Finite Group Databasebeta

← Group #13147785

Character table — Group #13147785

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121222444444222444446666121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-11-111-1-11111-1-1-1-111-1-11-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1-1111-1-1-1-1-1-1111111-1-1-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-11-1-1111111-1-1-1-1-1-111-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-11111-1-1111-11-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111111-1-111-1-111-1-1-1-111-1-111
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-11111-1-1
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-111
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-11-1111111-1-1-1-111-1-1-1-1-111-1
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-111111-1-11111-1-1-1-1-1-11-1-11
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-111-11-1-1-1-111-1-1-1-11111111-1-11
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1-1-1-1-1-1-11111-1-11111-111-1
χ172222222222222222222222-122-1-12-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-122-1-12-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000020000200-1-1-1-100000000-1-1-1-10000
χ20222222222222222222222-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-20000-20011110000000011110000
χ212222222-2-22222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-122-1-1-2-21111-1-1-1-1111111110000000002-20002-20000000000000000-11-11
χ222222222-2-22222222-2-2-2-2-22-122-1-12-1-2-2-2-2-1-1-1-122-1-1-2-21111-1-1-1-111111111000000000-22000-2200000000000000001-11-1
χ232222222-2-22222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-1-12211-2-2-2-2-1-1-1-11111111122220000-20000-200-1-11100000000-1-1110000
χ242222222-2-22222222-2-2-2-2-2-12-1-122-121111-1-1-1-1-1-12211-2-2-2-2-1-1-1-111111111-2-2-2-200002000020011-1-10000000011-1-10000
χ2522222-2-222222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-2-211-2-211-1-11111-1-1-1-1111100000000022000-2-20000000000000000-1-111
χ2622222-2-222222-2-2-2-2-222-2-22-122-1-12-12222-1-1-1-1-2-211-2-211-1-11111-1-1-1-11111000000000-2-200022000000000000000011-1-1
χ2722222-2-222222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-2221111-1-1-1-1111122-2-20000-20000200-1-1110000000011-1-10000
χ2822222-2-222222-2-2-2-2-222-2-2-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-2221111-1-1-1-11111-2-222000020000-20011-1-100000000-1-1110000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-2-21122-1-11111111111-1-1-1-10000000002-2000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-2-21122-1-11111111111-1-1-1-1000000000-220002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-111-2-2-1-122-2-211111111-1-1-1-122-2-2000020000-200-1-1-1-10000000011110000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-122-121111-1-1-1-111-2-2-1-122-2-211111111-1-1-1-1-2-2220000-20000200111100000000-1-1-1-10000
χ332-22-222i−2i00-22-22i2i−2i−2i00000222-22-2-2-2000022-2-22i−2i2i−2i0000002i2i−2i−2i000000002-22i−2i0000000000002-200000000002i−2i000000
χ342-22-222i−2i00-22-22i2i−2i−2i00000222-22-2-2-2000022-2-22i−2i2i−2i0000002i2i−2i−2i00000000-22−2i2i000000000000-220000000000−2i2i000000
χ352-22-222i−2i00-22-22i2i−2i−2i00000-12-112-21-233−3−3-1-111−ii2i−2i−i3i30000−i−iii33−3−3−i3−i3i3i32-22i−2i000000000000-11−i3i300000000−ii3−30000
χ362-22-222i−2i00-22-22i2i−2i−2i00000-12-112-21-233−3−3-1-111−ii2i−2i−i3i30000−i−iii33−3−3−i3−i3i3i3-22−2i2i0000000000001-1i3−i300000000i−i−330000
χ372-22-222i−2i00-22-22i2i−2i−2i00000-12-112-21-2−3−333-1-111−ii2i−2ii3−i30000−i−iii−3−333i3i3−i3−i32-22i−2i000000000000-11i3−i300000000−ii−330000
χ382-22-222i−2i00-22-22i2i−2i−2i00000-12-112-21-2−3−333-1-111−ii2i−2ii3−i30000−i−iii−3−333i3i3−i3−i3-22−2i2i0000000000001-1−i3i300000000i−i3−30000
χ392-22-22−2i2i00-22-2−2i−2i2i2i00000222-22-2-2-2000022-2-2−2i2i−2i2i000000−2i−2i2i2i000000002-2−2i2i0000000000002-20000000000−2i2i000000
χ402-22-22−2i2i00-22-2−2i−2i2i2i00000222-22-2-2-2000022-2-2−2i2i−2i2i000000−2i−2i2i2i00000000-222i−2i000000000000-2200000000002i−2i000000
χ412-22-22−2i2i00-22-2−2i−2i2i2i00000-12-112-21-233−3−3-1-111i−i−2i2ii3−i30000ii−i−i33−3−3i3i3−i3−i32-2−2i2i000000000000-11i3−i300000000i−i3−30000
χ422-22-22−2i2i00-22-2−2i−2i2i2i00000-12-112-21-233−3−3-1-111i−i−2i2ii3−i30000ii−i−i33−3−3i3i3−i3−i3-222i−2i0000000000001-1−i3i300000000−ii−330000
χ432-22-22−2i2i00-22-2−2i−2i2i2i00000-12-112-21-2−3−333-1-111i−i−2i2i−i3i30000ii−i−i−3−333−i3−i3i3i32-2−2i2i000000000000-11−i3i300000000i−i−330000
χ442-22-22−2i2i00-22-2−2i−2i2i2i00000-12-112-21-2−3−333-1-111i−i−2i2i−i3i30000ii−i−i−3−333−i3−i3i3i3-222i−2i0000000000001-1i3−i300000000−ii3−30000
χ452-2-222002-2-2-22000002-20022-2-2-2-2222-22-22-22-2000000002-200002-22-2000000002-22-20000000000002-2002-20000000000
χ462-2-222002-2-2-22000002-20022-2-2-2-2222-22-22-22-2000000002-200002-22-200000000-22-22000000000000-2200-220000000000
χ472-2-22200-22-2-2200000-220022-2-2-2-222-22-222-22-200000000-220000-22-22000000002-2-220000000000002-200-220000000000
χ482-2-22200-22-2-2200000-220022-2-2-2-222-22-222-22-200000000-220000-22-2200000000-222-2000000000000-22002-20000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-2-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111122222222-2-2-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
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
χ5344-4-4400004-4-400000000044-44-44-4-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-4400004-4-40000000004-2-442-2-420000-222-200000023−23000000000023−2323−23000000000000000000000000000000000000
χ5544-4-4400004-4-40000000004-2-442-2-420000-222-2000000−23230000000000−2323−2323000000000000000000000000000000000000
χ5644-4-4400004-4-4000000000-242-2-442-423−23−2323-222-20000000000000023−23−23230000000000000000000000000000000000000000
χ5744-4-4400004-4-4000000000-242-2-442-4−232323−23-222-200000000000000−232323−230000000000000000000000000000000000000000
χ5844-4-4400004-4-4000000000-2-22-22-22223−23−23231-1-1100000023−23003-33-3−333−3−33−33000000000000000000000000000000000000
χ5944-4-4400004-4-4000000000-2-22-22-22223−23−23231-1-11000000−232300-33-33−333−33−33−3000000000000000000000000000000000000
χ6044-4-4400004-4-4000000000-2-22-22-222−232323−231-1-1100000023−2300-33-333−3−33−33−33000000000000000000000000000000000000
χ6144-4-4400004-4-4000000000-2-22-22-222−232323−231-1-11000000−2323003-33-33−3−333−33−3000000000000000000000000000000000000
χ624-44-444i−4i00-44-44i4i−4i−4i000004-24-4-22-420000-2-2224i−4i−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ634-44-444i−4i00-44-44i4i−4i−4i00000-2-2-22-22222323−23−2311-1-1−2i2i−2i2i−2i32i30000ii−i−i−3−333i3i3−i3−i3000000000000000000000000000000000000
χ644-44-444i−4i00-44-44i4i−4i−4i00000-2-2-22-2222−23−23232311-1-1−2i2i−2i2i2i3−2i30000ii−i−i33−3−3−i3−i3i3i3000000000000000000000000000000000000
χ654-44-44−4i4i00-44-4−4i−4i4i4i000004-24-4-22-420000-2-222−4i4i2i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ664-44-44−4i4i00-44-4−4i−4i4i4i00000-2-2-22-22222323−23−2311-1-12i−2i2i−2i2i3−2i30000−i−iii−3−333−i3−i3i3i3000000000000000000000000000000000000
χ674-44-44−4i4i00-44-4−4i−4i4i4i00000-2-2-22-2222−23−23232311-1-12i−2i2i−2i−2i32i30000−i−iii33−3−3i3i3−i3−i3000000000000000000000000000000000000
χ684-4-444004-4-4-44000004-4004-2-4-4224-24-44-4-22-2200000000-220000-22-220000000000000000000000000000000000000000
χ694-4-444004-4-4-44000004-400-2422-4-4-24-22-22-22-22000000004-40000-22-220000000000000000000000000000000000000000
χ704-4-444004-4-4-44000004-400-2-22222-2-2-22-221-11-100000000-223i−3i−3i3i1-11-13i−3i−3i3i000000000000000000000000000000000000
χ714-4-444004-4-4-44000004-400-2-22222-2-2-22-221-11-100000000-22−3i3i3i−3i1-11-1−3i3i3i−3i000000000000000000000000000000000000
χ724-4-44400-44-4-4400000-44004-2-4-4224-2-44-44-22-22000000002-200002-22-20000000000000000000000000000000000000000
χ734-4-44400-44-4-4400000-4400-2422-4-4-242-22-2-22-2200000000-4400002-22-20000000000000000000000000000000000000000
χ744-4-44400-44-4-4400000-4400-2-22222-2-22-22-21-11-1000000002-23i−3i−3i3i-11-11−3i3i3i−3i000000000000000000000000000000000000
χ754-4-44400-44-4-4400000-4400-2-22222-2-22-22-21-11-1000000002-2−3i3i3i−3i-11-113i−3i−3i3i000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-30000000000000000000000000000000000000000002222000220000000-1-1-1-1-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2000-2-200000001111111100000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-20002-20000000-1-1-1-1111100000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-222000-2200000001111-1-1-1-100000000
χ806666-3-6-666-3-3-33333-6-3-3330000000000000000000000000000000000000000002222000-2-20000000-1-111-1-11100000000
χ816666-3-6-666-3-3-33333-6-3-333000000000000000000000000000000000000000000-2-2-2-200022000000011-1-111-1-100000000
χ826666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000000022-2-2000-220000000-1-11111-1-100000000
χ836666-3-6-6-6-6-3-3-33333633-3-3000000000000000000000000000000000000000000-2-2220002-2000000011-1-1-1-11100000000
χ846-6-66-3006-633-333−3333−330-3333−330000000000000000000000000000000000000000002-22-2000000000000-113−3-113−300000000
χ856-6-66-3006-633-333−3333−330-3333−33000000000000000000000000000000000000000000-22-220000000000001-1−331-1−3300000000
χ866-6-66-3006-633-3−3333−33330-33−33330000000000000000000000000000000000000000002-22-2000000000000-11−33-11−3300000000
χ876-6-66-3006-633-3−3333−33330-33−3333000000000000000000000000000000000000000000-22-220000000000001-13−31-13−300000000
χ886-6-66-300-6633-333−3333−3303-3−33330000000000000000000000000000000000000000002-2-22000000000000-113−31-1−3300000000
χ896-6-66-300-6633-333−3333−3303-3−3333000000000000000000000000000000000000000000-222-20000000000001-1−33-113−300000000
χ906-6-66-300-6633-3−3333−333303-333−330000000000000000000000000000000000000000002-2-22000000000000-11−331-13−300000000
χ916-6-66-300-6633-3−3333−333303-333−33000000000000000000000000000000000000000000-222-20000000000001-13−3-11−3300000000
χ921212-12-12-60000-666−6i36i36i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-60000-6666i3−6i3−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-612i−12i006-66−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-6−12i12i006-666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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