Finite Group Databasebeta

← Group #11922093

Character table — Group #11922093

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order12222236666644444444366666661212121236666666448812121212121212121212121224242424222488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ311111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111-1-11111-1-1-1-111-1-111111-1-1-1-111-1-111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-11-11-11-1
χ61111-1-11111-1-1-1-111-1-111111-1-1-1-111-1-111111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1111-1-11-11
χ71111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-111111-1-1-1-11-11-111-1-1-1-1-1-1111111-1-1-11-11-11
χ81111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000220000
χ1022222222222222-2-2-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000111111110000-2-20000
χ11222222-1-1-1-1-1-12200002222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-1-1-1-1000000
χ12222222-1-1-1-1-1-12200002222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000001111000000
χ132222-2-22222-2-2-2-222-2-222-1-1-11111-12-2-22-1-1-1-1111100000000-1-1-1-1111100002-20000
χ142222-2-22222-2-2-2-2-2-22222-1-1-11111-12-2-22-1-1-1-11111000000001111-1-1-1-10000-220000
χ152222-2-2-1-1-1-111-2-2000022222-2-2-2-22-111-1-1-1-1-111112-22-2-1-11100000000-1-111000000
χ162222-2-2-1-1-1-111-2-2000022222-2-2-2-22-111-1-1-1-1-11111-22-2211-1-10000000011-1-1000000
χ172-2-222-222-2-22-22-20000-222-2-222-2-2222-2-222-2-222-2-200000000000000000000000000
χ182-2-222-222-2-22-22-20000-22-111-1-111-122-2-2-1-111-1-11100000000−i3−i3i3i3−i3−i3i3i30000000000
χ192-2-222-222-2-22-22-20000-22-111-1-111-122-2-2-1-111-1-11100000000i3i3−i3−i3i3i3−i3−i30000000000
χ202-2-222-2-1-111-112-20000-222-2-222-2-22-1-111-1-111-1-11100003−33−3000000003−33−3000000
χ212-2-222-2-1-111-112-20000-222-2-222-2-22-1-111-1-111-1-1110000−33−3300000000−33−33000000
χ222-2-22-2222-2-2-22-220000-222-2-2-2-22222-22-222-2-2-2-22200000000000000000000000000
χ232-2-22-2222-2-2-22-220000-22-11111-1-1-12-22-2-1-11111-1-100000000−i3−i3i3i3i3i3−i3−i30000000000
χ242-2-22-2222-2-2-22-220000-22-11111-1-1-12-22-2-1-11111-1-100000000i3i3−i3−i3−i3−i3i3i30000000000
χ252-2-22-22-1-1111-1-220000-222-2-2-2-2222-11-11-1-11111-1-100003−3−33000000003−3−33000000
χ262-2-22-22-1-1111-1-220000-222-2-2-2-2222-11-11-1-11111-1-10000−333−300000000−333−3000000
χ27333333333333-1-13333-1-100000000-1-1-1-10000000011-1-1111100000000-1-1-1-1-1-111-1-1
χ28333333333333-1-13333-1-100000000-1-1-1-100000000-1-111-1-1-1-1000000001111-1-1-1-111
χ29333333333333-1-1-3-3-3-3-1-100000000-1-1-1-10000000011-1-1111100000000-1-1-1-111-1-111
χ30333333333333-1-1-3-3-3-3-1-100000000-1-1-1-100000000-1-111-1-1-1-10000000011111111-1-1
χ313333-3-33333-3-31133-3-3-1-100000000-111-1000000001-1-1111-1-100000000-1-111-111-1-11
χ323333-3-33333-3-31133-3-3-1-100000000-111-100000000-111-1-1-1110000000011-1-1-11-111-1
χ333333-3-33333-3-311-3-333-1-100000000-111-1000000001-1-1111-1-100000000-1-1111-1-111-1
χ343333-3-33333-3-311-3-333-1-100000000-111-100000000-111-1-1-1110000000011-1-11-11-1-11
χ35444444-2-2-2-2-2-244000044-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-4-4-2-2-2-222-4-4000044-2-2-22222-2-222-21111-1-1-1-100000000000000000000000000
χ3744-4-4004-44-40000004i−4i0011-1−i3i3−i3i3-100001-11-1−i3i3−i3i3000000003−33−3i−ii−i0000000000
χ3844-4-4004-44-40000004i−4i0011-1i3−i3i3−i3-100001-11-1i3−i3i3−i300000000−33−33i−ii−i0000000000
χ3944-4-4004-44-40000004i−4i00-2-22000020000-22-220000000000000000−2i2i−2i2i0000000000
χ4044-4-4004-44-4000000−4i4i0011-1−i3i3−i3i3-100001-11-1−i3i3−i3i300000000−33−33−ii−ii0000000000
χ4144-4-4004-44-4000000−4i4i0011-1i3−i3i3−i3-100001-11-1i3−i3i3−i3000000003−33−3−ii−ii0000000000
χ4244-4-4004-44-4000000−4i4i00-2-22000020000-22-2200000000000000002i−2i2i−2i0000000000
χ434-44-4004-4-4400004i−4i00001-11−i3i3i3−i3-100001-1-11−i3i3i3−i300000000i−i−ii3−3−330000000000
χ444-44-4004-4-4400004i−4i00001-11i3−i3−i3i3-100001-1-11i3−i3−i3i300000000i−i−ii−333−30000000000
χ454-44-4004-4-4400004i−4i0000-22-2000020000-222-2000000000000−2i2i2i−2i00000000000000
χ464-44-4004-4-440000−4i4i00001-11−i3i3i3−i3-100001-1-11−i3i3i3−i300000000−iii−i−333−30000000000
χ474-44-4004-4-440000−4i4i00001-11i3−i3−i3i3-100001-1-11i3−i3−i3i300000000−iii−i3−3−330000000000
χ484-44-4004-4-440000−4i4i0000-22-2000020000-222-20000000000002i−2i−2i2i00000000000000
χ494-4-444-4-2-222-224-40000-44-222-2-222-2-2-22211-1-111-1-100000000000000000000000000
χ504-4-44-44-2-2222-2-440000-44-22222-2-2-2-22-2211-1-1-1-11100000000000000000000000000
χ51666666-3-3-3-3-3-3-2-20000-2-20000000011110000000022-2-2-1-1-1-1000000001111000000
χ52666666-3-3-3-3-3-3-2-20000-2-200000000111100000000-2-222111100000000-1-1-1-1000000
χ536666-6-6-3-3-3-333220000-2-2000000001-1-11000000002-2-22-1-1110000000011-1-1000000
χ546666-6-6-3-3-3-333220000-2-2000000001-1-1100000000-222-211-1-100000000-1-111000000
χ556-6-666-666-6-66-6-2200002-200000000-2-2220000000000000000000000000000000000
χ566-6-666-6-3-333-33-2200002-20000000011-1-10000000000003−33−300000000−33−33000000
χ576-6-666-6-3-333-33-2200002-20000000011-1-1000000000000−33−33000000003−33−3000000
χ586-6-66-6666-6-6-662-200002-200000000-22-220000000000000000000000000000000000
χ596-6-66-66-3-3333-32-200002-2000000001-11-10000000000003−3−3300000000−333−3000000
χ606-6-66-66-3-3333-32-200002-2000000001-11-1000000000000−333−3000000003−3−33000000
χ6188-8-800-44-44000000000022-2−2i32i3−2i32i3-20000-11-11i3−i3i3−i300000000000000000000000000
χ6288-8-800-44-44000000000022-22i3−2i32i3−2i3-20000-11-11−i3i3−i3i300000000000000000000000000
χ6388-8-800-44-440000000000-4-440000400002-22-2000000000000000000000000000000
χ648-88-800-444-400000000002-22−2i32i32i3−2i3-20000-111-1i3−i3−i3i300000000000000000000000000
χ658-88-800-444-400000000002-222i3−2i3−2i32i3-20000-111-1−i3i3i3−i300000000000000000000000000
χ668-88-800-444-40000000000-44-40000400002-2-22000000000000000000000000000000

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