Finite Group Databasebeta

← Group #11785334

Character table — Group #11785334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order122222443346666666666121212126612121212121244442244444444444444444466121212121212121212121212121248888
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-111-1-1
χ91111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1-1-111ii−i−iii−i−i1i−ii−i
χ101111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1-1-111−i−iii−i−iii1−ii−ii
χ111111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11-1-1-1-11111-1-1ii−i−iii−i−i1−ii−ii
χ121111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11-1-1-1-11111-1-1−i−iii−i−iii1i−ii−i
χ131111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-111-1-1ii−i−i−i−iii-1i−i−ii
χ141111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-111-1-1−i−iiiii−i−i-1−iii−i
χ151111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111-1-111-1-111ii−i−i−i−iii-1−iii−i
χ161111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111-1-111-1-111−i−iiiii−i−i-1i−i−ii
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-222000000000000000020000
χ192222-2-22222-222-2-22222-2-22222-2-222-2-2-2-222220000000000000000-2-2220000000000000000-20000
χ202222-2-2-2-222222-2-22222-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2000000000000000020000
χ212-22-2002i−2i2202-200-22-2-2002i2i−2i−2i002i−2i00002i−2i2i−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
χ222-22-2002i−2i2202-200-22-2-2002i2i−2i−2i002i−2i00002i−2i2i−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
χ232-22-2002i−2i2202-200-22-2-2002i2i−2i−2i002i−2i0000−2i2i−2i2i000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00-22000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000
χ242-22-2002i−2i2202-200-22-2-2002i2i−2i−2i002i−2i0000−2i2i−2i2i00000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00-2200000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000
χ252-22-200−2i2i2202-200-22-2-200−2i−2i2i2i00−2i2i00002i−2i2i−2i000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00-22000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000
χ262-22-200−2i2i2202-200-22-2-200−2i−2i2i2i00−2i2i00002i−2i2i−2i00000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00-2200000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000
χ272-22-200−2i2i2202-200-22-2-200−2i−2i2i2i00−2i2i0000−2i2i−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
χ282-22-200−2i2i2202-200-22-2-200−2i−2i2i2i00−2i2i0000−2i2i−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
χ292-2-222-200220-2222-2-22-2-2-200002-200000022-2-22-2002-200000000002-2002-22-200000000000000000
χ302-2-222-200220-2222-2-22-2-2-200002-200000022-2-2-2200-2200000000002-200-22-2200000000000000000
χ312-2-222-200220-2222-2-22-2-2-200002-2000000-2-222002i−2i002i−2i00000000-220000002i−2i2i−2i0000000000000
χ322-2-222-200220-2222-2-22-2-2-200002-2000000-2-22200−2i2i00−2i2i00000000-22000000−2i2i−2i2i0000000000000
χ332-2-22-2200220-22-2-2-2-22-2220000-2200000022-2-2002i−2i00−2i2i00000000-22000000−2i2i2i−2i0000000000000
χ342-2-22-2200220-22-2-2-2-22-2220000-2200000022-2-200−2i2i002i−2i00000000-220000002i−2i−2i2i0000000000000
χ352-2-22-2200220-22-2-2-2-22-2220000-22000000-2-2222-200-2200000000002-2002-2-2200000000000000000
χ362-2-22-2200220-22-2-2-2-22-2220000-22000000-2-222-22002-200000000002-200-222-200000000000000000
χ37444444441-2411111-2-2-211-2-2-2-2-2-21111-2-200000000000022222222000000000000-1-1-1-1-1-1-1-100000
χ38444444441-2411111-2-2-211-2-2-2-2-2-21111-2-2000000000000-2-2-2-2-2-2-2-20000000000001111111100000
χ3944444444-214-2-2-2-2-2111-2-2111111-2-2-2-211000022222222000000000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2-2-2-2-2111-2-2111111-2-2-2-2110000-2-2-2-2-2-2-2-2000000000000111111110000000000000
χ41444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-1220000000000002222-2-2-2-2000000000000-1-1-1-1111100000
χ42444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-122000000000000-2-2-2-222220000000000001111-1-1-1-100000
χ43444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-1000022-2-222-2-2000000000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-10000-2-222-2-2220000000000001111-1-1-1-10000000000000
χ454444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-1220000000000002i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii00000
χ464444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-122000000000000−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i00000
χ474444-4-444-21-4-2-222-2111221111-1-1-2-222-1-100002222-2-2-2-2000000000000-1-11111-1-10000000000000
χ484444-4-444-21-4-2-222-2111221111-1-1-2-222-1-10000-2-2-2-2222200000000000011-1-1-1-1110000000000000
χ494444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-20000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000
χ504444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000
χ514444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-211000022-2-2-2-222000000000000-1-111-1-1110000000000000
χ524444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-2110000-2-22222-2-200000000000011-1-111-1-10000000000000
χ5344-4-40000440-4-4004-4-44000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ5444-4-40000440-4-4004-4-4400000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ554-44-4004i−4i1-201-13-3-1-2223-3−2i−2i2i2i00i−i3i−3i000000000000002-22-2−2i2i2i−2i000000000000-11-11i−i−ii00000
χ564-44-4004i−4i1-201-13-3-1-2223-3−2i−2i2i2i00i−i3i−3i00000000000000-22-222i−2i−2i2i0000000000001-11-1−iii−i00000
χ574-44-4004i−4i1-201-1-33-1-222-33−2i−2i2i2i00i−i−3i3i000000000000002i−2i−2i2i2-22-2000000000000−iii−i-11-1100000
χ584-44-4004i−4i1-201-1-33-1-222-33−2i−2i2i2i00i−i−3i3i00000000000000−2i2i2i−2i-22-22000000000000i−i−ii1-11-100000
χ594-44-400−4i4i1-201-13-3-1-2223-32i2i−2i−2i00−ii−3i3i000000000000002-22-22i−2i−2i2i000000000000-11-11−iii−i00000
χ604-44-400−4i4i1-201-13-3-1-2223-32i2i−2i−2i00−ii−3i3i00000000000000-22-22−2i2i2i−2i0000000000001-11-1i−i−ii00000
χ614-44-400−4i4i1-201-1-33-1-222-332i2i−2i−2i00−ii3i−3i000000000000002i−2i−2i2i-22-22000000000000−iii−i1-11-100000
χ624-44-400−4i4i1-201-1-33-1-222-332i2i−2i−2i00−ii3i−3i00000000000000−2i2i2i−2i2-22-2000000000000i−i−ii-11-1100000
χ634-4-444-400-2102-2-2-22-11-1223i−3i3i−3i1-100003i−3i00002-22i−2i2-22i−2i000000000000-11-11−ii−ii0000000000000
χ644-4-444-400-2102-2-2-22-11-1223i−3i3i−3i1-100003i−3i0000-22−2i2i-22−2i2i0000000000001-11-1i−ii−i0000000000000
χ654-4-444-400-2102-2-2-22-11-122−3i3i−3i3i1-10000−3i3i00002-2−2i2i2-2−2i2i000000000000-11-11i−ii−i0000000000000
χ664-4-444-400-2102-2-2-22-11-122−3i3i−3i3i1-10000−3i3i0000-222i−2i-222i−2i0000000000001-11-1−ii−ii0000000000000
χ674-4-44-4400-2102-2222-11-1-2-23i−3i3i−3i-110000−3i3i00002-22i−2i-22−2i2i000000000000-111-1i−i−ii0000000000000
χ684-4-44-4400-2102-2222-11-1-2-23i−3i3i−3i-110000−3i3i0000-22−2i2i2-22i−2i0000000000001-1-11−iii−i0000000000000
χ694-4-44-4400-2102-2222-11-1-2-2−3i3i−3i3i-1100003i−3i00002-2−2i2i-222i−2i000000000000-111-1−iii−i0000000000000
χ704-4-44-4400-2102-2222-11-1-2-2−3i3i−3i3i-1100003i−3i0000-222i−2i2-2−2i2i0000000000001-1-11i−i−ii0000000000000
χ7188-8-800002-40-2-26-6244-4-66000000000000000000000000000000000000000000000000000000000
χ7288-8-800002-40-2-2-66244-46-6000000000000000000000000000000000000000000000000000000000
χ7388-8-80000-4204400-4-2-22006-6-6600000000000000000000000000000000000000000000000000000
χ7488-8-80000-4204400-4-2-2200-666-600000000000000000000000000000000000000000000000000000
χ758-88-8008i−8i-420-440042-2-2002i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000000000
χ768-88-800−8i8i-420-440042-2-200−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000000000
χ778-8-888-8002-40-2222-24-44-2-20000-44000000000000000000000000000000000000000000000000000
χ788-8-88-88002-40-22-2-2-24-442200004-4000000000000000000000000000000000000000000000000000

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