Finite Group Databasebeta

← Group #11873613

Character table — Group #11873613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order1222334466666636661212121241212121212121212121244881212121224242424441212121288422226644666666666612121212412121212121212121212448812121212242424244412121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-111111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1
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
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11
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
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χ1222222-12222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-20011110000-20001100022222-12222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-20011110000-200011000
χ1322222-12222-1-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-10000-20001100022222-12222-1-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-10000-200011000
χ1422222-12222-1-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100002000-1-100022222-12222-1-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100002000-1-1000
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χ1822222-1-2-222-1-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i300022222-1-2-222-1-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i3000
χ192222-1222-1-122-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-102-1-1000002222-1222-1-122-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-102-1-100000
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χ2822-2-2-12-221-1-2-212-111-1-1-2210−i3i3001-1−i3i3−i3i300−2i2i0000ii−i−i00−330000022-2-2-12-221-1-2-212-111-1-1-2210−i3i3001-1−i3i3−i3i300−2i2i0000ii−i−i00−3300000
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χ454-44-44-200-4-4-2242-2-22200000000000000000002i3−2i30000000000000004-44-44-200-4-4-2242-2-22200000000000000000002i3−2i3000000000000000
χ464-44-4-2400224-4-2-4-2-222000000000000000000000006−66−60000000004-44-4-2400224-4-2-4-2-222000000000000000000000006−66−6000000000
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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
χ5611111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1111
χ57111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111111
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
χ601111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111111-1-1-11111-1
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1111-1-111-1
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χ864444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222-42222-1-1-1-1-1-1000000000000000000000
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
χ9044-4-44-24-4-4422-4-2-222-2-4-22400000-220000000000000000000000000-4-444-42-444-4-2-2422-2-2242-2-4000002-20000000000000000000000000
χ9144-4-44-2-44-4422-4-2-222-242-2-4000002-20000000000000000000000000-4-444-424-44-4-2-2422-2-22-4-22400000-220000000000000000000000000
χ9244-4-4-244-42-2-4-424-222-224-4-200000-220000000000000000000000000-4-4442-4-44-2244-2-42-2-22-2-442000002-20000000000000000000000000
χ9344-4-4-2-24-42-2222-21-1-112-22-2000001-13-3-33000000000000000000000-4-44422-44-22-2-2-22-111-1-22-2200000-11-333-3000000000000000000000
χ9444-4-4-2-24-42-2222-21-1-112-22-2000001-1-333-3000000000000000000000-4-44422-44-22-2-2-22-111-1-22-2200000-113-3-33000000000000000000000
χ9544-4-4-2-2-442-2222-21-1-11-22-220−2i32i300-11i3−i3i3−i3000000000000000000000-4-444224-4-22-2-2-22-111-12-22-202i3−2i3001-1−i3i3−i3i3000000000000000000000
χ9644-4-4-2-2-442-2222-21-1-11-22-2202i3−2i300-11−i3i3−i3i3000000000000000000000-4-444224-4-22-2-2-22-111-12-22-20−2i32i3001-1i3−i3i3−i3000000000000000000000
χ974-44-44400-4-44-44-444-4-4000000000000000000000000000000000000-44-44-4-40044-44-44-4-444000000000000000000000000000000000000
χ984-44-44-200-4-4-2242-2-2220000000000000000000−2i32i3000000000000000-44-44-4200442-2-4-222-2-200000000000000000002i3−2i3000000000000000
χ994-44-44-200-4-4-2242-2-22200000000000000000002i3−2i3000000000000000-44-44-4200442-2-4-222-2-20000000000000000000−2i32i3000000000000000
χ1004-44-4-2400224-4-2-4-2-222000000000000000000000006−66−6000000000-44-442-400-2-2-442422-2-200000000000000000000000−66−66000000000
χ1014-44-4-2400224-4-2-4-2-22200000000000000000000000−66−66000000000-44-442-400-2-2-442422-2-2000000000000000000000006−66−6000000000
χ1024-4-4444004-4-44-4-44-44-4000000000000000000000000000000000000-444-4-4-400-444-444-44-44000000000000000000000000000000000000
χ1034-4-444-2004-42-2-42-22-22000000000000000000000−2i32i30000000000000-444-4-4200-44-224-22-22-20000000000000000000002i3−2i30000000000000
χ1044-4-444-2004-42-2-42-22-220000000000000000000002i3−2i30000000000000-444-4-4200-44-224-22-22-2000000000000000000000−2i32i30000000000000
χ1054-4-44-2400-22-442-4-22-2200000000000000000000000i6−i6−i6i6000000000-444-42-4002-24-4-242-22-200000000000000000000000−i6i6i6−i6000000000
χ1064-4-44-2400-22-442-4-22-2200000000000000000000000−i6i6i6−i6000000000-444-42-4002-24-4-242-22-200000000000000000000000i6−i6−i6i6000000000
χ1078-88-8-4-40044-44-4422-2-2000000000000000000000000000000000000-88-884400-4-44-44-4-2-222000000000000000000000000000000000000
χ1088-8-88-4-400-444-4442-22-2000000000000000000000000000000000000-888-844004-4-44-4-4-22-22000000000000000000000000000000000000

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