Finite Group Databasebeta

← Group #11775718

Character table — Group #11775718

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order122233444466666634666121212121212121224121212121212121244448888888888888888666612121212224424242424242424242424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ511111111111111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-11
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-11
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1-11
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1-11
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i-11-1
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii-11-1
χ1722222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-2222200000000000000000000000022-2-20000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-2-2-2-2-2000000000000000000000000-2-2220000000000000000200
χ19222222-2-2222222222-2222-2-2-2-2222200-2-2-2-222-2-22222000000000000000000000000-2-2220000000000000000-200
χ20222222-2-2222222222-2222-2-2-2-2222200-2-2-2-222-2-2-2-2-2-200000000000000000000000022-2-20000000000000000200
χ2122222-1222222-1-12-1-12-1-1-122-1-122-1-1222-1-1-1-1-1-1-1000000000000222222222-1-1-12-1-1-1000000000000-1-1-1-1-1-1-1-1000
χ2222222-1222222-1-12-1-12-1-1-122-1-122-1-1222-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-22-1-1-12-1-1-100000000000011111111000
χ2322222-1222222-1-12-1-12-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-10000000000002222-2-2-2-2-2111-2111000000000000-1-1-1-11111000
χ2422222-1222222-1-12-1-12-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-1000000000000-2-2-2-22222-2111-21110000000000001111-1-1-1-1000
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-2112-22-11111-1-10000000000002i2i−2i−2i2i2i−2i−2i2-1-1-1-2111000000000000−i−iii−i−iii000
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-2112-22-11111-1-1000000000000−2i−2i2i2i−2i−2i2i2i2-1-1-1-2111000000000000ii−i−iii−i−i000
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-211-222-11111-1-10000000000002i2i−2i−2i−2i−2i2i2i-21112-1-1-1000000000000−i−iiiii−i−i000
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-2-211-2-211-222-11111-1-1000000000000−2i−2i2i2i2i2i−2i−2i-21112-1-1-1000000000000ii−i−i−i−iii000
χ292222-122222-1-122-12-12-1-1-1-1-122-1-12222-12-1-1-1-1-1-100002222222200000000-12-1-1-12-1-10000-1-1-1-1-1-1-1-100000000000
χ302222-122222-1-122-12-12-1-1-1-1-122-1-12222-12-1-1-1-1-1-10000-2-2-2-2-2-2-2-200000000-12-1-1-12-1-100001111111100000000000
χ312222-122222-1-122-12-12-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-100002222-2-2-2-2000000001-2111-2110000-1-1-1-1111100000000000
χ322222-122222-1-122-12-12-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-10000-2-2-2-22222000000001-2111-21100001111-1-1-1-100000000000
χ332222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-22-2-121111-1-100002i2i−2i−2i2i2i−2i−2i00000000-12-1-11-2110000−i−iii−i−iii00000000000
χ342222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-22-2-121111-1-10000−2i−2i2i2i−2i−2i2i2i00000000-12-1-11-2110000ii−i−iii−i−i00000000000
χ352222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-2-22-121111-1-100002i2i−2i−2i−2i−2i2i2i000000001-211-12-1-10000−i−iiiii−i−i00000000000
χ362222-12-2-2-2-2-1-122-12-12-1-1-111-2-211-2-2-22-121111-1-10000−2i−2i2i2i2i2i−2i−2i000000001-211-12-1-10000ii−i−i−i−iii00000000000
χ372-22-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i0000002i−2i0022-2-21+i−1−i1−i−1+i00001+i−1−i1−i−1+i000000000000002i−2i1+i−1−i1−i−1+i00001+i−1−i1−i−1+i0000000
χ382-22-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i0000002i−2i0022-2-2−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i000000000000002i−2i−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i0000000
χ392-22-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i0000002i−2i00-2-2221+i−1−i1−i−1+i0000−1−i1+i−1+i1−i00000000000000−2i2i1+i−1−i1−i−1+i0000−1−i1+i−1+i1−i0000000
χ402-22-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i0000002i−2i00-2-222−1−i1+i−1+i1−i00001+i−1−i1−i−1+i00000000000000−2i2i−1−i1+i−1+i1−i00001+i−1−i1−i−1+i0000000
χ412-22-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i000000−2i2i0022-2-21−i−1+i1+i−1−i00001−i−1+i1+i−1−i00000000000000−2i2i1−i−1+i1+i−1−i00001−i−1+i1+i−1−i0000000
χ422-22-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i000000−2i2i0022-2-2−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i00000000000000−2i2i−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i0000000
χ432-22-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i000000−2i2i00-2-2221−i−1+i1+i−1−i0000−1+i1−i−1−i1+i000000000000002i−2i1−i−1+i1+i−1−i0000−1+i1−i−1−i1+i0000000
χ442-22-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i000000−2i2i00-2-222−1+i1−i−1−i1+i00001−i−1+i1+i−1−i000000000000002i−2i−1+i1−i−1−i1+i00001−i−1+i1+i−1−i0000000
χ452-2-22222i−2i00-22-22-2-220-22-22i−2i2i−2i000000002i−2i00002i−2i2i−2i00001+i−1−i1−i−1+i00001−i−1+i1+i−1−i000000002-20000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i000
χ462-2-22222i−2i00-22-22-2-220-22-22i−2i2i−2i000000002i−2i00002i−2i2i−2i0000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i000000002-2000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i000
χ472-2-22222i−2i00-22-22-2-220-22-22i−2i2i−2i000000002i−2i0000−2i2i−2i2i00001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i00000000-220000001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i000
χ482-2-22222i−2i00-22-22-2-220-22-22i−2i2i−2i000000002i−2i0000−2i2i−2i2i0000−1−i1+i−1+i1−i00001−i−1+i1+i−1−i00000000-22000000−1−i1+i−1+i1−i00001−i−1+i1+i−1−i000
χ492-2-2222−2i2i00-22-22-2-220-22-2−2i2i−2i2i00000000−2i2i00002i−2i2i−2i00001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i00000000-220000001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i000
χ502-2-2222−2i2i00-22-22-2-220-22-2−2i2i−2i2i00000000−2i2i00002i−2i2i−2i0000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i00000000-22000000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i000
χ512-2-2222−2i2i00-22-22-2-220-22-2−2i2i−2i2i00000000−2i2i0000−2i2i−2i2i00001−i−1+i1+i−1−i00001+i−1−i1−i−1+i000000002-20000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i000
χ522-2-2222−2i2i00-22-22-2-220-22-2−2i2i−2i2i00000000−2i2i0000−2i2i−2i2i0000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i000000002-2000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i000
χ5344444-244-4-444-2-24-2-2-4-2-2-244-2-2-4-42200-42-2-22222000000000000000000000000000000000000000000000000000
χ5444444-2-4-44444-2-24-2-2-4-2-2-2-4-42244-2-200-4222-2-222000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-2-244-24-2-4-2-2-2-2-24422-4-4002-4-2-22222000000000000000000000000000000000000000000000000000
χ564444-24-4-444-2-244-24-2-4-2-2-222-4-4-2-244002-422-2-222000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-211-2-21100000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000000000000022-1-122-1-100000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-100000000000000000000003-3003-300000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-10000000000000000000000-3300-3300000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20022-1-111-1-100000000000000000000003-300-3300000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20022-1-111-1-10000000000000000000000-33003-300000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-1-1-1-11100000000000000000000-2-21122-1-100000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-2-1-1-1-1110000000000000000000022-1-1-2-21100000000000000000000000
χ6544-4-4440000-4-4-4-44440-4-440000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ6644-4-4440000-4-4-4-44440-4-44000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ674-44-44-2004i−4i4-4-22-42-20-22200004i−4i−2i2i000000−2i2i000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000−1−i1+i−1+i1−i0000000
χ684-44-44-2004i−4i4-4-22-42-20-22200004i−4i−2i2i000000−2i2i00000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000001+i−1−i1−i−1+i0000000
χ694-44-44-200−4i4i4-4-22-42-20-2220000−4i4i2i−2i0000002i−2i000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000−1+i1−i−1−i1+i0000000
χ704-44-44-200−4i4i4-4-22-42-20-2220000−4i4i2i−2i0000002i−2i00000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000001−i−1+i1+i−1−i0000000
χ714-44-4-24004i−4i-224-42-4-20-2220000−2i2i4i−4i000000−2i2i0000002+2i−2−2i2−2i−2+2i000000000000000000000000−1−i1+i−1+i1−i000000000000000
χ724-44-4-24004i−4i-224-42-4-20-2220000−2i2i4i−4i000000−2i2i000000−2−2i2+2i−2+2i2−2i0000000000000000000000001+i−1−i1−i−1+i000000000000000
χ734-44-4-2400−4i4i-224-42-4-20-22200002i−2i−4i4i0000002i−2i0000002−2i−2+2i2+2i−2−2i000000000000000000000000−1+i1−i−1−i1+i000000000000000
χ744-44-4-2400−4i4i-224-42-4-20-22200002i−2i−4i4i0000002i−2i000000−2+2i2−2i−2−2i2+2i0000000000000000000000001−i−1+i1+i−1−i000000000000000
χ754-4-444-24i−4i00-442-2-42-202-224i−4i−2i2i00000000−2i2i000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000−1+i1−i−1−i1+i000
χ764-4-444-24i−4i00-442-2-42-202-224i−4i−2i2i00000000−2i2i00000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000001−i−1+i1+i−1−i000
χ774-4-444-2−4i4i00-442-2-42-202-22−4i4i2i−2i000000002i−2i000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000−1−i1+i−1+i1−i000
χ784-4-444-2−4i4i00-442-2-42-202-22−4i4i2i−2i000000002i−2i00000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000001+i−1−i1−i−1+i000
χ794-4-44-244i−4i002-2-442-4-202-22−2i2i4i−4i00000000−2i2i0000000000002+2i−2−2i2−2i−2+2i000000000000000000000000−1−i1+i−1+i1−i00000000000
χ804-4-44-244i−4i002-2-442-4-202-22−2i2i4i−4i00000000−2i2i000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000001+i−1−i1−i−1+i00000000000
χ814-4-44-24−4i4i002-2-442-4-202-222i−2i−4i4i000000002i−2i0000000000002−2i−2+2i2+2i−2−2i000000000000000000000000−1+i1−i−1−i1+i00000000000
χ824-4-44-24−4i4i002-2-442-4-202-222i−2i−4i4i000000002i−2i000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000001−i−1+i1+i−1−i00000000000
χ8388-8-88-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400004444-4-420-2-2200000000000000006-6000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400004444-4-420-2-220000000000000000-66000000000000000000000000000000000000000000000000000
χ878-88-8-4-4008i−8i-44-4444202-2-20000−4i4i−4i4i0000002i−2i00000000000000000000000000000000000000000000000000000
χ888-88-8-4-400−8i8i-44-4444202-2-200004i−4i4i−4i000000−2i2i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-48i−8i004-44-44420-22-2−4i4i−4i4i000000002i−2i0000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4−8i8i004-44-44420-22-24i−4i4i−4i00000000−2i2i0000000000000000000000000000000000000000000000000000000

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