Finite Group Databasebeta

← Group #11775122

Character table — Group #11775122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222223344666666346666666121212121212222244121212122466661212121212121244444666612126661212124488121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1111-111-1-1-1-111-1-11111111-111-1-11-1-111-1-1-1ii−i−i11-1-1-1-1111-1-1-1-11i−i-1-111ii−i−iii−i−iii−i−ii−i
χ101111-1-111-1-111111111-1-1-1111-111-1-1-1-111-1-11111111-111-1-11-1-111-1-1-1−i−iii11-1-1-1-1111-1-1-1-11−ii-1-111−i−iii−i−iii−i−iii−ii
χ111111-1-111-1-111111111-1-1-1111-111-1-1-1-111-1-1111111-11-1-1-1-111111-1-1-1ii−i−i11-1-1-1-1-1-1-11111-1−ii11-1-1ii−i−i−i−iiiii−i−i−ii
χ121111-1-111-1-111111111-1-1-1111-111-1-1-1-111-1-1111111-11-1-1-1-111111-1-1-1−i−iii11-1-1-1-1-1-1-11111-1i−i11-1-1−i−iiiii−i−i−i−iiii−i
χ131111-1-111-1-111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11-1-111-1-11ii−i−i-1-11111111-1-1-11-1i−i11-1-1ii−i−iii−i−i−i−iii−ii
χ141111-1-111-1-111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11-1-111-1-11−i−iii-1-11111111-1-1-11-1−ii11-1-1−i−iii−i−iiiii−i−ii−i
χ151111-1-111-1-111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111-1-11ii−i−i-1-11111-1-1-1111-11−ii-1-111ii−i−i−i−iii−i−iiii−i
χ161111-1-111-1-111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111-1-11−i−iii-1-11111-1-1-1111-11i−i-1-111−i−iiiii−i−iii−i−i−ii
χ1722222222-2-22222222-22222222-2-2-2-2-2-22222-2-2-2-2-2-2000022-200-2-2-2-2-200002222-2-20000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2222222000022-200-2-2-2-220000-2-2-2-2220000000000000000000000000000
χ192222222-122222-1-1-1-122-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-1-1-1-1-1-12-1-12-1-12200-1-1-1-100000000000000
χ202222222-122222-1-1-1-122-1-1-1-1-12-1-1-1-122222222-1-1-1-1-2-211-1-1211-1-1-1-120000-1-1-1-1-1-1-211-211-2-200111100000000000000
χ212222222-122222-1-1-1-122-1-1-1-1-12-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-200001111112-1-12-1-1-2-200111100000000000000
χ222222222-122222-1-1-1-122-1-1-1-1-12-1-1-1-122-2-2-2-2-2-21111-2-211-1-1211-1-1-1-1-20000111111-211-2112200-1-1-1-100000000000000
χ232222222-1-2-2222-1-1-1-1-22-1-1-1-1-121111-2-22222-2-2111100−i3i3-1-1-2−i3i31111-20000-1-1-1-1110−i3i30−i3i30000−i3i3−i3i300000000000000
χ242222222-1-2-2222-1-1-1-1-22-1-1-1-1-121111-2-22222-2-2111100i3−i3-1-1-2i3−i31111-20000-1-1-1-1110i3−i30i3−i30000i3−i3i3−i300000000000000
χ252222222-1-2-2222-1-1-1-1-22-1-1-1-1-121111-2-2-2-2-2-222-1-1-1-100−i3i3-1-1-2−i3i31111200001111-1-10−i3i30−i3i30000i3−i3i3−i300000000000000
χ262222222-1-2-2222-1-1-1-1-22-1-1-1-1-121111-2-2-2-2-2-222-1-1-1-100i3−i3-1-1-2i3−i31111200001111-1-10i3−i30i3−i30000−i3i3−i3i300000000000000
χ27222222-1222-1-1-1222-12-122-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-102222000000-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1000000
χ28222222-1222-1-1-1222-12-122-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2000011111111000000
χ29222222-1222-1-1-1222-12-122-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-10222200000011111100-2-20000-1-1-1-11111000000
χ30222222-1222-1-1-1222-12-122-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-10-2-2-2-2000000111111002200001111-1-1-1-1000000
χ312222-2-222222222222-2-2-2-2222-2-2-2222222-2-2-2-2-2-2-2-20000-2-2-200-2-2222000022-2-2220000000000000000000000000000
χ322222-2-222222222222-2-2-2-2222-2-2-22222-2-2222222220000-2-2-200-2-222-20000-2-222-2-20000000000000000000000000000
χ332222-2-22-122222-1-1-1-1-2-211-1-1-1-211-1-12222-2-2-2-2111100−i3i311-2i3−i311-1-120000-1-111-1-10−i3i30i3−i30000i3−i3−i3i300000000000000
χ342222-2-22-122222-1-1-1-1-2-211-1-1-1-211-1-12222-2-2-2-2111100i3−i311-2−i3i311-1-120000-1-111-1-10i3−i30−i3i30000−i3i3i3−i300000000000000
χ352222-2-22-122222-1-1-1-1-2-211-1-1-1-211-1-122-2-22222-1-1-1-100−i3i311-2i3−i311-1-1-2000011-1-1110−i3i30i3−i30000−i3i3i3−i300000000000000
χ362222-2-22-122222-1-1-1-1-2-211-1-1-1-211-1-122-2-22222-1-1-1-100i3−i311-2−i3i311-1-1-2000011-1-1110i3−i30−i3i30000i3−i3−i3i300000000000000
χ372222-2-22-1-2-2222-1-1-1-12-211-1-1-1-2-1-111-2-222-2-222-1-1-1-12-2-1-111211-1-111-20000-1-111112-1-1-211-220011-1-100000000000000
χ382222-2-22-1-2-2222-1-1-1-12-211-1-1-1-2-1-111-2-222-2-222-1-1-1-1-2211112-1-1-1-111-20000-1-11111-2112-1-12-200-1-11100000000000000
χ392222-2-22-1-2-2222-1-1-1-12-211-1-1-1-2-1-111-2-2-2-222-2-211112-2-1-111211-1-1112000011-1-1-1-12-1-1-2112-200-1-11100000000000000
χ402222-2-22-1-2-2222-1-1-1-12-211-1-1-1-2-1-111-2-2-2-222-2-21111-2211112-1-1-1-1112000011-1-1-1-1-2112-1-1-220011-1-100000000000000
χ412222-2-2-12-2-2-1-1-1222-121-2-2-1-1-1122-2-21100000000002-22211-1-2-2-1-11102i2i−2i−2i000000-1-1-1111002i−2i0000−i−iii−i−iii000000
χ422222-2-2-12-2-2-1-1-1222-121-2-2-1-1-1122-2-21100000000002-22211-1-2-2-1-1110−2i−2i2i2i000000-1-1-111100−2i2i0000ii−i−iii−i−i000000
χ432222-2-2-12-2-2-1-1-1222-121-2-2-1-1-1122-2-2110000000000-22-2-211-122-1-11102i2i−2i−2i000000111-1-1-100−2i2i0000−i−iiiii−i−i000000
χ442222-2-2-12-2-2-1-1-1222-121-2-2-1-1-1122-2-2110000000000-22-2-211-122-1-1110−2i−2i2i2i000000111-1-1-1002i−2i0000ii−i−i−i−iii000000
χ452-22-200222i−2i2-2-2-22-2200002-2-20002i−2i2i−2i002-22i−2i2i2i−2i−2i000000000002i−2i01+i−1−i1−i−1+i002-200000000000000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i00
χ462-22-200222i−2i2-2-2-22-2200002-2-20002i−2i2i−2i002-22i−2i2i2i−2i−2i000000000002i−2i0−1−i1+i−1+i1−i002-20000000000000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i00
χ472-22-200222i−2i2-2-2-22-2200002-2-20002i−2i2i−2i00-22−2i2i−2i−2i2i2i000000000002i−2i01+i−1−i1−i−1+i00-2200000000000000001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i00
χ482-22-200222i−2i2-2-2-22-2200002-2-20002i−2i2i−2i00-22−2i2i−2i−2i2i2i000000000002i−2i0−1−i1+i−1+i1−i00-220000000000000000−1−i1+i−1+i1−i00001−i−1+i1+i−1−i00
χ492-22-20022−2i2i2-2-2-22-2200002-2-2000−2i2i−2i2i002-2−2i2i−2i−2i2i2i00000000000−2i2i01−i−1+i1+i−1−i002-200000000000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i00
χ502-22-20022−2i2i2-2-2-22-2200002-2-2000−2i2i−2i2i002-2−2i2i−2i−2i2i2i00000000000−2i2i0−1+i1−i−1−i1+i002-20000000000000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i00
χ512-22-20022−2i2i2-2-2-22-2200002-2-2000−2i2i−2i2i00-222i−2i2i2i−2i−2i00000000000−2i2i01−i−1+i1+i−1−i00-2200000000000000001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i00
χ522-22-20022−2i2i2-2-2-22-2200002-2-2000−2i2i−2i2i00-222i−2i2i2i−2i−2i00000000000−2i2i0−1+i1−i−1−i1+i00-220000000000000000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i00
χ53444444-24-4-4-2-2-2444-2-4-244-2-2-2-2-4-4-4-42200000000000000-2-22002222000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-214-2-2-2111-2-2-2-2-2-2-2000000000044-2-211-2-2-2111100000000000-211-2110000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2111-2-2-2-2-2-2-20000000000-4-42211-2221111000000000002-1-12-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2111-2222222000000000000−2i32i3112−2i32i3-1-1-1-1000000000000i3−i30i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2111-22222220000000000002i3−2i31122i3−2i3-1-1-1-1000000000000−i3i30−i3i30000000000000000000000
χ584444-4-4-2444-2-2-2444-2-42-4-4-2-2-22-4-444-2-2000000000000002220022-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-4222111222-2-2-2-2000000000000−2i32i3-1-122i3−2i3-1-111000000000000i3−i30−i3i30000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-4222111222-2-2-2-20000000000002i3−2i3-1-12−2i32i3-1-111000000000000−i3i30i3−i30000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-2142221112-2-2222200000000004-4-2-2-1-1-22211-1-100000000000-2112-1-10000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-2142221112-2-222220000000000-4422-1-1-2-2-211-1-1000000000002-1-1-2110000000000000000000000
χ6344-4-44-44400-44-44-4-44044-4-44-4-4000000000000000000004-40000000000000000000000000000000000000000000000
χ6444-4-44-44-200-44-4-222-204-222-22-400000000000023−2323−230000-22000000000000000023−230000000000000000000000000000
χ6544-4-44-44-200-44-4-222-204-222-22-4000000000000−2323−23230000-220000000000000000−23230000000000000000000000000000
χ6644-4-44-4-24002-224-4-4-20-24-42-22200000000000000000000-220000000000000000000000000000000000006−66−6000000
χ6744-4-44-4-24002-224-4-4-20-24-42-22200000000000000000000-22000000000000000000000000000000000000−66−66000000
χ6844-4-4-444400-44-44-4-440-4-44-44-4400000000000000000000-440000000000000000000000000000000000000000000000
χ6944-4-4-444-200-44-4-222-20-42-22-22400000000000023−2323−2300002-20000000000000000−23230000000000000000000000000000
χ7044-4-4-444-200-44-4-222-20-42-22-224000000000000−2323−232300002-2000000000000000023−230000000000000000000000000000
χ7144-4-4-44-24002-224-4-4-202-442-22-2000000000000000000002-2000000000000000000000000000000000000i6−i6−i6i6000000
χ7244-4-4-44-24002-224-4-4-202-442-22-2000000000000000000002-2000000000000000000000000000000000000−i6i6i6−i6000000
χ734-44-4004-24i−4i4-4-42-22-20000-222000−2i2i4i−4i004-44i−4i−2i−2i2i2i00000000000−2i2i0000000-22000000000000000000000000000000
χ744-44-4004-24i−4i4-4-42-22-20000-222000−2i2i4i−4i00-44−4i4i2i2i−2i−2i00000000000−2i2i00000002-2000000000000000000000000000000
χ754-44-4004-2−4i4i4-4-42-22-20000-2220002i−2i−4i4i004-4−4i4i2i2i−2i−2i000000000002i−2i0000000-22000000000000000000000000000000
χ764-44-4004-2−4i4i4-4-42-22-20000-2220002i−2i−4i4i00-444i−4i−2i−2i2i2i000000000002i−2i00000002-2000000000000000000000000000000
χ774-44-400-244i−4i-222-44-4-20000-2220004i−4i−2i2i000000000000000000000−2i2i02+2i−2−2i2−2i−2+2i00000000000000000000−1−i1+i−1+i1−i0000000000
χ784-44-400-244i−4i-222-44-4-20000-2220004i−4i−2i2i000000000000000000000−2i2i0−2−2i2+2i−2+2i2−2i000000000000000000001+i−1−i1−i−1+i0000000000
χ794-44-400-24−4i4i-222-44-4-20000-222000−4i4i2i−2i0000000000000000000002i−2i02−2i−2+2i2+2i−2−2i00000000000000000000−1+i1−i−1−i1+i0000000000
χ804-44-400-24−4i4i-222-44-4-20000-222000−4i4i2i−2i0000000000000000000002i−2i0−2+2i2−2i−2−2i2+2i000000000000000000001−i−1+i1+i−1−i0000000000
χ814-4-44004400-4-44-4-4440000-4-4400000004-4000000000000000000000000004-400000000000000000000000000000000
χ824-4-44004400-4-44-4-4440000-4-440000000-4400000000000000000000000000-4400000000000000000000000000000000
χ834-4-44004-200-4-4422-2-2000022-20−2i32i300004-40000−2i32i32i3−2i3000000000−2i32i30000000-2200000000000000000000000000000000
χ844-4-44004-200-4-4422-2-2000022-20−2i32i30000-4400002i3−2i3−2i32i3000000000−2i32i300000002-200000000000000000000000000000000
χ854-4-44004-200-4-4422-2-2000022-202i3−2i300004-400002i3−2i3−2i32i30000000002i3−2i30000000-2200000000000000000000000000000000
χ864-4-44004-200-4-4422-2-2000022-202i3−2i30000-440000−2i32i32i3−2i30000000002i3−2i300000002-200000000000000000000000000000000
χ8788-8-88-8-4-4004-44-44420-4-44-22-24000000000000000000002-20000000000000000000000000000000000000000000000
χ8888-8-8-88-4-4004-44-4442044-4-22-2-400000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-800-4-48i−8i-4444-44200002-2-2000−4i4i−4i4i0000000000000000000002i−2i000000000000000000000000000000000000000
χ908-88-800-4-4−8i8i-4444-44200002-2-20004i−4i4i−4i000000000000000000000−2i2i000000000000000000000000000000000000000
χ918-8-8800-480044-4-8-88-4000044-4000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-40044-444-420000-2-220−4i34i3000000000000000000000002i3−2i300000000000000000000000000000000000000000
χ938-8-8800-4-40044-444-420000-2-2204i3−4i300000000000000000000000−2i32i300000000000000000000000000000000000000000

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