Finite Group Databasebeta

← Group #13150595

Character table — Group #13150595

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
χ511-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-11-11111-1-11-1-1-111-1-111-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-11-11111-1-11-1-1-111-1-1
χ611-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-1-11-1-111-1-1-1111-1-11111-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-1-11-1-111-1-1-1111-1-111
χ711-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-111-111-1-111-11-1-1-1-11111-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-111-111-1-111-11-1-1-1-111
χ811-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-11-11-1-1-1-1111-11111-1-111-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-11-11-1-1-1-1111-11111-1-1
χ9222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1220000-1-1-1-100000000222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1220000-1-1-1-100000000
χ10222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-2-20000111100000000222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-2-20000111100000000
χ1122222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-10022-1-1000000-1-1000022222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-10022-1-1000000-1-10000
χ1222222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-100-2-21100000011000022222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-100-2-211000000110000
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
χ142222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000−i3i3−i3i3000000002222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000−i3i3−i3i300000000
χ152222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000i3−i3i3−i3000000002222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000i3−i3i3−i300000000
χ162222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000−i3i3000000−i3i300002222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000−i3i3000000−i3i30000
χ172222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000i3−i3000000i3−i300002222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000i3−i3000000i3−i30000
χ1822-222-22-2-2-2222-2-222222-2-2-22-22-2-2-22200000000000000000022-222-22-2-2-2222-2-222222-2-2-22-22-2-2-222000000000000000000
χ1922-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000−i3i3i3−i30000000022-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000−i3i3i3−i300000000
χ2022-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000i3−i3−i3i30000000022-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000i3−i3−i3i300000000
χ2122-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000−i3i3000000i3−i3000022-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000−i3i3000000i3−i30000
χ2222-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000i3−i3000000−i3i3000022-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000i3−i3000000−i3i30000
χ2322-22-22222-2-22-111-12-2-2-1-211-1-112-1-1112-20000-1-1110000000022-22-22222-2-22-111-12-2-2-1-211-1-112-1-1112-20000-1-11100000000
χ2422-22-22222-2-22-111-12-2-2-1-211-1-112-1-111-22000011-1-10000000022-22-22222-2-22-111-12-2-2-1-211-1-112-1-111-22000011-1-100000000
χ2522-22-22222-2-2-12-2-22-111-1111-12-2-1-1-111002-2-1-100000011000022-22-22222-2-2-12-2-22-111-1111-12-2-1-1-111002-2-1-1000000110000
χ2622-22-22222-2-2-12-2-22-111-1111-12-2-1-1-11100-2211000000-1-1000022-22-22222-2-2-12-2-22-111-1111-12-2-1-1-11100-2211000000-1-10000
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
χ2944-444-44-4-4-44-2-222-2-2-2-212-1-112-22-1-11100000000000000000044-444-44-4-4-44-2-222-2-2-2-212-1-112-22-1-111000000000000000000
χ3044-44-44444-4-4-2-222-2-22212-1-11-22-211-1-100000000000000000044-44-44444-4-4-2-222-2-22212-1-11-22-211-1-1000000000000000000
χ314-40400-400004400-4-4004000-400000000000000000000000004-40400-400004400-4-4004000-40000000000000000000000000
χ324-40400-400004-2−2i32i32-400-20−2i32i3200000000000000000000000004-40400-400004-2−2i32i32-400-20−2i32i320000000000000000000000000
χ334-40400-400004-22i3−2i32-400-202i3−2i3200000000000000000000000004-40400-400004-22i3−2i32-400-202i3−2i320000000000000000000000000
χ344-40400-40000-2400-4223−23-200020000023−230000000000000000004-40400-40000-2400-4223−23-200020000023−23000000000000000000
χ354-40400-40000-2400-42−2323-2000200000−23230000000000000000004-40400-40000-2400-42−2323-2000200000−2323000000000000000000
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
χ40666-366-3-3-3-3-30000000000000000000000000000002200-1-1-1-1666-366-3-3-3-3-30000000000000000000000000000002200-1-1-1-1
χ41666-366-3-3-3-3-3000000000000000000000000000000-2-2001111666-366-3-3-3-3-3000000000000000000000000000000-2-2001111
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
χ4666-6-3-66-3-3-3330000000000000000000000000000002-200-1-11166-6-3-66-3-3-3330000000000000000000000000000002-200-1-111
χ4766-6-3-66-3-3-333000000000000000000000000000000-220011-1-166-6-3-66-3-3-333000000000000000000000000000000-220011-1-1
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
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
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
χ5411-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-11-11111-1-11-1-1-111-1-1-1-11-11-1-1-1-111-1-111-1-111-1111-1-11-1-1-111-11-11-1-1-1-111-1111-1-111
χ5511-11-11111-1-111-1-111-1-11-1-1-111-1111-1-11-1-11-1-111-1-1-1111-1-111-1-11-11-1-1-1-111-1-111-1-111-1111-1-11-1-1-111-111-111-1-1111-1-1-111-1-1
χ5611-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-111-111-1-111-11-1-1-1-111-1-11-11-1-1-1-111-1-111-1-111-1111-1-11-1-1-1111-1-11-1-111-1-11-11111-1-1
χ5711-11-11111-1-111-1-111-1-11-1-1-111-1111-1-1-11-11-1-1-1-1111-11111-1-1-1-11-11-1-1-1-111-1-111-1-111-1111-1-11-1-1-1111-11-11111-1-1-11-1-1-1-111
χ58222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1220000-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-21-211111-21111-2-20000111100000000
χ59222222222222-1-1-1-1222-12-1-1-1-1-12-1-1-1-1-2-20000111100000000-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-21-211111-21111220000-1-1-1-100000000
χ6022222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-10022-1-1000000-1-10000-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111111-2-21111100-2-211000000110000
χ6122222222222-12222-1-1-1-1-1-1-1-122-1-1-1-1-100-2-211000000110000-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111111-2-2111110022-1-1000000-1-10000
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
χ632222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000−i3i3−i3i300000000-2-2-2-222-222-22-21111-2221-2111-1-12-1-1-1-1000000i3−i3i3−i300000000
χ642222-2-22-2-22-22-1-1-1-12-2-2-12-1-1-111-21111000000i3−i3i3−i300000000-2-2-2-222-222-22-21111-2221-2111-1-12-1-1-1-1000000−i3i3−i3i300000000
χ652222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000−i3i3000000−i3i30000-2-2-2-222-222-221-2-2-2-21-1-11111122-1-1-1-1-10000i3−i3000000i3−i30000
χ662222-2-22-2-22-2-12222-111-1-1-1-1-1-2-2111110000i3−i3000000i3−i30000-2-2-2-222-222-221-2-2-2-21-1-11111122-1-1-1-1-10000−i3i3000000−i3i30000
χ6722-222-22-2-2-2222-2-222222-2-2-22-22-2-2-222000000000000000000-2-22-2-22-2222-2-2-222-2-2-2-2-2222-22-2222-2-2000000000000000000
χ6822-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000−i3i3i3−i300000000-2-22-2-22-2222-2-21-1-11-2-2-212-1-11-112-1-111000000i3−i3−i3i300000000
χ6922-222-22-2-2-222-111-1222-1-211-11-1-211-1-1000000i3−i3−i3i300000000-2-22-2-22-2222-2-21-1-11-2-2-212-1-11-112-1-111000000−i3i3i3−i300000000
χ7022-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000−i3i3000000i3−i30000-2-22-2-22-2222-21-222-21111-1-1-112-2-1-1-1110000i3−i3000000−i3i30000
χ7122-222-22-2-2-22-12-2-22-1-1-1-1111-1-22111-1-10000i3−i3000000−i3i30000-2-22-2-22-2222-21-222-21111-1-1-112-2-1-1-1110000−i3i3000000i3−i30000
χ7222-22-22222-2-22-111-12-2-2-1-211-1-112-1-1112-20000-1-11100000000-2-22-22-2-2-2-222-21-1-11-22212-1-111-1-211-1-1-22000011-1-100000000
χ7322-22-22222-2-22-111-12-2-2-1-211-1-112-1-111-22000011-1-100000000-2-22-22-2-2-2-222-21-1-11-22212-1-111-1-211-1-12-20000-1-11100000000
χ7422-22-22222-2-2-12-2-22-111-1111-12-2-1-1-111002-2-1-1000000110000-2-22-22-2-2-2-2221-222-21-1-11-1-1-11-22111-1-100-2211000000-1-10000
χ7522-22-22222-2-2-12-2-22-111-1111-12-2-1-1-11100-2211000000-1-10000-2-22-22-2-2-2-2221-222-21-1-11-1-1-11-22111-1-1002-2-1-1000000110000
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
χ7844-444-44-4-4-44-2-222-2-2-2-212-1-112-22-1-111000000000000000000-4-44-4-44-4444-422-2-22222-1-211-1-22-211-1-1000000000000000000
χ7944-44-44444-4-4-2-222-2-22212-1-11-22-211-1-1000000000000000000-4-44-44-4-4-4-44422-2-222-2-2-1-211-12-22-1-111000000000000000000
χ804-40400-400004400-4-4004000-40000000000000000000000000-440-40040000-4-4004400-400040000000000000000000000000
χ814-40400-400004-2−2i32i32-400-20−2i32i320000000000000000000000000-440-40040000-422i3−2i3-2400202i3−2i3-20000000000000000000000000
χ824-40400-400004-22i3−2i32-400-202i3−2i320000000000000000000000000-440-40040000-42−2i32i3-240020−2i32i3-20000000000000000000000000
χ834-40400-40000-2400-4223−23-200020000023−23000000000000000000-440-400400002-4004-2−23232000-200000−2323000000000000000000
χ844-40400-40000-2400-42−2323-2000200000−2323000000000000000000-440-400400002-4004-223−232000-20000023−23000000000000000000
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
χ89666-366-3-3-3-3-30000000000000000000000000000002200-1-1-1-1-6-6-63-6-633333000000000000000000000000000000-2-2001111
χ90666-366-3-3-3-3-3000000000000000000000000000000-2-2001111-6-6-63-6-6333330000000000000000000000000000002200-1-1-1-1
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
χ9566-6-3-66-3-3-3330000000000000000000000000000002-200-1-111-6-6636-6333-3-3000000000000000000000000000000-220011-1-1
χ9666-6-3-66-3-3-333000000000000000000000000000000-220011-1-1-6-6636-6333-3-30000000000000000000000000000002-200-1-111
χ9712-120-600663−630000000000000000000000000000000000000000-12120600-6−63630000000000000000000000000000000000000000
χ9812-120-6006−63630000000000000000000000000000000000000000-12120600-663−630000000000000000000000000000000000000000

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