Finite Group Databasebeta

← Group #13172709

Character table — Group #13172709

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order1222333666666666233366666666666666666223666666666666222446666666666666666666622666666121212121212121244444662212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-11111111111-1-111111111-1-11-111-1-111-1-111-1-11-11-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-1111111111-1-11111111111-1-1-11-1-111-1-111-1-111-11-11-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-11111111111111-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11-11-1-1-111-1-111-11
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-11-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-11-1-1-1
χ101111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-111-111-11-1-1-1-11-1-1111
χ111111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11111-1-111-1-11-1-111-1-1-1-1-111-111
χ121111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-11111-11-11-1-1
χ131111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11-11-11
χ141111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-11-111-1-1-1-111-1-1111-1-111-1-111-111-11-1
χ151111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-11-1-11111-1-111-1-1-111-11-1-1111-1-111-1
χ161111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-111-1-11-11-1-11
χ17222222-122-1-12222-12-1-122222-1-1-1-12222222-1-100-1-1-1-1-1-1-1-1-1-1-1-1-10222200000000-1-1-1-1000000002222-1-1-1-12-12-1-1-1-1-100002-1-1000000-10
χ18222222-122-1-12222-12-1-122222-1-1-1-12222222-1-100-1-1-1-1-1-1-1-1-1-1-1-1-102-22-200000000-1-11100000000-2-22-2-1-1112-1-21-1-1110000-21100000010
χ19222222-122-1-12222-12-1-122222-1-1-1-12222222-1-100-1-1-1-1-1-1-1-1-1-1-1-1-10-22-220000000011-1-100000000-2-2-2211-1-1-212-111-1-10000-21100000010
χ20222222-122-1-12222-12-1-122222-1-1-1-12222222-1-100-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000000011110000000022-2-21111-21-21111100002-1-1000000-10
χ21222222-122-1-12222-1-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100-111111-1-1-11111022-2-200000000-1-1-1-1000000002222-1-1-1-1-21-2111110000-2-1-100000010
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χ23222222-122-1-12222-1-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100-111111-1-1-111110-222-20000000011-1-100000000-2-2-2211-1-12-1-21-1-1110000211000000-10
χ24222222-122-1-12222-1-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100-111111-1-1-111110-2-2220000000011110000000022-2-211112-12-1-1-1-1-10000-2-1-100000010
χ2522222-122-12222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-12-122-1222-1-1-1-1-1-1-1-1-12020222-1-122-1-10022-1-1-1-1-1-1-1-1000-100-1-100-1200-1-102020000000-1-100
χ2622222-122-12222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-12-122-1222-1-1-1-1-1-1-1-1-120-20-222-1-122-1-100-2-2-1-1-1-1-1-1-1-100010011001-200110-20-200000001100
χ2722222-122-12222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-1222-1-1-1-1-1-1-1-1-1-20202-2-211-2-211002211111111000-100-1-100-1200-1-10-20-200000001100
χ2822222-122-12222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-1222-1-1-1-1-1-1-1-1-1-20-20-2-2-211-2-21100-2-21111111100010011001-2001102020000000-1-100
χ2922222-122-12222-1-12-22-1-1-2-21122-1-1-1-1-111112-122-1-2-2-211-1-1-11111-2020-222-1-1-2-2110022-1-1-1-11111000-100-1-1001-200110-2020000000-1100
χ3022222-122-12222-1-12-22-1-1-2-21122-1-1-1-1-111112-122-1-2-2-211-1-1-11111-20-20222-1-1-2-21100-2-2-1-1-1-111110001001100-1200-1-1020-200000001-100
χ3122222-122-12222-1-12-22-1-1-2-21122-1-1-1-1-111112-1-2-2-1-2-2-211-1-1-111112020-2-2-21122-1-100221111-1-1-1-1000-100-1-1001-20011020-200000001-100
χ3222222-122-12222-1-12-22-1-1-2-21122-1-1-1-1-111112-1-2-2-1-2-2-211-1-1-1111120-202-2-21122-1-100-2-21111-1-1-1-10001001100-1200-1-10-2020000000-1100
χ332222-122-1222-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-122020-1-122-1-1222200-1-1-1-1-1-1-1-100-10-1-100-1200-1-100202000000-1-10000
χ342222-122-1222-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-12-20-20-1-122-1-122-2-200-1-1-1-1-1-1-1-1001011001-2001100-20-2000000110000
χ352222-122-1222-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-2202011-2-211-2-222001111111100-10-1-100-1200-1-100-20-2000000110000
χ362222-122-1222-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-2-20-2011-2-211-2-2-2-20011111111001011001-2001100202000000-1-10000
χ372222-122-1222-1-1222-2-12-111-2-2-1-122-1-1-11111-1222-1-211-2-2-1-1-11111-220-20-1-12211-2-22200-1-1-1-1111100-10-1-1001-2001100-202000000-110000
χ382222-122-1222-1-1222-2-12-111-2-2-1-122-1-1-11111-1222-1-211-2-2-1-1-11111-2-2020-1-12211-2-2-2-200-1-1-1-1111100101100-1200-1-10020-20000001-10000
χ392222-122-1222-1-1222-2-12-111-2-2-1-122-1-1-11111-12-2-2-1-211-2-2-1-1-11111220-2011-2-2-1-12222001111-1-1-1-100-10-1-1001-200110020-20000001-10000
χ402222-122-1222-1-1222-2-12-111-2-2-1-122-1-1-11111-12-2-2-1-211-2-2-1-1-111112-202011-2-2-1-122-2-2001111-1-1-1-100101100-1200-1-100-202000000-110000
χ412-2-22222-2-2-2-22-22-22022200002-22-22-2-20000-2-22-22000002-2-20000000002-22-20000000022-2-200002-200000000000000000002-22-2000000
χ422-2-22222-2-2-2-22-22-22022200002-22-22-2-20000-2-22-22000002-2-20000000002-22-20000000022-2-20000-220000000000000000000-22-22000000
χ432-2-22222-2-2-2-22-22-22022200002-22-22-2-20000-2-2-222000002-2-2000000000-22-2200000000-2-22200002-200000000000000000002-2-22000000
χ442-2-22222-2-2-2-22-22-22022200002-22-22-2-20000-2-2-222000002-2-2000000000-22-2200000000-2-2220000-220000000000000000000-222-2000000
χ4544444-2-24-2-2-244-2-2-24-21-244-2-2-2-211-2-2-2-2-2-2-2-21001-2-2-2111111111004040000000000-2-200000000000-2001100-2-20011000000000000000
χ4644444-2-24-2-2-244-2-2-24-21-244-2-2-2-211-2-2-2-2-2-2-2-21001-2-2-211111111100-40-400000000002200000000000200-1-1002200-1-1000000000000000
χ4744444-2-24-2-2-244-2-2-2-4-21-2-4-422-2-211-2-2-22222-21001222-1-1111-1-1-1-10040-40000000000-2-200000000000-20011002200-1-1000000000000000
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χ494444-24-2-24-2-2-2-244-241-2-2-2-24411-2-2-2-2-2-2-2-2-21-2001-211-2-211111110404000000000-2-2000000000000-201100-2-2001100000000000000000
χ504444-24-2-24-2-2-2-244-241-2-2-2-24411-2-2-2-2-2-2-2-2-21-2001-211-2-211111110-40-40000000002200000000000020-1-1002200-1-100000000000000000
χ514444-24-2-24-2-2-2-244-2-41-2-222-4-411-2-2-2-2-222221-20012-1-122111-1-1-1-1040-4000000000-2-2000000000000-2011002200-1-100000000000000000
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χ534444-2-24-2-244-2-2-2-244-2-21-2-2-2-2-2-2-2-21111111-2-24414-2-2-2-2111111140000-2-2-2-2-2-2-2-20000111111110000000000000000000000000000000
χ544444-2-24-2-244-2-2-2-244-2-21-2-2-2-2-2-2-2-21111111-2-2-4-414-2-2-2-21111111-40000222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ554444-2-24-2-244-2-2-2-24-4-2-212222-2-2-2-2111-1-1-1-1-2-2441-42222111-1-1-1-1-40000-2-2-2-2222200001111-1-1-1-10000000000000000000000000000000
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χ6544-4-4-24-2-2-4-2222-44201-2-22i3−2i300-1-12-22-222i32i3−2i3−2i3120010−i3i300-11-1−i3−i3i3i30000000000000−2i32i300000000000000i3−i3000000-3300000000000000000
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χ924-4-44-2442-4-4-4-224-440-24-20000-224-4-22200002-4-44-200000-2220000000002-2-440000000022-2-200000000000000000000000000000000000
χ934-4-44-2-2422-4-4-22-2240-2-210000-22-221-1-13-3-33224-41000001-1-13-3-3300000-22-220000000011-1-13-3-330000000000000000000000000000000
χ944-4-44-2-2422-4-4-22-2240-2-210000-22-221-1-13-3-3322-441000001-1-13-3-33000002-22-200000000-1-111-333-30000000000000000000000000000000
χ954-4-44-2-2422-4-4-22-2240-2-210000-22-221-1-1-333-3224-41000001-1-1-333-300000-22-220000000011-1-1-333-30000000000000000000000000000000
χ964-4-44-2-2422-4-4-22-2240-2-210000-22-221-1-1-333-322-441000001-1-1-333-3000002-22-200000000-1-1113-3-330000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222222-2-2-2-22200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-484-44-8-84-440-42-4000044-224-440000-4-200200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-44444-4402224i3−4i300-2-2-22-22-2−2i3−2i32i32i32-200-10−2i32i3001-11i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-44444-440222−4i34i300-2-2-22-22-22i32i3−2i3−2i32-200-102i3−2i3001-11−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-4484-44-4-8-8402-4-40000-224444-40000-2-400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-44-44440222004i3−4i3-22-2-2-2-22−2i32i3−2i32i3-2200-1000−2i32i311-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44-4444022200−4i34i3-22-2-2-2-222i3−2i32i3−2i3-2200-10002i3−2i311-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-84448-8-44-40-42-40000-442-2-44400004-2002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-844-448-8-402-4-400002-2-44-4440000-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-44-44-4022200002-22-22-2-26-6-66-2-200-100000-111-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-44-44-4022200002-22-22-2-2-666-6-2-200-100000-1113-3-3300000000000000000000000000000000000000000000000000000000

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