Finite Group Databasebeta

← Group #13150646

Character table — Group #13150646

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222244666666661212121212121212121212123636363636363636363636363636363636361122222224466666666121212121212121212121212363636363636363636363636363636363636
order1223446661212336612121212366666121212121212244466881212121212122424242422264466612126666121212126666661212121212122444668812121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ511-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-11-1111-111-1-1-1-111-1-111-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-11-1111-111-1-1-1-111-1-1
χ611-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-1-1111-11-1-111-1-1-1-11111-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-1-1111-11-1-111-1-1-1-111
χ711-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-111-1-1-1-1111-1-111-1-11111-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-111-1-1-1-1111-1-111-1-111
χ811-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-11-11-1-11-1-1-1111111-1-111-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-11-11-1-11-1-1-1111111-1-1
χ9222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-12200-1-1000000-1-10000222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-12200-1-1000000-1-10000
χ10222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-1-2-20011000000110000222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-1-2-20011000000110000
χ1122222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-100000022000000-1-1-1-122222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-100000022000000-1-1-1-1
χ1222222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-1000000-2-2000000111122222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-1000000-2-20000001111
χ132222-2-2222-2-22222-2-2-2-2222222-2-2-2-2-2-20000000000000000002222-2-2222-2-22222-2-2-2-2222222-2-2-2-2-2-2000000000000000000
χ142222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000−i3i3000000−i3i300002222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000−i3i3000000−i3i30000
χ152222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000i3−i3000000i3−i300002222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000i3−i3000000i3−i30000
χ162222-2-2222-2-2-12-12-2-211-1-12-1-1-11-21111000000000000003−33−32222-2-2222-2-2-12-12-2-211-1-12-1-1-11-21111000000000000003−33−3
χ172222-2-2222-2-2-12-12-2-211-1-12-1-1-11-2111100000000000000−33−332222-2-2222-2-2-12-12-2-211-1-12-1-1-11-2111100000000000000−33−33
χ1822-222-2-2-22-22222222-2-22-2-2-2-222-2-2-22200000000000000000022-222-2-2-22-22222222-2-22-2-2-2-222-2-2-222000000000000000000
χ1922-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000−i3i3000000i3−i3000022-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000−i3i3000000i3−i30000
χ2022-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000i3−i3000000−i3i3000022-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000i3−i3000000−i3i30000
χ2122-222-2-2-22-22-12-122211-11-211-1-1-211-1-1000000000000003−3−3322-222-2-2-22-22-12-122211-11-211-1-1-211-1-1000000000000003−3−33
χ2222-222-2-2-22-22-12-122211-11-211-1-1-211-1-100000000000000−333−322-222-2-2-22-22-12-122211-11-211-1-1-211-1-100000000000000−333−3
χ2322-22-22-2-222-22-12-11122-1-2111-1-2-1-1-1112-200-1-100000011000022-22-22-2-222-22-12-11122-1-2111-1-2-1-1-1112-200-1-1000000110000
χ2422-22-22-2-222-22-12-11122-1-2111-1-2-1-1-111-220011000000-1-1000022-22-22-2-222-22-12-11122-1-2111-1-2-1-1-111-220011000000-1-10000
χ2522-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-1110000002-2000000-1-11122-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-1110000002-2000000-1-111
χ2622-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-111000000-2200000011-1-122-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-111000000-2200000011-1-1
χ2744444444444-2-2-2-2-2-2-2-21-2-2111-2-2111100000000000000000044444444444-2-2-2-2-2-2-2-21-2-2111-2-21111000000000000000000
χ284444-4-4444-4-4-2-2-2-222221-2-211122-1-1-1-10000000000000000004444-4-4444-4-4-2-2-2-222221-2-211122-1-1-1-1000000000000000000
χ2944-444-4-4-44-44-2-2-2-2-2-222122-1-11-22-1-11100000000000000000044-444-4-4-44-44-2-2-2-2-2-222122-1-11-22-1-111000000000000000000
χ3044-44-44-4-444-4-2-2-2-222-2-2122-1-112-211-1-100000000000000000044-44-44-4-444-4-2-2-2-222-2-2122-1-112-211-1-1000000000000000000
χ314-4040000-40044-4-4000040000-40000000000000000000000004-4040000-40044-4-4000040000-4000000000000000000000000
χ324-4040000-4004-2-4223−2300-200002000023−230000000000000000004-4040000-4004-2-4223−2300-200002000023−23000000000000000000
χ334-4040000-4004-2-42−232300-2000020000−23230000000000000000004-4040000-4004-2-42−232300-2000020000−2323000000000000000000
χ344-4040000-400-242-40023−23-2000020023−23000000000000000000004-4040000-400-242-40023−23-2000020023−2300000000000000000000
χ354-4040000-400-242-400−2323-20000200−2323000000000000000000004-4040000-400-242-400−2323-20000200−232300000000000000000000
χ364-4040000-400-2-22223−2323−231003-3-100−33−330000000000000000004-4040000-400-2-22223−2323−231003-3-100−33−33000000000000000000
χ374-4040000-400-2-22223−23−2323100-33-1003−3−330000000000000000004-4040000-400-2-22223−23−2323100-33-1003−3−33000000000000000000
χ384-4040000-400-2-222−232323−23100-33-100−333−30000000000000000004-4040000-400-2-222−232323−23100-33-100−333−3000000000000000000
χ394-4040000-400-2-222−2323−23231003-3-1003−33−30000000000000000004-4040000-400-2-222−2323−23231003-3-1003−33−3000000000000000000
χ40666-366-3-3-3-3-30000000000000000000000220000-1-1-1-1000000666-366-3-3-3-3-30000000000000000000000220000-1-1-1-1000000
χ41666-366-3-3-3-3-30000000000000000000000-2-200001111000000666-366-3-3-3-3-30000000000000000000000-2-200001111000000
χ42666-3-6-6-3-3-3330000000000000000000000000000−i3i3−i3i3000000666-3-6-6-3-3-3330000000000000000000000000000−i3i3−i3i3000000
χ43666-3-6-6-3-3-3330000000000000000000000000000i3−i3i3−i3000000666-3-6-6-3-3-3330000000000000000000000000000i3−i3i3−i3000000
χ4466-6-36-633-33-30000000000000000000000000000−i3i3i3−i300000066-6-36-633-33-30000000000000000000000000000−i3i3i3−i3000000
χ4566-6-36-633-33-30000000000000000000000000000i3−i3−i3i300000066-6-36-633-33-30000000000000000000000000000i3−i3−i3i3000000
χ4666-6-3-6633-3-3300000000000000000000002-20000-1-11100000066-6-3-6633-3-3300000000000000000000002-20000-1-111000000
χ4766-6-3-6633-3-330000000000000000000000-22000011-1-100000066-6-3-6633-3-330000000000000000000000-22000011-1-1000000
χ4812-120-600−6i36i36000000000000000000000000000000000000000012-120-600−6i36i360000000000000000000000000000000000000000
χ4912-120-6006i3−6i36000000000000000000000000000000000000000012-120-6006i3−6i360000000000000000000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111
χ521111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111
χ531111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ5411-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-11-1111-111-1-1-1-111-1-1-1-11-11-111-1-11-1-1-1-111-1-1-11111-11-1-1-111-11-11-1-1-11-1-11111-1-111
χ5511-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-11-1-1111-11-1-111-1-1-1-111-1-11-11-111-1-11-1-1-1-111-1-1-11111-11-1-1-111-111-1-1-11-111-1-11111-1-1
χ5611-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-111-1-1-1-1111-1-111-1-111-1-11-11-111-1-11-1-1-1-111-1-1-11111-11-1-1-1111-1-11111-1-1-111-1-111-1-1
χ5711-11-11-1-111-11111-1-1111-1-1-1-11-1111-1-1-11-11-1-11-1-1-1111111-1-1-1-11-11-111-1-11-1-1-1-111-1-1-11111-11-1-1-1111-11-111-1111-1-1-1-1-1-111
χ58222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-12200-1-1000000-1-10000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-21-21111-211111-2-20011000000110000
χ59222222222222-12-1-1-122-12-1-1-1-12-1-1-1-1-1-2-20011000000110000-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-21-21111-2111112200-1-1000000-1-10000
χ6022222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-100000022000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-21-2-2-21111-21111-21111000000-2-20000001111
χ6122222222222-12-1222-1-1-1-12-1-1-1-12-1-1-1-1000000-2-20000001111-2-2-2-2-2-2-2-2-2-2-21-21-2-2-21111-21111-2111100000022000000-1-1-1-1
χ622222-2-2222-2-22222-2-2-2-2222222-2-2-2-2-2-2000000000000000000-2-2-2-222-2-2-222-2-2-2-22222-2-2-2-2-2-2222222000000000000000000
χ632222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000−i3i3000000−i3i30000-2-2-2-222-2-2-222-21-21-1-1221-211112-1-1-1-1-10000i3−i3000000i3−i30000
χ642222-2-2222-2-22-12-111-2-2-12-1-1-1-1-2111110000i3−i3000000i3−i30000-2-2-2-222-2-2-222-21-21-1-1221-211112-1-1-1-1-10000−i3i3000000−i3i30000
χ652222-2-2222-2-2-12-12-2-211-1-12-1-1-11-21111000000000000003−33−3-2-2-2-222-2-2-2221-21-222-1-111-2111-12-1-1-1-100000000000000−33−33
χ662222-2-2222-2-2-12-12-2-211-1-12-1-1-11-2111100000000000000−33−33-2-2-2-222-2-2-2221-21-222-1-111-2111-12-1-1-1-1000000000000003−33−3
χ6722-222-2-2-22-22222222-2-22-2-2-2-222-2-2-222000000000000000000-2-22-2-2222-22-2-2-2-2-2-2-222-22222-2-2222-2-2000000000000000000
χ6822-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000−i3i3000000i3−i30000-2-22-2-2222-22-2-21-21112212-1-1-11-2-1-1-1110000i3−i3000000−i3i30000
χ6922-222-2-2-22-222-12-1-1-1-2-2-1-2111-12111-1-10000i3−i3000000−i3i30000-2-22-2-2222-22-2-21-21112212-1-1-11-2-1-1-1110000−i3i3000000i3−i30000
χ7022-222-2-2-22-22-12-122211-11-211-1-1-211-1-1000000000000003−3−33-2-22-2-2222-22-21-21-2-2-2-1-11-12-1-1112-1-11100000000000000−333−3
χ7122-222-2-2-22-22-12-122211-11-211-1-1-211-1-100000000000000−333−3-2-22-2-2222-22-21-21-2-2-2-1-11-12-1-1112-1-111000000000000003−3−33
χ7222-22-22-2-222-22-12-11122-1-2111-1-2-1-1-1112-200-1-1000000110000-2-22-22-222-2-22-21-21-1-1-2-212-1-1-112111-1-1-220011000000-1-10000
χ7322-22-22-2-222-22-12-11122-1-2111-1-2-1-1-111-220011000000-1-10000-2-22-22-222-2-22-21-21-1-1-2-212-1-1-112111-1-12-200-1-1000000110000
χ7422-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-1110000002-2000000-1-111-2-22-22-222-2-221-21-222111-12-1-11-1-211-1-1000000-2200000011-1-1
χ7522-22-22-2-222-2-12-12-2-2-1-1-11-211-112-1-111000000-2200000011-1-1-2-22-22-222-2-221-21-222111-12-1-11-1-211-1-10000002-2000000-1-111
χ7644444444444-2-2-2-2-2-2-2-21-2-2111-2-21111000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-122-1-1-122-1-1-1-1000000000000000000
χ774444-4-4444-4-4-2-2-2-222221-2-211122-1-1-1-1000000000000000000-4-4-4-444-4-4-4442222-2-2-2-2-122-1-1-1-2-21111000000000000000000
χ7844-444-4-4-44-44-2-2-2-2-2-222122-1-11-22-1-111000000000000000000-4-44-4-4444-44-4222222-2-2-1-2-211-12-211-1-1000000000000000000
χ7944-44-44-4-444-4-2-2-2-222-2-2122-1-112-211-1-1000000000000000000-4-44-44-444-4-442222-2-222-1-2-211-1-22-1-111000000000000000000
χ804-4040000-40044-4-4000040000-4000000000000000000000000-440-40000400-4-4440000-400004000000000000000000000000
χ814-4040000-4004-2-4223−2300-200002000023−23000000000000000000-440-40000400-424-2−23230020000-20000−2323000000000000000000
χ824-4040000-4004-2-42−232300-2000020000−2323000000000000000000-440-40000400-424-223−230020000-2000023−23000000000000000000
χ834-4040000-400-242-40023−23-2000020023−2300000000000000000000-440-400004002-4-2400−232320000-200−232300000000000000000000
χ844-4040000-400-242-400−2323-20000200−232300000000000000000000-440-400004002-4-240023−2320000-20023−2300000000000000000000
χ854-4040000-400-2-22223−2323−231003-3-100−33−33000000000000000000-440-4000040022-2-2−2323−2323-100-331003−33−3000000000000000000
χ864-4040000-400-2-22223−23−2323100-33-1003−3−33000000000000000000-440-4000040022-2-2−232323−23-1003-3100−333−3000000000000000000
χ874-4040000-400-2-222−232323−23100-33-100−333−3000000000000000000-440-4000040022-2-223−23−2323-1003-31003−3−33000000000000000000
χ884-4040000-400-2-222−2323−23231003-3-1003−33−3000000000000000000-440-4000040022-2-223−2323−23-100-33100−33−33000000000000000000
χ89666-366-3-3-3-3-30000000000000000000000220000-1-1-1-1000000-6-6-63-6-6333330000000000000000000000-2-200001111000000
χ90666-366-3-3-3-3-30000000000000000000000-2-200001111000000-6-6-63-6-6333330000000000000000000000220000-1-1-1-1000000
χ91666-3-6-6-3-3-3330000000000000000000000000000−i3i3−i3i3000000-6-6-6366333-3-30000000000000000000000000000i3−i3i3−i3000000
χ92666-3-6-6-3-3-3330000000000000000000000000000i3−i3i3−i3000000-6-6-6366333-3-30000000000000000000000000000−i3i3−i3i3000000
χ9366-6-36-633-33-30000000000000000000000000000−i3i3i3−i3000000-6-663-66-3-33-330000000000000000000000000000i3−i3−i3i3000000
χ9466-6-36-633-33-30000000000000000000000000000i3−i3−i3i3000000-6-663-66-3-33-330000000000000000000000000000−i3i3i3−i3000000
χ9566-6-3-6633-3-3300000000000000000000002-20000-1-111000000-6-6636-6-3-333-30000000000000000000000-22000011-1-1000000
χ9666-6-3-6633-3-330000000000000000000000-22000011-1-1000000-6-6636-6-3-333-300000000000000000000002-20000-1-111000000
χ9712-120-600−6i36i360000000000000000000000000000000000000000-121206006i3−6i3-60000000000000000000000000000000000000000
χ9812-120-6006i3−6i360000000000000000000000000000000000000000-12120600−6i36i3-60000000000000000000000000000000000000000

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