
χ6288-8-8-400-444000000000022-2-2−2323−23230000-1-1113−33−300000000000000000000000000
χ6388-8-8-400-4440000000000-4-4440000000022-2-2000000000000000000000000000000
χ648-88-8-40044-400000000002-22-223−23−23230000-11-11−333−300000000000000000000000000
χ658-88-8-40044-400000000002-22-2−232323−230000-11-113−3−3300000000000000000000000000
χ668-88-8-40044-40000000000-44-44000000002-22-2000000000000000000000000000000

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