Finite Group Databasebeta

← Group #11872361

Character table — Group #11872361

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244444812121212121212122424242424242424222444668812121212121212121222666681212122424242444448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-11111-1-111-11-1-1-1-1-1-11-1-11-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1-111-1-111-1-111-111-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-11111-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1111-1-111-1-111-1-1-111-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-111-1-11-11111111-1-11-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11111-11-1-1-1-111-111-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-200220022-2-2000000000000-2000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200-2-20022-2-20000000000002000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-2002200-2-222000000000000-2000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2200-2-200-2-2220000000000002000000-20020000
χ2122222-122-122-1-12-122-1-1-1-12-12222222-1-1-1-122-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-120-1-1-1-12000-1-10000000000
χ2222222-122-122-1-12-122-1-1-1-12-122222-2-2-1-11122-1-1-2-21111112200000000-1-1-1-1-2-1-111-20-1-111-2000110000000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-1-201111-2000110000000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-2-2-2-2-1-11122-1-1-2-2111111-2-2000000001111-2-1-1112011-1-12000-1-10000000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-1222222-211-1-1-2-2-1-1-2-2111111-2-200000000-1-1-1-1211-1-12011-1-1-2000110000000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122222-221111-2-2-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-21111-2011112000-1-10000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-22-211-1-1-2-2-1-1-2-211111122000000001111211-1-1-20-1-1112000-1-10000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-2-221111-2-2-1-122-1-1-1-1-1-122000000001111-2111120-1-1-1-1-2000110000000000
χ292222-12222-1-122-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-1002222-1-1220000-1-1-1-1-10200000-1-1-100-1-1000000-10
χ302222-12222-1-122-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-100-2-2-2-211-2-20000-1-1-1-1-10-200000111001100000010
χ312222-12222-1-122-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-111-2-21111002222-1-1-2-200001-1-1110-200000-1-1-1001100000010
χ322222-12222-1-122-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-111-2-2111100-2-2-2-2112200001-1-111020000011100-1-1000000-10
χ332222-12222-1-122-1-1-2-2-1-1-12-12-100002-2-2-22211-1-111-2-211110022-2-2-1-1-2-20000-111-1-10200000-1110011000000-10
χ342222-12222-1-122-1-1-2-2-1-1-12-12-100002-2-2-22211-1-111-2-2111100-2-22211220000-111-1-10-2000001-1-100-1-100000010
χ352222-12222-1-122-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-1-1-122-1-1-1-10022-2-2-1-1220000111110-200000-11100-1-100000010
χ362222-12222-1-122-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-1-1-122-1-1-1-100-2-22211-2-200001111102000001-1-10011000000-10
χ372-22-2222-22-22-2-2-22002-2-2-2-2222i−2i2i−2i000000002-20000000000002i−2i00002i−2i2i−2i00000000000002i−2i000002-200000
χ382-22-2222-22-22-2-2-22002-2-2-2-2222i−2i2i−2i000000002-2000000000000−2i2i00002i−2i2i−2i0000000000000−2i2i00000-2200000
χ392-22-2222-22-22-2-2-22002-2-2-2-222−2i2i−2i2i000000002-20000000000002i−2i0000−2i2i−2i2i00000000000002i−2i00000-2200000
χ402-22-2222-22-22-2-2-22002-2-2-2-222−2i2i−2i2i000000002-2000000000000−2i2i0000−2i2i−2i2i0000000000000−2i2i000002-200000
χ412-22-222-222-22-2-2-222i−2i2-2-222-2-22i−2i−2i2i002i−2i002i−2i-22000000002-2000000002i−2i−2i2i02i−2i00002-2000000000000000000
χ422-22-222-222-22-2-2-222i−2i2-2-222-2-2−2i2i2i−2i002i−2i002i−2i-2200000000-2200000000−2i2i2i−2i02i−2i0000-22000000000000000000
χ432-22-222-222-22-2-2-22−2i2i2-2-222-2-22i−2i−2i2i00−2i2i00−2i2i-2200000000-22000000002i−2i−2i2i0−2i2i0000-22000000000000000000
χ442-22-222-222-22-2-2-22−2i2i2-2-222-2-2−2i2i2i−2i00−2i2i00−2i2i-22000000002-200000000−2i2i2i−2i0−2i2i00002-2000000000000000000
χ452-22-22-1-22-1-2211-2-12i−2i-111-121-22i−2i−2i2i00−ii3−32i−2i1-100−i3i3−i3−i3i3i32-200000000−iii−i0−ii3−300-11−i3i300003−30000000000
χ462-22-22-1-22-1-2211-2-12i−2i-111-121-22i−2i−2i2i00−ii−332i−2i1-100i3−i3i3i3−i3−i32-200000000−iii−i0−ii−3300-11i3−i30000−330000000000
χ472-22-22-1-22-1-2211-2-12i−2i-111-121-2−2i2i2i−2i00−ii3−32i−2i1-100−i3i3−i3−i3i3i3-2200000000i−i−ii0−ii3−3001-1i3−i30000−330000000000
χ482-22-22-1-22-1-2211-2-12i−2i-111-121-2−2i2i2i−2i00−ii−332i−2i1-100i3−i3i3i3−i3−i3-2200000000i−i−ii0−ii−33001-1−i3i300003−30000000000
χ492-22-22-1-22-1-2211-2-1−2i2i-111-121-22i−2i−2i2i00i−i3−3−2i2i1-100i3−i3i3i3−i3−i3-2200000000−iii−i0i−i3−3001-1−i3i30000−330000000000
χ502-22-22-1-22-1-2211-2-1−2i2i-111-121-22i−2i−2i2i00i−i−33−2i2i1-100−i3i3−i3−i3i3i3-2200000000−iii−i0i−i−33001-1i3−i300003−30000000000
χ512-22-22-1-22-1-2211-2-1−2i2i-111-121-2−2i2i2i−2i00i−i3−3−2i2i1-100i3−i3i3i3−i3−i32-200000000i−i−ii0i−i3−300-11i3−i300003−30000000000
χ522-22-22-1-22-1-2211-2-1−2i2i-111-121-2−2i2i2i−2i00i−i−33−2i2i1-100−i3i3−i3−i3i3i32-200000000i−i−ii0i−i−3300-11−i3i30000−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-420000000000002200000000004-400-2-2000000000000000000200000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42000000000000220000000000-440022000000000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-4400-44-40000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ6244-4-44400-44-44-4-4400-44-400000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ6344-4-4-2400-4-224-42-2002-220000000000000000006−6006−66−6000000−2i32i3−2i22i2000000000000000000000i2−i200000000
χ6444-4-4-2400-4-224-42-2002-220000000000000000006−6006−66−60000002i3−2i32i2−2i2000000000000000000000−i2i200000000
χ6544-4-4-2400-4-224-42-2002-22000000000000000000−6600−66−66000000−2i32i32i2−2i2000000000000000000000−i2i200000000
χ6644-4-4-2400-4-224-42-2002-22000000000000000000−6600−66−660000002i3−2i3−2i22i2000000000000000000000i2−i200000000
χ674-44-44-24-4-2-4422-4-200-2222-4-244i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ684-44-44-24-4-2-4422-4-200-2222-4-24−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ694-44-4-244-442-2-4-42-200-222-424-2000000000000-220000000000004i−4i000000000000000000000−2i2i000000000000
χ704-44-4-244-442-2-4-42-200-222-424-2000000000000-22000000000000−4i4i0000000000000000000002i−2i000000000000
χ714-44-4-24-4442-2-4-42-24i−4i-2224-2-420000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ724-44-4-24-4442-2-4-42-2−4i4i-2224-2-42000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ734-44-4-2-2-44-22-222214i−4i1-1-1-2-222000000−2i2i23−23−2i2i-1100−2i32i3i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ744-44-4-2-2-44-22-222214i−4i1-1-1-2-222000000−2i2i−2323−2i2i-11002i3−2i3−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ754-44-4-2-2-44-22-22221−4i4i1-1-1-2-2220000002i−2i23−232i−2i-11002i3−2i3−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ764-44-4-2-2-44-22-22221−4i4i1-1-1-2-2220000002i−2i−23232i−2i-1100−2i32i3i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ774-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-40048-8-44-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-444200-22-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-444200-22-2000000000000000000−2626006−66−600000000000000000000000000000000000000000
χ838-88-8-4-48-8-44-44442002-2-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ848-8-888-4004-8-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-844-88-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-220000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-2200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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