Finite Group Databasebeta

← Group #11789921

Character table — Group #11789921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222222334466666666666666121212121212121244442244444466661212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-11-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i1-11-11-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−ii−i11-1-1ii−i−i
χ1011-1-11-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i1-11-11-1i−i-11−ii11-1-1ii−i−i-1-111−i−iiii−i-1-111−i−iii
χ1111-1-11-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i1-11-1-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−ii−i-1-111−i−iii
χ1211-1-11-11-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i1-11-1-11−ii-11−ii-1-111−i−iii-1-111−i−iiii−i11-1-1ii−i−i
χ1311-1-11-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-11-11-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii−ii11-1-1−i−iii
χ1411-1-11-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-11-11-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i−ii-1-111ii−i−i
χ1511-1-11-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-11-1-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii−ii-1-111ii−i−i
χ1611-1-11-11-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-11-1-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i−ii11-1-1−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1922-2-22-22-2222i−2i22-2-2222-2-2-2-22-2-22i2i2i2i−2i−2i−2i−2i-22-22000000000000000000000000−2i2i00000000
χ2022-2-22-22-222−2i2i22-2-2222-2-2-2-22-2-2−2i−2i−2i−2i2i2i2i2i-22-220000000000000000000000002i−2i00000000
χ212-22-2-222-222002-2222-2-22-2-2-2-2-22000000002-2-22000000000000000000000000002i−2i2i−2i0000
χ222-22-2-222-222002-2222-2-22-2-2-2-2-22000000002-2-2200000000000000000000000000−2i2i−2i2i0000
χ232-22-2-222-222002-2222-2-22-2-2-2-2-2200000000-222-20000000000000000000000000000002i−2i2i−2i
χ242-22-2-222-222002-2222-2-22-2-2-2-2-2200000000-222-2000000000000000000000000000000−2i2i−2i2i
χ252-2-22-2-22222002-2-2-22-2-2-2222-22-20000000022-2-2000000000000000000000000002i−2i−2i2i0000
χ262-2-22-2-22222002-2-2-22-2-2-2222-22-20000000022-2-200000000000000000000000000−2i2i2i−2i0000
χ272-2-22-2-22222002-2-2-22-2-2-2222-22-200000000-2-2220000000000000000000000000000002-2-22
χ282-2-22-2-22222002-2-2-22-2-2-2222-22-200000000-2-222000000000000000000000000000000-222-2
χ29444444441-2441111-2-2-2-2-21-211-211-2-211-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ30444444441-2441111-2-2-2-2-21-211-211-2-211-2-200000000-2-2-2-200000000111111110000000000
χ31444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-1220000000022-2-200000000-1-1-1-111110000000000
χ32444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-12200000000-2-222000000001111-1-1-1-10000000000
χ3344444444-2144-2-2-2-211111-21-2-21-2-211-2-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3444444444-2144-2-2-2-211111-21-2-21-2-211-2-2110000-2-2-2-2000011111111000000000000000000
χ3544444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-1000022-2-20000-1-1-1-11111000000000000000000
χ3644444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-10000-2-22200001111-1-1-1-1000000000000000000
χ374444-4-4-4-41-200-111-122-2-221-2-1-123-3003-300000000000000000000003−33−33−33−30000000000
χ384444-4-4-4-41-200-111-122-2-221-2-1-123-3003-30000000000000000000000−33−33−33−330000000000
χ394444-4-4-4-41-200-111-122-2-221-2-1-12-3300-3300000000000000000000003−33−3−33−330000000000
χ404444-4-4-4-41-200-111-122-2-221-2-1-12-3300-330000000000000000000000−33−333−33−30000000000
χ414444-4-4-4-44400-444-4-4-444-444-4-4-40000000000000000000000000000000000000000000000
χ4244-4-44-44-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i000000002-22i−2i00000000-1-111−i−iii0000000000
χ4344-4-44-44-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i00000000-22−2i2i0000000011-1-1ii−i−i0000000000
χ4444-4-44-44-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i000000002-2−2i2i00000000-1-111ii−i−i0000000000
χ4544-4-44-44-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i00000000-222i−2i0000000011-1-1−i−iii0000000000
χ4644-4-44-44-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i00002-22i−2i0000-1-111−i−iii000000000000000000
χ4744-4-44-44-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i0000-22−2i2i000011-1-1ii−i−i000000000000000000
χ4844-4-44-44-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii00002-2−2i2i0000-1-111ii−i−i000000000000000000
χ4944-4-44-44-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii0000-222i−2i000011-1-1−i−iii000000000000000000
χ5044-4-4-44-441-200-11-1122-22-2-12-11-23i−3i00−3i3i00000000000000000000003−3−33i3−i3−i3i30000000000
χ5144-4-4-44-441-200-11-1122-22-2-12-11-23i−3i00−3i3i0000000000000000000000−333−3−i3i3i3−i30000000000
χ5244-4-4-44-441-200-11-1122-22-2-12-11-2−3i3i003i−3i00000000000000000000003−3−33−i3i3i3−i30000000000
χ5344-4-4-44-441-200-11-1122-22-2-12-11-2−3i3i003i−3i0000000000000000000000−333−3i3−i3−i3i30000000000
χ5444-4-4-44-444400-44-44-4-44-44-4-4-4440000000000000000000000000000000000000000000000
χ554-44-44-4-444400-4-44-4-44-444-4-444-40000000000000000000000000000000000000000000000
χ564-44-44-4-44-210022-22-11-1112-1-2-2-1003i−3i003i−3i000000000000−i3i3−i3i33−33−3000000000000000000
χ574-44-44-4-44-210022-22-11-1112-1-2-2-1003i−3i003i−3i000000000000i3−i3i3−i3−33−33000000000000000000
χ584-44-44-4-44-210022-22-11-1112-1-2-2-100−3i3i00−3i3i000000000000−i3i3−i3i3−33−33000000000000000000
χ594-44-44-4-44-210022-22-11-1112-1-2-2-100−3i3i00−3i3i000000000000i3−i3i3−i33−33−3000000000000000000
χ604-4-4444-4-44400-4-4-44-44-4-4-4444-440000000000000000000000000000000000000000000000
χ614-4-4444-4-4-2100222-2-11-1-1-1-21-221003-300-33000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ624-4-4444-4-4-2100222-2-11-1-1-1-21-221003-300-33000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ634-4-4444-4-4-2100222-2-11-1-1-1-21-22100-33003-3000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ644-4-4444-4-4-2100222-2-11-1-1-1-21-22100-33003-3000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ658888-8-8-8-8-42004-4-44-2-222-2-4244-20000000000000000000000000000000000000000000000
χ6688-8-8-88-88-42004-44-4-2-22-224-24-420000000000000000000000000000000000000000000000
χ678-88-88-8-882-400-2-22-24-44-4-4-242240000000000000000000000000000000000000000000000
χ688-88-8-888-82-4002-222-444-44-24-2-2-40000000000000000000000000000000000000000000000
χ698-88-8-888-8-4200-44-4-42-2-22-24-24420000000000000000000000000000000000000000000000
χ708-8-8888-8-82-400-2-2-224-44442-42-2-40000000000000000000000000000000000000000000000
χ718-8-88-8-8882-4002-2-2-2-4444-42-4-2240000000000000000000000000000000000000000000000
χ728-8-88-8-888-4200-44442-2-2-22-424-4-20000000000000000000000000000000000000000000000

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