Finite Group Databasebeta

← Group #13150647

Character table — Group #13150647

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222244666666661212121212121212121212123636363636363636363636363636363636361122222224466666666121212121212121212121212363636363636363636363636363636363636
order12234461212612336666121236666121212121212122224666666881212242424242226446121261266666612126666612121212121212222466666688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ511-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-11-11111-1-11-1-1-111-1-111-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-11-11111-1-11-1-1-111-1-1
χ611-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-1-11-1-111-1-1-1111-1-11111-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-1-11-1-111-1-1-1111-1-111
χ711-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-111-111-1-111-11-1-1-1-11111-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-111-111-1-111-11-1-1-1-111
χ811-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-11-11-1-1-1-1111-11111-1-111-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-11-11-1-1-1-1111-11111-1-1
χ9222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1220000-1-1-1-100000000222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1220000-1-1-1-100000000
χ10222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1-2-20000111100000000222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1-2-20000111100000000
χ1122222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-100000000002200-1-1-1-122222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-100000000002200-1-1-1-1
χ1222222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-10000000000-2-200111122222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-10000000000-2-2001111
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
χ142222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000−i3i3−i3i3000000002222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000−i3i3−i3i300000000
χ152222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000i3−i3i3−i3000000002222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000i3−i3i3−i300000000
χ162222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-21111000000000000003−33−32222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-21111000000000000003−33−3
χ172222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-2111100000000000000−33−332222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-2111100000000000000−33−33
χ1822-222-2222-2-222-2-222-2-22-2-2-22-222-2-22200000000000000000022-222-2222-2-222-2-222-2-22-2-2-22-222-2-222000000000000000000
χ1922-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000−i3i3i3−i30000000022-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000−i3i3i3−i300000000
χ2022-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000i3−i3−i3i30000000022-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000i3−i3−i3i300000000
χ2122-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-1000000000000003−3−3322-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-1000000000000003−3−33
χ2222-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-100000000000000−333−322-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-100000000000000−333−3
χ2322-22-222-2-2-222-1112-122-1-211-1-1-21-1-1112-20000-1-1110000000022-22-222-2-2-222-1112-122-1-211-1-1-21-1-1112-20000-1-11100000000
χ2422-22-222-2-2-222-1112-122-1-211-1-1-21-1-111-22000011-1-10000000022-22-222-2-2-222-1112-122-1-211-1-1-21-1-111-22000011-1-100000000
χ2522-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-11100000000002-200-1-11122-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-11100000000002-200-1-111
χ2622-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-1110000000000-220011-1-122-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-1110000000000-220011-1-1
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
χ2944-444-4444-4-4-2-222-2-22212-1-112-2-2-1-11100000000000000000044-444-4444-4-4-2-222-2-22212-1-112-2-2-1-111000000000000000000
χ3044-44-444-4-4-44-2-222-2-2-2-212-1-11-22211-1-100000000000000000044-44-444-4-4-44-2-222-2-2-2-212-1-11-22211-1-1000000000000000000
χ314-40400-400004400-4-4004000-400000000000000000000000004-40400-400004400-4-4004000-40000000000000000000000000
χ324-40400-400004-2−2i32i3-4200-20−2i32i3200000000000000000000000004-40400-400004-2−2i32i3-4200-20−2i32i320000000000000000000000000
χ334-40400-400004-22i3−2i3-4200-202i3−2i3200000000000000000000000004-40400-400004-22i3−2i3-4200-202i3−2i320000000000000000000000000
χ344-40400-40000-24002-423−23-2000200023−23000000000000000000004-40400-40000-24002-423−23-2000200023−2300000000000000000000
χ354-40400-40000-24002-4−2323-20002000−2323000000000000000000004-40400-40000-24002-4−2323-20002000−232300000000000000000000
χ364-40400-40000-2-2−2i32i32223−2310i3−i3-1000−333i−3i0000000000000000004-40400-40000-2-2−2i32i32223−2310i3−i3-1000−333i−3i000000000000000000
χ374-40400-40000-2-2−2i32i322−232310i3−i3-10003−3−3i3i0000000000000000004-40400-40000-2-2−2i32i322−232310i3−i3-10003−3−3i3i000000000000000000
χ384-40400-40000-2-22i3−2i32223−2310−i3i3-1000−33−3i3i0000000000000000004-40400-40000-2-22i3−2i32223−2310−i3i3-1000−33−3i3i000000000000000000
χ394-40400-40000-2-22i3−2i322−232310−i3i3-10003−33i−3i0000000000000000004-40400-40000-2-22i3−2i322−232310−i3i3-10003−33i−3i000000000000000000
χ40666-366-3-3-3-3-3000000000000000000000022-1-1000000-1-10000666-366-3-3-3-3-3000000000000000000000022-1-1000000-1-10000
χ41666-366-3-3-3-3-30000000000000000000000-2-211000000110000666-366-3-3-3-3-30000000000000000000000-2-211000000110000
χ42666-3-6-6-333-33000000000000000000000000−i3i3000000−i3i30000666-3-6-6-333-33000000000000000000000000−i3i3000000−i3i30000
χ43666-3-6-6-333-33000000000000000000000000i3−i3000000i3−i30000666-3-6-6-333-33000000000000000000000000i3−i3000000i3−i30000
χ4466-6-36-6-3-3-333000000000000000000000000−i3i3000000i3−i3000066-6-36-6-3-3-333000000000000000000000000−i3i3000000i3−i30000
χ4566-6-36-6-3-3-333000000000000000000000000i3−i3000000−i3i3000066-6-36-6-3-3-333000000000000000000000000i3−i3000000−i3i30000
χ4666-6-3-66-3333-300000000000000000000002-2-1-100000011000066-6-3-66-3333-300000000000000000000002-2-1-1000000110000
χ4766-6-3-66-3333-30000000000000000000000-2211000000-1-1000066-6-3-66-3333-30000000000000000000000-2211000000-1-10000
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
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ521111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111
χ531111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ5411-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-11-11111-1-11-1-1-111-1-1-1-11-11-1-1111-1-1-111-1-1-1-1-1111-1-111-1-111-11-11-1-1-1-111-1111-1-111
χ5511-11-111-1-1-1111-1-111111-1-1-111-1-111-1-11-1-11-1-111-1-1-1111-1-111-1-11-11-1-1111-1-1-111-1-1-1-1-1111-1-111-1-111-111-111-1-1111-1-1-111-1-1
χ5611-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-111-111-1-111-11-1-1-1-111-1-11-11-1-1111-1-1-111-1-1-1-1-1111-1-111-1-1111-1-11-1-111-1-11-11111-1-1
χ5711-11-111-1-1-1111-1-111111-1-1-111-1-111-1-1-11-11-1-1-1-1111-11111-1-1-1-11-11-1-1111-1-1-111-1-1-1-1-1111-1-111-1-1111-11-11111-1-1-11-1-1-1-111
χ58222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1220000-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2111-21-2-21-21111-211111-2-20000111100000000
χ59222222222222-1-1-12-122-12-1-1-1-12-1-1-1-1-1-2-20000111100000000-2-2-2-2-2-2-2-2-2-2-2-2111-21-2-21-21111-211111220000-1-1-1-100000000
χ6022222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-100000000002200-1-1-1-1-2-2-2-2-2-2-2-2-2-2-21-2-2-21-21111111-21-211110000000000-2-2001111
χ6122222222222-1222-12-1-1-1-1-1-1-12-12-1-1-1-10000000000-2-2001111-2-2-2-2-2-2-2-2-2-2-21-2-2-21-21111111-21-2111100000000002200-1-1-1-1
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
χ632222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000−i3i3−i3i300000000-2-2-2-222-222-22-2111-21221-2111-12-1-1-1-1-1000000i3−i3i3−i300000000
χ642222-2-22-2-22-22-1-1-12-1-2-2-12-1-1-11-211111000000i3−i3i3−i300000000-2-2-2-222-222-22-2111-21221-2111-12-1-1-1-1-1000000−i3i3−i3i300000000
χ652222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-21111000000000000003−33−3-2-2-2-222-222-221-2-2-21-2-1-1111112-12-1-1-1-100000000000000−33−33
χ662222-2-22-2-22-2-1222-1211-1-1-1-1-1-21-2111100000000000000−33−33-2-2-2-222-222-221-2-2-21-2-1-1111112-12-1-1-1-1000000000000003−33−3
χ6722-222-2222-2-222-2-222-2-22-2-2-22-222-2-222000000000000000000-2-22-2-22-2-2-222-2-222-2-222-2222-22-2-222-2-2000000000000000000
χ6822-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000−i3i3i3−i300000000-2-22-2-22-2-2-222-21-1-1-212212-1-11-1-21-1-111000000i3−i3−i3i300000000
χ6922-222-2222-2-22-1112-1-2-2-1-211-112-111-1-1000000i3−i3−i3i300000000-2-22-2-22-2-2-222-21-1-1-212212-1-11-1-21-1-111000000−i3i3i3−i300000000
χ7022-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-1000000000000003−3−33-2-22-2-22-2-2-2221-2221-2-1-11-1-1-1121-2-1-11100000000000000−333−3
χ7122-222-2222-2-2-12-2-2-1211-1111-1-2-1211-1-100000000000000−333−3-2-22-2-22-2-2-2221-2221-2-1-11-1-1-1121-2-1-111000000000000003−3−33
χ7222-22-222-2-2-222-1112-122-1-211-1-1-21-1-1112-20000-1-11100000000-2-22-22-2-2222-2-21-1-1-21-2-212-1-1112-111-1-1-22000011-1-100000000
χ7322-22-222-2-2-222-1112-122-1-211-1-1-21-1-111-22000011-1-100000000-2-22-22-2-2222-2-21-1-1-21-2-212-1-1112-111-1-12-20000-1-11100000000
χ7422-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-11100000000002-200-1-111-2-22-22-2-2222-21-2221-2111-1-1-11-2-1211-1-10000000000-220011-1-1
χ7522-22-222-2-2-22-12-2-2-12-1-1-1111-121-2-1-1110000000000-220011-1-1-2-22-22-2-2222-21-2221-2111-1-1-11-2-1211-1-100000000002-200-1-111
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
χ7844-444-4444-4-4-2-222-2-22212-1-112-2-2-1-111000000000000000000-4-44-4-44-4-4-44422-2-222-2-2-1-211-1-22211-1-1000000000000000000
χ7944-44-444-4-4-44-2-222-2-2-2-212-1-11-22211-1-1000000000000000000-4-44-44-4-4444-422-2-22222-1-211-12-2-2-1-111000000000000000000
χ804-40400-400004400-4-4004000-40000000000000000000000000-440-40040000-4-4004400-400040000000000000000000000000
χ814-40400-400004-2−2i32i3-4200-20−2i32i320000000000000000000000000-440-40040000-422i3−2i34-200202i3−2i3-20000000000000000000000000
χ824-40400-400004-22i3−2i3-4200-202i3−2i320000000000000000000000000-440-40040000-42−2i32i34-20020−2i32i3-20000000000000000000000000
χ834-40400-40000-24002-423−23-2000200023−2300000000000000000000-440-400400002-400-24−23232000-2000−232300000000000000000000
χ844-40400-40000-24002-4−2323-20002000−232300000000000000000000-440-400400002-400-2423−232000-200023−2300000000000000000000
χ854-40400-40000-2-2−2i32i32223−2310i3−i3-1000−333i−3i000000000000000000-440-40040000222i3−2i3-2-2−2323-10−i3i310003−3−3i3i000000000000000000
χ864-40400-40000-2-2−2i32i322−232310i3−i3-10003−3−3i3i000000000000000000-440-40040000222i3−2i3-2-223−23-10−i3i31000−333i−3i000000000000000000
χ874-40400-40000-2-22i3−2i32223−2310−i3i3-1000−33−3i3i000000000000000000-440-4004000022−2i32i3-2-2−2323-10i3−i310003−33i−3i000000000000000000
χ884-40400-40000-2-22i3−2i322−232310−i3i3-10003−33i−3i000000000000000000-440-4004000022−2i32i3-2-223−23-10i3−i31000−33−3i3i000000000000000000
χ89666-366-3-3-3-3-3000000000000000000000022-1-1000000-1-10000-6-6-63-6-6333330000000000000000000000-2-211000000110000
χ90666-366-3-3-3-3-30000000000000000000000-2-211000000110000-6-6-63-6-633333000000000000000000000022-1-1000000-1-10000
χ91666-3-6-6-333-33000000000000000000000000−i3i3000000−i3i30000-6-6-63663-3-33-3000000000000000000000000i3−i3000000i3−i30000
χ92666-3-6-6-333-33000000000000000000000000i3−i3000000i3−i30000-6-6-63663-3-33-3000000000000000000000000−i3i3000000−i3i30000
χ9366-6-36-6-3-3-333000000000000000000000000−i3i3000000i3−i30000-6-663-66333-3-3000000000000000000000000i3−i3000000−i3i30000
χ9466-6-36-6-3-3-333000000000000000000000000i3−i3000000−i3i30000-6-663-66333-3-3000000000000000000000000−i3i3000000i3−i30000
χ9566-6-3-66-3333-300000000000000000000002-2-1-1000000110000-6-6636-63-3-3-330000000000000000000000-2211000000-1-10000
χ9666-6-3-66-3333-30000000000000000000000-2211000000-1-10000-6-6636-63-3-3-3300000000000000000000002-2-1-1000000110000
χ9712-120-600663−630000000000000000000000000000000000000000-12120600-6−63630000000000000000000000000000000000000000
χ9812-120-6006−63630000000000000000000000000000000000000000-12120600-663−630000000000000000000000000000000000000000

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