Finite Group Databasebeta

← Group #13150592

Character table — Group #13150592

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222244666666661212121212121212121212123636363636363636363636363636363636361122222224466666666121212121212121212121212363636363636363636363636363636363636
order1223446121261233666612123666612121212121212244466881212121212122424242422264461212612666666121266666121212121212122444668812121212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
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
χ511-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-11-1111-1-1-111-1-111-1-111-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-11-1111-1-1-111-1-111-1-1
χ611-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-1-1111-11-1-1-1-111-1-11111-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-1-1111-11-1-1-1-111-1-111
χ711-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-111-1-1-1-111111-1-1-1-11111-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-111-1-1-1-111111-1-1-1-111
χ811-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-11-11-1-11-111-1-11111-1-111-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-11-11-1-11-111-1-11111-1-1
χ9222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-100-1-100000000222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-100-1-100000000
χ10222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-1-2-20011001100000000222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-1-2-20011001100000000
χ1122222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-10022000000-1-1-1-1000022222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-10022000000-1-1-1-10000
χ1222222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000001111000022222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-100-2-200000011110000
χ132222-2-22-2-22-2222222-2-222222-2-2-2-2-2-2-20000000000000000002222-2-22-2-22-2222222-2-222222-2-2-2-2-2-2-2000000000000000000
χ142222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000−i3i300−i3i3000000002222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000−i3i300−i3i300000000
χ152222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000i3−i300i3−i3000000002222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000i3−i300i3−i300000000
χ162222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000−i3i3−i3i300002222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000−i3i3−i3i30000
χ172222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000i3−i3i3−i300002222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000i3−i3i3−i30000
χ1822-222-22-2-2-2222-2-222222-2-2-22-2-22-2-22200000000000000000022-222-22-2-2-2222-2-222222-2-2-22-2-22-2-222000000000000000000
χ1922-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000−i3i300i3−i30000000022-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000−i3i300i3−i300000000
χ2022-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000i3−i300−i3i30000000022-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000i3−i300−i3i300000000
χ2122-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000−i3i3i3−i3000022-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000−i3i3i3−i30000
χ2222-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000i3−i3−i3i3000022-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000i3−i3−i3i30000
χ2322-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-1112-200-1-100110000000022-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-1112-200-1-1001100000000
χ2422-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-111-22001100-1-10000000022-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-111-22001100-1-100000000
χ2522-22-22222-2-2-12112-1-2-2-1-211-12-11-1-111002-2000000-1-111000022-22-22222-2-2-12112-1-2-2-1-211-12-11-1-111002-2000000-1-1110000
χ2622-22-22222-2-2-12112-1-2-2-1-211-12-11-1-11100-2200000011-1-1000022-22-22222-2-2-12112-1-2-2-1-211-12-11-1-11100-2200000011-1-10000
χ2744444444444-2-2-2-2-2-2-2-21-2111-2-2-2111100000000000000000044444444444-2-2-2-2-2-2-2-21-2111-2-2-21111000000000000000000
χ284444-4-44-4-44-4-2-2-2-2-2-2221-2111222-1-1-1-10000000000000000004444-4-44-4-44-4-2-2-2-2-2-2221-2111222-1-1-1-1000000000000000000
χ2944-444-44-4-4-44-2-222-2-2-2-212-1-1122-2-1-11100000000000000000044-444-44-4-4-44-2-222-2-2-2-212-1-1122-2-1-111000000000000000000
χ3044-44-44444-4-4-2-222-2-22212-1-11-2-2211-1-100000000000000000044-44-44444-4-4-2-222-2-22212-1-11-2-2211-1-1000000000000000000
χ314-40400-400004400-4-4004000-400000000000000000000000004-40400-400004400-4-4004000-40000000000000000000000000
χ324-40400-400004-2002-423−23-200020000023−230000000000000000004-40400-400004-2002-423−23-200020000023−23000000000000000000
χ334-40400-400004-2002-4−2323-2000200000−23230000000000000000004-40400-400004-2002-4−2323-2000200000−2323000000000000000000
χ344-40400-40000-24−2i32i3-4200-20−2i32i3200000000000000000000000004-40400-40000-24−2i32i3-4200-20−2i32i320000000000000000000000000
χ354-40400-40000-242i3−2i3-4200-202i3−2i3200000000000000000000000004-40400-40000-242i3−2i3-4200-202i3−2i320000000000000000000000000
χ364-40400-40000-2-2−2i32i32223−2310i3−i3-10003i−3i−330000000000000000004-40400-40000-2-2−2i32i32223−2310i3−i3-10003i−3i−33000000000000000000
χ374-40400-40000-2-2−2i32i322−232310i3−i3-1000−3i3i3−30000000000000000004-40400-40000-2-2−2i32i322−232310i3−i3-1000−3i3i3−3000000000000000000
χ384-40400-40000-2-22i3−2i32223−2310−i3i3-1000−3i3i−330000000000000000004-40400-40000-2-22i3−2i32223−2310−i3i3-1000−3i3i−33000000000000000000
χ394-40400-40000-2-22i3−2i322−232310−i3i3-10003i−3i3−30000000000000000004-40400-40000-2-22i3−2i322−232310−i3i3-10003i−3i3−3000000000000000000
χ40666-366-3-3-3-3-30000000000000000000000000022000000-1-1-1-1666-366-3-3-3-3-30000000000000000000000000022000000-1-1-1-1
χ41666-366-3-3-3-3-300000000000000000000000000-2-20000001111666-366-3-3-3-3-300000000000000000000000000-2-20000001111
χ42666-3-6-6-333-3300000000000000000000000000000000003−33−3666-3-6-6-333-3300000000000000000000000000000000003−33−3
χ43666-3-6-6-333-330000000000000000000000000000000000−33−33666-3-6-6-333-330000000000000000000000000000000000−33−33
χ4466-6-36-6-3333-300000000000000000000000000000000003−3−3366-6-36-6-3333-300000000000000000000000000000000003−3−33
χ4566-6-36-6-3333-30000000000000000000000000000000000−333−366-6-36-6-3333-30000000000000000000000000000000000−333−3
χ4666-6-3-66-3-3-333000000000000000000000000002-2000000-1-11166-6-3-66-3-3-333000000000000000000000000002-2000000-1-111
χ4766-6-3-66-3-3-33300000000000000000000000000-2200000011-1-166-6-3-66-3-3-33300000000000000000000000000-2200000011-1-1
χ4812-120-600663−63000000000000000000000000000000000000000012-120-600663−630000000000000000000000000000000000000000
χ4912-120-6006−6363000000000000000000000000000000000000000012-120-6006−63630000000000000000000000000000000000000000
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
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ521111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
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
χ5411-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-11-1111-1-1-111-1-111-1-1-1-11-11-1-1-1-111-1-111-1-111-1111-1-1-11-1-111-11-11-1-1-1111-1-111-1-111
χ5511-11-11111-1-111-1-111-1-11-1-1-1111-111-1-11-1-1111-11-1-1-1-111-1-111-1-11-11-1-1-1-111-1-111-1-111-1111-1-1-11-1-111-111-1-1-11-11111-1-111-1-1
χ5611-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-111-1-1-1-111111-1-1-1-111-1-11-11-1-1-1-111-1-111-1-111-1111-1-1-11-1-1111-1-11111-1-1-1-1-11111-1-1
χ5711-11-11111-1-111-1-111-1-11-1-1-1111-111-1-1-11-11-1-11-111-1-11111-1-1-1-11-11-1-1-1-111-1-111-1-111-1111-1-1-11-1-1111-11-111-11-1-111-1-1-1-111
χ58222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-100-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21-2-21-211111111-2-21111-2-20011001100000000
χ59222222222222-122-12-1-1-1-1-1-1-1-122-1-1-1-1-2-20011001100000000-2-2-2-2-2-2-2-2-2-2-2-21-2-21-211111111-2-211112200-1-100-1-100000000
χ6022222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-10022000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-21-211-21-2-21-2111-211111100-2-200000011110000
χ6122222222222-12-1-12-122-12-1-1-12-1-1-1-1-1-100-2-200000011110000-2-2-2-2-2-2-2-2-2-2-21-211-21-2-21-2111-21111110022000000-1-1-1-10000
χ622222-2-22-2-22-2222222-2-222222-2-2-2-2-2-2-2000000000000000000-2-2-2-222-222-22-2-2-2-2-2-222-2-2-2-2-22222222000000000000000000
χ632222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000−i3i300−i3i300000000-2-2-2-222-222-22-21-2-21-2-1-111111-122-1-1-1-10000i3−i300i3−i300000000
χ642222-2-22-2-22-22-122-1211-1-1-1-1-11-2-211110000i3−i300i3−i300000000-2-2-2-222-222-22-21-2-21-2-1-111111-122-1-1-1-10000−i3i300−i3i300000000
χ652222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000−i3i3−i3i30000-2-2-2-222-222-221-211-21221-21112-1-1-1-1-1-10000000000i3−i3i3−i30000
χ662222-2-22-2-22-2-12-1-12-1-2-2-12-1-1-1-21111110000000000i3−i3i3−i30000-2-2-2-222-222-221-211-21221-21112-1-1-1-1-1-10000000000−i3i3−i3i30000
χ6722-222-22-2-2-2222-2-222222-2-2-22-2-22-2-222000000000000000000-2-22-2-22-2222-2-2-222-2-2-2-2-2222-222-222-2-2000000000000000000
χ6822-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000−i3i300i3−i300000000-2-22-2-22-2222-2-21221-2111-1-1-11-12-2-1-1110000i3−i300−i3i300000000
χ6922-222-22-2-2-222-1-2-2-12-1-1-1111-11-2211-1-10000i3−i300−i3i300000000-2-22-2-22-2222-2-21221-2111-1-1-11-12-2-1-1110000−i3i300i3−i300000000
χ7022-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000−i3i3i3−i30000-2-22-2-22-2222-21-2-1-1-21-2-212-1-112-11-1-1110000000000i3−i3−i3i30000
χ7122-222-22-2-2-22-12112-122-1-211-1-21-111-1-10000000000i3−i3−i3i30000-2-22-2-22-2222-21-2-1-1-21-2-212-1-112-11-1-1110000000000−i3i3i3−i30000
χ7222-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-1112-200-1-1001100000000-2-22-22-2-2-2-222-21221-2-1-11-1-1-111-2211-1-1-22001100-1-100000000
χ7322-22-22222-2-22-1-2-2-1211-1111-1-12-2-1-111-22001100-1-100000000-2-22-22-2-2-2-222-21221-2-1-11-1-1-111-2211-1-12-200-1-1001100000000
χ7422-22-22222-2-2-12112-1-2-2-1-211-12-11-1-111002-2000000-1-1110000-2-22-22-2-2-2-2221-2-1-1-212212-1-11-21-111-1-100-2200000011-1-10000
χ7522-22-22222-2-2-12112-1-2-2-1-211-12-11-1-11100-2200000011-1-10000-2-22-22-2-2-2-2221-2-1-1-212212-1-11-21-111-1-1002-2000000-1-1110000
χ7644444444444-2-2-2-2-2-2-2-21-2111-2-2-21111000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-12-1-1-1222-1-1-1-1000000000000000000
χ774444-4-44-4-44-4-2-2-2-2-2-2221-2111222-1-1-1-1000000000000000000-4-4-4-444-444-44222222-2-2-12-1-1-1-2-2-21111000000000000000000
χ7844-444-44-4-4-44-2-222-2-2-2-212-1-1122-2-1-111000000000000000000-4-44-4-44-4444-422-2-22222-1-211-1-2-2211-1-1000000000000000000
χ7944-44-44444-4-4-2-222-2-22212-1-11-2-2211-1-1000000000000000000-4-44-44-4-4-4-44422-2-222-2-2-1-211-122-2-1-111000000000000000000
χ804-40400-400004400-4-4004000-40000000000000000000000000-440-40040000-4-4004400-400040000000000000000000000000
χ814-40400-400004-2002-423−23-200020000023−23000000000000000000-440-40040000-4200-24−23232000-200000−2323000000000000000000
χ824-40400-400004-2002-4−2323-2000200000−2323000000000000000000-440-40040000-4200-2423−232000-20000023−23000000000000000000
χ834-40400-40000-24−2i32i3-4200-20−2i32i320000000000000000000000000-440-400400002-42i3−2i34-200202i3−2i3-20000000000000000000000000
χ844-40400-40000-242i3−2i3-4200-202i3−2i320000000000000000000000000-440-400400002-4−2i32i34-20020−2i32i3-20000000000000000000000000
χ854-40400-40000-2-2−2i32i32223−2310i3−i3-10003i−3i−33000000000000000000-440-40040000222i3−2i3-2-2−2323-10−i3i31000−3i3i3−3000000000000000000
χ864-40400-40000-2-2−2i32i322−232310i3−i3-1000−3i3i3−3000000000000000000-440-40040000222i3−2i3-2-223−23-10−i3i310003i−3i−33000000000000000000
χ874-40400-40000-2-22i3−2i32223−2310−i3i3-1000−3i3i−33000000000000000000-440-4004000022−2i32i3-2-2−2323-10i3−i310003i−3i3−3000000000000000000
χ884-40400-40000-2-22i3−2i322−232310−i3i3-10003i−3i3−3000000000000000000-440-4004000022−2i32i3-2-223−23-10i3−i31000−3i3i−33000000000000000000
χ89666-366-3-3-3-3-30000000000000000000000000022000000-1-1-1-1-6-6-63-6-63333300000000000000000000000000-2-20000001111
χ90666-366-3-3-3-3-300000000000000000000000000-2-20000001111-6-6-63-6-6333330000000000000000000000000022000000-1-1-1-1
χ91666-3-6-6-333-3300000000000000000000000000000000003−33−3-6-6-63663-3-33-30000000000000000000000000000000000−33−33
χ92666-3-6-6-333-330000000000000000000000000000000000−33−33-6-6-63663-3-33-300000000000000000000000000000000003−33−3
χ9366-6-36-6-3333-300000000000000000000000000000000003−3−33-6-663-663-3-3-330000000000000000000000000000000000−333−3
χ9466-6-36-6-3333-30000000000000000000000000000000000−333−3-6-663-663-3-3-3300000000000000000000000000000000003−3−33
χ9566-6-3-66-3-3-333000000000000000000000000002-2000000-1-111-6-6636-6333-3-300000000000000000000000000-2200000011-1-1
χ9666-6-3-66-3-3-33300000000000000000000000000-2200000011-1-1-6-6636-6333-3-3000000000000000000000000002-2000000-1-111
χ9712-120-600663−630000000000000000000000000000000000000000-12120600-6−63630000000000000000000000000000000000000000
χ9812-120-6006−63630000000000000000000000000000000000000000-12120600-663−630000000000000000000000000000000000000000

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