Finite Group Databasebeta

← Group #11789166

Character table — Group #11789166

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-111-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1ii−i−i1-11-1i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ101-111-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1ii−i−i1-1-11−ii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii
χ111-111-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-111−i−iii1-1ii−i−i1-11-1i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii
χ121-111-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-111−i−iii1-1ii−i−i1-1-11−ii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i
χ131-111-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−i−iii1-11-1−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii
χ141-111-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−i−iii1-1-11i−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i
χ151-111-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii-1-111ii−i−i1-1−i−iii1-11-1−ii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i
χ161-111-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii-1-111ii−i−i1-1−i−iii1-1-11i−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ19222-2-22-2-222002-2-2-222-2-2-222-2-220000000000000000002i−2i2i−2i0000000000000000000000−i2i2−i2i22−22−2
χ20222-2-22-2-222002-2-2-222-2-2-222-2-220000000000000000002i−2i2i−2i0000000000000000000000i2−i2i2−i2−22−22
χ21222-2-22-2-222002-2-2-222-2-2-222-2-22000000000000000000−2i2i−2i2i0000000000000000000000−i2i2−i2i2−22−22
χ22222-2-22-2-222002-2-2-222-2-2-222-2-22000000000000000000−2i2i−2i2i0000000000000000000000i2−i2i2−i22−22−2
χ2322-2-22-22-22200-222-2222-2-2-2-2-22-20000000000002-22-2220000-2-2000000002-22-20000000000000000
χ2422-2-22-22-22200-222-2222-2-2-2-2-22-2000000000000-22-22220000-2-200000000-22-220000000000000000
χ2522-2-22-22-22200-222-2222-2-2-2-2-22-2000000002i−2i2i−2i0000-2-200002200002i−2i2i−2i00000000000000000000
χ2622-2-22-22-22200-222-2222-2-2-2-2-22-200000000−2i2i−2i2i0000-2-20000220000−2i2i−2i2i00000000000000000000
χ272-222-2-22-2222i−2i2222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ282-222-2-22-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ292-22-22-2-2222002-2-2-2-2-2222-22-22-20000000000000000002-2-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ302-22-22-2-2222002-2-2-2-2-2222-22-22-20000000000000000002-2-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ312-22-22-2-2222002-2-2-2-2-2222-22-22-2000000000000000000-222-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ322-22-22-2-2222002-2-2-2-2-2222-22-22-2000000000000000000-222-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ332-2-2-2-22222200-222-2-2-2-2222-2-2-220000000000002i−2i−2i2i2-20000-22000000002i−2i−2i2i0000000000000000
χ342-2-2-2-22222200-222-2-2-2-2222-2-2-22000000000000−2i2i2i−2i2-20000-2200000000−2i2i2i−2i0000000000000000
χ352-2-2-2-22222200-222-2-2-2-2222-2-2-22000000002i−2i−2i2i0000-2200002-200002i−2i−2i2i00000000000000000000
χ362-2-2-2-22222200-222-2-2-2-2222-2-2-2200000000−2i2i2i−2i0000-2200002-20000−2i2i2i−2i00000000000000000000
χ37444444441-24411-2-21-211-2-2-21-21-2-2-2-211110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-24411-2-21-211-2-2-21-21-2-2-2-211110000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-411-2-21-211-2-2-21-212222-1-1-1-1000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-411-2-21-211-2-2-21-212222-1-1-1-10000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-2-211-21-2-2111-21-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-2-211-21-2-2111-21-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-2-211-21-2-2111-21-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-2-211-21-2-2111-21-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ4544-44-4-4-441-200-1-12-21-2-11-22212-100003i−3i3i−3i0000000000000000000000000000−i3i3−i3i33−33−300000000
χ4644-44-4-4-441-200-1-12-21-2-11-22212-100003i−3i3i−3i0000000000000000000000000000i3−i3i3−i3−33−3300000000
χ4744-44-4-4-441-200-1-12-21-2-11-22212-10000−3i3i−3i3i0000000000000000000000000000−i3i3−i3i3−33−3300000000
χ4844-44-4-4-441-200-1-12-21-2-11-22212-10000−3i3i−3i3i0000000000000000000000000000i3−i3i3−i33−33−300000000
χ4944-44-4-4-444400-4-4-4444-444-4-44-4-40000000000000000000000000000000000000000000000000000
χ5044-4-44-44-4-21002-21-1-21-22-1-1-12123i−3i3i−3i00002i−2i2i−2i2-22-2000000000000−ii−ii-11-110000000000000000
χ5144-4-44-44-4-21002-21-1-21-22-1-1-12123i−3i3i−3i0000−2i2i−2i2i-22-22000000000000i−ii−i1-11-10000000000000000
χ5244-4-44-44-4-21002-21-1-21-22-1-1-1212−3i3i−3i3i00002i−2i2i−2i-22-22000000000000−ii−ii1-11-10000000000000000
χ5344-4-44-44-4-21002-21-1-21-22-1-1-1212−3i3i−3i3i0000−2i2i−2i2i2-22-2000000000000i−ii−i-11-110000000000000000
χ544-444-4-44-41-24i−4i11-2-2-12-1-122-212-1−2i−2i2i2iii−i−i00000000000000002-22i−2i00000000-1-111−i−iii00000000
χ554-444-4-44-41-24i−4i11-2-2-12-1-122-212-1−2i−2i2i2iii−i−i0000000000000000-22−2i2i0000000011-1-1ii−i−i00000000
χ564-444-4-44-41-2−4i4i11-2-2-12-1-122-212-12i2i−2i−2i−i−iii00000000000000002-2−2i2i00000000-1-111ii−i−i00000000
χ574-444-4-44-41-2−4i4i11-2-2-12-1-122-212-12i2i−2i−2i−i−iii0000000000000000-222i−2i0000000011-1-1−i−iii00000000
χ584-444-4-44-4-214i−4i-2-2112-122-1-11-2-12ii−i−i−2i−2i2i2i22-2-22i2i−2i−2i000000000000-1-111−i−iii0000000000000000
χ594-444-4-44-4-214i−4i-2-2112-122-1-11-2-12ii−i−i−2i−2i2i2i-2-222−2i−2i2i2i00000000000011-1-1ii−i−i0000000000000000
χ604-444-4-44-4-21−4i4i-2-2112-122-1-11-2-12−i−iii2i2i−2i−2i22-2-2−2i−2i2i2i000000000000-1-111ii−i−i0000000000000000
χ614-444-4-44-4-21−4i4i-2-2112-122-1-11-2-12−i−iii2i2i−2i−2i-2-2222i2i−2i−2i00000000000011-1-1−i−iii0000000000000000
χ624-4-4444-4-41-200-1-12-2-121-12-221-2100003-3-330000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ634-4-4444-4-41-200-1-12-2-121-12-221-2100003-3-330000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ644-4-4444-4-41-200-1-12-2-121-12-221-210000-333-30000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ654-4-4444-4-41-200-1-12-2-121-12-221-210000-333-30000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ664-4-4444-4-44400-4-4-44-4-44-4-44-44440000000000000000000000000000000000000000000000000000
χ674-4-4-4-4444-21002-21-12-12-211-12-1-23-3-3300002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000000000
χ684-4-4-4-4444-21002-21-12-12-211-12-1-23-3-330000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000000000
χ694-4-4-4-4444-21002-21-12-12-211-12-1-2-333-300002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000000000
χ704-4-4-4-4444-21002-21-12-12-211-12-1-2-333-30000−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000000000
χ71888-8-88-8-82-4002-2442-4-2-24-4-4-2420000000000000000000000000000000000000000000000000000
χ72888-8-88-8-8-4200-44-2-2-4244-2224-2-40000000000000000000000000000000000000000000000000000
χ7388-88-8-8-88-420044-22-424-42-2-2-4-240000000000000000000000000000000000000000000000000000
χ7488-8-88-88-82-400-22-442-42-2444-2-4-20000000000000000000000000000000000000000000000000000
χ758-88-88-8-882-4002-244-2422-44-4-2-4-20000000000000000000000000000000000000000000000000000
χ768-88-88-8-88-4200-44-2-24-2-4-42-224240000000000000000000000000000000000000000000000000000
χ778-8-8888-8-8-420044-224-2-44-22-2-42-40000000000000000000000000000000000000000000000000000
χ788-8-8-8-88882-400-22-44-24-22-4-44-2420000000000000000000000000000000000000000000000000000

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