Finite Group Databasebeta

← Group #11873583

Character table — Group #11873583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order122233446666663666121212124121212121212121212124488121212122424242424661212882222266446666666666121212124121212121212121212124488121212122424242424661212882
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
χ1122222-122-12-1-122-1-1-1-122-1-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-10000022222-122-12-1-122-1-1-1-122-1-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-100000
χ1222222-122-12-1-122-1-1-1-122-1-12-1-122-1-1-1-1-1-100-2-200001111-20110000022222-122-12-1-122-1-1-1-122-1-12-1-122-1-1-1-1-1-100-2-200001111-201100000
χ1322222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100220000-1-1-1-1-20110000022222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100220000-1-1-1-1-201100000
χ1422222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100-2-20000111120-1-10000022222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100-2-20000111120-1-100000
χ152222-12222-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-10002222-12222-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000
χ162222-12222-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-200111100000-200110002222-12222-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-200111100000-20011000
χ172222-12222-122-1-1-1-1-1-1-1-122-2-2-211-1-111112200-1-1-1-100000-200110002222-12222-122-1-1-1-1-1-1-1-122-2-2-211-1-111112200-1-1-1-100000-20011000
χ182222-12222-122-1-1-1-1-1-1-1-122-2-2-211-1-11111-2-200111100000200-1-10002222-12222-122-1-1-1-1-1-1-1-122-2-2-211-1-11111-2-200111100000200-1-1000
χ192222-12-2-22-122-1-1-1-1-1-111-2-2000−i3i311−i3−i3i3i32-200-1-11100000000−i3i30002222-12-2-22-122-1-1-1-1-1-111-2-2000−i3i311−i3−i3i3i32-200-1-11100000000−i3i3000
χ202222-12-2-22-122-1-1-1-1-1-111-2-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i30002222-12-2-22-122-1-1-1-1-1-111-2-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i3000
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χ2822-2-22-1-2212-11-2-2-11-11-22-1103−3001-13−33−300−2i2i0000ii−i−i00i3−i30000022-2-22-1-2212-11-2-2-11-11-22-1103−3001-13−33−300−2i2i0000ii−i−i00i3−i300000
χ2922-2-22-1-2212-11-2-2-11-11-22-110−33001-1−33−33002i−2i0000−i−iii00i3−i30000022-2-22-1-2212-11-2-2-11-11-22-110−33001-1−33−33002i−2i0000−i−iii00i3−i300000
χ3022-2-22-1-2212-11-2-2-11-11-22-110−33001-1−33−3300−2i2i0000ii−i−i00−i3i30000022-2-22-1-2212-11-2-2-11-11-22-110−33001-1−33−3300−2i2i0000ii−i−i00−i3i300000
χ3144444-2-4-4-24-2-244-2-2-2-2-4-4220000022000000000000000000000000044444-2-4-4-24-2-244-2-2-2-2-4-42200000220000000000000000000000000
χ324444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-21111110000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000
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χ3644-4-44-24-424-22-4-4-22-224-42-200000-22000000000000000000000000044-4-44-24-424-22-4-4-22-224-42-200000-220000000000000000000000000
χ3744-4-4-244-4-4-24-422-22-22-22-4400000-22000000000000000000000000044-4-4-244-4-4-24-422-22-22-22-4400000-220000000000000000000000000
χ3844-4-4-24-44-4-24-422-22-222-24-4000002-2000000000000000000000000044-4-4-24-44-4-24-422-22-222-24-4000002-20000000000000000000000000
χ3944-4-4-2-24-42-2-22221-11-1-222-2000001-13i−3i−3i3i00000000000000000000044-4-4-2-24-42-2-22221-11-1-222-2000001-13i−3i−3i3i000000000000000000000
χ4044-4-4-2-24-42-2-22221-11-1-222-2000001-1−3i3i3i−3i00000000000000000000044-4-4-2-24-42-2-22221-11-1-222-2000001-1−3i3i3i−3i000000000000000000000
χ4144-4-4-2-2-442-2-22221-11-12-2-22023−2300-11−33−3300000000000000000000044-4-4-2-2-442-2-22221-11-12-2-22023−2300-11−33−33000000000000000000000
χ4244-4-4-2-2-442-2-22221-11-12-2-220−232300-113−33−300000000000000000000044-4-4-2-2-442-2-22221-11-12-2-220−232300-113−33−3000000000000000000000
χ434-44-44400-4-4-444-44-4-440000000000000000000000000000000000004-44-44400-4-4-444-44-4-44000000000000000000000000000000000000
χ444-44-44-2002-42-24-4-222-200000000000000000000000i6−i6i6−i60000000004-44-44-2002-42-24-4-222-200000000000000000000000i6−i6i6−i6000000000
χ454-44-44-2002-42-24-4-222-200000000000000000000000−i6i6−i6i60000000004-44-44-2002-42-24-4-222-200000000000000000000000−i6i6−i6i6000000000
χ464-44-4-2400-42-44-22-222-200000000000000000000023−2300000000000004-44-4-2400-42-44-22-222-200000000000000000000023−230000000000000
χ474-44-4-2400-42-44-22-222-2000000000000000000000−232300000000000004-44-4-2400-42-44-22-222-2000000000000000000000−23230000000000000
χ484-4-4444004-4-4-4-4444-4-40000000000000000000000000000000000004-4-4444004-4-4-4-4444-4-4000000000000000000000000000000000000
χ494-4-444-200-2-422-44-2-222000000000000000000000006−6−660000000004-4-444-200-2-422-44-2-222000000000000000000000006−6−66000000000
χ504-4-444-200-2-422-44-2-22200000000000000000000000−666−60000000004-4-444-200-2-422-44-2-22200000000000000000000000−666−6000000000
χ514-4-44-240042-4-42-2-2-222000000000000000000023−230000000000000004-4-44-240042-4-42-2-2-222000000000000000000023−23000000000000000
χ524-4-44-240042-4-42-2-2-2220000000000000000000−23230000000000000004-4-44-240042-4-42-2-2-2220000000000000000000−2323000000000000000
χ538-88-8-4-400444-4-442-2-220000000000000000000000000000000000008-88-8-4-400444-4-442-2-22000000000000000000000000000000000000
χ548-8-88-4-400-44444-422-2-20000000000000000000000000000000000008-8-88-4-400-44444-422-2-2000000000000000000000000000000000000
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
χ63222222-2-22222222222-2-2-2-200000-2-200002-20022-2-20000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222200000220000-2200-2-2220000000000000
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χ6622222-122-12-1-122-1-1-1-122-1-12-1-122-1-1-1-1-1-100-2-200001111-201100000-2-2-2-2-21-2-21-211-2-21111-2-211-211-2-211111100220000-1-1-1-120-1-100000
χ6722222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100220000-1-1-1-1-201100000-2-2-2-2-21-2-21-211-2-21111-2-2112-1-12211-1-1-1-100-2-20000111120-1-100000
χ6822222-122-12-1-122-1-1-1-122-1-1-211-2-2-1-1111100-2-20000111120-1-100000-2-2-2-2-21-2-21-211-2-21111-2-2112-1-12211-1-1-1-100220000-1-1-1-1-201100000
χ692222-12222-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000-2-2-2-21-2-2-2-21-2-211111111-2-2-2-2-211111111-2-200111100000-20011000
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χ712222-12222-122-1-1-1-1-1-1-1-122-2-2-211-1-111112200-1-1-1-100000-20011000-2-2-2-21-2-2-2-21-2-211111111-2-2222-1-111-1-1-1-1-2-200111100000200-1-1000
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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
χ9044-4-44-24-424-22-4-4-22-224-42-200000-220000000000000000000000000-4-444-42-44-2-42-2442-22-2-44-22000002-20000000000000000000000000
χ9144-4-4-244-4-4-24-422-22-22-22-4400000-220000000000000000000000000-4-4442-4-4442-44-2-22-22-22-24-4000002-20000000000000000000000000
χ9244-4-4-24-44-4-24-422-22-222-24-4000002-20000000000000000000000000-4-4442-44-442-44-2-22-22-2-22-4400000-220000000000000000000000000
χ9344-4-4-2-24-42-2-22221-11-1-222-2000001-13i−3i−3i3i000000000000000000000-4-44422-44-222-2-2-2-11-112-2-2200000-11−3i3i3i−3i000000000000000000000
χ9444-4-4-2-24-42-2-22221-11-1-222-2000001-1−3i3i3i−3i000000000000000000000-4-44422-44-222-2-2-2-11-112-2-2200000-113i−3i−3i3i000000000000000000000
χ9544-4-4-2-2-442-2-22221-11-12-2-22023−2300-11−33−33000000000000000000000-4-444224-4-222-2-2-2-11-11-222-20−2323001-13−33−3000000000000000000000
χ9644-4-4-2-2-442-2-22221-11-12-2-220−232300-113−33−3000000000000000000000-4-444224-4-222-2-2-2-11-11-222-2023−23001-1−33−33000000000000000000000
χ974-44-44400-4-4-444-44-4-44000000000000000000000000000000000000-44-44-4-400444-4-44-444-4000000000000000000000000000000000000
χ984-44-44-2002-42-24-4-222-200000000000000000000000i6−i6i6−i6000000000-44-44-4200-24-22-442-2-2200000000000000000000000−i6i6−i6i6000000000
χ994-44-44-2002-42-24-4-222-200000000000000000000000−i6i6−i6i6000000000-44-44-4200-24-22-442-2-2200000000000000000000000i6−i6i6−i6000000000
χ1004-44-4-2400-42-44-22-222-200000000000000000000023−230000000000000-44-442-4004-24-42-22-2-22000000000000000000000−23230000000000000
χ1014-44-4-2400-42-44-22-222-2000000000000000000000−23230000000000000-44-442-4004-24-42-22-2-2200000000000000000000023−230000000000000
χ1024-4-4444004-4-4-4-4444-4-4000000000000000000000000000000000000-444-4-4-400-44444-4-4-444000000000000000000000000000000000000
χ1034-4-444-200-2-422-44-2-222000000000000000000000006−6−66000000000-444-4-420024-2-24-422-2-200000000000000000000000−666−6000000000
χ1044-4-444-200-2-422-44-2-22200000000000000000000000−666−6000000000-444-4-420024-2-24-422-2-2000000000000000000000006−6−66000000000
χ1054-4-44-240042-4-42-2-2-222000000000000000000023−23000000000000000-444-42-400-4-244-2222-2-20000000000000000000−2323000000000000000
χ1064-4-44-240042-4-42-2-2-2220000000000000000000−2323000000000000000-444-42-400-4-244-2222-2-2000000000000000000023−23000000000000000
χ1078-88-8-4-400444-4-442-2-22000000000000000000000000000000000000-88-884400-4-4-444-4-222-2000000000000000000000000000000000000
χ1088-8-88-4-400-44444-422-2-2000000000000000000000000000000000000-888-844004-4-4-4-44-2-222000000000000000000000000000000000000

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