Finite Group Databasebeta

← Group #13172687

Character table — Group #13172687

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666233366666666666224444366666666666666622466666612121212121212121212222266666666666661212121212121224446612121212226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111-1111111111-1-11111-1-111111111-11-11111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1111-1-111111-1-111-1-111-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111-11
χ51111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1111111-1-1-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-11-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-11-11111111-1-1-1-11
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1111-1-111-1-1-111-1-11-11-111-1-1-1-11111-1
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111111-1-111-1-1-1-111-1-1111111-11-11111-1-1-1-1-1-1-1111-1-11-1-1-1-111111-1-1
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-11111111-111-1-1-111-1-111-11-1
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111111-11-1-1-1-11111111-1-11-1-11-1-1-1-111-1-11-11
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11-1-1-111-1-1111-1-1111-11-111-1-1-1-1-1-1111
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-11111111-1-1-1-1-11-1111111111-1-1-1
χ17222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1222200-12222-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-12200-1-1-1-1002222-1-1-1-1020-1-1-1-1002-1-1-1-1000000-1-1000000000
χ18222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-122-2-200-12222-1-1-1-1-1-1-1-1-1-1-1-20222-1-111-2-200-1-11100-2-2-2-211110-20-1-111002-1-11100000011000000000
χ19222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1-2-22200-12222-1-1-1-1-1-1-1-1-1-1-120-2-2-211-1-1220011-1-100-2-2-2-2111102011-1-100-211-1-100000011000000000
χ20222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1-2-2-2-200-12222-1-1-1-1-1-1-1-1-1-1-1-20-2-2-21111-2-2001111002222-1-1-1-10-20111100-21111000000-1-1000000000
χ21222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1222200-1-2-2-2-21111-1-1-11111-20-222-1-111220011-1-10022-2-211110-20-1-11100-211-1-1000000-1-1000000000
χ22222222-12-1-122-1222-22-1-11122-1-1-1-12-1-122-2-200-1-2-2-2-21111-1-1-1111120-222-1-1-1-1-2-200111100-2-222-1-1-1-1020-1-1-1-100-2111100000011000000000
χ23222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1-2-22200-1-2-2-2-21111-1-1-11111-202-2-211112200-1-1-1-100-2-222-1-1-1-10-201111002-1-1-1-100000011000000000
χ24222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1-2-2-2-200-1-2-2-2-21111-1-1-11111202-2-211-1-1-2-200-1-1110022-2-2111102011-1-1002-1-111000000-1-1000000000
χ2522222-12222-1-12-1222-12-122-1-122-1-1-12-1002222-12-1-1-122-1-1-1-1-1-1-1-1-1220000022-1-1-1-1002222000000002-1-100-1-1-1-1000-1-1-1-1220000-1-10000-100
χ2622222-12222-1-12-1222-12-122-1-122-1-1-12-10022-2-2-12-1-1-122-1-1-1-1-1-1-1-1-12-20000022-1-1110022-2-200000000-2-1100-1-111000-1-111-2-20000110000100
χ2722222-12222-1-12-1222-12-122-1-122-1-1-12-100-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1-2200000-2-211-1-100-2-2220000000021-10011-1-100011-1-1-2-20000110000100
χ2822222-12222-1-12-1222-12-122-1-122-1-1-12-100-2-2-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-2-200000-2-2111100-2-2-2-200000000-2110011110001111220000-1-10000-100
χ2922222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-1002222-1-2111-2-211-1-1-11111-2-200000-2-2-1-1-1-100222200000000-211001111000-1-1-1-1-220000-1-10000100
χ3022222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-10022-2-2-1-2111-2-211-1-1-11111-2200000-2-2-1-1110022-2-20000000021-10011-1-1000-1-1112-20000110000-100
χ3122222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-100-2-222-1-2111-2-211-1-1-111112-2000002211-1-100-2-22200000000-2-1100-1-11100011-1-12-20000110000-100
χ3222222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-100-2-2-2-2-1-2111-2-211-1-1-11111220000022111100-2-2-2-2000000002-1-100-1-1-1-10001111-220000-1-10000100
χ332222-122-1222222-1-12-1-1222-1-1-1-122-1-12220022-1-12-1-1-1-122-1-1-1-1-1-1-1022-1-1220000222200-1-100000000-102-1-100-1-1-1-1-100-1-100220000-1-1000-10
χ342222-122-1222222-1-12-1-1222-1-1-1-122-1-122200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-22-1-1220000-2-22200110000000010-2-1-10011-1-1-1001100-2-200001100010
χ352222-122-1222222-1-12-1-1222-1-1-1-122-1-12-2-20022-1-12-1-1-1-122-1-1-1-1-1-1-102-211-2-2000022-2-200-1-100000000-1021100-1-111100-1-100-2-200001100010
χ362222-122-1222222-1-12-1-1222-1-1-1-122-1-12-2-200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2-211-2-20000-2-2-2-200110000000010-2110011111001100220000-1-1000-10
χ372222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-12220022-11-21111-2-2-1-1-111110-2-2-1-122000022-2-200-1-10000000010-2-1-1001111100-1-100-220000-1-100010
χ382222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-122200-2-2-11-21111-2-2-1-1-1111102-2-1-1220000-2-2-2-2001100000000-102-1-100-1-11110011002-2000011000-10
χ392222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-12-2-20022-11-21111-2-2-1-1-111110-2211-2-20000222200-1-10000000010-2110011-1-1-100-1-1002-2000011000-10
χ402222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-12-2-200-2-2-11-21111-2-2-1-1-1111102211-2-20000-2-222001100000000-1021100-1-1-1-1-1001100-220000-1-100010
χ412-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-2222-22-2002000000002-2-200000002-22-2002-200002-2002-20000000002-200000002-20000002-2000000000
χ422-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-2222-2-22002000000002-2-200000002-22-200-220000-2200-220000000002-20000000-22000000-22000000000
χ432-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-222-222-2002000000002-2-20000000-22-22002-200002-200-22000000000-2200000002-2000000-22000000000
χ442-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-222-22-22002000000002-2-20000000-22-2200-220000-22002-2000000000-220000000-220000002-2000000000
χ452-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-12-22-200-10000−i3i3−i3i3-111−i3−i3i3i30002-2-11−i3i32-200−i3i3-11002-200−i3−i3i3i3000-11−i3i3000−i3i3-11000000-11000000000
χ462-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-12-2-2200-10000−i3i3−i3i3-111−i3−i3i3i30002-2-11i3−i3-2200−i3i31-100-2200i3i3−i3−i3000-11i3−i3000−i3i31-10000001-1000000000
χ472-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-1-222-200-10000−i3i3−i3i3-111−i3−i3i3i3000-221-1−i3i32-200i3−i3-1100-2200i3i3−i3−i30001-1−i3i3000i3−i3-110000001-1000000000
χ482-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-1-22-2200-10000−i3i3−i3i3-111−i3−i3i3i3000-221-1i3−i3-2200i3−i31-1002-200−i3−i3i3i30001-1i3−i3000i3−i31-1000000-11000000000
χ492-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-12-22-200-10000i3−i3i3−i3-111i3i3−i3−i30002-2-11i3−i32-200i3−i3-11002-200i3i3−i3−i3000-11i3−i3000i3−i3-11000000-11000000000
χ502-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-12-2-2200-10000i3−i3i3−i3-111i3i3−i3−i30002-2-11−i3i3-2200i3−i31-100-2200−i3−i3i3i3000-11−i3i3000i3−i31-10000001-1000000000
χ512-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-1-222-200-10000i3−i3i3−i3-111i3i3−i3−i3000-221-1i3−i32-200−i3i3-1100-2200−i3−i3i3i30001-1i3−i3000−i3i3-110000001-1000000000
χ522-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-1-22-2200-10000i3−i3i3−i3-111i3i3−i3−i3000-221-1−i3i3-2200−i3i31-1002-200i3i3−i3−i30001-1−i3i3000−i3i31-1000000-11000000000
χ532-2-22222-22-2-22-2-2-22022200-2-22-22-22-2-200002-2200000000-22-20000000000000002-200002-2002-22-22-2000000000000002-200000000002-2000
χ542-2-22222-22-2-22-2-2-22022200-2-22-22-22-2-200002-2200000000-22-20000000000000002-200002-200-22-22-22000000000000002-20000000000-22000
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χ5744444-2-24-2-2-2-2-2-2444-2-21-2-2-2-2-2-211-2-2100440014-2-2-2-2-21111111114000000-2-2-2-20000-2-200000000000-200011000001100000000000000000
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χ5944444-2-24-2-2-2-2-2-244-4-2-2122-2-2-2-211-2-210044001-422222-1-1111-1-1-1-1-400000022-2-20000-2-2000000000002000-1-1000001100000000000000000
χ6044444-2-24-2-2-2-2-2-244-4-2-2122-2-2-2-211-2-2100-4-4001-422222-1-1111-1-1-1-14000000-2-22200002200000000000-20001100000-1-100000000000000000
χ614444-24-2-2-2-244-24-2-24-21-2-2-2-2-211-2-2-21-24400001-24-2-211-2-21111111004-2-2-2-2000000-2-2000000000000000110000-2110000000000000000000
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χ634444-24-2-2-2-244-24-2-2-4-21-222-2-211-2-2-21-244000012-422-1-122111-1-1-1-100-4-2-2-2-2000000220000000000000001100002-1-10000000000000000000
χ644444-24-2-2-2-244-24-2-2-4-21-222-2-211-2-2-21-2-4-4000012-422-1-122111-1-1-1-10042222000000-2-2000000000000000-1-10000-2110000000000000000000
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χ814-44-44-2-2-422-22-224-40-2-212i3−2i3-2222-1-12-2100-4400100002i3−2i3−i3i31-1-1−i3−i3i3i30000000−2i32i32-200002-2000000000000000i3−i300000-1100000000000000000
χ824-44-4-2442-4-44-44-4-220-2-2400-2222-4-42-244-40000-200000000-2220000000-224-400000000000000000000000-2200000000000000000000000000
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χ884-4-4444-2-4-22-442-4-4404-2-200-4-4-22-22422000000-2000000002-2200000000000000000000000004-4-22-220000000000000000000000000000000
χ894-4-4444-2-4-22-442-4-4404-2-200-4-4-22-22422000000-2000000002-220000000000000000000000000-442-22-20000000000000000000000000000000
χ904-4-444-24-44-42-2-42-440-24-200224-4-22-2-4200004-4-2000000002-22000000000000000-2200004-40000000000000000000000-22000000000000000
χ914-4-444-24-44-42-2-42-440-24-200224-4-22-2-420000-44-2000000002-220000000000000002-20000-4400000000000000000000002-2000000000000000
χ924-4-44-24424-4-44-4-42-20-2-240022-224-4-22-400004-4-2000000002-220000000000000004-40000-220000000000000000000000-22000000000000000
χ934-4-44-24424-4-44-4-42-20-2-240022-224-4-22-40000-44-2000000002-22000000000000000-4400002-200000000000000000000002-2000000000000000
χ944-4-44-2-2424-42-2-422-201-2-200-1-1-22-2212200004-41003-30000-11-13-33-300000000000-220000-220000000000000003-3000001-1000000000000000
χ954-4-44-2-2424-42-2-422-201-2-200-1-1-22-2212200004-4100-330000-11-1-33-3300000000000-220000-22000000000000000-33000001-1000000000000000
χ964-4-44-2-2424-42-2-422-201-2-200-1-1-22-221220000-441003-30000-11-13-33-3000000000002-200002-2000000000000000-3300000-11000000000000000
χ974-4-44-2-2424-42-2-422-201-2-200-1-1-22-221220000-44100-330000-11-1-33-33000000000002-200002-20000000000000003-300000-11000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-484-4444-4-8-80-4-42004-44-4-2244-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-44-4-8-848440-42-4004-4-224-44-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-4-8844-8-44402-4-400-224-44-4-244000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-4444-444022200-22-22-22-2-2-2000000-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-44-4444-444022200-22-22-22-2-2-2000000-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-484-8-8-4484-4402-4-4002-24444-2-4-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-44-44-440222−4i34i32-2-2-2-2-2-222000000-100002i3−2i32i3−2i3-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-44-44-4402224i3−4i32-2-2-2-2-2-222000000-10000−2i32i3−2i32i3-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-4-8-444-444-880-4-420044-442-2-44-2000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-44-44-884-84-40-42-400442-2-44-4-24000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-444-4444-4022200-2-22-22-22-2-2000000-1006-600001-11-33-330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-444-4444-4022200-2-22-22-22-2-2000000-100-6600001-113-33-30000000000000000000000000000000000000000000000000000000000

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