Finite Group Databasebeta

← Group #11921046

Character table — Group #11921046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224444444466888888888888121212161616161616161616161616161616161616242424243636363672727272144
order122234466644121212121212443336666666664121212121212121212121212121212121212121226612888888884
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1
χ41111111111-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111
χ522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000
χ62222222222-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111111111-2-2-22000000000
χ722222-2-222200-2-2000022222222222222-222-2-2-2-2-2-2000000000000000-2000000000
χ822222-2-222200-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-222111111−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000-2000000000
χ922222-2-222200-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-222111111i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000-2000000000
χ102222-122-1-1-122-1-1-1-1-1-1222-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-1-1000000000
χ112222-122-1-1-122-1-1-1-1-1-122-12-1-12-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-1-1000000000
χ122222-122-1-1-122-1-1-1-1-1-122-1-12-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-1-1000000000
χ132222-122-1-1-1-2-2-1-11111222-1-12-1-12-1-12-1-12-1-122-1-1-1-1-2-21111-2-21111-211-1000000000
χ142222-122-1-1-1-2-2-1-1111122-12-1-12-1-12-1-12-12-1-1-1-122-1-111-2-21111-2-211-211-1000000000
χ152222-122-1-1-1-2-2-1-1111122-1-12-1-12-1-12-1-122-1-1-1-1-1-1221111-2-21111-2-2-211-1000000000
χ162222-1-2-2-1-1-10011−i3−i3i3i3222-1-12-1-12-1-12-1-1-2-1-1-2-2111100−i3−i3i3i300i3i3−i3−i30−i3i31000000000
χ172222-1-2-2-1-1-10011−i3−i3i3i322-12-1-12-1-12-1-12-1-2-1-111-2-211i3i300−i3−i3−i3−i300i3i30−i3i31000000000
χ182222-1-2-2-1-1-10011−i3−i3i3i322-1-12-1-12-1-12-1-12-2-1-11111-2-2−i3−i3i3i300i3i3−i3−i3000−i3i31000000000
χ192222-1-2-2-1-1-10011i3i3−i3−i3222-1-12-1-12-1-12-1-1-2-1-1-2-2111100i3i3−i3−i300−i3−i3i3i30i3−i31000000000
χ202222-1-2-2-1-1-10011i3i3−i3−i322-12-1-12-1-12-1-12-1-2-1-111-2-211−i3−i300i3i3i3i300−i3−i30i3−i31000000000
χ212222-1-2-2-1-1-10011i3i3−i3−i322-1-12-1-12-1-12-1-12-2-1-11111-2-2i3i3−i3−i300−i3−i3i3i3000i3−i31000000000
χ2222-2-22-222-2-22i−2i2-22i−2i2i−2i00-1-1-1111-1-1-11110001-11-11-1i−ii−ii−ii−ii−ii−i0000−i2−i2i2i2002−20
χ2322-2-22-222-2-22i−2i2-22i−2i2i−2i00-1-1-1111-1-1-11110001-11-11-1i−ii−ii−ii−ii−ii−i0000i2i2−i2−i200−220
χ2422-2-22-222-2-2−2i2i2-2−2i2i−2i2i00-1-1-1111-1-1-11110001-11-11-1−ii−ii−ii−ii−ii−ii0000−i2−i2i2i200−220
χ2522-2-22-222-2-2−2i2i2-2−2i2i−2i2i00-1-1-1111-1-1-11110001-11-11-1−ii−ii−ii−ii−ii−ii0000i2i2−i2−i2002−20
χ262-22-2200-2-22000000002-2222-2-2-2-2-2-222202-20000000000000000000000−i2i2−i2i2−i2i2000
χ272-22-2200-2-22000000002-2222-2-2-2-2-2-222202-20000000000000000000000i2−i2i2−i2i2−i2000
χ28333333333333333333-1-1000000000000-1-1-1000000000000000000-1-1-1-11111-1-111-1
χ29333333333333333333-1-1000000000000-1-1-1000000000000000000-1-1-1-1-1-1-1-111-1-11
χ303333333333-3-333-3-3-3-3-1-1000000000000-1-1-1000000000000000000111-11111-1-1-1-11
χ313333333333-3-333-3-3-3-3-1-1000000000000-1-1-1000000000000000000111-1-1-1-1-11111-1
χ3244-4-444-44-4-400-44000000111-1-1-1111-1-1-10001-11-11-13−33−33−3−33−33−330000000000000
χ3344-4-444-44-4-400-44000000111-1-1-1111-1-1-10001-11-11-1−33−33−333−33−33−30000000000000
χ3444-4-444-44-4-400-44000000-2-2-2222-2-2-2222000-22-22-220000000000000000000000000
χ3544-4-44-444-4-44i−4i4-44i−4i4i−4i00111-1-1-1111-1-1-1000-11-11-11−ii−ii−ii−ii−ii−ii0000000000000
χ3644-4-44-444-4-4−4i4i4-4−4i4i−4i4i00111-1-1-1111-1-1-1000-11-11-11i−ii−ii−ii−ii−ii−i0000000000000
χ3744-4-4-24-4-222002-223−23−23230011-2-1-1211-2-1-120001-11-1-223−3−3300−333−3000000000000000
χ3844-4-4-24-4-222002-223−23−2323001-21-12-11-21-12-10001-1-221-1−33003−33−300−330000000000000
χ3944-4-4-24-4-222002-223−23−232300-2112-1-1-2112-1-1000-221-11-1003−3−3300−333−30000000000000
χ4044-4-4-24-4-222002-2−232323−230011-2-1-1211-2-1-120001-11-1-22−333−3003−3−33000000000000000
χ4144-4-4-24-4-222002-2−232323−23001-21-12-11-21-12-10001-1-221-13−300−33−33003−30000000000000
χ4244-4-4-24-4-222002-2−232323−2300-2112-1-1-2112-1-1000-221-11-100−333−3003−3−330000000000000
χ4344-4-4-2-44-2224i−4i-22−2i2i−2i2i0011-2-1-1211-2-1-12000-11-112-2−ii−ii2i−2i−ii−ii2i−2i0000000000000
χ4444-4-4-2-44-2224i−4i-22−2i2i−2i2i001-21-12-11-21-12-1000-112-2-11−ii2i−2i−ii−ii2i−2i−ii0000000000000
χ4544-4-4-2-44-2224i−4i-22−2i2i−2i2i00-2112-1-1-2112-1-10002-2-11-112i−2i−ii−ii2i−2i−ii−ii0000000000000
χ4644-4-4-2-44-222−4i4i-222i−2i2i−2i0011-2-1-1211-2-1-12000-11-112-2i−ii−i−2i2ii−ii−i−2i2i0000000000000
χ4744-4-4-2-44-222−4i4i-222i−2i2i−2i001-21-12-11-21-12-1000-112-2-11i−i−2i2ii−ii−i−2i2ii−i0000000000000
χ4844-4-4-2-44-222−4i4i-222i−2i2i−2i00-2112-1-1-2112-1-10002-2-11-11−2i2ii−ii−i−2i2ii−ii−i0000000000000
χ494-44-4400-4-44000000004-4-2-2-2222222-2-2-204-40000000000000000000000000000000
χ504-44-4-20022-2000000004-44-2-2-422-4224-2-20-220000000000000000000000000000000
χ514-44-4-20022-2000000004-4-24-22-422-42-24-20-220000000000000000000000000000000
χ524-44-4-20022-2000000004-4-2-2422-422-4-2-240-220000000000000000000000000000000
χ534-4-44400-44-40000000000-2-2-2-2-2-222222200000000000000000000000002-2-2200000
χ544-4-44400-44-40000000000-2-2-2-2-2-22222220000000000000000000000000-222-200000
χ5566666-6-666600-6-60000-2-20000000000002-2-20000000000000000000002000000000
χ566666-366-3-3-366-3-3-3-3-3-3-2-2000000000000-211000000000000000000-2111000000000
χ576666-366-3-3-3-6-6-3-33333-2-2000000000000-2110000000000000000002-1-11000000000
χ586666-3-6-6-3-3-30033−3i3−3i33i33i3-2-20000000000002110000000000000000000i3−i3-1000000000
χ596666-3-6-6-3-3-300333i33i3−3i3−3i3-2-20000000000002110000000000000000000−i3i3-1000000000
χ606-66-6600-6-6600000000-220000000000000-220000000000000000000000−i2i2−i2i2i2−i2000
χ616-66-6600-6-6600000000-220000000000000-220000000000000000000000i2−i2i2−i2−i2i2000
χ628-8-88800-88-80000000000222222-2-2-2-2-2-20000000000000000000000000000000000
χ638-8-88-4004-44000000000022-422-4-2-24-2-240000000000000000000000000000000000
χ648-8-88-4004-4400000000002-422-42-24-2-24-20000000000000000000000000000000000
χ658-8-88-4004-440000000000-422-4224-2-24-2-20000000000000000000000000000000000
χ6612-1212-12-60066-600000000-4400000000000002-20000000000000000000000000000000

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