Finite Group Databasebeta

← Group #13147907

Character table — Group #13147907

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446661212121241212121233666666121212123666121212121212121212121212121212121212121212122222224422244444666666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11-11-1-11111-1-1-1-11111-1-1-11-11
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-1111-1-1-1-11111-1-1-1-111-11-11
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1-11111-1-111-1-1-1-111-1-1
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-1111111-1-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1111-1-1-1-1-111-1-11111-1-111-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-11-11111-1-111-1-1-1-111-1-1-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11-11-1-1-1-1-1-111111111-1-11-1-11
χ172222222222222222222222-122-1-12-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-122-1-12-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000220000000-1-1-1-10000-1-1-1-10000
χ20222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-200000001111000011110000
χ212222222-2-2222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111111110000000002-20002-20000000000000000-11-11
χ222222222-2-2222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-1-1-2-2-2-21111-1-1-1-111111111000000000-22000-2200000000000000001-11-1
χ232222222-2-2222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-1221111-2-2-2-2-1-1-1-11111111122-2-200000002-20000000-1-1110000-1-1110000
χ242222222-2-2222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-1221111-2-2-2-2-1-1-1-111111111-2-2220000000-22000000011-1-1000011-1-10000
χ2522222-2-2222222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-11122-2-211-1-11111-1-1-1-1111100000000022000-2-20000000000000000-1-111
χ2622222-2-2222222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-11122-2-211-1-11111-1-1-1-11111000000000-2-200022000000000000000011-1-1
χ2722222-2-2222222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-2-2-1-111-2-2221111-1-1-1-1111122220000000-2-20000000-1-1-1-1000011110000
χ2822222-2-2222222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-2-2-1-111-2-2221111-1-1-1-11111-2-2-2-2000000022000000011110000-1-1-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-111-2-222-1-11111111111-1-1-1-10000000002-2000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-111-2-222-1-11111111111-1-1-1-1000000000-220002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-1-2-211-1-122-2-211111111-1-1-1-122-2-20000000-220000000-1-111000011-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-1-2-211-1-122-2-211111111-1-1-1-1-2-22200000002-2000000011-1-10000-1-1110000
χ3322-2-222i−2i002-2-2000002i−2i00222-22-2-2-22i2i−2i−2i22-2-22i−2i000000002i2i−2i−2i0000000000002-22i−2i000000002-20000002i−2i0000000000
χ3422-2-222i−2i002-2-2000002i−2i00222-22-2-2-22i2i−2i−2i22-2-22i−2i000000002i2i−2i−2i000000000000-22−2i2i00000000-22000000−2i2i0000000000
χ3522-2-22−2i2i002-2-200000−2i2i00222-22-2-2-2−2i−2i2i2i22-2-2−2i2i00000000−2i−2i2i2i0000000000002-2−2i2i000000002-2000000−2i2i0000000000
χ3622-2-22−2i2i002-2-200000−2i2i00222-22-2-2-2−2i−2i2i2i22-2-2−2i2i00000000−2i−2i2i2i000000000000-222i−2i00000000-220000002i−2i0000000000
χ372-2-222002-2-2-2222-2-20000022-22-2-2-2200002-22-2002-200002-2000022-2-200002-22-200000000000000002-22-2000000000000
χ382-2-222002-2-2-2222-2-20000022-22-2-2-2200002-22-2002-200002-2000022-2-20000-22-220000000000000000-22-22000000000000
χ392-2-222002-2-2-2222-2-200000-121-1-2-2123−33−3-11-1100-113−3002-23−33−3-1-11133−3−32-22-20000000000000000-11-1100003−33−30000
χ402-2-222002-2-2-2222-2-200000-121-1-2-2123−33−3-11-1100-113−3002-23−33−3-1-11133−3−3-22-2200000000000000001-11-10000−33−330000
χ412-2-222002-2-2-2222-2-200000-121-1-2-212−33−33-11-1100-11−33002-2−33−33-1-111−3−3332-22-20000000000000000-11-110000−33−330000
χ422-2-222002-2-2-2222-2-200000-121-1-2-212−33−33-11-1100-11−33002-2−33−33-1-111−3−333-22-2200000000000000001-11-100003−33−30000
χ432-2-22200-22-2-22-2-2220000022-22-2-2-2200002-22-200-220000-220000-2-22200002-2-2200000000000000002-2-22000000000000
χ442-2-22200-22-2-22-2-2220000022-22-2-2-2200002-22-200-220000-220000-2-2220000-222-20000000000000000-222-2000000000000
χ452-2-22200-22-2-22-2-22200000-121-1-2-2123−33−3-11-11001-1−3300-223−33−311-1-1−3−3332-2-220000000000000000-111-100003−3−330000
χ462-2-22200-22-2-22-2-22200000-121-1-2-2123−33−3-11-11001-1−3300-223−33−311-1-1−3−333-222-200000000000000001-1-110000−333−30000
χ472-2-22200-22-2-22-2-22200000-121-1-2-212−33−33-11-11001-13−300-22−33−3311-1-133−3−32-2-220000000000000000-111-10000−333−30000
χ482-2-22200-22-2-22-2-22200000-121-1-2-212−33−33-11-11001-13−300-22−33−3311-1-133−3−3-222-200000000000000001-1-1100003−3−330000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-4444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21111-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-22222111122-2-22222-2-2-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-444i−4i004-4-4000004i−4i004-24-4-22-424i4i−4i−4i-2-222−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ5444-4-444i−4i004-4-4000004i−4i00-24-224-42-4−2i−2i2i2i-2-2224i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ5544-4-444i−4i004-4-4000004i−4i00-2-2-22-2222−2i−2i2i2i11-1-1−2i2i00000000ii−i−i3i−3i3i−3i3-33-3000000000000000000000000000000000000
χ5644-4-444i−4i004-4-4000004i−4i00-2-2-22-2222−2i−2i2i2i11-1-1−2i2i00000000ii−i−i−3i3i−3i3i-33-33000000000000000000000000000000000000
χ5744-4-44−4i4i004-4-400000−4i4i004-24-4-22-42−4i−4i4i4i-2-2222i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ5844-4-44−4i4i004-4-400000−4i4i00-24-224-42-42i2i−2i−2i-2-222−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ5944-4-44−4i4i004-4-400000−4i4i00-2-2-22-22222i2i−2i−2i11-1-12i−2i00000000−i−iii3i−3i3i−3i-33-33000000000000000000000000000000000000
χ6044-4-44−4i4i004-4-400000−4i4i00-2-2-22-22222i2i−2i−2i11-1-12i−2i00000000−i−iii−3i3i−3i3i3-33-3000000000000000000000000000000000000
χ614-44-440000-44-400000000044-4-4-444-400004-4-440000000000000000000000000000000000000000000000000000000000
χ624-44-440000-44-40000000004-2-4-42-2420000-222-200000023−23000000000023−23−2323000000000000000000000000000000000000
χ634-44-440000-44-40000000004-2-4-42-2420000-222-2000000−23230000000000−232323−23000000000000000000000000000000000000
χ644-44-440000-44-4000000000-2422-44-2-4−2i32i32i3−2i3-222-20000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ654-44-440000-44-4000000000-2422-44-2-42i3−2i3−2i32i3-222-200000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ664-44-440000-44-4000000000-2-2222-2-22−2i32i32i3−2i31-1-1100000023−2300i3−i3−i3i33i−3i−3i3i−333−3000000000000000000000000000000000000
χ674-44-440000-44-4000000000-2-2222-2-22−2i32i32i3−2i31-1-11000000−232300i3−i3−i3i3−3i3i3i−3i3−3−33000000000000000000000000000000000000
χ684-44-440000-44-4000000000-2-2222-2-222i3−2i3−2i32i31-1-1100000023−2300−i3i3i3−i3−3i3i3i−3i−333−3000000000000000000000000000000000000
χ694-44-440000-44-4000000000-2-2222-2-222i3−2i3−2i32i31-1-11000000−232300−i3i3i3−i33i−3i−3i3i3−3−33000000000000000000000000000000000000
χ704-4-444004-4-4-4444-4-4000004-2-4422-4-20000-22-22004-40000-220000-2-2220000000000000000000000000000000000000000
χ714-4-444004-4-4-4444-4-400000-2-22-2222-223−2323−231-11-100-2223−2300-22−33−3311-1-1−3−333000000000000000000000000000000000000
χ724-4-444004-4-4-4444-4-400000-2-22-2222-2−2323−23231-11-100-22−232300-223−33−311-1-133−3−3000000000000000000000000000000000000
χ734-4-44400-44-4-44-4-444000004-2-4422-4-20000-22-2200-4400002-2000022-2-20000000000000000000000000000000000000000
χ744-4-44400-44-4-44-4-44400000-2-22-2222-223−2323−231-11-1002-2−2323002-2−33−33-1-11133−3−3000000000000000000000000000000000000
χ754-4-44400-44-4-44-4-44400000-2-22-2222-2−2323−23231-11-1002-223−23002-23−33−3-1-111−3−333000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000222220000200-1-1-1-10000-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2-20000-20011110000111100000000
χ786666-366-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000000002222-20000-200-1-1110000-1-11100000000
χ796666-366-6-6-3-3-33333-6-3-333000000000000000000000000000000000000000000-2-2-2-22000020011-1-1000011-1-100000000
χ806666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-2-20000200-1-111000011-1-100000000
χ816666-3-6-666-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-22220000-20011-1-10000-1-11100000000
χ826666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000000022-2-220000-200-1-1-1-10000111100000000
χ836666-3-6-6-6-6-3-3-33333633-3-3000000000000000000000000000000000000000000-2-222-2000020011110000-1-1-1-100000000
χ8466-6-6-36i−6i00-33333−3333−330−3i3i−3i33i30000000000000000000000000000000000000000002-22i−2i00000000-11−i3i30000−ii3−300000000
χ8566-6-6-36i−6i00-33333−3333−330−3i3i−3i33i3000000000000000000000000000000000000000000-22−2i2i000000001-1i3−i30000i−i−3300000000
χ8666-6-6-36i−6i00-333−3333−33330−3i3i3i3−3i30000000000000000000000000000000000000000002-22i−2i00000000-11i3−i30000−ii−3300000000
χ8766-6-6-36i−6i00-333−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000000000-22−2i2i000000001-1−i3i30000i−i3−300000000
χ8866-6-6-3−6i6i00-33333−3333−3303i−3i3i3−3i30000000000000000000000000000000000000000002-2−2i2i00000000-11i3−i30000i−i3−300000000
χ8966-6-6-3−6i6i00-33333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000000000-222i−2i000000001-1−i3i30000−ii−3300000000
χ9066-6-6-3−6i6i00-333−3333−333303i−3i−3i33i30000000000000000000000000000000000000000002-2−2i2i00000000-11−i3i30000i−i−3300000000
χ9166-6-6-3−6i6i00-333−3333−333303i−3i−3i33i3000000000000000000000000000000000000000000-222i−2i000000001-1i3−i30000−ii3−300000000
χ9212-1212-12-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-60012-1266-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600-121266-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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