Finite Group Databasebeta

← Group #13170527

Character table — Group #13170527

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11222222222444444444444444444444666688888888888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363654547272108
order122333446663336666666612121212121212121212224436666612121212121212122224666666666612121212121266666666666121212121222246666668812128824248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111-1-111-1-11111-111-1-11111-111-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-111111-1-1-1-111111-111-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ511111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-111-1-111-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-11
χ711111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-1-1-11111-1-11
χ811111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1
χ911-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-11-11-11-111-1-11-1111-1-1-11-11-111-11111-1-1-11-1-1-111-1-11111-1-11-1-1-1111-1-1
χ1011-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-11-1-111-111-1-11-1-1-11-1111-11-1-11-1-1-111-1-111-1111-11-111-1-111-11-1-1-1-1-111
χ1111-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-1-111-11-1-1-1111-1111-1-1-11-1-1111-111-1-111-11-1-1-1-11-11-1-111-1-1-1111-1-1-111
χ1211-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-1-11-111-1-1-1111-1-1-11-1111-1-11-11-1-1-1-1-11111-111-1-111-1-1-1-1111-111111-1-1
χ1311-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-11-11-1-1111-1-1-1111-11-1-1-111-11-111111-1-1-1-11-1-1-1-111-1-1-1-1111-111-1-11-11
χ1411-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-11-1-11-1111-1-1-11-1-1-1111-111-1-1-11-1-111-1-11-1111-11-11-1-111-1-1-111111-11-1
χ1511-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-1-111-1-11-1-111-1111-11-1-1-11-111-1111-1-111-1-11-1-11-11-111-1-111-11-1-111-11-1
χ1611-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-1-11-11-11-1-111-11-1-1-1111-11-11-1-11-1-1-1-1111-111111-1-11111-1-11-1-1-1-1-11-11
χ17222222-2-222222222222222-2-2-2-2-2-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-200002-200002-200-2200-220002-20000000-22000000000000000000000
χ18222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-222-2222222-2-2-2-2-2-2-2-20000-220000-22002-2002-2000-2200000002-2000000000000000000000
χ1922222-1222-12-1-1222-1222-1-12-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-122002-1-1-1-100002-1-1-1-1022000-1-1-1-1000000000
χ2022222-1222-12-1-1222-1222-1-12-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-100-2-2220000-1-111-1-1112200-2-1-1110000-2-1-1110-2-20001111000000000
χ2122222-1222-12-1-1222-1222-1-12-1-122-1-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10022-2-2000011-1-111-1-1-2-200211-1-10000211-1-10-2-20001111000000000
χ2222222-1222-12-1-1222-1222-1-12-1-122-1-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-2000011111111-2-200-211110000-21111022000-1-1-1-1000000000
χ2322222-1-2-22-12-1-1222-1222-1-1-211-2-21111-22-2-22-1-1-1-1-1-1-2-211111100002-20000-11−i3i31-1−i3i3-22000-11−i3i3000001-1−i3i3000000−i3i3−i3i3000000000
χ2422222-1-2-22-12-1-1222-1222-1-1-211-2-21111-22-2-22-1-1-1-1-1-1-2-211111100002-20000-11i3−i31-1i3−i3-22000-11i3−i3000001-1i3−i3000000i3−i3i3−i3000000000
χ2522222-1-2-22-12-1-1222-1222-1-1-211-2-21111-2-222-2-1-1-1-1-1-1-2-21111110000-2200001-1−i3i3-11−i3i32-20001-1−i3i300000-11−i3i3000000i3−i3i3−i3000000000
χ2622222-1-2-22-12-1-1222-1222-1-1-211-2-21111-2-222-2-1-1-1-1-1-1-2-21111110000-2200001-1i3−i3-11i3−i32-20001-1i3−i300000-11i3−i3000000−i3i3−i3i3000000000
χ272222-122222-12-1-12-12-1-1-12-1222-1-1-1-12222222-12-1-1-1-1-1-12-1-1-1-1-12200-1-1-1-1-1-122002200-1-1220-1-100-1-1-1-10-1-1002002-1-1000000-1-100000
χ282222-122222-12-1-12-12-1-1-12-1222-1-1-1-12222222-12-1-1-1-1-1-12-1-1-1-1-1-2-200-1-1111122002200-1-1-2-20-1-10011110-1-100-200-2110000001100000
χ292222-122222-12-1-12-12-1-1-12-1222-1-1-1-1222-2-2-2-2-12-1-1-1-1-1-12-1-1-1-1-1220011-1-1-1-1-2-200-2-200112201100-1-1-1-101100-200-2110000001100000
χ302222-122222-12-1-12-12-1-1-12-1222-1-1-1-1222-2-2-2-2-12-1-1-1-1-1-12-1-1-1-1-1-2-200111111-2-200-2-20011-2-2011001111011002002-1-1000000-1-100000
χ312222-12-2-222-12-1-12-12-1-1-12-1-2-2-21111-2-2-22-2-22-12-1-1-1-111-2111110000-11−i3i3−i3i32-200-22001-1000-1100−i3i3−i3i301-1000000−i3i3000000−i3i300000
χ322222-12-2-222-12-1-12-12-1-1-12-1-2-2-21111-2-2-22-2-22-12-1-1-1-111-2111110000-11i3−i3i3−i32-200-22001-1000-1100i3−i3i3−i301-1000000i3−i3000000i3−i300000
χ332222-12-2-222-12-1-12-12-1-1-12-1-2-2-21111-2-2-2-222-2-12-1-1-1-111-21111100001-1−i3i3−i3i3-22002-200-110001-100−i3i3−i3i30-11000000i3−i3000000i3−i300000
χ342222-12-2-222-12-1-12-12-1-1-12-1-2-2-21111-2-2-2-222-2-12-1-1-1-111-21111100001-1i3−i3i3−i3-22002-200-110001-100i3−i3i3−i30-11000000−i3i3000000−i3i300000
χ35222-12222-122-12-1-122-1-1-1-12-1222222-1-1-10000-1-12-1-1-1-1-1-12-1-1-1-122220022220022002200-1-1-100-1-1-1-1-1-1-100-1-10000000000220000-1-10
χ36222-12222-122-12-1-122-1-1-1-12-1222222-1-1-10000-1-12-1-1-1-1-1-12-1-1-1-122-2-200222200-2-200-2-200-1-110011-1-1-1-1100110000000000-2-20000110
χ37222-12222-122-12-1-122-1-1-1-12-1222222-1-1-10000-1-12-1-1-1-1-1-12-1-1-1-1-2-22200-2-2-2-2002200220011-100-1-11111-100-1-10000000000-2-20000110
χ38222-12222-122-12-1-122-1-1-1-12-1222222-1-1-10000-1-12-1-1-1-1-1-12-1-1-1-1-2-2-2-200-2-2-2-200-2-200-2-20011100111111100110000000000220000-1-10
χ3922-22222-2222222-2-2-2-2-22222-22-22-2-222-222-2-22-2-2-2-22-22-22-2-22200002200002200-2-200-2-2000220000000-2-2000000000000000000000
χ4022-22222-2222222-2-2-2-2-22222-22-22-2-222-2-2-2222-2-2-2-22-22-22-2-2220000-2-20000-2-200220022000-2-2000000022000000000000000000000
χ4122-222-12-22-12-1-12-2-21-2-22-1-121-1-2211-1-1-222-2-2-11111-1-221-111-1-10000220000-1-1−i3i311i3−i3-2-2000-1-1−i3i30000011i3−i3000000−i3i3i3−i3000000000
χ4222-222-12-22-12-1-12-2-21-2-22-1-121-1-2211-1-1-222-2-2-11111-1-221-111-1-10000220000-1-1i3−i311−i3i3-2-2000-1-1i3−i30000011−i3i3000000i3−i3−i3i3000000000
χ4322-222-12-22-12-1-12-2-21-2-22-1-121-1-2211-1-1-2-2-222-11111-1-221-111-1-10000-2-2000011−i3i3-1-1i3−i32200011−i3i300000-1-1i3−i3000000i3−i3−i3i3000000000
χ4422-222-12-22-12-1-12-2-21-2-22-1-121-1-2211-1-1-2-2-222-11111-1-221-111-1-10000-2-2000011i3−i3-1-1−i3i32200011i3−i300000-1-1−i3i3000000−i3i3i3−i3000000000
χ4522-222-1-222-12-1-12-2-21-2-22-1-1-2-112-2-1-11122-22-2-11111-12-2-11-1-111002-22-20000-11-1-1-11112-2002-11-1-10000-2-111102-2000-1-111000000000
χ4622-222-1-222-12-1-12-2-21-2-22-1-1-2-112-2-1-11122-22-2-11111-12-2-11-1-11100-222-20000-1111-11-1-12-200-2-111100002-11-1-10-2200011-1-1000000000
χ4722-222-1-222-12-1-12-2-21-2-22-1-1-2-112-2-1-1112-22-22-11111-12-2-11-1-111002-2-2200001-1-1-11-111-220021-1-1-10000-21-1110-2200011-1-1000000000
χ4822-222-1-222-12-1-12-2-21-2-22-1-1-2-112-2-1-1112-22-22-11111-12-2-11-1-11100-22-2200001-1111-1-1-1-2200-21-111000021-1-1-102-2000-1-111000000000
χ4922-22-122-222-12-1-1-21-211-12-12-221-11122-222-2-2-1-2111-11-1-2-111-1-10000-1-1−i3i3i3−i32200-2-20011000-1-100−i3i3i3−i3011000000−i3i3000000i3−i300000
χ5022-22-122-222-12-1-1-21-211-12-12-221-11122-222-2-2-1-2111-11-1-2-111-1-10000-1-1i3−i3−i3i32200-2-20011000-1-100i3−i3−i3i3011000000i3−i3000000−i3i300000
χ5122-22-122-222-12-1-1-21-211-12-12-221-11122-2-2-222-1-2111-11-1-2-111-1-1000011−i3i3i3−i3-2-2002200-1-10001100−i3i3i3−i30-1-1000000i3−i3000000−i3i300000
χ5222-22-122-222-12-1-1-21-211-12-12-221-11122-2-2-222-1-2111-11-1-2-111-1-1000011i3−i3−i3i3-2-2002200-1-10001100i3−i3−i3i30-1-1000000−i3i3000000i3−i300000
χ5322-22-12-2222-12-1-1-21-211-12-1-22-2-11-1-1-2-222-22-2-1-2111-1-1121-1-1112-200-11-1-1112-2002-200-112-20-1100-1-1110-1100200-2-1-10000001100000
χ5422-22-12-2222-12-1-1-21-211-12-1-22-2-11-1-1-2-222-22-2-1-2111-1-1121-1-111-2200-1111-1-12-2002-200-11-220-110011-1-10-1100-200211000000-1-100000
χ5522-22-12-2222-12-1-1-21-211-12-1-22-2-11-1-1-2-22-22-22-1-2111-1-1121-1-1112-2001-1-1-111-2200-22001-12-201-100-1-11101-100-200211000000-1-100000
χ5622-22-12-2222-12-1-1-21-211-12-1-22-2-11-1-1-2-22-22-22-1-2111-1-1121-1-111-22001-111-1-1-2200-22001-1-2201-10011-1-101-100200-2-1-10000001100000
χ5722-2-122-22-122-12-11-2-211-1-1212-22-22211-10000-11-211-1-11-1-2-1-1112-22-20022-2-2002200-2-200-11-100-1-1-1-1111001100000000002-20000-110
χ5822-2-122-22-122-12-11-2-211-1-1212-22-22211-10000-11-211-1-11-1-2-1-1112-2-220022-2-200-2-2002200-1110011-1-111-100-1-10000000000-2200001-10
χ5922-2-122-22-122-12-11-2-211-1-1212-22-22211-10000-11-211-1-11-1-2-1-111-222-200-2-222002200-2-2001-1-100-1-111-1-1100110000000000-2200001-10
χ6022-2-122-22-122-12-11-2-211-1-1212-22-22211-10000-11-211-1-11-1-2-1-111-22-2200-2-22200-2-20022001-11001111-1-1-100-1-100000000002-20000-110
χ614444-2-2444-2-2-21-24-2-2-2-2-2-214-2-2-2-211-2-2444441-21111-2-2-2111110000-2-20000-2-200-2-200-2-200011000000011000000000000000000000
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χ7444-44-2-24-44-2-2-21-2-42222-2-2142-22-2-1-1-2-2-444-4-412-1-1-112-221-1-1110000-2-20000-2-200220022000110000000-1-1000000000000000000000
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χ7644-44-2-2-444-2-2-21-2-42222-2-21-4-22-22112244-44-412-1-1-11-22-2-111-1-10000-220000-2200-2200-220001-100000001-1000000000000000000000
χ7744-44-2-2-444-2-2-21-2-42222-2-21-4-22-2211224-44-4412-1-1-11-22-2-111-1-100002-200002-2002-2002-2000-110000000-11000000000000000000000
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χ8044-4-24-24-4-2-241-2-22-4222-21-2-22-2-442211200001-12-1-112-2-1-2-1-1110000000000002i3−2i300−2i32i30000000−i3i30000000i3−i30000000000000000000
χ8144-4-24-2-44-2-241-2-22-4222-21-22-224-4-2-2-1-1-200001-12-1-11-221211-1-1004-400000000-2-200220000-200110000200-1-10000000000000000000
χ8244-4-24-2-44-2-241-2-22-4222-21-22-224-4-2-2-1-1-200001-12-1-11-221211-1-100-44000000002200-2-20000200-1-10000-200110000000000000000000
χ8344-4-2-244-4-24-2-2-2122-4-1-11-2-2-2-442-222-2-220000122-1-11-112-2-1-111000000−2i32i32i3−2i300000000000000000i3−i3−i3i3000000000000000000000000
χ8444-4-2-244-4-24-2-2-2122-4-1-11-2-2-2-442-222-2-220000122-1-11-112-2-1-1110000002i3−2i3−2i32i300000000000000000−i3i3i3−i3000000000000000000000000
χ8544-4-2-24-44-24-2-2-2122-4-1-11-2-224-4-22-2-222-20000122-1-111-1-2211-1-14-40000-2-2220000000000-220000011-1-1000000000000000000000000
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χ874-4044400-4-4-444400000-4-4-40000000000000040000-4000000000000000000000000000000000000000000000000000000000022−22000
χ884-4044400-4-4-444400000-4-4-40000000000000040000-40000000000000000000000000000000000000000000000000000000000−2222000
χ89888-4-4-488-4-4-4222-4-4-422222-4-4-4-4-42222-40000-122-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ90888-4-4-4-8-8-4-4-4222-4-4-42222244444-2-2-2-240000-122-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ9188-8-4-4-48-8-4-4-4222444-2-2222-44-44-4-2-22240000-1-2-211-1-22-2211-1-10000000000000000000000000000000000000000000000000000000
χ9288-8-4-4-4-88-4-4-4222444-2-22224-44-4422-2-2-40000-1-2-211-12-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ938-8088-400-84-8-4-4800000-84400000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ948-808-4800-8-848-4-4000004-8400000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ958-808-4-400-844-42-40000044-2000006i−6i000000020000-200006i−6i000000000000000000000000000000000000000000000000000000000
χ968-808-4-400-844-42-40000044-200000−6i6i000000020000-20000−6i6i000000000000000000000000000000000000000000000000000000000
χ978-80-488004-8-8-48-40000044-800000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ988-80-48-40044-82-4-4000004-2400000006i−6i0000020000-20000006i−6i0000000000000000000000000000000000000000000000000000000
χ998-80-48-40044-82-4-4000004-240000000−6i6i0000020000-2000000−6i6i0000000000000000000000000000000000000000000000000000000
χ1008-80-4-48004-84-4-420006-6-244000000000000002006-6-2000000000000000000000000000000000000000000000000000000000000000
χ1018-80-4-48004-84-4-42000-66-24400000000000000200-66-2000000000000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-4004442220006-6-2-2-2000006i−6i6i−6i00000-100-3310000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1038-80-4-4-4004442220006-6-2-2-200000−6i6i−6i6i00000-100-33100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1048-80-4-4-400444222000-66-2-2-2000006i−6i−6i6i00000-1003-310000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-80-4-4-400444222000-66-2-2-200000−6i6i6i−6i00000-1003-3100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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