Finite Group Databasebeta

← Group #11874399

Character table — Group #11874399

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order122233446666663666121212124121212121212121212124488121212122424242424661212884222266446666666666121212124121212121212121212124488121212122424242424661212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-111111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1
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
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11
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
χ9222222-2-22222222222-2-2-2-200000-2-200002-20022-2-20000000000000222222-2-22222222222-2-2-2-200000-2-200002-20022-2-20000000000000
χ10222222-2-22222222222-2-2-2-200000-2-20000-2200-2-2220000000000000222222-2-22222222222-2-2-2-200000-2-20000-2200-2-2220000000000000
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χ1222222-122-1-122-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-20110000022222-122-1-122-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-201100000
χ1322222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100220000-1-1-1-1-20110000022222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100220000-1-1-1-1-201100000
χ1422222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-10000022222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-100000
χ152222-122222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-10002222-122222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000
χ162222-122222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200111100000-200110002222-122222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200111100000-20011000
χ172222-122222-1-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-200110002222-122222-1-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-20011000
χ182222-122222-1-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-10002222-122222-1-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-1000
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χ262-2-2222-22-2-2-2-2222-2-222-22-200000-220000000000000000000000-2202-2-2222-22-2-2-2-2222-2-222-22-200000-220000000000000000000000-220
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χ282-2-222-12-211-2-2-12-111-112-2-10−i3i300-11−i3i3−i3i300-22000011-1-100i3−i3000002-2-222-12-211-2-2-12-111-112-2-10−i3i300-11−i3i3−i3i300-22000011-1-100i3−i300000
χ292-2-222-12-211-2-2-12-111-112-2-10i3−i300-11i3−i3i3−i3002-20000-1-11100i3−i3000002-2-222-12-211-2-2-12-111-112-2-10i3−i300-11i3−i3i3−i3002-20000-1-11100i3−i300000
χ302-2-222-12-211-2-2-12-111-112-2-10i3−i300-11i3−i3i3−i300-22000011-1-100−i3i3000002-2-222-12-211-2-2-12-111-112-2-10i3−i300-11i3−i3i3−i300-22000011-1-100−i3i300000
χ3144444-2-4-4-2-244-24-2-2-2-22-4-420000022000000000000000000000000044444-2-4-4-2-244-24-2-2-2-22-4-4200000220000000000000000000000000
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χ334444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-10000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000
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χ3844-4-44-200-224-42-4-2-22200000000000000000000000−66−6600000000044-4-44-200-224-42-4-2-22200000000000000000000000−66−66000000000
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χ4044-4-4-24004-4-22-42-2-22200000000000000000002i3−2i300000000000000044-4-4-24004-4-22-42-2-22200000000000000000002i3−2i3000000000000000
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χ444-44-4-2400-442-2-42-22-22000000000000000000000−2i32i300000000000004-44-4-2400-442-2-42-22-22000000000000000000000−2i32i30000000000000
χ454-44-4-2400-442-2-42-22-220000000000000000000002i3−2i300000000000004-44-4-2400-442-2-42-22-220000000000000000000002i3−2i30000000000000
χ464-4-444-2-4422-4-4-24-222-2-2-442000002-200000000000000000000000004-4-444-2-4422-4-4-24-222-2-2-442000002-20000000000000000000000000
χ474-4-44-244-4-4-4224-2-222-2-4-22400000-2200000000000000000000000004-4-44-244-4-4-4224-2-222-2-4-22400000-220000000000000000000000000
χ484-4-44-24-44-4-4224-2-222-242-2-4000002-200000000000000000000000004-4-44-24-44-4-4224-2-222-242-2-4000002-20000000000000000000000000
χ494-4-44-2-24-42222-2-21-1-112-22-20−2i32i3001-1i3−i3i3−i30000000000000000000004-4-44-2-24-42222-2-21-1-112-22-20−2i32i3001-1i3−i3i3−i3000000000000000000000
χ504-4-44-2-24-42222-2-21-1-112-22-202i3−2i3001-1−i3i3−i3i30000000000000000000004-4-44-2-24-42222-2-21-1-112-22-202i3−2i3001-1−i3i3−i3i3000000000000000000000
χ514-4-44-2-2-442222-2-21-1-11-22-2200000-113-3-330000000000000000000004-4-44-2-2-442222-2-21-1-11-22-2200000-113-3-33000000000000000000000
χ524-4-44-2-2-442222-2-21-1-11-22-2200000-11-333-30000000000000000000004-4-44-2-2-442222-2-21-1-11-22-2200000-11-333-3000000000000000000000
χ5388-8-8-4-400-44-444422-2-200000000000000000000000000000000000088-8-8-4-400-44-444422-2-2000000000000000000000000000000000000
χ548-88-8-4-4004-44-4442-22-20000000000000000000000000000000000008-88-8-4-4004-44-4442-22-2000000000000000000000000000000000000
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
χ5611111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1111
χ57111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111111
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
χ601111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-11111-11-1-11111-1
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11111-1-1-1-11-111-1-111-1
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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χ6622222-122-1-122-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-201100000-2-2-2-2-21-2-211-2-21-211111-2-21-211-2-211111100220000-1-1-1-120-1-100000
χ6722222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100220000-1-1-1-1-201100000-2-2-2-2-21-2-211-2-21-211111-2-212-1-12211-1-1-1-100-2-20000111120-1-100000
χ6822222-122-1-122-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-100000-2-2-2-2-21-2-211-2-21-211111-2-212-1-12211-1-1-1-100220000-1-1-1-1-201100000
χ692222-122222-1-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000-2-2-2-21-2-2-2-2-211-211111-211-2-2-2-211111111-2-200111100000-20011000
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χ722222-122222-1-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-1000-2-2-2-21-2-2-2-2-211-211111-211-2222-1-111-1-1-1-12200-1-1-1-100000-20011000
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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
χ9044-4-444004-44-4-4-444-4-4000000000000000000000000000000000000-4-444-4-400-44-4444-4-444000000000000000000000000000000000000
χ9144-4-44-200-224-42-4-2-222000000000000000000000006−66−6000000000-4-444-42002-2-44-2422-2-200000000000000000000000−66−66000000000
χ9244-4-44-200-224-42-4-2-22200000000000000000000000−66−66000000000-4-444-42002-2-44-2422-2-2000000000000000000000006−66−6000000000
χ9344-4-4-24004-4-22-42-2-2220000000000000000000−2i32i3000000000000000-4-4442-400-442-24-222-2-200000000000000000002i3−2i3000000000000000
χ9444-4-4-24004-4-22-42-2-22200000000000000000002i3−2i3000000000000000-4-4442-400-442-24-222-2-20000000000000000000−2i32i3000000000000000
χ954-44-44400-44-44-4-44-44-4000000000000000000000000000000000000-44-44-4-4004-44-444-44-44000000000000000000000000000000000000
χ964-44-44-2002-2-442-4-22-22000000000000000000000006−6−66000000000-44-44-4200-224-4-242-22-200000000000000000000000−666−6000000000
χ974-44-44-2002-2-442-4-22-2200000000000000000000000−666−6000000000-44-44-4200-224-4-242-22-2000000000000000000000006−6−66000000000
χ984-44-4-2400-442-2-42-22-22000000000000000000000−2i32i30000000000000-44-442-4004-4-224-22-22-20000000000000000000002i3−2i30000000000000
χ994-44-4-2400-442-2-42-22-220000000000000000000002i3−2i30000000000000-44-442-4004-4-224-22-22-2000000000000000000000−2i32i30000000000000
χ1004-4-444-2-4422-4-4-24-222-2-2-442000002-20000000000000000000000000-444-4-424-4-2-2442-42-2-2224-4-200000-220000000000000000000000000
χ1014-4-44-244-4-4-4224-2-222-2-4-22400000-220000000000000000000000000-444-42-4-4444-2-2-422-2-2242-2-4000002-20000000000000000000000000
χ1024-4-44-24-44-4-4224-2-222-242-2-4000002-20000000000000000000000000-444-42-44-444-2-2-422-2-22-4-22400000-220000000000000000000000000
χ1034-4-44-2-24-42222-2-21-1-112-22-20−2i32i3001-1i3−i3i3−i3000000000000000000000-444-422-44-2-2-2-222-111-1-22-2202i3−2i300-11−i3i3−i3i3000000000000000000000
χ1044-4-44-2-24-42222-2-21-1-112-22-202i3−2i3001-1−i3i3−i3i3000000000000000000000-444-422-44-2-2-2-222-111-1-22-220−2i32i300-11i3−i3i3−i3000000000000000000000
χ1054-4-44-2-2-442222-2-21-1-11-22-2200000-113-3-33000000000000000000000-444-4224-4-2-2-2-222-111-12-22-2000001-1-333-3000000000000000000000
χ1064-4-44-2-2-442222-2-21-1-11-22-2200000-11-333-3000000000000000000000-444-4224-4-2-2-2-222-111-12-22-2000001-13-3-33000000000000000000000
χ10788-8-8-4-400-44-444422-2-2000000000000000000000000000000000000-8-88844004-44-4-4-4-2-222000000000000000000000000000000000000
χ1088-88-8-4-4004-44-4442-22-2000000000000000000000000000000000000-88-884400-44-44-4-4-22-22000000000000000000000000000000000000

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