Finite Group Databasebeta

← Group #11867023

Character table — Group #11867023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122233446666663666121212124121212121212121212122466881212242424244412121212884222266446666666666121212124121212121212121212122466881212242424244412121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ9222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000
χ10222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000
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χ1222222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-20001100022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-200011000
χ1322222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-20001100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-200011000
χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-1000
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χ1822222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−i3i3000
χ192222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-1000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-100000
χ202222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-211000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-21100000
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χ292-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i3000002-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i300000
χ302-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−330000−2i2i00ii−i−i00−i3i3000002-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−330000−2i2i00ii−i−i00−i3i300000
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χ444-44-4-2-24-42222-2-21-11-1-2-222023−23001-1−33−330000000000000000000004-44-4-2-24-42222-2-21-11-1-2-222023−23001-1−33−33000000000000000000000
χ454-44-4-2-24-42222-2-21-11-1-2-2220−2323001-13−33−30000000000000000000004-44-4-2-24-42222-2-21-11-1-2-2220−2323001-13−33−3000000000000000000000
χ464-44-4-2-2-442222-2-21-11-122-2-200000-113i−3i−3i3i0000000000000000000004-44-4-2-2-442222-2-21-11-122-2-200000-113i−3i−3i3i000000000000000000000
χ474-44-4-2-2-442222-2-21-11-122-2-200000-11−3i3i3i−3i0000000000000000000004-44-4-2-2-442222-2-21-11-122-2-200000-11−3i3i3i−3i000000000000000000000
χ484-4-44440044-4-4-4-444-4-40000000000000000000000000000000000004-4-44440044-4-4-4-444-4-4000000000000000000000000000000000000
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χ5388-8-8-4-40044-4-4442-2-2200000000000000000000000000000000000088-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-1111
χ57111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-1-111111
χ58111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1
χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ601111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111111-1-1-11111-1
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111-1-111-1-1-1-1-1111-1-111-1
χ621111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11
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χ6722222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-200011000-2-2-2-2-21-2-2-21-21-211111-211-2222-1-111-1-1-1-1-2-211001100002000-1-1000
χ6822222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-1000-2-2-2-2-21-2-2-21-21-211111-211-2222-1-111-1-1-1-122-1-100-1-10000-200011000
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χ874444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000-4-4-4-422-4-4222222-1-1-1-122224-2-2-2-2-1-11111000000000000000000000
χ884444-2-2-4-4-2-2-2-2-2-211112222000−2i32i3-1-1i3i3−i3−i3000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20002i3−2i311−i3−i3i3i3000000000000000000000
χ894444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i3-1-1−i3−i3i3i3000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000−2i32i311i3i3−i3−i3000000000000000000000
χ9044-4-44400-4-444-4-44-4-44000000000000000000000000000000000000-4-444-4-40044-4-444-444-4000000000000000000000000000000000000
χ9144-4-44-200-424-2-42-222-200000000000000000000023−230000000000000-4-444-42004-2-424-22-2-22000000000000000000000−23230000000000000
χ9244-4-44-200-424-2-42-222-2000000000000000000000−23230000000000000-4-444-42004-2-424-22-2-2200000000000000000000023−230000000000000
χ9344-4-4-24002-4-242-4-222-2000000000000000000000006−66−6000000000-4-4442-400-242-4-242-2-2200000000000000000000000−66−66000000000
χ9444-4-4-24002-4-242-4-222-200000000000000000000000−66−66000000000-4-4442-400-242-4-242-2-22000000000000000000000006−66−6000000000
χ954-44-44-24-4-42-424-2-22-224-22-400000-220000000000000000000000000-44-44-42-444-24-2-422-22-2-42-24000002-20000000000000000000000000
χ964-44-44-2-44-42-424-2-22-22-42-24000002-20000000000000000000000000-44-44-424-44-24-2-422-22-24-22-400000-220000000000000000000000000
χ974-44-4-24-442-42-4-24-22-222-44-2000002-20000000000000000000000000-44-442-44-4-24-242-42-22-2-24-4200000-220000000000000000000000000
χ984-44-4-2-24-42222-2-21-11-1-2-222023−23001-1−33−33000000000000000000000-44-4422-44-2-2-2-222-11-1122-2-20−232300-113−33−3000000000000000000000
χ994-44-4-2-24-42222-2-21-11-1-2-2220−2323001-13−33−3000000000000000000000-44-4422-44-2-2-2-222-11-1122-2-2023−2300-11−33−33000000000000000000000
χ1004-44-4-2-2-442222-2-21-11-122-2-200000-113i−3i−3i3i000000000000000000000-44-44224-4-2-2-2-222-11-11-2-222000001-1−3i3i3i−3i000000000000000000000
χ1014-44-4-2-2-442222-2-21-11-122-2-200000-11−3i3i3i−3i000000000000000000000-44-44224-4-2-2-2-222-11-11-2-222000001-13i−3i−3i3i000000000000000000000
χ1024-4-44440044-4-4-4-444-4-4000000000000000000000000000000000000-444-4-4-400-4-44444-4-444000000000000000000000000000000000000
χ1034-4-444-2004-2-42-42-2-22200000000000000000−2i32i300000000000000000-444-4-4200-424-24-222-2-2000000000000000002i3−2i300000000000000000
χ1044-4-444-2004-2-42-42-2-222000000000000000002i3−2i300000000000000000-444-4-4200-424-24-222-2-200000000000000000−2i32i300000000000000000
χ1054-4-44-2400-242-42-4-2-22200000000000000000000000i6−i6−i6i6000000000-444-42-4002-4-24-2422-2-200000000000000000000000−i6i6i6−i6000000000
χ1064-4-44-2400-242-42-4-2-22200000000000000000000000−i6i6i6−i6000000000-444-42-4002-4-24-2422-2-200000000000000000000000i6−i6−i6i6000000000
χ10788-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000-8-8884400-4-444-4-4-222-2000000000000000000000000000000000000
χ1088-8-88-4-400-4-4444422-2-2000000000000000000000000000000000000-888-8440044-4-4-4-4-2-222000000000000000000000000000000000000

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