Finite Group Databasebeta

← Group #11790213

Character table — Group #11790213

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−ii−i
χ101-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i-1-111ii−i−iii−i−i-1-1-1-11111-11i−i-1-111ii−i−i−i−iii−ii
χ111-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−ii
χ121-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii-1-111−i−iii−i−iii-1-1-1-11111-11−ii-1-111−i−iiiii−i−ii−i
χ131-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1-11−ii-1-111−i−iiiii−i−i−ii
χ141-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i-1-111ii−i−iii−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iiii−i
χ151-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1-11i−i-1-111ii−i−i−i−iiii−i
χ161-1-111-11-1111-11-11-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii-1-111−i−iii−i−iii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-12222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-122-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ20222222222-12222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-122-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ21222222222-12222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-122-122-1-1-1-2-2-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ22222222222-12222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-122-122-1-1-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
χ2322222222-122222-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-12-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
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χ2522222222-122222-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ2622222222-122222-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ2722222222-12-2-2-2-2-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-111-211-2-2-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000000000−i3i3−i3i3000000
χ2822222222-12-2-2-2-2-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-111-211-2-2-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-10000000000000000i3−i3i3−i3000000
χ2922222222-12-2-2-2-2-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-111-211-2-2-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000000000i3−i3i3−i3000000
χ3022222222-12-2-2-2-2-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-111-211-2-2-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000000000−i3i3−i3i3000000
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χ332222-2-2-2-222-222-2-22222-2-222-2-2-2-2-22-222-2-22-2-22-2-22-2220000000000-22-220000000000002-22-20000000022-2-222-2-2000000000000000000
χ342222-2-2-2-222-222-2-22222-2-222-2-2-2-2-22-222-2-22-2-22-2-22-2220000000000-22-22000000000000-22-2200000000-2-222-2-222000000000000000000
χ352222-2-2-2-22-1-222-2-222-1-1112-1-21-21-2-11-1-111-11-221-221-1-100003−3003−31-11-13−33−33−33−300002-22-200000000-1-111-1-11100003−33−30000000000
χ362222-2-2-2-22-1-222-2-222-1-1112-1-21-21-2-11-1-111-11-221-221-1-100003−3003−31-11-13−33−33−33−30000-22-220000000011-1-111-1-10000−33−330000000000
χ372222-2-2-2-22-1-222-2-222-1-1112-1-21-21-2-11-1-111-11-221-221-1-10000−3300−331-11-1−33−33−33−3300002-22-200000000-1-111-1-1110000−33−330000000000
χ382222-2-2-2-22-1-222-2-222-1-1112-1-21-21-2-11-1-111-11-221-221-1-10000−3300−331-11-1−33−33−33−330000-22-220000000011-1-111-1-100003−33−30000000000
χ392-2-222-22-222-22-222-2-2-2-2-2-22222-22-222-2-2-2-222-2-2-22222-20000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ402-2-222-22-222-22-222-2-2-2-2-2-22222-22-222-2-2-2-222-2-2-22222-20000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ412-2-222-22-22-12-22-22-2-211112-12-1-2-1-2-1-11111-1-122-1-2-211-12-222-1-1-2-211-1-111-1-1-1-11111000022-2-200000000-1-1-1-111112-200-1-1110000000000
χ422-2-222-22-22-12-22-22-2-211112-12-1-2-1-2-1-11111-1-122-1-2-211-12-222-1-1-2-211-1-111-1-1-1-111110000-2-222000000001111-1-1-1-1-220011-1-10000000000
χ432-2-222-22-22-12-22-22-2-211112-12-1-2-1-2-1-11111-1-122-1-2-211-1-22-2-21122-1-1-1-1111111-1-1-1-1000022-2-200000000-1-1-1-11111-220011-1-10000000000
χ442-2-222-22-22-12-22-22-2-211112-12-1-2-1-2-1-11111-1-122-1-2-211-1-22-2-21122-1-1-1-1111111-1-1-1-10000-2-222000000001111-1-1-1-12-200-1-1110000000000
χ452-2-222-22-2-122-22-2-111-2-2-2-2-12-12121-1-11111-1-1-1-1211-2-222-2-1-12211-2-2-1-111-1-1-1-111112i−2i2i−2i0000−i−iii−i−iii00000000002i−2i0000−i−iii000000
χ462-2-222-22-2-122-22-2-111-2-2-2-2-12-12121-1-11111-1-1-1-1211-2-222-2-1-12211-2-2-1-111-1-1-1-11111−2i2i−2i2i0000ii−i−iii−i−i0000000000−2i2i0000ii−i−i000000
χ472-2-222-22-2-122-22-2-111-2-2-2-2-12-12121-1-11111-1-1-1-1211-2-22-2211-2-2-1-122-1-1111111-1-1-1-12i−2i2i−2i0000−i−iii−i−iii0000000000−2i2i0000ii−i−i000000
χ482-2-222-22-2-122-22-2-111-2-2-2-2-12-12121-1-11111-1-1-1-1211-2-22-2211-2-2-1-122-1-1111111-1-1-1-1−2i2i−2i2i0000ii−i−iii−i−i00000000002i−2i0000−i−iii000000
χ492-2-222-22-2-12-22-22-111-2-2-2-2-12-12121-1-11111-1-111-2-1-122-200−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i00000000000000003−3−33000000
χ502-2-222-22-2-12-22-22-111-2-2-2-2-12-12121-1-11111-1-111-2-1-122-200−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i0000ii−i−i−i−iii0000000000000000−333−3000000
χ512-2-222-22-2-12-22-22-111-2-2-2-2-12-12121-1-11111-1-111-2-1-122-200i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32i−2i−2i2i0000−i−iiiii−i−i0000000000000000−333−3000000
χ522-2-222-22-2-12-22-22-111-2-2-2-2-12-12121-1-11111-1-111-2-1-122-200i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i0000ii−i−i−i−iii00000000000000003−3−33000000
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χ934-4-444-44-44-2-44-444-4-422224-24-2-4-2-4-2-22222-2-2-4-4244-2-22000000000022-2-200000000000000000000000000000000000000000000000000
χ944-4-444-44-4-2-24-44-4-2222222-2-2-2-22-2211-1-1-1-111-2-2-22222-24-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ954-4-444-44-4-2-24-44-4-2222222-2-2-2-22-2211-1-1-1-111-2-2-22222-2-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ964-4-444-44-4-2-2-44-44-2222222-2-2-2-22-2211-1-1-1-111222-2-2-2-2200−2i32i3002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ974-4-444-44-4-2-2-44-44-2222222-2-2-2-22-2211-1-1-1-111222-2-2-2-22002i3−2i300−2i32i300-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ984-4-44-44-444-244-4-4-4-4-422-2-24-2-42424-2222-2-2-224-4-2-442-220000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-44-44-44-2444-4-4222-4-444-242-4-2-4-2-2222-2-2-22-2242-2-44-40000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-44-44-44-24-4-444222-4-444-242-4-2-4-2-2222-2-2-222-2-4-224-4400000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-2-244-4-422222-2-2-2-222-22-21-1-1-1111-1-22-22-22-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-44-44-44-2-244-4-422222-2-2-2-222-22-21-1-1-1111-1-22-22-22-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-44-44-44-2-2-4-44422222-2-2-2-222-22-21-1-1-1111-12-22-22-22-2000023−2300−2323-111-1−33−333−33−3000000000000000000000000000000000000000000
χ1044-4-44-44-44-2-2-4-44422222-2-2-2-222-22-21-1-1-1111-12-22-22-22-20000−23230023−23-111-13−33−3−33−33000000000000000000000000000000000000000000
χ10588-8-888-8-8-4-400004-44-44-4444-4-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4-44-444-444444-4-4222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-4000044-44-44-444-4-444-42-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-40000-44-44-4-444444-4-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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