Finite Group Databasebeta

← Group #11789875

Character table — Group #11789875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ911-11-1-1-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11-11-1i−ii−i1-111-1-1ii−i−i11-1-1ii−i−ii−iii−i−i11-1-1
χ1011-11-1-1-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11-11-1−iii−i-1111-1-1−i−iii-1-111ii−i−ii−i−i−iii-1-111
χ1111-11-1-1-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11-1-11i−i−ii1-1-1-111ii−i−i11-1-1−i−iiii−i−i−iii-1-111
χ1211-11-1-1-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11-1-11−ii−ii-11-1-111−i−iii-1-111−i−iiii−iii−i−i11-1-1
χ1311-11-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii1-11-11-1i−i−ii-1111-1-1ii−i−i-1-111−i−iii−iiii−i−i-1-111
χ1411-11-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii1-11-11-1−ii−ii1-111-1-1−i−iii11-1-1−i−iii−ii−i−iii11-1-1
χ1511-11-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii1-11-1-11i−ii−i-11-1-111ii−i−i-1-111ii−i−i−ii−i−iii11-1-1
χ1611-11-1-1-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii1-11-1-11−iii−i1-1-1-111−i−iii11-1-1ii−i−i−iiii−i−i-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1922-22-2-2-22222i−2i2222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i-22-22000000000000000000000000−2i2i00000000
χ2022-22-2-2-2222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000002i−2i00000000
χ212-22-22-2-2222002-2-2-2222-2-2-22-22-2000000002-2-220000000000000000000000000000002i−2i2i−2i
χ222-22-22-2-2222002-2-2-2222-2-2-22-22-2000000002-2-22000000000000000000000000000000−2i2i−2i2i
χ232-22-22-2-2222002-2-2-2222-2-2-22-22-200000000-222-2000000000000000000000000002i−2i2i−2i0000
χ242-22-22-2-2222002-2-2-2222-2-2-22-22-200000000-222-200000000000000000000000000−2i2i−2i2i0000
χ252-2-2-2-222222002-2-2-2-2-2-22222-2-220000000022-2-20000000000000000000000000000002i−2i−2i2i
χ262-2-2-2-222222002-2-2-2-2-2-22222-2-220000000022-2-2000000000000000000000000000000−2i2i2i−2i
χ272-2-2-2-222222002-2-2-2-2-2-22222-2-2200000000-2-222000000000000000000000000002-2-220000
χ282-2-2-2-222222002-2-2-2-2-2-22222-2-2200000000-2-22200000000000000000000000000-222-20000
χ29444444441-24411-2-211-21-2-2-21-21-2-2-2-21111000022002200-1-1-1-100000000-1-1-1-10000000000
χ30444444441-24411-2-211-21-2-2-21-21-2-2-2-211110000-2-200-2-20011110000000011110000000000
χ31444444441-2-4-411-2-211-21-2-2-21-212222-1-1-1-100002200-2-200-1-1-1-10000000011110000000000
χ32444444441-2-4-411-2-211-21-2-2-21-212222-1-1-1-10000-2-2002200111100000000-1-1-1-10000000000
χ3344444444-2144-2-211-2-21-2111-21-21111-2-2-2-20000002200220000-1-1-1-1-1-1-1-100000000000000
χ3444444444-2144-2-211-2-21-2111-21-21111-2-2-2-2000000-2-200-2-200001111111100000000000000
χ3544444444-21-4-4-2-211-2-21-2111-21-2-1-1-1-122220000002200-2-20000-1-1-1-1111100000000000000
χ3644444444-21-4-4-2-211-2-21-2111-21-2-1-1-1-12222000000-2-2002200001111-1-1-1-100000000000000
χ37444-4-44-4-44400-444-44-44-4-44-4-4-440000000000000000000000000000000000000000000000
χ38444-4-44-4-4-21002-21-1-2212-11-12-1-23-33-3000000000000000000003−33−33−33−300000000000000
χ39444-4-44-4-4-21002-21-1-2212-11-12-1-23-33-300000000000000000000−33−33−33−3300000000000000
χ40444-4-44-4-4-21002-21-1-2212-11-12-1-2-33-33000000000000000000003−33−3−33−3300000000000000
χ41444-4-44-4-4-21002-21-1-2212-11-12-1-2-33-3300000000000000000000−33−333−33−300000000000000
χ4244-44-4-4-441-24i−4i11-2-2-1-12-122-212-1−2i−2i2i2iii−i−i00002-2002i−2i00-1-11100000000−i−iii0000000000
χ4344-44-4-4-441-24i−4i11-2-2-1-12-122-212-1−2i−2i2i2iii−i−i0000-2200−2i2i0011-1-100000000ii−i−i0000000000
χ4444-44-4-4-441-2−4i4i11-2-2-1-12-122-212-12i2i−2i−2i−i−iii00002-200−2i2i00-1-11100000000ii−i−i0000000000
χ4544-44-4-4-441-2−4i4i11-2-2-1-12-122-212-12i2i−2i−2i−i−iii0000-22002i−2i0011-1-100000000−i−iii0000000000
χ4644-44-4-4-44-214i−4i-2-21122-12-1-11-2-12ii−i−i−2i−2i2i2i0000002i−2i002-20000−i−iii-1-11100000000000000
χ4744-44-4-4-44-214i−4i-2-21122-12-1-11-2-12ii−i−i−2i−2i2i2i000000−2i2i00-220000ii−i−i11-1-100000000000000
χ4844-44-4-4-44-21−4i4i-2-21122-12-1-11-2-12−i−iii2i2i−2i−2i0000002i−2i00-220000−i−iii11-1-100000000000000
χ4944-44-4-4-44-21−4i4i-2-21122-12-1-11-2-12−i−iii2i2i−2i−2i000000−2i2i002-20000ii−i−i-1-11100000000000000
χ5044-4-44-44-44400-444-4-44-444-4-4-44-40000000000000000000000000000000000000000000000
χ5144-4-44-44-4-21002-21-12-2-1-21-1-12123i−3i−3i3i00000000000000000000−i3i3i3−i3−333−300000000000000
χ5244-4-44-44-4-21002-21-12-2-1-21-1-12123i−3i−3i3i00000000000000000000i3−i3−i3i33−3−3300000000000000
χ5344-4-44-44-4-21002-21-12-2-1-21-1-1212−3i3i3i−3i00000000000000000000−i3i3i3−i33−3−3300000000000000
χ5444-4-44-44-4-21002-21-12-2-1-21-1-1212−3i3i3i−3i00000000000000000000i3−i3−i3i3−333−300000000000000
χ554-444-4-44-41-200-1-12-21-1-21-22212-100003i−3i3i−3i000000000000−i3i3−i3i3000000003−33−30000000000
χ564-444-4-44-41-200-1-12-21-1-21-22212-100003i−3i3i−3i000000000000i3−i3i3−i300000000−33−330000000000
χ574-444-4-44-41-200-1-12-21-1-21-22212-10000−3i3i−3i3i000000000000−i3i3−i3i300000000−33−330000000000
χ584-444-4-44-41-200-1-12-21-1-21-22212-10000−3i3i−3i3i000000000000i3−i3i3−i3000000003−33−30000000000
χ594-444-4-44-44400-4-4-444-4444-4-44-4-40000000000000000000000000000000000000000000000
χ604-4-4444-4-41-200-1-12-2-112-12-221-2100003-3-33000000000000−i3i3i3−i300000000−i3i3i3−i30000000000
χ614-4-4444-4-41-200-1-12-2-112-12-221-2100003-3-33000000000000i3−i3−i3i300000000i3−i3−i3i30000000000
χ624-4-4444-4-41-200-1-12-2-112-12-221-210000-333-3000000000000−i3i3i3−i300000000i3−i3−i3i30000000000
χ634-4-4444-4-41-200-1-12-2-112-12-221-210000-333-3000000000000i3−i3−i3i300000000−i3i3i3−i30000000000
χ644-4-4444-4-44400-4-4-44-44-4-4-44-44440000000000000000000000000000000000000000000000
χ65888-8-88-8-82-400-22-442-2-4-24-44-2420000000000000000000000000000000000000000000000
χ6688-8-88-88-82-400-22-44-2242-444-2-4-20000000000000000000000000000000000000000000000
χ678-888-8-88-8-420044-22-442-42-2-2-4-240000000000000000000000000000000000000000000000
χ688-88-88-8-882-4002-24422-4-244-4-2-4-20000000000000000000000000000000000000000000000
χ698-88-88-8-88-4200-44-2-2-4-424-2-224240000000000000000000000000000000000000000000000
χ708-8-8888-8-8-420044-224-4-24-22-2-42-40000000000000000000000000000000000000000000000
χ718-8-8-8-88882-4002-244-2-242-4-4-4-2420000000000000000000000000000000000000000000000
χ728-8-8-8-8888-4200-44-2-244-2-42224-2-40000000000000000000000000000000000000000000000

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