Finite Group Databasebeta

← Group #11791078

Character table — Group #11791078

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
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
χ9111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-1ii−i−ii−i
χ10111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11ii−i−i-1-111−i−iii−ii
χ11111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1−i−iii11-1-1−i−iii−ii
χ12111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-111-111-1-111-1-111-1-11111-1-1-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11−i−iii-1-111ii−i−ii−i
χ13111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11−i−iii-1-111ii−i−i−ii
χ14111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-1−i−iii11-1-1−i−iiii−i
χ15111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11ii−i−i-1-111−i−iiii−i
χ16111-11-1-1-1111-11-11111-1-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-1ii−i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000002-22-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-22-2200
χ19222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
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χ22222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ27222-22-2-2-222-22-222222-2-2-2-2-2-2-22-22222-2-2-2-22-2-22-2222-20000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ28222-22-2-2-222-22-222222-2-2-2-2-2-2-22-22222-2-2-2-22-2-22-2222-20000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ29222-22-2-2-22-12-22-222-1-1-2-2-2-2111-112-1-1-11111-1-1-112-2-2122-2-1-11122-2-2-1-111-1-1-1-111112i2i−2i−2i0000−i−i−i−iiiii000000002i−2i00−i−iii0000000000
χ30222-22-2-2-22-12-22-222-1-1-2-2-2-2111-112-1-1-11111-1-1-112-2-2122-2-1-11122-2-2-1-111-1-1-1-11111−2i−2i2i2i0000iiii−i−i−i−i00000000−2i2i00ii−i−i0000000000
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χ33222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-222-2-2-1-111-1-111-1-1-1-11111000022-2-200000000-1-1-1-11111002-20000-1-111000000
χ34222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-12-222-2-2-1-111-1-111-1-1-1-111110000-2-222000000001111-1-1-1-100-22000011-1-1000000
χ35222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-22-2-22211-1-1-1-1111111-1-1-1-1000022-2-200000000-1-1-1-1111100-22000011-1-1000000
χ36222-22-2-2-2-122-22-2-1-1221111-2-2-22-2-1-1-1-11111-122-2-111-2-1-22-2-22211-1-1-1-1111111-1-1-1-10000-2-222000000001111-1-1-1-1002-20000-1-111000000
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χ382-2-222-2-22222-2-22-2-2-2-222-2-22-2-22222-2-222-2-222-2-222-22-200000000002-22-200000000-22-220000-2-222-2-22200000000000000000000000000
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χ402-2-222-2-2222-222-2-2-2-2-222-2-22-2-22222-2-222-2-22-222-2-22-220000000000-22-22000000000000-22-2200000000-2-222-2-222000000000000000000
χ412-2-222-2-222-12-2-22-2-21122-2-2-111-1-12-111-1-111-1-11122-2-1-200−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ422-2-222-2-222-12-2-22-2-21122-2-2-111-1-12-111-1-111-1-11122-2-1-200−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ432-2-222-2-222-12-2-22-2-21122-2-2-111-1-12-111-1-111-1-11122-2-1-200i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ442-2-222-2-222-12-2-22-2-21122-2-2-111-1-12-111-1-111-1-11122-2-1-200i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
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χ472-2-222-2-22-12-222-211-2-2-1-1112-2-222-1-111-1-111-1-22211-1-2-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i300002-22-200000000-1-111-1-11100000000i3−i3i3−i3000000
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χ502-2-2-2222-22222-2-2-2-2-2-2-2-222-2222-222-2-2-2-22222-222-22-2-200000000002-2-2200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ512-2-2-2222-222-2-222-2-2-2-2-2-222-2222-222-2-2-2-2222-22-2-22-2220000000000-222-20000000000002-2-220000000022-2-2-2-222000000000000000000
χ522-2-2-2222-222-2-222-2-2-2-2-2-222-2222-222-2-2-2-2222-22-2-22-2220000000000-222-2000000000000-222-200000000-2-22222-2-2000000000000000000
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χ72444-44-4-4-4-2-2-44-44-2-2-2-22222222-22-2111-1-1-1-1122-22-2-2-220000000000-1-111-333-33-3-33000000000000000000000000000000000000000000
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χ894-44-4-44-444-20000-442-2-444-4-2-2222-4-22-22-2-22200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ904-44-4-44-444-20000-442-2-444-4-2-2222-4-22-22-2-22200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ914-44-4-44-44-2400002-2-442-2-2244-4-4-42-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ924-44-4-44-44-2400002-2-442-2-2244-4-4-42-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ934-4-444-4-444-2-444-4-4-42244-4-4-222-2-24-222-2-222-22-2-2-4-442400000000002-22-200000000000000000000000000000000000000000000000000
χ944-4-444-4-44-244-4-4422-4-4-2-2224-4-444-2-222-2-222-24-4-4-2-22420000000000-22-2200000000000000000000000000000000000000000000000000
χ954-4-444-4-44-2-24-4-442222-2-222-222-2-2-21-1-111-1-11-222-2-22-2200−2i32i3−2i32i300001-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ964-4-444-4-44-2-24-4-442222-2-222-222-2-2-21-1-111-1-11-222-2-22-22002i3−2i32i3−2i300001-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-444-42222-2-222-222-2-2-21-1-111-1-112-2-222-22-2000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-444-42222-2-222-222-2-2-21-1-111-1-112-2-222-22-20000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-4-444-4-422-4-4442-2-2-224-22222-2-2-22-22-44-4-2400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-2444-4-422-4-422-2-2-4444-4-2-22222-2-2-24-44-22-2-420000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-244-4-4222222-2-22-2-2-22-21-1-1-1-1111-22-2-22-22200−2i32i32i3−2i300001-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-244-4-4222222-2-22-2-2-22-21-1-1-1-1111-22-2-22-222002i3−2i3−2i32i300001-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-4-444222222-2-22-2-2-22-21-1-1-1-11112-222-22-2-2000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-4-444222222-2-22-2-2-22-21-1-1-1-11112-222-22-2-20000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ10588-88-88-8-8-4-40000-44-44-44-444-444-4422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-44-444-44-4-44-444422-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-4-444-444-44-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-400004-44-44-4-44-4-444442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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