Finite Group Databasebeta

← Group #11787539

Character table — Group #11787539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212888888882424242424242424242424242424242444442244666612121212222244
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ9111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1i−i
χ10111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii-1-111−ii
χ11111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i-1-111−ii
χ12111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11ii−i−i11-1-1-11-1111-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iii11-1-1i−i
χ13111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iii-1-111i−i
χ14111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i11-1-1−ii
χ15111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−ii
χ16111-11-1-1-1111-11-111-1-111-1-1-111-1-1-11−i−iii11-1-1-11-1111-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−i-1-111i−i
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000022220000000000000000-2-2
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000000022
χ19222222222-122222222-1-1-1-1-12-12-12-12222-1-1-1-1-1-1-12-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-1-1-12-12-12-12222-1-1-1-1-1-1-12-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-122222222-1-1-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-1-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-122222222-1-1-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-1-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1-122222-12-12-1-12222-1-1-1-1-1-1-1-122-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-1-1-122222-12-12-1-12222-1-1-1-1-1-1-1-122-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-1-1-122222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-1-1-122222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ27222-22-2-2-222-22-2222-2-222-2-2-222-2-2-22000022-2-2-22-2-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i
χ28222-22-2-2-222-22-2222-2-222-2-2-222-2-2-22000022-2-2-22-2-2-2-2222-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i
χ29222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-12i2i−2i−2i-1-1111-112-1-1-2-21212i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-200-1-1110000000000
χ30222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-12i2i−2i−2i-1-1111-112-1-1-2-21212i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-220011-1-10000000000
χ31222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1−2i−2i2i2i-1-1111-112-1-1-2-2121−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-220011-1-10000000000
χ32222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1−2i−2i2i2i-1-1111-112-1-1-2-2121−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-200-1-1110000000000
χ33222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-12i2i−2i−2i-1-1111-11-12211-2-1-2−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-111110000002i−2i0000−i−iii000000
χ34222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-12i2i−2i−2i-1-1111-11-12211-2-1-2−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-1000000−2i2i0000ii−i−i000000
χ35222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1−2i−2i2i2i-1-1111-11-12211-2-1-2ii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-11111000000−2i2i0000ii−i−i000000
χ36222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1−2i−2i2i2i-1-1111-11-12211-2-1-2ii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-10000002i−2i0000−i−iii000000
χ3722-22-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−i2i2−i2i22−22−2−i2−i2i2i2−i2−i2i2i222−2−222−2−22i−2i2i−2i000000000000000000
χ3822-22-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−i2i2−i2i2−22−22−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2i2i−2i2i000000000000000000
χ3922-22-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000i2−i2i2−i22−22−2i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2i2i−2i2i000000000000000000
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χ4222-2-2-22-222200002-2-2-22-2-2-22-2-2222200002-2-2-22-2200000000000000000000000000002−2−22−222−222−2−2−2−222−2−22222−2−22-2-22000000000000000000
χ4322-2-2-22-222200002-2-2-22-2-2-22-2-2222200002-2-2-22-220000000000000000000000000000−222−22−2−22−2−22222−2−222−2−2−2−2222-2-22000000000000000000
χ4422-2-2-22-222200002-2-2-22-2-2-22-2-2222200002-2-2-22-220000000000000000000000000000−222−2−222−2−2−22222−2−2−2−22222−2−2-222-2000000000000000000
χ452-2-2222-2-22222-2-2-2-22-2-2-22-2222-2-2222i−2i2i−2i-2-22-222-222-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
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χ80444-44-4-4-4-2-2-44-44-2-222-2-2222-2-22221000011-1-1-11-1222-2-2-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ8144-44-4-44-44-200004-444-22-2-22-42-42-4-20000-22-2-22220000000000000000000000000000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000
χ8244-44-4-44-44-200004-444-22-2-22-42-42-4-20000-22-2-222200000000000000000000000000002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000
χ8344-44-4-44-4-240000-22-2-24-444-42-42-42-20000-22-2-22220000000000000000000000000000000022−2222−2200000000−2−222−2−2220000000000000000000000
χ8444-44-4-44-4-240000-22-2-24-444-42-42-42-20000-22-2-222200000000000000000000000000000000−2222−22220000000022−2−222−2−20000000000000000000000
χ8544-4-4-44-444-200004-4-4-4-2222-2-424-24-20000-2222-22-2000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000000000
χ8644-4-4-44-444-200004-4-4-4-2222-2-424-24-20000-2222-22-20000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000000000
χ8744-4-4-44-44-240000-22224-4-4-442-4-24-2-20000-2222-22-20000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000000000
χ8844-4-4-44-44-240000-22224-4-4-442-4-24-2-20000-2222-22-200000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000000000
χ894-444-4-4-44440000-444-4-444-4-4-4-444-440000-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-4-444-20000-444-42-2-222-424-2-4-200002-2-2222-2000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ914-444-4-4-444-20000-444-42-2-222-424-2-4-200002-2-2222-2000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ924-444-4-4-44-2400002-2-22-444-4-42-4-242-200002-2-2222-2000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ934-444-4-4-44-2400002-2-22-444-4-42-4-242-200002-2-2222-200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ944-44-4-444-4440000-44-44-44-444-4-4-4-4440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-20000-44-442-22-2-2-42-424-200002-22-2-2220000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ964-44-4-444-44-20000-44-442-22-2-2-42-424-200002-22-2-222000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ974-44-4-444-4-2400002-22-2-44-4442-42-4-2-200002-22-2-222000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ984-44-4-444-4-2400002-22-2-44-4442-42-4-2-200002-22-2-22200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ994-4-4444-4-44-2-4-444-4-44-422-22-24-2-424-2000022-22-2-22-42-2-4424-2000000002-22-2000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-24-4-44422-22-4-44-44-242-4-2-2000022-22-2-222-442-2-4-24000000002-22-2000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-244-4-422-2222-22-2-2-222-214i−4i4i−4i-1-11-111-1-2-22-22-222−2i2i−2i2i−2i2i−2i2i1-11-1ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-244-4-422-2222-22-2-2-222-21−4i4i−4i4i-1-11-111-1-2-22-22-2222i−2i2i−2i2i−2i2i−2i1-11-1−i−iii−i−iii0000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-2-4-44422-2222-22-2-2-222-210000-1-11-111-122-22-22-2-200000000-11-113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-2-4-44422-2222-22-2-2-222-210000-1-11-111-122-22-22-2-200000000-11-11−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1054-4-4-44-4444-2-444-4-4-4-44222-224-24-2-4-20000222-22-2-2-42-24-4-242000000002-2-22000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-24-444-4222-2-4-4-44-4-24-242-20000222-22-2-22-44-224-2-4000000002-2-22000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-44222-2222-22-2-2-2-2214-4-44-1-1-11-111-2-222-222-2-22-222-22-21-1-1111-1-1-1-1110000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-44222-2222-22-2-2-2-221-444-4-1-1-11-111-2-222-222-22-22-2-22-221-1-11-1-11111-1-10000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-4222-2222-22-2-2-2-2210000-1-1-11-11122-2-22-2-2200000000-111-13-3-33-333-30000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-4222-2222-22-2-2-2-2210000-1-1-11-11122-2-22-2-2200000000-111-1-333-33-3-330000000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-44-4-4-44-4-4444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4444-4444-444-4-4-4200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-4-444-4-44444-4-4420000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8-4-400004-44-44-44-4-44444-420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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