Finite Group Databasebeta

← Group #11787445

Character table — Group #11787445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666622223666666612121212121212126666666666666666121212128888888824242424242424242424242424242424444444441212121212121212444444
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
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ9111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1111-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−ii−i1-1ii−i−i11-1-1i−iii−i−i
χ10111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1111-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iiii−i-11ii−i−i-1-111−ii−i−iii
χ11111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1111-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−ii1-1−i−iii11-1-1−ii−i−iii
χ12111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1111-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i−ii-11−i−iii-1-111i−iii−i−i
χ13111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-11-1-111111-1-1-1-1111-11-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i−ii-11−i−iii-1-111i−i−i−iii
χ14111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-11-1-111111-1-1-1-1111-11-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii−ii1-1−i−iii11-1-1−iiii−i−i
χ15111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-11-1-111111-1-1-1-1111-11-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iiii−i-11ii−i−i-1-111−iiii−i−i
χ16111-1-11-1-1111-11-11111-1-1-1-1-1-1-11-11-1-111111-1-1-1-1111-11-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−ii−i1-1ii−i−i11-1-1i−i−i−iii
χ172222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222-1-12222-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-21111111111-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222-1-12222-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-21111111111-1-1-1-1-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-122-1-1-1-122222-12222-1-1-1-1-1-1-1-1222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-122-1-1-1-122222-12222-1-1-1-1-1-1-1-1222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-122-1-1-1-122222-1-2-2-2-2-1-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-211111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-122-1-1-1-122222-1-2-2-2-2-1-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-211111111-1-1-1-10000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ27222-2-22-2-222-22-222222-2-2-2-2-2-2-22-220000222-2-2-2-22-2-22-2222-20000000000000000-2-2220000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ28222-2-22-2-222-22-222222-2-2-2-2-2-2-22-220000222-2-2-2-22-2-22-2222-20000000000000000-2-222000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ29222-2-22-2-22-12-22-222-1-1-2-2-2-2111-11222-2-2-1-1-11111-1-1-112-2-21222-1-1-2-211-1-1-1-11111-1-1112i2i−2i−2i0000−i−i−i−iiiii0000000000002i−2i00−i−iii0000000000
χ30222-2-22-2-22-12-22-222-1-1-2-2-2-2111-11222-2-2-1-1-11111-1-1-112-2-21222-1-1-2-211-1-1-1-11111-1-111−2i−2i2i2i0000iiii−i−i−i−i000000000000−2i2i00ii−i−i0000000000
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χ32222-2-22-2-22-12-22-222-1-1-2-2-2-2111-112-2-222-1-1-11111-1-1-112-2-212-2-21122-1-11111-1-1-1-1-1-111−2i−2i2i2i0000iiii−i−i−i−i0000000000002i−2i00−i−iii0000000000
χ33222-2-22-2-2-122-22-2-1-1221111-2-2-22-2-122-2-2-1-1-11111-122-2-111-2-1-1-12211-2-2-1-1-1-11111-1-111000022-2-200000000-1-1-1-111110000002-20000-1-111000000
χ34222-2-22-2-2-122-22-2-1-1221111-2-2-22-2-122-2-2-1-1-11111-122-2-111-2-1-1-12211-2-2-1-1-1-11111-1-1110000-2-222000000001111-1-1-1-1000000-22000011-1-1000000
χ35222-2-22-2-2-122-22-2-1-1221111-2-2-22-2-1-2-222-1-1-11111-122-2-111-2-111-2-2-1-1221111-1-1-1-1-1-111000022-2-200000000-1-1-1-11111000000-22000011-1-1000000
χ36222-2-22-2-2-122-22-2-1-1221111-2-2-22-2-1-2-222-1-1-11111-122-2-111-2-111-2-2-1-1221111-1-1-1-1-1-1110000-2-222000000001111-1-1-1-10000002-20000-1-111000000
χ3722-22-2-2-222200002-22-222-2-222-2-2-2-2000022-222-2-2-20000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22-2000000000000000000
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χ4122-2-22-22-22200002-22-2-2-222-2-22-22-2000022-2-2-222-200000000000000000000000000002−2−22−i2i2i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i22i−2i−2i2i000000000000000000
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χ472-2-2222-2-222-2-222-2-2-2-22-22-22-2-22222-22-22-2-22-22-22-22-2-2-22222-22-22-22-222-2-222-2-2-22-220000000000000000000000000000000000000000000000
χ482-2-2222-2-222-2-222-2-2-2-22-22-22-2-2222-22-222-2-22-22-22-22-2-2-2222-22-22-22-22-2-222-2-222-22-220000000000000000000000000000000000000000000000
χ492-2-2222-2-22-1-2-222-2-2112-22-2-111-1-122-22-2-111-11-11-11-11-2-22-122-2-112-2-11-1-111-1-1111-11-100000000−i3i3−i3i3−i3i3−i3i30000000000000000−i3i3−i3i30000000000
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χ522-2-2222-2-22-1-2-222-2-2112-22-2-111-1-12-22-22-111-11-11-11-11-2-22-12-221-1-221-111-1-111-1-11-11-100000000i3−i3i3−i3i3−i3i3−i30000000000000000−i3i3−i3i30000000000
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χ78444-4-44-4-4-2-24-44-4-2-2-2-22222222-22-2-4-444111-1-1-1-11-2-22-2222-22222-2-2-2-2-1-1-1-1111111-1-10000000000000000000000000000000000000000000000
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χ80444-4-44-4-4-2-2-44-44-2-2-2-22222222-22-20000111-1-1-1-1122-22-2-2-2200000000-33-333-33-3-1-1110000000000000000000000000000000000000000000000
χ8144-44-4-4-444-200004-4-2244-4-4-2-2222-40000-2-22-2-22220000000000000000000000000000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000
χ8244-44-4-4-444-200004-4-2244-4-4-2-2222-40000-2-22-2-222200000000000000000000000000002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000
χ8344-44-4-4-44-240000-224-4-2-22244-4-4-420000-2-22-2-222200000000000000000000000000000000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ8444-44-4-4-44-240000-224-4-2-22244-4-4-420000-2-22-2-2222000000000000000000000000000000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ8544-4-44-44-44-200004-4-22-4-44422-22-2-40000-2-2222-2-22000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000000000
χ8644-4-44-44-44-200004-4-22-4-44422-22-2-40000-2-2222-2-220000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000000000
χ8744-4-44-44-4-240000-224-422-2-2-4-44-4420000-2-2222-2-2200000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ8844-4-44-44-4-240000-224-422-2-2-4-44-4420000-2-2222-2-22000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ894-444-4-44-4440000-44-444-4-444-44-4-4-400004-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-44-44-20000-442-24-4-44-22-222-40000-22-2-222-220000000000000000000000000000000000006−6−666−6−66000000000000000000000000000000
χ914-444-4-44-44-20000-442-24-4-44-22-222-40000-22-2-222-22000000000000000000000000000000000000−666−6−666−6000000000000000000000000000000
χ924-444-4-44-4-2400002-2-44-222-24-44-4-420000-22-2-222-22000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ934-444-4-44-4-2400002-2-44-222-24-44-4-420000-22-2-222-2200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ944-44-44-4-44440000-44-44-444-4-44-4-44-400004-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-4-444-20000-442-2-444-42-222-2-40000-22-22-2-222000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ964-44-44-4-444-20000-442-2-444-42-222-2-40000-22-22-2-222000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ974-44-44-4-44-2400002-2-442-2-22-44-4-4420000-22-22-2-222000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ984-44-44-4-44-2400002-2-442-2-22-44-4-4420000-22-22-2-22200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ994-4-4444-4-44-244-4-4-4-4224-44-4-222-2-240000-222-22-22-2-22-244-42-40000000000000000-22-220000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2444-4-422-4-4-22-224-4-444-20000-222-22-22-24-44-2-22-420000000000000000-22-220000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-244-4-42222-22-22-222-2-2-200001-1-11-11-11-22-2-2-2222000000003-3-333-3-331-11-10000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-244-4-42222-22-22-222-2-2-200001-1-11-11-11-22-2-2-222200000000-333-3-333-31-11-10000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-2-4-4442222-22-22-222-2-2-24-44-41-1-11-11-112-2222-2-2-2-22-22-22-2211-1-111-1-1-11-110000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-2-4-4442222-22-22-222-2-2-2-44-441-1-11-11-112-2222-2-2-22-22-22-22-2-1-111-1-111-11-110000000000000000000000000000000000000000000000
χ1054-4-4-4-44444-24-4-44-4-422-44-442-2-2-2240000-2222-22-2-2-2224-44-2-40000000000000000-222-20000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-244-4-4422-4-42-22-2-4444-4-20000-2222-22-2-24-4-4-22-2420000000000000000-222-20000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-24-4-4422222-22-22-2-2-22-200001-1-1-11-111-222-22-2-22000000003-3-33-333-31-1-110000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-24-4-4422222-22-22-2-2-22-200001-1-1-11-111-222-22-2-2200000000-333-33-3-331-1-110000000000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-2-444-422222-22-22-2-2-22-24-4-441-1-1-11-1112-2-22-222-2-22-222-22-211-1-1-1-111-111-10000000000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-2-444-422222-22-22-2-2-22-2-444-41-1-1-11-1112-2-22-222-22-22-2-22-22-1-11111-1-1-111-10000000000000000000000000000000000000000000000
χ11188-88-8-8-88-4-40000-44-44-4-444-4-44444000022-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-88-8-4-40000-44-4444-4-444-44-44000022-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-44-4-444-4-44-444400002-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-8-88-4-400004-44-44-4-444-444-4400002-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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