Finite Group Databasebeta

← Group #11784807

Character table — Group #11784807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order1222224433466666666661212121266121212121212444422224444444444442244666612121212121212121212121228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-111-1-1
χ91111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−iii−i−i-1-11111-1-1ii−i−iii−i−i-1-1111i−ii−i
χ101111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111−i−iii−i−iii-1-11111-1-1−i−iii−i−iii-1-1111−ii−ii
χ111111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i11-1-11−ii−ii
χ121111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iii-1-111-1-111−i−iii−i−iii11-1-11i−ii−i
χ131111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii11111111ii−i−i−i−iii-1-1-1-1-1i−i−ii
χ141111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i11111111−i−iiiii−i−i-1-1-1-1-1−iii−i
χ151111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1ii−i−i−i−iii1111-1−iii−i
χ161111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1−i−iiiii−i−i1111-1i−i−ii
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2000000000000000020000
χ192222-2-22222-222-2-2222-2-222222-2-222-2-2-2-22222000000000000000022-2-20000000000000000-20000
χ202222-2-2-2-222222-2-2222-2-22-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2000000000000000020000
χ2122-2-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i00002i2i−2i−2i000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i2-20000001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000
χ2222-2-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i00002i2i−2i−2i00000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i2-2000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000
χ2322-2-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i0000−2i−2i2i2i000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i-220000001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000000
χ2422-2-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i0000−2i−2i2i2i00000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i-22000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000000
χ2522-2-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i00002i2i−2i−2i000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i-220000001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000000
χ2622-2-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i00002i2i−2i−2i00000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i-22000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000000
χ2722-2-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i0000−2i−2i2i2i000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i2-20000001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000
χ2822-2-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i0000−2i−2i2i2i00000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i2-2000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000
χ292-2-222-200220-2-22-2-2-222-2200002-20000002-22-2002-2002-200000000002-2002-200000000002-200000
χ302-2-222-200220-2-22-2-2-222-2200002-20000002-22-200-2200-2200000000002-200-220000000000-2200000
χ312-2-222-200220-2-22-2-2-222-2200002-2000000-22-222-2002-2000000000000-222-200000000002-20000000
χ322-2-222-200220-2-22-2-2-222-2200002-2000000-22-22-2200-22000000000000-22-220000000000-220000000
χ332-2-22-2200220-2-2-22-2-22-2220000-220000002-22-22-200-22000000000000-222-20000000000-220000000
χ342-2-22-2200220-2-2-22-2-22-2220000-220000002-22-2-22002-2000000000000-22-2200000000002-20000000
χ352-2-22-2200220-2-2-22-2-22-2220000-22000000-22-22002-200-2200000000002-2002-20000000000-2200000
χ362-2-22-2200220-2-2-22-2-22-2220000-22000000-22-2200-22002-200000000002-200-2200000000002-200000
χ37444444441-241111-2-2111-2-2-2-2-2-2-21111-2-20000000000002222222200000000-1-1-1-1-1-1-1-1000000000
χ38444444441-241111-2-2111-2-2-2-2-2-2-21111-2-2000000000000-2-2-2-2-2-2-2-20000000011111111000000000
χ3944444444-214-2-2-2-211-2-2-21111111-2-2-2-211000022222222000000000000-1-1-1-100000000-1-1-1-100000
χ4044444444-214-2-2-2-211-2-2-21111111-2-2-2-2110000-2-2-2-2-2-2-2-2000000000000111100000000111100000
χ41444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-1220000000000002222-2-2-2-200000000-1-1-1-11111000000000
χ42444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-122000000000000-2-2-2-22222000000001111-1-1-1-1000000000
χ43444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-1000022-2-222-2-2000000000000-1-11100000000-1-11100000
χ44444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-10000-2-222-2-22200000000000011-1-10000000011-1-100000
χ454444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-1220000000000002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii000000000
χ464444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-122000000000000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i000000000
χ474444-4-444-21-4-2-22211-22211111-1-1-2-222-1-1000022-2-2-2-222000000000000-1-1110000000011-1-100000
χ484444-4-444-21-4-2-22211-22211111-1-1-2-222-1-10000-2-22222-2-200000000000011-1-100000000-1-11100000
χ494444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-20000000000002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i000000000
χ504444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-2000000000000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii000000000
χ514444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-21100002222-2-2-2-2000000000000-1-1-1-100000000111100000
χ524444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-2110000-2-2-2-22222000000000000111100000000-1-1-1-100000
χ5344-4-4004i−4i1-201-13-3-22-1-332−2i−2i2i2i00i−i3i−3i000000000000002-22-2−2i2i2i−2i00000000-11-11i−i−ii000000000
χ5444-4-4004i−4i1-201-13-3-22-1-332−2i−2i2i2i00i−i3i−3i00000000000000-22-222i−2i−2i2i000000001-11-1−iii−i000000000
χ5544-4-4004i−4i1-201-1-33-22-13-32−2i−2i2i2i00i−i−3i3i000000000000002i−2i−2i2i2-22-200000000−iii−i-11-11000000000
χ5644-4-4004i−4i1-201-1-33-22-13-32−2i−2i2i2i00i−i−3i3i00000000000000−2i2i2i−2i-22-2200000000i−i−ii1-11-1000000000
χ5744-4-400−4i4i1-201-13-3-22-1-3322i2i−2i−2i00−ii−3i3i000000000000002-22-22i−2i−2i2i00000000-11-11−iii−i000000000
χ5844-4-400−4i4i1-201-13-3-22-1-3322i2i−2i−2i00−ii−3i3i00000000000000-22-22−2i2i2i−2i000000001-11-1i−i−ii000000000
χ5944-4-400−4i4i1-201-1-33-22-13-322i2i−2i−2i00−ii3i−3i000000000000002i−2i−2i2i-22-2200000000−iii−i1-11-1000000000
χ6044-4-400−4i4i1-201-1-33-22-13-322i2i−2i−2i00−ii3i−3i00000000000000−2i2i2i−2i2-22-200000000i−i−ii-11-11000000000
χ614-44-40000440-4400-44-400-40000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ624-44-40000440-4400-44-400-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-4-444-400-21022-22-1-1-2-2213-33-31-100003-300002-22-22-22-2000000000000-11-1100000000-11-1100000
χ644-4-444-400-21022-22-1-1-2-2213-33-31-100003-30000-22-22-22-220000000000001-11-1000000001-11-100000
χ654-4-444-400-21022-22-1-1-2-221-33-331-10000-3300002-2-222-2-22000000000000-111-100000000-111-100000
χ664-4-444-400-21022-22-1-1-2-221-33-331-10000-330000-222-2-222-20000000000001-1-11000000001-1-1100000
χ674-4-44-4400-210222-2-1-1-22-213-33-3-110000-3300002-2-22-222-2000000000000-111-1000000001-1-1100000
χ684-4-44-4400-210222-2-1-1-22-213-33-3-110000-330000-222-22-2-220000000000001-1-1100000000-111-100000
χ694-4-44-4400-210222-2-1-1-22-21-33-33-1100003-300002-22-2-22-22000000000000-11-11000000001-11-100000
χ704-4-44-4400-210222-2-1-1-22-21-33-33-1100003-30000-22-222-22-20000000000001-11-100000000-11-1100000
χ7188-8-8008i−8i-420-44002-2400-22i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000000000
χ7288-8-800−8i8i-420-44002-2400-2−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000000000
χ738-88-800002-40-22664-4-2-6-64000000000000000000000000000000000000000000000000000000000
χ748-88-800002-40-22-6-64-4-2664000000000000000000000000000000000000000000000000000000000
χ758-88-80000-4204-400-22400-26i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ768-88-80000-4204-400-22400-2−6i6i6i−6i00000000000000000000000000000000000000000000000000000
χ778-8-888-8002-40-2-22-24422-2-40000-44000000000000000000000000000000000000000000000000000
χ788-8-88-88002-40-2-2-22442-22-400004-4000000000000000000000000000000000000000000000000000

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