Finite Group Databasebeta

← Group #11790765

Character table — Group #11790765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12222222334444666666666666663666666612121212121212122266666666666666661212121244448888121212121212121224242424242424242244666612121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−ii−i
χ101-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii−ii
χ111-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i−i−iii−ii
χ121-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iiiii−i−ii−i
χ131-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i−ii
χ141-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iiii−i
χ151-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iiii−i
χ161-1-1111-1-11111-1-111-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22-22-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-22-220000-2-222-2-22200000000000000000000000000
χ19222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2111111111111-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i311112-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
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χ25222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i311112-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2922222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-1-2-21111-2-2-2-211111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-122-122-1-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ312222-2-2-2-2222-22-2-2-222-222-2-222-2-2-22-2-222-2-222-22-2-22-220000000000000000002-22-20000000000000000000000000000000000002i−2i2i−2i00
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χ342222-2-2-2-222-22-22-2-222-222-2-222-2-2-22-2-222-2-22-22-222-22-2000000000000000000-22-220000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ352222-2-2-2-2-12-22-2211-1-1122-2-2-12-2-21-111-1-111-11-1-22-1-22100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i31-11-100002i−2i2i−2i00000000−i−iii−i−iii000000003−33−3000000
χ362222-2-2-2-2-12-22-2211-1-1122-2-2-12-2-21-111-1-111-11-1-22-1-22100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i31-11-10000−2i2i−2i2i00000000ii−i−iii−i−i00000000−33−33000000
χ372222-2-2-2-2-12-22-2211-1-1122-2-2-12-2-21-111-1-111-11-1-22-1-22100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i31-11-100002i−2i2i−2i00000000−i−iii−i−iii00000000−33−33000000
χ382222-2-2-2-2-12-22-2211-1-1122-2-2-12-2-21-111-1-111-11-1-22-1-22100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i31-11-10000−2i2i−2i2i00000000ii−i−iii−i−i000000003−33−3000000
χ392-2-2222-2-222-2-22222-2-2-2-2-2-2-22222-2222-2-2-2-22-2-2-2-22222000000000000000000-2-2222-2-22000022-2-2-2-22200000000000000000000000000
χ402-2-2222-2-222-2-22222-2-2-2-2-2-2-22222-2222-2-2-2-22-2-2-2-22222000000000000000000-2-222-222-20000-2-22222-2-200000000000000000000000000
χ412-2-2222-2-22-122-2-222-2-2-211112-1-1-1-2-1-1-11111-122-1-1-211-22-222-2-2-1-111-1-1-1-11111-1-11122-2-20000-1-1-1-11111000000002-200-1-1110000000000
χ422-2-2222-2-22-122-2-222-2-2-211112-1-1-1-2-1-1-11111-122-1-1-211-22-222-2-2-1-111-1-1-1-11111-1-111-2-22200001111-1-1-1-100000000-220011-1-10000000000
χ432-2-2222-2-22-122-2-222-2-2-211112-1-1-1-2-1-1-11111-122-1-1-211-2-22-2-22211-1-11111-1-1-1-1-1-11122-2-20000-1-1-1-1111100000000-220011-1-10000000000
χ442-2-2222-2-22-122-2-222-2-2-211112-1-1-1-2-1-1-11111-122-1-1-211-2-22-2-22211-1-11111-1-1-1-1-1-111-2-22200001111-1-1-1-1000000002-200-1-1110000000000
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χ492-2-2222-2-2-1222-2-2-1-1111-2-2-2-2-12221-1-1-11111-1-1-1221-2-212-2-1-11122-2-2-1-1-1-11111-1-11100002i2i−2i−2i00000000−i−i−i−iiiii002i−2i0000−i−iii000000
χ502-2-2222-2-2-1222-2-2-1-1111-2-2-2-2-12221-1-1-11111-1-1-1221-2-212-2-1-11122-2-2-1-1-1-11111-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2i0000ii−i−i000000
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χ522-2-2222-2-2-1222-2-2-1-1111-2-2-2-2-12221-1-1-11111-1-1-1221-2-21-2211-1-1-2-2221111-1-1-1-1-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i002i−2i0000−i−iii000000
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χ894-44-4-444-44-20000-44-44-42-2-22-422-24-22-22-2-2220000000000000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000000
χ904-44-4-444-44-20000-44-44-42-2-22-422-24-22-22-2-22200000000000000000000000000000000000000002i3−2i300−2i32i300000000000000000000000000
χ914-44-4-444-4-2400002-22-22-444-42-4-44-2-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ924-44-4-444-4-2400002-22-22-444-42-4-44-2-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ934-4-4444-4-4-24-4-444-2-2222-4-4-4-4-24442-2-2-22222-222-4-4-244-200000000000000000022-2-2000000000000000000000000000000000000000000
χ944-4-4444-4-4-2-244-4-4-2-22222222-2-2-2-22111-1-1-1-11-2-2-2-222224-4-2-222-2-2221111-1-1-1-111-1-1000000000000000000000000000000000000000000
χ954-4-4444-4-4-2-244-4-4-2-22222222-2-2-2-22111-1-1-1-11-2-2-2-22222-4422-2-222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-2-4-444-2-22222222-2-2-2-22111-1-1-1-112222-2-2-2-2000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-1-111000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-4-444-2-22222222-2-2-2-22111-1-1-1-112222-2-2-2-20000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-1-111000000000000000000000000000000000000000000
χ984-4-44-4-4444-24-4-44-4-4-4-4422-2-24-2224-22222-2-2-24-4-2242-2-4000000000000000000-222-2000000000000000000000000000000000000000000
χ994-4-44-4-4444-2-444-4-4-4-4-4422-2-24-2224-22222-2-2-2-442-2-4-2240000000000000000002-2-22000000000000000000000000000000000000000000
χ1004-4-44-4-444-244-4-442222-2-4-444-24-4-4-2-22222-2-2-2-224-4-2-442000000000000000000-222-2000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-24-4-442222-222-2-2-2-222-21-1-1-1-1111-22-22-22-2200000000003-3-33-333-31-1-11000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-24-4-442222-222-2-2-2-222-21-1-1-1-1111-22-22-22-220000000000-333-33-3-331-1-11000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-2-444-42222-222-2-2-2-222-21-1-1-1-11112-22-22-22-200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3-111-1000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-444-42222-222-2-2-2-222-21-1-1-1-11112-22-22-22-2002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3-111-1000000000000000000000000000000000000000000
χ10588-8-88-88-8-4-40000-44-444-44-4444-44-422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-400004-4-44-4-444-4444-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-40000-444-4-44-44-444-44422-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-400004-44-444-4-44444-4-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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