Finite Group Databasebeta

← Group #13170596

Character table — Group #13170596

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11222222222444444444444444444444666688888888888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363654547272108
order12233344666333666666661212121212121212121222443666661212121212121212244466666612121212121212121212666661212121212121212121212244466881212121212128824248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-11111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-11111111111-1-1-111-1-1-11111-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1111-1-111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111-1-1-1-11-1-1111-1-111-1-1-1-111-1-11
χ711111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-1111111-1-11
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
χ911-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-11-11-11-1111-11-111-1-11-1-1-111-111-11-11-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1
χ1011-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-11-1-111-1111-11-1-1-1111-1-1-111-111-1-111-1-1-1-1-111-11-11-1-1-111111-1-1-1-1-111
χ1111-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-1-111-11-1-1-11-11-111-1-11-111-11-1-1-111-11-11111-1-11-11-111-11-1-1-1-111-1-1-111
χ1211-1111-11111111-1-1-1-1-1111-11-11-111-1-111-11-11-1-1-1-111-11-111-1-1-11-111-1-1-11-11-1-1-1111-111-11-1-1-11-111-111-1-111-1-111-1-11-111-1-111111-1-1
χ1311-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-11-11-1-1111-11-1111-1-1-11-1-11-1111-11-1-11-1-111-1-1-1-111-1-11-111-1-111-1-11-11
χ1411-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-11-1-11-1111-11-11-1-111-11-1-11-1111-1-11-11-1-1-1-1111-11-111-11-1-1-1-11111-11-1
χ1511-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-1-111-1-11-1-1-11-1111-1-1-1111-1-11-1-111-1-111111-1-1-11-11-1-1-111111-1-111-11-1
χ1611-1111-11111111-1-1-1-1-1111-11-11-111-1-11-11-111-1-1-1-111-11-111-1-1-11-11-11-1-1-11-11-1-111-1111-1-11-1-11-11-1111-1-11111-1-1111-1-1-111-1-1-1-11-11
χ17222222-2-222222222222222-2-2-2-2-2-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-200002-2002-2-220000-220002-200000-220000000000000000000000000
χ18222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-222-2222222-2-2-2-2-2-2-2-20000-2200-222-200002-2000-22000002-20000000000000000000000000
χ1922222-1222-12-12-122-1-1-12-1-12-1-122-1-12222222-12-1-1-1-12-1-1-1-1-1-1-100222200-1-1-1-1-1-1-1-122000-1-100022-1-100-1-1-1-12002-1-100-1-1000000000
χ2022222-1222-12-12-122-1-1-12-1-12-1-122-1-12222222-12-1-1-1-12-1-1-1-1-1-1-100-2-22200-1-1-1-1111122000-1-1000-2-2-1-1001111-200-2110011000000000
χ2122222-1222-12-12-122-1-1-12-1-12-1-122-1-1222-2-2-2-2-12-1-1-1-12-1-1-1-1-1-1-10022-2-2001111-1-1-1-1-2-200011000221100-1-1-1-1-200-2110011000000000
χ2222222-1222-12-12-122-1-1-12-1-12-1-122-1-1222-2-2-2-2-12-1-1-1-12-1-1-1-1-1-1-100-2-2-2-20011111111-2-200011000-2-2110011112002-1-100-1-1000000000
χ2322222-1-2-22-12-12-122-1-1-12-1-1-211-2-211-2-2-22-2-22-12-1-1-1-1-2111111100002-200-111-1−i3i3−i3i3-22000-11000001-100−i3i3−i3i30000−i3i300−i3i3000000000
χ2422222-1-2-22-12-12-122-1-1-12-1-1-211-2-211-2-2-22-2-22-12-1-1-1-1-2111111100002-200-111-1i3−i3i3−i3-22000-11000001-100i3−i3i3−i30000i3−i300i3−i3000000000
χ2522222-1-2-22-12-12-122-1-1-12-1-1-211-2-211-2-2-2-222-2-12-1-1-1-1-211111110000-22001-1-11−i3i3−i3i32-20001-100000-1100−i3i3−i3i30000i3−i300i3−i3000000000
χ2622222-1-2-22-12-12-122-1-1-12-1-1-211-2-211-2-2-2-222-2-12-1-1-1-1-211111110000-22001-1-11i3−i3i3−i32-20001-100000-1100i3−i3i3−i30000−i3i300−i3i3000000000
χ272222-122222-12-1-12-1222-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-122220000-1-1-1-12-1-1-1-1200-1-1-1-100000220000000-1-1-1-100000
χ282222-122222-12-1-12-1222-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-1-11122220000-1-111-2-1-111-200-1-11100000-2-20000000111100000
χ292222-122222-12-1-12-1222-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1220011-1-1-2-2-2-2000011-1-1211-1-120011-1-100000-2-20000000111100000
χ302222-122222-12-1-12-1222-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111-2-2-2-200001111-21111-200111100000220000000-1-1-1-100000
χ312222-12-2-222-12-1-12-1222-1-12-2-2-2111111-22-2-22-1-1-1-1-1-111-2-211110000-11−i3i32-2-2200001-1−i3i30-11−i3i30001-1−i3i300000000000000−i3i3−i3i300000
χ322222-12-2-222-12-1-12-1222-1-12-2-2-2111111-22-2-22-1-1-1-1-1-111-2-211110000-11i3−i32-2-2200001-1i3−i30-11i3−i30001-1i3−i300000000000000i3−i3i3−i300000
χ332222-12-2-222-12-1-12-1222-1-12-2-2-2111111-2-222-2-1-1-1-1-1-111-2-2111100001-1−i3i3-222-20000-11−i3i301-1−i3i3000-11−i3i300000000000000i3−i3i3−i300000
χ342222-12-2-222-12-1-12-1222-1-12-2-2-2111111-2-222-2-1-1-1-1-1-111-2-2111100001-1i3−i3-222-20000-11i3−i301-1i3−i3000-11i3−i300000000000000−i3i3−i3i300000
χ35222-12222-122-1-12-122-1-1-12-1-1222222-1-1-10000-1-12-1-1-1-12-1-1-1-1-1-122220022000022220022-100-1-1-1-1-100-1-1-1-1-1-10000002200000000-1-10
χ36222-12222-122-1-12-122-1-1-12-1-1222222-1-1-10000-1-12-1-1-1-12-1-1-1-1-1-122-2-200220000-2-2-2-20022-100-1-1-11100-1-11111000000-2-200000000110
χ37222-12222-122-1-12-122-1-1-12-1-1222222-1-1-10000-1-12-1-1-1-12-1-1-1-1-1-1-2-22200-2-20000222200-2-2100111-1-10011-1-1-1-1000000-2-200000000110
χ38222-12222-122-1-12-122-1-1-12-1-1222222-1-1-10000-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-200-2-20000-2-2-2-200-2-210011111001111110000002200000000-1-10
χ3922-22222-2222222-2-2-2-2-22222-22-22-2-222-222-2-22-2-2-2-22-22-22-2-2220000220022-2-20000-2-20002200000-2-20000000000000000000000000
χ4022-22222-2222222-2-2-2-2-22222-22-22-2-222-2-2-2222-2-2-2-22-22-22-2-2220000-2-200-2-222000022000-2-200000220000000000000000000000000
χ4122-222-12-22-12-12-1-2-21112-1-121-1-221122-222-2-2-1-2111-1-2-11-111-1-100002200-1-111−i3i3i3−i3-2-2000-1-1000001100−i3i3i3−i30000−i3i300i3−i3000000000
χ4222-222-12-22-12-12-1-2-21112-1-121-1-221122-222-2-2-1-2111-1-2-11-111-1-100002200-1-111i3−i3−i3i3-2-2000-1-1000001100i3−i3−i3i30000i3−i300−i3i3000000000
χ4322-222-12-22-12-12-1-2-21112-1-121-1-221122-2-2-222-1-2111-1-2-11-111-1-10000-2-20011-1-1−i3i3i3−i3220001100000-1-100−i3i3i3−i30000i3−i300−i3i3000000000
χ4422-222-12-22-12-12-1-2-21112-1-121-1-221122-2-2-222-1-2111-1-2-11-111-1-10000-2-20011-1-1i3−i3−i3i3220001100000-1-100i3−i3−i3i30000−i3i300i3−i3000000000
χ4522-222-1-222-12-12-1-2-21112-1-1-2-112-2-1-1-2-222-22-2-1-2111-121-11-1-111002-22-200-11-11-1-1112-2000-110002-2-1100-1-111200-2-1-10011000000000
χ4622-222-1-222-12-12-1-2-21112-1-1-2-112-2-1-1-2-222-22-2-1-2111-121-11-1-11100-222-200-11-1111-1-12-2000-11000-22-110011-1-1-20021100-1-1000000000
χ4722-222-1-222-12-12-1-2-21112-1-1-2-112-2-1-1-2-22-22-22-1-2111-121-11-1-111002-2-22001-11-1-1-111-220001-10002-21-100-1-111-20021100-1-1000000000
χ4822-222-1-222-12-12-1-2-21112-1-1-2-112-2-1-1-2-22-22-22-1-2111-121-11-1-11100-22-22001-11-111-1-1-220001-1000-221-10011-1-1200-2-1-10011000000000
χ4922-22-122-222-12-1-1-21-2-2-2-1-122-221-111-1-1-222-2-2-11111-11-1-2211-1-10000-1-1−i3i322-2-2000011i3−i30-1-1−i3i300011i3−i300000000000000−i3i3i3−i300000
χ5022-22-122-222-12-1-1-21-2-2-2-1-122-221-111-1-1-222-2-2-11111-11-1-2211-1-10000-1-1i3−i322-2-2000011−i3i30-1-1i3−i300011−i3i300000000000000i3−i3−i3i300000
χ5122-22-122-222-12-1-1-21-2-2-2-1-122-221-111-1-1-2-2-222-11111-11-1-2211-1-1000011−i3i3-2-2220000-1-1i3−i3011−i3i3000-1-1i3−i300000000000000i3−i3−i3i300000
χ5222-22-122-222-12-1-1-21-2-2-2-1-122-221-111-1-1-2-2-222-11111-11-1-2211-1-1000011i3−i3-2-2220000-1-1−i3i3011i3−i3000-1-1−i3i300000000000000−i3i3i3−i300000
χ5322-22-12-2222-12-1-1-21-2-2-2-1-12-22-2-11-1-11122-22-2-11111-1-112-2-1-1112-200-11-1-12-22-20000-11112-11-1-1-200-1111000002-20000000-1-11100000
χ5422-22-12-2222-12-1-1-21-2-2-2-1-12-22-2-11-1-11122-22-2-11111-1-112-2-1-111-2200-11112-22-20000-11-1-1-2-1111200-11-1-100000-22000000011-1-100000
χ5522-22-12-2222-12-1-1-21-2-2-2-1-12-22-2-11-1-1112-22-22-11111-1-112-2-1-1112-2001-1-1-1-22-2200001-11121-1-1-1-2001-11100000-22000000011-1-100000
χ5622-22-12-2222-12-1-1-21-2-2-2-1-12-22-2-11-1-1112-22-22-11111-1-112-2-1-111-22001-111-22-2200001-1-1-1-21-1112001-1-1-1000002-20000000-1-11100000
χ5722-2-122-22-122-1-121-2-211-12-112-22-22211-10000-11-211-1-1-2-11-1-1112-22-20022000022-2-200-2-2-100-1-11-110011-1-1110000002-200000000-110
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χ5922-2-122-22-122-1-121-2-211-12-112-22-22211-10000-11-211-1-1-2-11-1-111-222-200-2-2000022-2-2002210011-1-1100-1-1-1-111000000-22000000001-10
χ6022-2-122-22-122-1-121-2-211-12-112-22-22211-10000-11-211-1-1-2-11-1-111-22-2200-2-20000-2-222002210011-11-100-1-111-1-10000002-200000000-110
χ614444-2-2444-2-2-2-214-2-2-2-2-21-24-2-2-2-211-2-2444441-21111-21-2-211110000-2-200-2-2-2-20000-2-20001100000110000000000000000000000000
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χ8044-4-24-24-4-2-241-2-22-42-1-1-2-21-22-2-4422-2-220000122-1-112-2-11-1-1110000000000002i3−2i3−2i32i30000000000000000−i3i3i3−i30000000000000000000
χ8144-4-24-2-44-2-241-2-22-42-1-1-2-212-224-4-2-222-20000122-1-11-221-111-1-1004-400000000-2-2220000000000-22000011-1-10000000000000000000
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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
χ938-8088-400-84-8-48-400000-84400000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ948-808-4800-8-848-4-40000044-800000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ958-808-4-400-844-4-42000004-24000006i−6i000000020000-200006i−6i000000000000000000000000000000000000000000000000000000000
χ968-808-4-400-844-4-42000004-2400000−6i6i000000020000-20000−6i6i000000000000000000000000000000000000000000000000000000000
χ978-80-488004-8-8-4-48000004-8400000000000000-400004000000000000000000000000000000000000000000000000000000000000000
χ988-80-48-40044-82-4-40006-644-2000000000000002006-6-2000000000000000000000000000000000000000000000000000000000000000
χ998-80-48-40044-82-4-4000-6644-200000000000000200-66-2000000000000000000000000000000000000000000000000000000000000000
χ1008-80-4-48004-84-42-400000-24400000006i−6i0000020000-20000006i−6i0000000000000000000000000000000000000000000000000000000
χ1018-80-4-48004-84-42-400000-2440000000−6i6i0000020000-2000000−6i6i0000000000000000000000000000000000000000000000000000000
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).