Finite Group Databasebeta

← Group #11774669

Character table — Group #11774669

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order122244443346666661212121212121212121212121212121244442244444488888888444466121212121212242424242424242428888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1ii−i−i
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii1−i−iii
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i1−i−iii
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii1ii−i−i
χ91111-1-11111-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-1
χ101111-1-11111-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-11-11
χ111111-1-11111-1111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11-11
χ121111-1-11111-1111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-11-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111ii−i−i−i−iii-1i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111−i−iiiii−i−i-1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111-1-11111-1-1ii−i−i−i−iii-1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111-1-11111-1-1−i−iiiii−i−i-1i−i−ii
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-222220000000000000000-2-2220000000000000000-20000
χ192222-2-22222-2222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-20000000000000000-2-222000000000000000020000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222-2-22222220000000000000000-2-2-2-2000000000000000020000
χ2122-2-2002i−2i2202-2-22-2-200002i2i−2i−2i00002i−2i002i−2i2i−2i002-2002i−2i000000002-200002-2002i−2i0000000000000
χ2222-2-2002i−2i2202-2-22-2-200002i2i−2i−2i00002i−2i002i−2i2i−2i00-2200−2i2i000000002-20000-2200−2i2i0000000000000
χ2322-2-2002i−2i2202-2-22-2-200002i2i−2i−2i00002i−2i00−2i2i−2i2i2-2002i−2i0000000000-22002-2002i−2i000000000000000
χ2422-2-2002i−2i2202-2-22-2-200002i2i−2i−2i00002i−2i00−2i2i−2i2i-2200−2i2i0000000000-2200-2200−2i2i000000000000000
χ2522-2-200−2i2i2202-2-22-2-20000−2i−2i2i2i0000−2i2i002i−2i2i−2i2-200−2i2i0000000000-22002-200−2i2i000000000000000
χ2622-2-200−2i2i2202-2-22-2-20000−2i−2i2i2i0000−2i2i002i−2i2i−2i-22002i−2i0000000000-2200-22002i−2i000000000000000
χ2722-2-200−2i2i2202-2-22-2-20000−2i−2i2i2i0000−2i2i00−2i2i−2i2i002-200−2i2i000000002-200002-200−2i2i0000000000000
χ2822-2-200−2i2i2202-2-22-2-20000−2i−2i2i2i0000−2i2i00−2i2i−2i2i00-22002i−2i000000002-20000-22002i−2i0000000000000
χ292-22-22i−2i00220-22-2-22-22i2i−2i−2i00002i−2i0000002i−2i−2i2i000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i002-2000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000
χ302-22-22i−2i00220-22-2-22-22i2i−2i−2i00002i−2i0000002i−2i−2i2i00000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-200000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000
χ312-22-22i−2i00220-22-2-22-22i2i−2i−2i00002i−2i000000−2i2i2i−2i000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00-22000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000
χ322-22-22i−2i00220-22-2-22-22i2i−2i−2i00002i−2i000000−2i2i2i−2i00000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00-2200000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000
χ332-22-2−2i2i00220-22-2-22-2−2i−2i2i2i0000−2i2i0000002i−2i−2i2i000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00-22000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000
χ342-22-2−2i2i00220-22-2-22-2−2i−2i2i2i0000−2i2i0000002i−2i−2i2i00000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00-2200000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000
χ352-22-2−2i2i00220-22-2-22-2−2i−2i2i2i0000−2i2i000000−2i2i2i−2i000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i002-2000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000
χ362-22-2−2i2i00220-22-2-22-2−2i−2i2i2i0000−2i2i000000−2i2i2i−2i00000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-200000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000
χ37444444441-24111-2-2-2-2-2-2-211111111-2-2-2-200000000000022222222000000000000-1-1-1-1-1-1-1-100000
χ38444444441-24111-2-2-2-2-2-2-211111111-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000001111111100000
χ3944444444-214-2-2-21111111-2-2-2-2-2-2-2-21111000022222222000000000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2-2-21111111-2-2-2-2-2-2-2-211110000-2-2-2-2-2-2-2-2000000000000111111110000000000000
χ41444444-4-41-2-4111-2-2-2-2-2-2-2-1-1-1-111-1-122220000000000002i2i2i2i−2i−2i−2i−2i000000000000−i−i−i−iiiii00000
χ42444444-4-41-2-4111-2-2-2-2-2-2-2-1-1-1-111-1-12222000000000000−2i−2i−2i−2i2i2i2i2i000000000000iiii−i−i−i−i00000
χ43444444-4-4-21-4-2-2-211111112222-2-222-1-1-1-100002222-2-2-2-2000000000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-2-2-211111112222-2-222-1-1-1-10000-2-2-2-222220000000000001111-1-1-1-10000000000000
χ454444-4-4441-2-4111-2-2-222221111-1-1-1-1-2-22200000000000022-2-222-2-2000000000000-1-111-1-11100000
χ464444-4-4441-2-4111-2-2-222221111-1-1-1-1-2-222000000000000-2-222-2-22200000000000011-1-111-1-100000
χ474444-4-444-21-4-2-2-2111-1-1-1-1-2-2-2-2222211-1-1000022-2-222-2-2000000000000-1-111-1-1110000000000000
χ484444-4-444-21-4-2-2-2111-1-1-1-1-2-2-2-2222211-1-10000-2-222-2-22200000000000011-1-111-1-10000000000000
χ494444-4-4-4-41-24111-2-2-22222-1-1-1-1-1-11122-2-20000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000
χ504444-4-4-4-41-24111-2-2-22222-1-1-1-1-1-11122-2-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000
χ514444-4-4-4-4-214-2-2-2111-1-1-1-1222222-2-2-1-111000022-2-2-2-222000000000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-2-2-2111-1-1-1-1222222-2-2-1-1110000-2-22222-2-200000000000011-1-1-1-1110000000000000
χ5344-4-4004i−4i-210-2221-1-13-33-3−2i−2i2i2i0000i−i3i−3i00002-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000
χ5444-4-4004i−4i-210-2221-1-13-33-3−2i−2i2i2i0000i−i3i−3i0000-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000
χ5544-4-4004i−4i-210-2221-1-1-33-33−2i−2i2i2i0000i−i−3i3i00002-2-222i−2i−2i2i000000000000-111-1−iii−i0000000000000
χ5644-4-4004i−4i-210-2221-1-1-33-33−2i−2i2i2i0000i−i−3i3i0000-222-2−2i2i2i−2i0000000000001-1-11i−i−ii0000000000000
χ5744-4-400−4i4i-210-2221-1-13-33-32i2i−2i−2i0000−ii−3i3i00002-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000
χ5844-4-400−4i4i-210-2221-1-13-33-32i2i−2i−2i0000−ii−3i3i0000-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000
χ5944-4-400−4i4i-210-2221-1-1-33-332i2i−2i−2i0000−ii3i−3i00002-2-22−2i2i2i−2i000000000000-111-1i−i−ii0000000000000
χ6044-4-400−4i4i-210-2221-1-1-33-332i2i−2i−2i0000−ii3i−3i0000-222-22i−2i−2i2i0000000000001-1-11−iii−i0000000000000
χ614-44-44i−4i001-20-11-12-22−2i−2i2i2i3-33-3i−i3i−3i00000000000000002-2−2i2i2-22i−2i000000000000-11i−i-11−ii00000
χ624-44-44i−4i001-20-11-12-22−2i−2i2i2i3-33-3i−i3i−3i0000000000000000-222i−2i-22−2i2i0000000000001-1−ii1-1i−i00000
χ634-44-44i−4i001-20-11-12-22−2i−2i2i2i-33-33i−i−3i3i00000000000000002i−2i2-2−2i2i2-2000000000000−ii-11i−i-1100000
χ644-44-44i−4i001-20-11-12-22−2i−2i2i2i-33-33i−i−3i3i0000000000000000−2i2i-222i−2i-22000000000000i−i1-1−ii1-100000
χ654-44-4−4i4i001-20-11-12-222i2i−2i−2i3-33-3−ii−3i3i00000000000000002-22i−2i2-2−2i2i000000000000-11−ii-11i−i00000
χ664-44-4−4i4i001-20-11-12-222i2i−2i−2i3-33-3−ii−3i3i0000000000000000-22−2i2i-222i−2i0000000000001-1i−i1-1−ii00000
χ674-44-4−4i4i001-20-11-12-222i2i−2i−2i-33-33−ii3i−3i00000000000000002i−2i-22−2i2i-22000000000000−ii1-1i−i1-100000
χ684-44-4−4i4i001-20-11-12-222i2i−2i−2i-33-33−ii3i−3i0000000000000000−2i2i2-22i−2i2-2000000000000i−i-11−ii-1100000
χ694-4-440000440-4-44-4-44000000000000000044-4-400000000000000000000000000000000000000000
χ704-4-440000440-4-44-4-440000000000000000-4-44400000000000000000000000000000000000000000
χ7188-8-8008i−8i2-402-2-2-44400002i2i−2i−2i0000−4i4i00000000000000000000000000000000000000000000000
χ7288-8-800−8i8i2-402-2-2-4440000−2i−2i2i2i00004i−4i00000000000000000000000000000000000000000000000
χ738-88-88i−8i00-4204-44-22-22i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000000000
χ748-88-8−8i8i00-4204-44-22-2−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000000000
χ758-8-8800002-40-2-2244-400006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ768-8-8800002-40-2-2244-40000−6i6i6i−6i00000000000000000000000000000000000000000000000000000
χ778-8-880000-42044-4-2-226i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ788-8-880000-42044-4-2-22−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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