Finite Group Databasebeta

← Group #11790317

Character table — Group #11790317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-1ii−i−i
χ101-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111i−i−iiii−i−i−i−iii-11−i−iii
χ111-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−iii−i−i−iiiii−i−i-11−i−iii
χ121-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−ii−ii−i−iii−i−iii1-1ii−i−i
χ131-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-1−i−iii
χ141-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111−iii−i−i−iiiii−i−i-11ii−i−i
χ151-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111i−i−iiii−i−i−i−iii-11ii−i−i
χ161-1-11-111-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i1-1−i−iii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1-122-1-12-12-12-1-12222-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ20222222222-1222222-1-122-1-12-12-12-1-12222-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ21222222222-1222222-1-122-1-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-12-122-1-12-1-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ22222222222-1222222-1-122-1-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-12-122-1-12-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2322222222-122222-1-122-1-122-12-12-12-12222-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-122-12-12-12-12222-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2522222222-122222-1-122-1-122-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2622222222-122222-1-122-1-122-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ27222-2-22-2-22200002-22-22222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-22-2-22200002-22-22222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-22-2-22200002-22-22222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-22-2-22200002-22-22222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−22−22−22−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-222-2-2-22222-2-2-2-2-2-22-22-22222-2-222-22-2-2-22-2-222222-22-2-2-22-22-22-22-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ3222-222-2-2-22222-2-2-2-2-2-22-22-22222-2-22-22-22-2-22-2-222222-22-2-2-2-22-22-22-222-22-2-2-222-2-2220000000000000000000000000000000000000000000000
χ3322-222-2-2-222-2-222-2-2-2-22-22-22222-2-220000-2-22-2-222-2-2-22-222200000000-22-22000000000000000000000000000000000000000000000000002i−2i2i−2i
χ3422-222-2-2-222-2-222-2-2-2-22-22-22222-2-220000-2-22-2-222-2-2-22-222200000000-22-2200000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3522-222-2-2-22-122-2-2-2-2112-2-112-12-1-21-12-22-211-111-1-12-12-2-11-212-2-112-2-11-11-11-1-111-1-11100000000000000003−33−33−33−30000000000003−33−3000000
χ3622-222-2-2-22-122-2-2-2-2112-2-112-12-1-21-12-22-211-111-1-12-12-2-11-212-2-112-2-11-11-11-1-111-1-1110000000000000000−33−33−33−33000000000000−33−33000000
χ3722-222-2-2-22-122-2-2-2-2112-2-112-12-1-21-1-22-2211-111-1-12-12-2-11-21-221-1-221-1-11-1111-1-111-1-100000000000000003−33−33−33−3000000000000−33−33000000
χ3822-222-2-2-22-122-2-2-2-2112-2-112-12-1-21-1-22-2211-111-1-12-12-2-11-21-221-1-221-1-11-1111-1-111-1-10000000000000000−33−33−33−330000000000003−33−3000000
χ3922-222-2-2-2-1222-2-211-2-2-112-2-12-121-2-12-22-211-111-1-1-12-112-21-2-112-2-112-2-11-11-1-111-1-111000000003−33−33−33−300000000000000003−33−30000000000
χ4022-222-2-2-2-1222-2-211-2-2-112-2-12-121-2-12-22-211-111-1-1-12-112-21-2-112-2-112-2-11-11-1-111-1-11100000000−33−33−33−330000000000000000−33−330000000000
χ4122-222-2-2-2-1222-2-211-2-2-112-2-12-121-2-1-22-2211-111-1-1-12-112-21-21-1-221-1-22-11-1111-1-111-1-1000000003−33−33−33−30000000000000000−33−330000000000
χ4222-222-2-2-2-1222-2-211-2-2-112-2-12-121-2-1-22-2211-111-1-1-12-112-21-21-1-221-1-22-11-1111-1-111-1-100000000−33−33−33−3300000000000000003−33−30000000000
χ432-222-2-2-22222-22-2-2-2-2-2-22-2222-2-22222i−2i−2i2i-2-2-2222-222-22-22-2-22i−2i2i−2i−2i2i−2i2i2-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ442-222-2-2-22222-22-2-2-2-2-2-22-2222-2-2222−2i2i2i−2i-2-2-2222-222-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ452-222-2-2-2222-22-22-2-2-2-2-22-2222-2-22220000-2-2-2222-2-2-22-22-22200000000-222-2000000000000000000000000000000000000000000000000002-2-22
χ462-222-2-2-2222-22-22-2-2-2-2-22-2222-2-22220000-2-2-2222-2-2-22-22-22200000000-222-200000000000000000000000000000000000000000000000000-222-2
χ472-222-2-2-222-12-22-2-2-211-221-12-1-212-1-12i−2i−2i2i111-1-1-112-1-221-1-212i−2i−ii−2i2ii−i-111-1−i−iiiii−i−i00000000000000003−33−3−33−33000000000000i3−i3−i3i3000000
χ482-222-2-2-222-12-22-2-2-211-221-12-1-212-1-12i−2i−2i2i111-1-1-112-1-221-1-212i−2i−ii−2i2ii−i-111-1−i−iiiii−i−i0000000000000000−33−333−33−3000000000000−i3i3i3−i3000000
χ492-222-2-2-222-12-22-2-2-211-221-12-1-212-1-1−2i2i2i−2i111-1-1-112-1-221-1-21−2i2ii−i2i−2i−ii-111-1ii−i−i−i−iii00000000000000003−33−3−33−33000000000000−i3i3i3−i3000000
χ502-222-2-2-222-12-22-2-2-211-221-12-1-212-1-1−2i2i2i−2i111-1-1-112-1-221-1-21−2i2ii−i2i−2i−ii-111-1ii−i−i−i−iii0000000000000000−33−333−33−3000000000000i3−i3−i3i3000000
χ512-222-2-2-22-122-22-211-2-21-1-22-121-2-12-12i−2i−2i2i111-1-1-11-121-1-221-2−ii2i−2ii−i−2i2i-111-1−i−iiiii−i−i000000003−33−3−33−330000000000000000i3−i3−i3i30000000000
χ522-222-2-2-22-122-22-211-2-21-1-22-121-2-12-12i−2i−2i2i111-1-1-11-121-1-221-2−ii2i−2ii−i−2i2i-111-1−i−iiiii−i−i00000000−33−333−33−30000000000000000−i3i3i3−i30000000000
χ532-222-2-2-22-122-22-211-2-21-1-22-121-2-12-1−2i2i2i−2i111-1-1-11-121-1-221-2i−i−2i2i−ii2i−2i-111-1ii−i−i−i−iii000000003−33−3−33−330000000000000000−i3i3i3−i30000000000
χ542-222-2-2-22-122-22-211-2-21-1-22-121-2-12-1−2i2i2i−2i111-1-1-11-121-1-221-2i−i−2i2i−ii2i−2i-111-1ii−i−i−i−iii00000000−33−333−33−30000000000000000i3−i3−i3i30000000000
χ552-2-22-222-222-222-22222-2-2-2-222-2-2-2-22000022-2-2-22-2-2-22222-2-200000000-2-2220000000000000000000000000000000022-2-2000000000000-220000
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χ572-2-22-222-22-12-2-2222-1-1-2-2112-1-21-21-12i2i−2i−2i-1-1111-112-1-2-2112-12i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-111110000002i−2i0000−i−iii000000
χ582-2-22-222-22-12-2-2222-1-1-2-2112-1-21-21-12i2i−2i−2i-1-1111-112-1-2-2112-12i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-1000000−2i2i0000ii−i−i000000
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χ622-2-22-222-2-122-2-22-1-12211-2-2-121-21-2-12i2i−2i−2i-1-1111-11-1211-2-2-12−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-2-22200001111-1-1-1-1000000000000−2i2i00ii−i−i0000000000
χ632-2-22-222-2-122-2-22-1-12211-2-2-121-21-2-1−2i−2i2i2i-1-1111-11-1211-2-2-12ii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i22-2-20000-1-1-1-11111000000000000−2i2i00ii−i−i0000000000
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χ8644-4-4-4-4444-20000-442-24-4-22-42-424-2-200002-2-22-222000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ8744-4-4-4-4444-20000-442-24-4-22-42-424-2-200002-2-22-22200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ8844-4-4-4-444-2400002-2-44-224-42-42-4-24-200002-2-22-2220000000000000000000000000000000000006−6−666−6−66000000000000000000000000000000
χ8944-4-4-4-444-2400002-2-44-224-42-42-4-24-200002-2-22-222000000000000000000000000000000000000−666−6−666−6000000000000000000000000000000
χ904-444-4-4-444-2-44-44-4-422-442-24-2-424-2-20000222-2-2-22-424-4-224-2000000002-2-22000000000000000000000000000000000000000000000000000000
χ914-444-4-4-44-24-44-4422-4-42-2-44-242-4-24-20000222-2-2-222-4-224-4-24000000002-2-22000000000000000000000000000000000000000000000000000000
χ924-444-4-4-44-2-24-44-422222-22-2-2-222-2-214i−4i−4i4i-1-1-1111-1-2-22-22-222−2i2i−2i2i2i−2i2i−2i1-1-11ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-24-44-422222-22-2-2-222-2-21−4i4i4i−4i-1-1-1111-1-2-22-22-2222i−2i2i−2i−2i2i−2i2i1-1-11−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ944-444-4-4-44-2-2-44-4422222-22-2-2-222-2-210000-1-1-1111-122-22-22-2-200000000-111-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ954-444-4-4-44-2-2-44-4422222-22-2-2-222-2-210000-1-1-1111-122-22-22-2-200000000-111-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ964-44-44-44-4440000-44-44-44-44-4-444-4-440000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-44-44-44-20000-442-2-442-2-424-2-42-200002-22-222-2000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ984-44-44-44-44-20000-442-2-442-2-424-2-42-200002-22-222-200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ994-44-44-44-4-2400002-2-442-2-442-4-242-4-200002-22-222-20000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ1004-44-44-44-4-2400002-2-442-2-442-4-242-4-200002-22-222-2000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ1014-4-44-444-44-2-444-444-2-2-4-4224-2-42-42-20000-2-2222-22-4244-2-2-420000000022-2-2000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-24-444-4-2-24422-4-4-242-42-4-20000-2-2222-222-4-2-2442-40000000022-2-2000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-44-2-2-2-22222-2-2222214i4i−4i−4i11-1-1-11-1-2-22222-2-2−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-24-4-44-2-2-2-22222-2-222221−4i−4i4i4i11-1-1-11-1-2-22222-2-22i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-4-2-2-2-22222-2-222221000011-1-1-11-122-2-2-2-22200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1064-4-44-444-4-2-2-444-4-2-2-2-22222-2-222221000011-1-1-11-122-2-2-2-22200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ1074-4-4-444-444-200004-4-22-4-422-424-24-2-20000-2222-22-20000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000000000
χ1084-4-4-444-444-200004-4-22-4-422-424-24-2-20000-2222-22-200000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000000000
χ1094-4-4-444-44-240000-224-422-4-42-4-24-24-20000-2222-22-2000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000000000
χ1104-4-4-444-44-240000-224-422-4-42-4-24-24-20000-2222-22-20000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000000000
χ111888-8-88-8-8-4-40000-44-44-4-4-4-4444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-400004-44-4-44-444444-4-420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-8-4-400004-44-44-44-444-4-44420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-40000-44-44444444-4-4-4-4200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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