Finite Group Databasebeta

← Group #11789900

Character table — Group #11789900

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121244448888121212121212121224242424242424242244666612121212888844
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
χ911-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−i
χ1011-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111−ii
χ1111-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111−ii
χ1211-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii-11-11-1-111-1-11111-1-1i−i
χ1311-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−ii
χ1411-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111i−i
χ1511-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111i−i
χ1611-11-1-11-1111-1-111-1-111-1-1-111-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−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
χ19222222222-12222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ20222222222-12222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ21222222222-12222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ22222222222-12222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
χ2322222222-122222-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ2422222222-122222-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ2522222222-122222-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ2622222222-122222-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ2722222222-12-2-2-2-2-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000000000−i3i3−i3i3000000
χ2822222222-12-2-2-2-2-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-10000000000000000i3−i3i3−i3000000
χ2922222222-12-2-2-2-2-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000000000i3−i3i3−i3000000
χ3022222222-12-2-2-2-2-1-1-122222-122-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000000000−i3i3−i3i3000000
χ3122-22-2-22-222-222-22-2-222-2-2-222-2-2-22222-2-2-22-2-2-2-2-222220000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ3222-22-2-22-222-222-22-2-222-2-2-222-2-2-22222-2-2-22-2-2-2-2-222220000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ3322-22-2-22-22-12-2-222-2-2-1-11112-11-2-22-1-1-1111-1122-1-1-2-2112i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii2-200-1-1110000000000
χ3422-22-2-22-22-12-2-222-2-2-1-11112-11-2-22-1-1-1111-1122-1-1-2-2112i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i-220011-1-10000000000
χ3522-22-2-22-22-12-2-222-2-2-1-11112-11-2-22-1-1-1111-1122-1-1-2-211−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii-220011-1-10000000000
χ3622-22-2-22-22-12-2-222-2-2-1-11112-11-2-22-1-1-1111-1122-1-1-2-211−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i2-200-1-1110000000000
χ3722-22-2-22-2-122-2-22-11122-2-2-2-12-211-1-1-1-1111-11-1-12211-2-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii2i−2i2i−2i0000−i−iii−i−iii00000000002-20000-1-111000000
χ3822-22-2-22-2-122-2-22-11122-2-2-2-12-211-1-1-1-1111-11-1-12211-2-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii−2i2i−2i2i0000ii−i−iii−i−i0000000000-22000011-1-1000000
χ3922-22-2-22-2-122-2-22-11122-2-2-2-12-211-1-1-1-1111-11-1-12211-2-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i2i−2i2i−2i0000−i−iii−i−iii0000000000-22000011-1-1000000
χ4022-22-2-22-2-122-2-22-11122-2-2-2-12-211-1-1-1-1111-11-1-12211-2-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i−2i2i−2i2i0000ii−i−iii−i−i00000000002-20000-1-111000000
χ4122-22-2-22-2-12-222-2-11122-2-2-2-12-211-1-1-1-1111-1111-2-2-1-1220000003−3−3311-1-133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i0000000000000000−i3i3i3−i3000000
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χ512-222-2-2-222-1-22-22-22211-1-112-11-2-2-2-111-1-11-11-221-1-22-1100−33−3300001-11-1−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii0000i3−i3i3−i30000000000
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χ874-444-4-4-44-2-2-44-442-2-222-2-22-2-222221-1-111-11-12-22-22-2-2200−2323−23230000-11-113−33−33−33−3000000000000000000000000000000000000000000
χ884-44-4-444-4440000-44-4-444-4-4-4-44-4444-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-4-444-44-20000-44-42-2-222-42-2-444-22-2-2222-20000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ904-44-4-444-44-20000-44-42-2-222-42-2-444-22-2-2222-20000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ914-44-4-444-4-2400002-22-444-4-42-442-2-2-22-2-2222-2000000000000000000000000000000000000000000−2i32i3−2i32i300000000000000000000000000
χ924-44-4-444-4-2400002-22-444-4-42-442-2-2-22-2-2222-20000000000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000000
χ934-4-4444-4-44-244-4-4-4-4-42222-24-2-244-4-22222-2-2-24-4-22-44-220000000000-222-200000000000000000000000000000000000000000000000000
χ944-4-4444-4-4-2444-4-4222-4-4-4-44-244-2-22-22222-2-2-2-224-42-24-40000000000-222-200000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-24-4-444222-4-4-4-44-244-2-22-22222-2-2-22-2-44-22-4400000000002-2-2200000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-244-4-42222222-2-2-2-2-2-221-1-1-1-1111-22-222-2-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-244-4-42222222-2-2-2-2-2-221-1-1-1-1111-22-222-2-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-4-4442222222-2-2-2-2-2-221-1-1-1-11112-22-2-222-200−2i32i32i3−2i30000-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-2-4-4442222222-2-2-2-2-2-221-1-1-1-11112-22-2-222-2002i3−2i3−2i32i30000-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1004-4-4-44-444440000-4-44-44-444-4-4-44-444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-20000-4-442-22-2-2-4224-44-22-22-2-22200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1024-4-4-44-4444-20000-4-442-22-2-2-4224-44-22-22-2-2220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ1034-4-4-44-444-24000022-2-44-4442-4-4-22-2-22-22-2-22200000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ1044-4-4-44-444-24000022-2-44-4442-4-4-22-2-22-22-2-222000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ105888-88-8-8-8-4-40000-4-44-44-44-4444-44422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-44-4-444-4444-44-4422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-888-8-4-400004-444-4-44444-44-4-42-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-4000044-44-44-4-4444-44-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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