Finite Group Databasebeta

← Group #13172675

Character table — Group #13172675

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666233366666666666222244366666666666666624466666666661212121212122222666666666661212121212121212122444666612124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-111-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-1111111111111111111111-1-1111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-11111-111
χ51111111111111111111111111111111-1-1111111111111111111111-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-11111-111-1-11111-1-111-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11
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
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-11
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-11-1
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-11-11-1-111-1-11111-1
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-111-111-1-111-1-1-111-1-1-1-1-111-1-11-11
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-111-1-1-1-1111111-1-1111111-1-1-111-1-11-1-111-1-111-111-1-1-1-1-111111-1-1
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-11-11-1-111-1-1-1-1111
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-1-1-111
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1111111111-1-11-11-111111111-1-1-1
χ17222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1220022-12222-1-1-1-1-1-1-1-1-1-1-1220002200-1-1-1-1-1-1-1-1222222-1-1-1-12-1-100-1-1200-1-100-1-1000000-1-10000000
χ18222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-12200-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-220002200-1-111-1-111-2-2-2-2-2-21111-2-1-10011200-1-10011000000110000000
χ19222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1-2-20022-12222-1-1-1-1-1-1-1-1-1-1-12-2000-2-20011-1-111-1-122-2-2-2-2111121100-1-1-2001100-1-1000000110000000
χ20222222-12-1-122-122222-1-1-1-122-1-1-1-12-1-1-2-200-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-2-2000-2-20011111111-2-22222-1-1-1-1-2110011-200110011000000-1-10000000
χ21222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1220022-1-2-2-2-21111-1-1-11111-2-20002200-1-11111-1-12222-2-21111-2-1-10011-2001100-1-1000000-1-10000000
χ22222222-12-1-122-1222-22-1-11122-1-1-1-12-1-12200-2-2-1-2-2-2-21111-1-1-111112-20002200-1-1-1-11111-2-2-2-222-1-1-1-12-1-100-1-1-200110011000000110000000
χ23222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1-2-20022-1-2-2-2-21111-1-1-11111-22000-2-2001111-1-1-1-122-2-222-1-1-1-1-2110011200-1-100-1-1000000110000000
χ24222222-12-1-122-1222-22-1-11122-1-1-1-12-1-1-2-200-2-2-1-2-2-2-21111-1-1-1111122000-2-20011-1-1-1-111-2-222-2-2111121100-1-1200-1-10011000000-1-10000000
χ2522222-12222-1-12-1222-12-122-1-122-1-1-12-1222200-12-1-1-122-1-1-1-1-1-1-1-1-102222-1-1-1-12200220000000000000-1-1-1-100-1-12-1-1-1-1002200-1-1000000-100
χ2622222-12222-1-12-1222-12-122-1-122-1-1-12-122-2-200-12-1-1-122-1-1-1-1-1-1-1-1-102-2-2-2-1-1112200220000000000000-1-11100-11-2-1-11100-2-20011000000100
χ2722222-12222-1-12-1222-12-122-1-122-1-1-12-1-2-22200-12-1-1-122-1-1-1-1-1-1-1-1-10-222211-1-1-2-200-2-2000000000000011-1-1001-1211-1-100-2-20011000000100
χ2822222-12222-1-12-1222-12-122-1-122-1-1-12-1-2-2-2-200-12-1-1-122-1-1-1-1-1-1-1-1-10-2-2-2-21111-2-200-2-2000000000000011110011-21111002200-1-1000000-100
χ2922222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-1222200-1-2111-2-211-1-1-111110-2-222-1-1-1-12200-2-20000000000000-1-1-1-10011-21111002-200-1-1000000100
χ3022222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-122-2-200-1-2111-2-211-1-1-111110-22-2-2-1-1112200-2-20000000000000-1-111001-1211-1-100-220011000000-100
χ3122222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-1-2-22200-1-2111-2-211-1-1-1111102-22211-1-1-2-20022000000000000011-1-100-11-2-1-11100-220011000000-100
χ3222222-12222-1-12-122-2-12-1-2-2-1-122-1-1-12-1-2-2-2-200-1-2111-2-211-1-1-11111022-2-21111-2-200220000000000000111100-1-12-1-1-1-1002-200-1-1000000100
χ332222-122-1222222-1-12-1-1222-1-1-1-122-1-12002222-1-12-1-1-1-122-1-1-1-1-1-1-1202-1-1002200220022-1-100000000-100-1-1-1-102-100-1-1-1-100220000-1-1000-10
χ342222-122-1222222-1-12-1-1222-1-1-1-122-1-120022-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-202-1-1002200-2-200-2-21100000000100-1-11102-100-1-11100-2-200001100010
χ352222-122-1222222-1-12-1-1222-1-1-1-122-1-1200-2-222-1-12-1-1-1-122-1-1-1-1-1-1-120-21100-2-200220022-1-100000000-10011-1-10-210011-1-100-2-200001100010
χ362222-122-1222222-1-12-1-1222-1-1-1-122-1-1200-2-2-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-20-21100-2-200-2-200-2-2110000000010011110-2100111100220000-1-1000-10
χ372222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-12002222-11-21111-2-2-1-1-11111-20-2-1-1002200-2-20022-1-100000000100-1-1110-210011-1-1002-20000-1-100010
χ382222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-120022-2-2-11-21111-2-2-1-1-1111120-2-1-10022002200-2-21100000000-100-1-1-1-10-2100111100-22000011000-10
χ392222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-1200-2-222-11-21111-2-2-1-1-11111-2021100-2-200-2-20022-1-100000000100111102-100-1-1-1-100-22000011000-10
χ402222-122-1222222-1-1-2-1-12-2-2-1-1-1-122-1-1200-2-2-2-2-11-21111-2-2-1-1-111112021100-2-2002200-2-21100000000-10011-1-102-100-1-111002-20000-1-100010
χ412-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-2222-2002-22000000002-2-20000000002-2002-200002-22-22-200000002-2000000000002-20000002-20000000
χ422-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-2222-200-222000000002-2-20000000002-2002-20000-22-22-2200000002-200000000000-22000000-220000000
χ432-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-222-22002-22000000002-2-2000000000-2200-2200002-22-2-220000000-22000000000002-2000000-220000000
χ442-22-2222-2-2-22-22-22-20222002-2-2-2-2-2-222-2200-222000000002-2-2000000000-2200-220000-22-222-20000000-2200000000000-220000002-20000000
χ452-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-12-2002-2-10000−i3i3−i3i3-111−i3−i3i3i3000002-200-11−i3i3−i3i3-112-22-200−i3−i3i3i30-1100−i3i3000−i3i300-11000000-110000000
χ462-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-12-200-22-10000−i3i3−i3i3-111−i3−i3i3i3000002-200-11i3−i3−i3i31-1-22-2200i3i3−i3−i30-1100i3−i3000−i3i3001-10000001-10000000
χ472-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-1-22002-2-10000−i3i3−i3i3-111−i3−i3i3i300000-22001-1−i3i3i3−i3-112-2-2200i3i3−i3−i301-100−i3i3000i3−i300-110000001-10000000
χ482-22-222-1-2112-2-1-22-202-1-1−i3i32-21111-2-1-1-2200-22-10000−i3i3−i3i3-111−i3−i3i3i300000-22001-1i3−i3i3−i31-1-222-200−i3−i3i3i301-100i3−i3000i3−i3001-1000000-110000000
χ492-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-12-2002-2-10000i3−i3i3−i3-111i3i3−i3−i3000002-200-11i3−i3i3−i3-112-22-200i3i3−i3−i30-1100i3−i3000i3−i300-11000000-110000000
χ502-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-12-200-22-10000i3−i3i3−i3-111i3i3−i3−i3000002-200-11−i3i3i3−i31-1-22-2200−i3−i3i3i30-1100−i3i3000i3−i3001-10000001-10000000
χ512-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-1-22002-2-10000i3−i3i3−i3-111i3i3−i3−i300000-22001-1i3−i3−i3i3-112-2-2200−i3−i3i3i301-100i3−i3000−i3i300-110000001-10000000
χ522-22-222-1-2112-2-1-22-202-1-1i3−i32-21111-2-1-1-2200-22-10000i3−i3i3−i3-111i3i3−i3−i300000-22001-1−i3i3−i3i31-1-222-200i3i3−i3−i301-100−i3i3000−i3i3001-1000000-110000000
χ532-2-22222-22-2-22-2-2-22022200-2-22-22-22-2-2002-200200000000-22-200000002-2002-20000000000002-22-22-20002-20000000000000000000002-2000
χ542-2-22222-22-2-22-2-2-22022200-2-22-22-22-2-2002-200200000000-22-200000002-2002-2000000000000-22-22-220002-2000000000000000000000-22000
χ552-2-22222-22-2-22-2-2-22022200-2-22-22-22-2-200-2200200000000-22-20000000-2200-220000000000002-22-22-2000-22000000000000000000000-22000
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χ5944444-2-24-2-2-2-2-2-244-4-2-2122-2-2-2-211-2-214400001-422222-1-1111-1-1-1-10-4000-2-200-2-200220000000000000110000200-1-10000000000000000000
χ6044444-2-24-2-2-2-2-2-244-4-2-2122-2-2-2-211-2-21-4-400001-422222-1-1111-1-1-1-10400022002200-2-20000000000000-1-10000-200110000000000000000000
χ614444-24-2-2-2-244-24-2-24-21-2-2-2-2-211-2-2-21-20000441-24-2-211-2-2111111140000000000-2-200-2-2-2-200000000-2000011000000011000000000000000
χ624444-24-2-2-2-244-24-2-24-21-2-2-2-2-211-2-2-21-20000-4-41-24-2-211-2-21111111-40000000000220022220000000020000-1-10000000-1-1000000000000000
χ634444-24-2-2-2-244-24-2-2-4-21-222-2-211-2-2-21-200004412-422-1-122111-1-1-1-1-400000000002200-2-2-2-20000000020000-1-1000000011000000000000000
χ644444-24-2-2-2-244-24-2-2-4-21-222-2-211-2-2-21-20000-4-412-422-1-122111-1-1-1-140000000000-2-200222200000000-20000110000000-1-1000000000000000
χ654444-2-24-244-2-24-2-2-241-2-24411-2-2-2-21-2-20044001-2-211-2-2-2-21111111004-2-200-2-200000000000000000000011000-2-2001100000000000000000
χ664444-2-24-244-2-24-2-2-241-2-24411-2-2-2-21-2-200-4-4001-2-211-2-2-2-2111111100-4220022000000000000000000000-1-10002200-1-100000000000000000
χ674444-2-24-244-2-24-2-2-2-41-2-2-4-411-2-2-2-21-2-2004400122-1-12222111-1-1-1-100-4-2-200-2-2000000000000000000000110002200-1-100000000000000000
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χ804-44-44-2-2-422-22-224-40-2-212i3−2i3-2222-1-12-214-40000100002i3−2i3−i3i31-1-1−i3−i3i3i300000-2200-22002i3−2i300000000000001-10000000−i3i30000000000000000000
χ814-44-44-2-2-422-22-224-40-2-212i3−2i3-2222-1-12-21-440000100002i3−2i3−i3i31-1-1−i3−i3i3i3000002-2002-200−2i32i30000000000000-110000000i3−i30000000000000000000
χ824-44-4-2442-4-44-44-4-220-2-2400-2222-4-42-2400004-4-200000000-22200000000000000000004-4-220000000000000000000000-22000000000000000
χ834-44-4-2442-4-44-44-4-220-2-2400-2222-4-42-240000-44-200000000-2220000000000000000000-442-200000000000000000000002-2000000000000000
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χ854-44-4-24-22224-4-2-4-220-21-2−2i32i3-22-1-12221-20000-4410000i3−i3−2i32i31-1-1i3i3−i3−i3000000000002i3−2i3002-22-20000000000000−i3i30000000-11000000000000000
χ864-44-4-24-22224-4-2-4-220-21-22i3−2i3-22-1-12221-200004-410000−i3i32i3−2i31-1-1−i3−i3i3i3000000000002i3−2i300-22-220000000000000−i3i300000001-1000000000000000
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χ894-4-4444-2-4-22-442-4-4404-2-200-4-4-22-22422000000-2000000002-220000000000000000000000000-442-22-20000000000000000000000000000000
χ904-4-444-24-44-42-2-42-440-24-200224-4-22-2-42004-400-2000000002-2200000004-400-22000000000000000000000-2200000000000000000000000000
χ914-4-444-24-44-42-2-42-440-24-200224-4-22-2-4200-4400-2000000002-220000000-44002-20000000000000000000002-200000000000000000000000000
χ924-4-44-24424-4-44-4-42-20-2-240022-224-4-22-4004-400-2000000002-220000000-22004-4000000000000000000000-2200000000000000000000000000
χ934-4-44-24424-4-44-4-42-20-2-240022-224-4-22-400-4400-2000000002-2200000002-200-440000000000000000000002-200000000000000000000000000
χ944-4-44-2-2424-42-2-422-201-2-200-1-1-22-22122004-4001003-30000-11-13-33-3000-2200-220000000000000000000001-100000003-300000000000000000
χ954-4-44-2-2424-42-2-422-201-2-200-1-1-22-22122004-400100-330000-11-1-33-33000-2200-220000000000000000000001-10000000-3300000000000000000
χ964-4-44-2-2424-42-2-422-201-2-200-1-1-22-2212200-44001003-30000-11-13-33-30002-2002-2000000000000000000000-110000000-3300000000000000000
χ974-4-44-2-2424-42-2-422-201-2-200-1-1-22-2212200-4400100-330000-11-1-33-330002-2002-2000000000000000000000-1100000003-300000000000000000
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).