Finite Group Databasebeta

← Group #11773422

Character table — Group #11773422

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111144444444444444444444448888888888888888888888889999999936363636363636363636363636363636363636363636
order122222223344444466666666666666121212121212121212121212121212121212121212121212222222224444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222-2-2-2-222000000222222-2-2-2-2-2-2-2-2000000000000000000000000222-22-2-2-20000000000002-20000002-2
χ182222-2-2-2-222000000222222-2-2-2-2-2-2-2-2000000000000000000000000222-22-2-2-2000000000000-22000000-22
χ192222-2-2-2-222000000222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-22-22220000000000002i−2i000000−2i2i
χ202222-2-2-2-222000000222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-22-2222000000000000−2i2i0000002i−2i
χ2122-2-222-2-22200002i−2i22-2-2-2-22222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i22-2-2-222-200002i−2i0000000000000000
χ2222-2-222-2-22200002i−2i22-2-2-2-22222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-2-2222-2-220000−2i2i0000000000000000
χ2322-2-222-2-2220000−2i2i22-2-2-2-22222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i22-2-2-222-20000−2i2i0000000000000000
χ2422-2-222-2-2220000−2i2i22-2-2-2-22222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-2-2222-2-2200002i−2i0000000000000000
χ2522-2-2-2-2222200000022-2-2-2-2-2-2-2-2222200000000000000000000000022-22-2-2-220000002i−2i0000002i−2i000000
χ2622-2-2-2-2222200000022-2-2-2-2-2-2-2-2222200000000000000000000000022-22-2-2-22000000−2i2i000000−2i2i000000
χ2722-2-2-2-2222200000022-2-2-2-2-2-2-2-22222000000000000000000000000-2-22-2222-20000002-2000000-22000000
χ2822-2-2-2-2222200000022-2-2-2-2-2-2-2-22222000000000000000000000000-2-22-2222-2000000-220000002-2000000
χ292-22-22-22-222002i−2i00-2-222-2-222-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i000000002-22-2-22-22002i−2i000000000000000000
χ302-22-22-22-222002i−2i00-2-222-2-222-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i00000000-22-222-22-200−2i2i000000000000000000
χ312-22-22-22-22200−2i2i00-2-222-2-222-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i000000002-22-2-22-2200−2i2i000000000000000000
χ322-22-22-22-22200−2i2i00-2-222-2-222-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i00000000-22-222-22-2002i−2i000000000000000000
χ332-22-2-22-2222000000-2-222-2-2-2-222-2-2220000000000000000000000002-222-2-22-2000000002i−2i0000002i−2i0000
χ342-22-2-22-2222000000-2-222-2-2-2-222-2-2220000000000000000000000002-222-2-22-200000000−2i2i000000−2i2i0000
χ352-22-2-22-2222000000-2-222-2-2-2-222-2-222000000000000000000000000-22-2-222-22000000002-2000000-220000
χ362-22-2-22-2222000000-2-222-2-2-2-222-2-222000000000000000000000000-22-2-222-2200000000-220000002-20000
χ372-2-222-2-22222i−2i0000-2-2-2-22222-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000002-2-2222-2-22i−2i00000000000000000000
χ382-2-222-2-22222i−2i0000-2-2-2-22222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000-222-2-2-222−2i2i00000000000000000000
χ392-2-222-2-2222−2i2i0000-2-2-2-22222-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000002-2-2222-2-2−2i2i00000000000000000000
χ402-2-222-2-2222−2i2i0000-2-2-2-22222-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000-222-2-2-2222i−2i00000000000000000000
χ412-2-22-222-222000000-2-2-2-222-2-22222-2-20000000000000000000000002-2-2-22-22200000000002-20000002-200
χ422-2-22-222-222000000-2-2-2-222-2-22222-2-20000000000000000000000002-2-2-22-2220000000000-22000000-2200
χ432-2-22-222-222000000-2-2-2-222-2-22222-2-2000000000000000000000000-2222-22-2-200000000002i−2i000000−2i2i00
χ442-2-22-222-222000000-2-2-2-222-2-22222-2-2000000000000000000000000-2222-22-2-20000000000−2i2i0000002i−2i00
χ45444444441-24444441-21-21-21-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000000000000000
χ46444444441-244-4-4-4-41-21-21-21-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000000000000000
χ47444444441-2-4-444-4-41-21-21-21-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-122000000000000000000000000000000
χ48444444441-2-4-4-4-4441-21-21-21-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-2000000000000000000000000000000
χ4944444444-21444444-21-21-21-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000000000000000
χ5044444444-2144-4-4-4-4-21-21-21-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000000000000000
χ5144444444-21-4-444-4-4-21-21-21-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-1000000000000000000000000000000
χ5244444444-21-4-4-4-444-21-21-21-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-211000000000000000000000000000000
χ5344-4-444-4-41-200004i−4i1-2-12-121-21-2-12-123-3003-3003i−3i003i−3i00ii−2i−2i−i−i2i2i000000000000000000000000000000
χ5444-4-444-4-41-200004i−4i1-2-12-121-21-2-12-12-3300-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i000000000000000000000000000000
χ5544-4-444-4-41-20000−4i4i1-2-12-121-21-2-12-123-3003-300−3i3i00−3i3i00−i−i2i2iii−2i−2i000000000000000000000000000000
χ5644-4-444-4-41-20000−4i4i1-2-12-121-21-2-12-12-3300-33003i−3i003i−3i00−i−i2i2iii−2i−2i000000000000000000000000000000
χ5744-4-444-4-4-2100004i−4i-212-12-1-21-212-12-1003-3003-3003i−3i003i−3i−2i−2iii2i2i−i−i000000000000000000000000000000
χ5844-4-444-4-4-2100004i−4i-212-12-1-21-212-12-100-3300-3300−3i3i00−3i3i−2i−2iii2i2i−i−i000000000000000000000000000000
χ5944-4-444-4-4-210000−4i4i-212-12-1-21-212-12-1003-3003-300−3i3i00−3i3i2i2i−i−i−2i−2iii000000000000000000000000000000
χ6044-4-444-4-4-210000−4i4i-212-12-1-21-212-12-100-3300-33003i−3i003i−3i2i2i−i−i−2i−2iii000000000000000000000000000000
χ614-44-44-44-41-2004i−4i00-121-2-121-2-121-2-123i−3i00−3i3i00ii−2i−2i−i−i2i2i3-3003-300000000000000000000000000000000
χ624-44-44-44-41-2004i−4i00-121-2-121-2-121-2-12−3i3i003i−3i00ii−2i−2i−i−i2i2i-3300-3300000000000000000000000000000000
χ634-44-44-44-41-200−4i4i00-121-2-121-2-121-2-123i−3i00−3i3i00−i−i2i2iii−2i−2i-3300-3300000000000000000000000000000000
χ644-44-44-44-41-200−4i4i00-121-2-121-2-121-2-12−3i3i003i−3i00−i−i2i2iii−2i−2i3-3003-300000000000000000000000000000000
χ654-44-44-44-4-21004i−4i002-1-212-1-212-1-212-1003i−3i00−3i3i−2i−2iii2i2i−i−i003-3003-3000000000000000000000000000000
χ664-44-44-44-4-21004i−4i002-1-212-1-212-1-212-100−3i3i003i−3i−2i−2iii2i2i−i−i00-3300-33000000000000000000000000000000
χ674-44-44-44-4-2100−4i4i002-1-212-1-212-1-212-1003i−3i00−3i3i2i2i−i−i−2i−2iii00-3300-33000000000000000000000000000000
χ684-44-44-44-4-2100−4i4i002-1-212-1-212-1-212-100−3i3i003i−3i2i2i−i−i−2i−2iii003-3003-3000000000000000000000000000000
χ694-4-444-4-441-24i−4i0000-12-121-21-2-12-121-2ii−2i−2i−i−i2i2i3-300-3300−3i3i003i−3i00000000000000000000000000000000
χ704-4-444-4-441-24i−4i0000-12-121-21-2-12-121-2ii−2i−2i−i−i2i2i-33003-3003i−3i00−3i3i00000000000000000000000000000000
χ714-4-444-4-441-2−4i4i0000-12-121-21-2-12-121-2−i−i2i2iii−2i−2i3-300-33003i−3i00−3i3i00000000000000000000000000000000
χ724-4-444-4-441-2−4i4i0000-12-121-21-2-12-121-2−i−i2i2iii−2i−2i-33003-300−3i3i003i−3i00000000000000000000000000000000
χ734-4-444-4-44-214i−4i00002-12-1-21-212-12-1-21−2i−2iii2i2i−i−i003-300-3300−3i3i003i−3i000000000000000000000000000000
χ744-4-444-4-44-214i−4i00002-12-1-21-212-12-1-21−2i−2iii2i2i−i−i00-33003-3003i−3i00−3i3i000000000000000000000000000000
χ754-4-444-4-44-21−4i4i00002-12-1-21-212-12-1-212i2i−i−i−2i−2iii003-300-33003i−3i00−3i3i000000000000000000000000000000
χ764-4-444-4-44-21−4i4i00002-12-1-21-212-12-1-212i2i−i−i−2i−2iii00-33003-300−3i3i003i−3i000000000000000000000000000000
χ778888-8-8-8-82-40000002-42-42-4-24-24-24-24000000000000000000000000000000000000000000000000000000
χ788888-8-8-8-8-42000000-42-42-424-24-24-24-2000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-8882-40000002-4-24-24-24-242-42-4000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-888-42000000-424-24-24-24-2-42-42000000000000000000000000000000000000000000000000000000
χ818-88-8-88-882-4000000-242-4-24-242-4-242-4000000000000000000000000000000000000000000000000000000
χ828-88-8-88-88-420000004-2-424-24-2-424-2-42000000000000000000000000000000000000000000000000000000
χ838-8-88-888-82-4000000-24-242-4-242-42-4-24000000000000000000000000000000000000000000000000000000
χ848-8-88-888-8-420000004-24-2-424-2-42-424-2000000000000000000000000000000000000000000000000000000

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