Finite Group Databasebeta

← Group #11770924

Character table — Group #11770924

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222244443366666666661212121266121212121212444444448888121212121212121224242424242424244488888888
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
χ5111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1iiii−i−i−i−i
χ6111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−i−i−i−iiiii
χ7111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−i−i−i−iiiii
χ8111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1iiii−i−i−i−i
χ91111-1-111-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-1
χ101111-1-111-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-1-1-111-1-111
χ111111-1-111-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-1-1-111-1-111
χ121111-1-111-1-1111111-1-1-111-1-1-1-1-1-1-11111-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-1
χ131111-1-1-1-111111111-1-1-111-11111-1-1-1-1-1-11111-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11−i−iiiii−i−i
χ141111-1-1-1-111111111-1-1-111-11111-1-1-1-1-1-11111-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11ii−i−i−i−iii
χ151111-1-1-1-111111111-1-1-111-11111-1-1-1-1-1-11111-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11ii−i−i−i−iii
χ161111-1-1-1-111111111-1-1-111-11111-1-1-1-1-1-11111-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11−i−iiiii−i−i
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-222000000000000000000000000-2200000000
χ192222-2-222-2-2222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000002200000000
χ202222-2-2-2-222222222-2-2-222-22222-2-2-2-2-2-222-2-2220000000000000000000000002-200000000
χ2122-2-22-22-22-222-2-2-2-222-222-222-2-22-222-2-22-20000000000000000000000000000002−22−22−22−2
χ2222-2-22-22-22-222-2-2-2-222-222-222-2-22-222-2-22-2000000000000000000000000000000−22−22−22−22
χ2322-2-22-2-22-2222-2-2-2-222-222-2-2-2222-2-2-222-22000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2422-2-22-2-22-2222-2-2-2-222-222-2-2-2222-2-2-222-22000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2522-2-2-222-2-2222-2-2-2-2-2-22222-2-222-2222-2-2-220000000000000000000000000000002−2−222−2−22
χ2622-2-2-222-2-2222-2-2-2-2-2-22222-2-222-2222-2-2-22000000000000000000000000000000−222−2−222−2
χ2722-2-2-22-222-222-2-2-2-2-2-2222222-2-2-22-2-2222-2000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2822-2-2-22-222-222-2-2-2-2-2-2222222-2-2-22-2-2222-2000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ2944444444441-211-2-21111-21-2-2-2-2-2-21-21-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-211-2-21111-21-2-2-2-2-2-21-21-2110000-2-2-2-2000011111111000000000000000000
χ314444444444-21-2-211-2-2-2-21-2111111-21-21-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ324444444444-21-2-211-2-2-2-21-2111111-21-21-2-200000000-2-2-2-200000000111111110000000000
χ33444444-4-4-4-41-211-2-21111-212222-2-2-12-12-1-1000022-2-20000-1-1-1-11111000000000000000000
χ34444444-4-4-4-41-211-2-21111-212222-2-2-12-12-1-10000-2-22200001111-1-1-1-1000000000000000000
χ35444444-4-4-4-4-21-2-211-2-2-2-21-2-1-1-1-1112-12-122000000002i2i−2i−2i00000000−i−i−i−iiiii0000000000
χ36444444-4-4-4-4-21-2-211-2-2-2-21-2-1-1-1-1112-12-12200000000−2i−2i2i2i00000000iiii−i−i−i−i0000000000
χ374444-4-444-4-41-211-2-2-1-1-11-2-12222221-21-2-1-100002i−2i2i−2i0000−i−iii−i−iii000000000000000000
χ384444-4-444-4-41-211-2-2-1-1-11-2-12222221-21-2-1-10000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000
χ394444-4-444-4-4-21-2-211222-212-1-1-1-1-1-1-21-2122000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ404444-4-444-4-4-21-2-211222-212-1-1-1-1-1-1-21-212200000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ414444-4-4-4-4441-211-2-2-1-1-11-2-1-2-2-2-222-12-121100002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ424444-4-4-4-4441-211-2-2-1-1-11-2-1-2-2-2-222-12-12110000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ434444-4-4-4-444-21-2-211222-2121111-1-12-12-1-2-2000000002-2-2200000000-1-11111-1-10000000000
χ444444-4-4-4-444-21-2-211222-2121111-1-12-12-1-2-200000000-222-20000000011-1-1-1-1110000000000
χ4544-4-44-44-44-41-2-1-12211-11-2-1-2-222-221-2-121-10000000000003−33−33−33−3000000000000000000
χ4644-4-44-44-44-41-2-1-12211-11-2-1-2-222-221-2-121-1000000000000−33−33−33−33000000000000000000
χ4744-4-44-44-44-4-2122-1-1-2-22-21211-1-11-1-212-1-22000000000000000000003−33−33−33−30000000000
χ4844-4-44-44-44-4-2122-1-1-2-22-21211-1-11-1-212-1-2200000000000000000000−33−33−33−330000000000
χ4944-4-44-4-44-441-2-1-12211-11-2-122-2-2-22-121-2-110000000000003−33−3−33−33000000000000000000
χ5044-4-44-4-44-441-2-1-12211-11-2-122-2-2-22-121-2-11000000000000−33−333−33−3000000000000000000
χ5144-4-44-4-44-44-2122-1-1-2-22-212-1-1111-12-1-212-200000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ5244-4-44-4-44-44-2122-1-1-2-22-212-1-1111-12-1-212-200000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ5344-4-4-444-4-441-2-1-122-1-111-2122-2-22-21-2-12-11000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ5444-4-4-444-4-441-2-1-122-1-111-2122-2-22-21-2-12-11000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ5544-4-4-444-4-44-2122-1-122-2-21-2-1-111-11-212-12-200000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ5644-4-4-444-4-44-2122-1-122-2-21-2-1-111-11-212-12-200000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ5744-4-4-44-444-41-2-1-122-1-111-21-2-2222-2-121-21-1000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ5844-4-4-44-444-41-2-1-122-1-111-21-2-2222-2-121-21-1000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ5944-4-4-44-444-4-2122-1-122-2-21-211-1-1-112-1-21-22000000000000000000003−3−33−333−30000000000
χ6044-4-4-44-444-4-2122-1-122-2-21-211-1-1-112-1-21-2200000000000000000000−333−33−3−330000000000
χ614-44-4000000444-44-4000-4-40000000000000004i−4i0000000000000000000000000000000000
χ624-44-4000000444-44-4000-4-4000000000000000−4i4i0000000000000000000000000000000000
χ634-4-4400000044-44-44000-4-400000000000004i−4i000000000000000000000000000000000000
χ644-4-4400000044-44-44000-4-40000000000000−4i4i000000000000000000000000000000000000
χ658-88-80000002-42-2-446-66-24-600000000000000000000000000000000000000000000000000
χ668-88-80000002-42-2-44-66-6-24600000000000000000000000000000000000000000000000000
χ678-88-8000000-42-442-20004-206i−6i6i−6i0000000000000000000000000000000000000000000000
χ688-88-8000000-42-442-20004-20−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-224-46-6-6-24600000000000000000000000000000000000000000000000000
χ708-8-880000002-4-224-4-666-24-600000000000000000000000000000000000000000000000000
χ718-8-88000000-424-4-220004-206i−6i−6i6i0000000000000000000000000000000000000000000000
χ728-8-88000000-424-4-220004-20−6i6i6i−6i0000000000000000000000000000000000000000000000

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