Finite Group Databasebeta

← Group #13147806

Character table — Group #13147806

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446661212121241212121233666666121212123666121212121212121212121212121212121212121212122222444444444444666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-1-1-111-1-11111-1-1-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11-1-11111-1-111-1-1-1-111-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-1-1-111-1-1111-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1111-111-1-1-1-11111-1-1-1-111-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-11-1-1-11111-1-1-1-11111-1-1-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11-11-1-111-1-11111-1-111-1-11-1-11
χ172222222222222222222222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000022000-1-1-1-100000000-1-1-1-10000
χ182222222222222222222222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-200011110000000011110000
χ19222222222222222222222-12-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ20222222222222222222222-12-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-12-1-122-11111-1-1-1-122-1-111-2-2-2-2-1-1-1-11111111122220000000-2-2000-1-1-1-10000000011110000
χ222222222-2-22222222-2-2-2-2-22-12-1-122-11111-1-1-1-122-1-111-2-2-2-2-1-1-1-111111111-2-2-2-2000000022000111100000000-1-1-1-10000
χ232222222-2-22222222-2-2-2-2-2-12-122-1-12-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-11111111100000000022000-2-20000000000000000-1-111
χ242222222-2-22222222-2-2-2-2-2-12-122-1-12-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-111111111000000000-2-200022000000000000000011-1-1
χ2522222-2-222222-2-2-2-2-222-2-22-12-1-122-1-1-1-1-1-1-1-1-1-2-2111122-2-21111-1-1-1-1111122-2-200000002-2000-1-11100000000-1-1110000
χ2622222-2-222222-2-2-2-2-222-2-22-12-1-122-1-1-1-1-1-1-1-1-1-2-2111122-2-21111-1-1-1-11111-2-2220000000-2200011-1-10000000011-1-10000
χ2722222-2-222222-2-2-2-2-222-2-2-12-122-1-122222-1-1-1-111-2-2-2-2-1-1111111-1-1-1-111110000000002-20002-20000000000000000-11-11
χ2822222-2-222222-2-2-2-2-222-2-2-12-122-1-122222-1-1-1-111-2-2-2-2-1-1111111-1-1-1-11111000000000-22000-2200000000000000001-11-1
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-11111-1-1-1-1-2-211-1-1-2-22211111111-1-1-1-122-2-20000000-22000-1-1110000000011-1-10000
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-11111-1-1-1-1-2-211-1-1-2-22211111111-1-1-1-1-2-22200000002-200011-1-100000000-1-1110000
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-122-1-12-2-2-2-2-1-1-1-111-2-22211-1-111111111-1-1-1-10000000002-2000-220000000000000000-111-1
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-122-1-12-2-2-2-2-1-1-1-111-2-22211-1-111111111-1-1-1-1000000000-220002-200000000000000001-1-11
χ3322-2-222-2002-2-222-2-2000002222-2-2-2-2000022-2-22-22-200000022-2-2000000002-22-20000000000002-22-20000000000000000
χ3422-2-222-2002-2-222-2-2000002222-2-2-2-2000022-2-22-22-200000022-2-200000000-22-22000000000000-22-220000000000000000
χ3522-2-222-2002-2-222-2-2000002-12-11-2-2133−3−3-1-1112-2-113−30000-1-11133−3−333−3−32-22-2000000000000-11-11000000003−33−30000
χ3622-2-222-2002-2-222-2-2000002-12-11-2-2133−3−3-1-1112-2-113−30000-1-11133−3−333−3−3-22-220000000000001-11-100000000−33−330000
χ3722-2-222-2002-2-222-2-2000002-12-11-2-21−3−333-1-1112-2-11−330000-1-111−3−333−3−3332-22-2000000000000-11-1100000000−33−330000
χ3822-2-222-2002-2-222-2-2000002-12-11-2-21−3−333-1-1112-2-11−330000-1-111−3−333−3−333-22-220000000000001-11-1000000003−33−30000
χ3922-2-22-22002-2-2-2-222000002222-2-2-2-2000022-2-2-22-22000000-2-222000000002-2-220000000000002-2-220000000000000000
χ4022-2-22-22002-2-2-2-222000002222-2-2-2-2000022-2-2-22-22000000-2-22200000000-222-2000000000000-222-20000000000000000
χ4122-2-22-22002-2-2-2-222000002-12-11-2-2133−3−3-1-111-221-1−33000011-1-133−3−3−3−3332-2-22000000000000-111-1000000003−3−330000
χ4222-2-22-22002-2-2-2-222000002-12-11-2-2133−3−3-1-111-221-1−33000011-1-133−3−3−3−333-222-20000000000001-1-1100000000−333−30000
χ4322-2-22-22002-2-2-2-222000002-12-11-2-21−3−333-1-111-221-13−3000011-1-1−3−33333−3−32-2-22000000000000-111-100000000−333−30000
χ4422-2-22-22002-2-2-2-222000002-12-11-2-21−3−333-1-111-221-13−3000011-1-1−3−33333−3−3-222-20000000000001-1-11000000003−3−330000
χ452-22-22002i−2i-22-2000002i−2i0022-2-222-2-22i−2i2i−2i2-22-20000002i−2i0000002i−2i2i−2i000000002-22i−2i0000000000002-2002i−2i0000000000
χ462-22-22002i−2i-22-2000002i−2i0022-2-222-2-22i−2i2i−2i2-22-20000002i−2i0000002i−2i2i−2i00000000-22−2i2i000000000000-2200−2i2i0000000000
χ472-22-2200−2i2i-22-200000−2i2i0022-2-222-2-2−2i2i−2i2i2-22-2000000−2i2i000000−2i2i−2i2i000000002-2−2i2i0000000000002-200−2i2i0000000000
χ482-22-2200−2i2i-22-200000−2i2i0022-2-222-2-2−2i2i−2i2i2-22-2000000−2i2i000000−2i2i−2i2i00000000-222i−2i000000000000-22002i−2i0000000000
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
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-21111222222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-2222211112222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-444-4004-4-444-4-400000-24-24-422-40000-2-222-224-4000000-2-22200000000000000000000000000000000000000000000
χ5444-4-444-4004-4-444-4-400000-2-2-2-222222323−23−2311-1-1-22-2223−23000011-1-1−3−333−3−333000000000000000000000000000000000000
χ5544-4-444-4004-4-444-4-400000-2-2-2-22222−23−23232311-1-1-22-22−2323000011-1-133−3−333−3−3000000000000000000000000000000000000
χ5644-4-44-44004-4-4-4-44400000-24-24-422-40000-2-2222-2-4400000022-2-200000000000000000000000000000000000000000000
χ5744-4-44-44004-4-4-4-44400000-2-2-2-222222323−23−2311-1-12-22-2−23230000-1-111−3−33333−3−3000000000000000000000000000000000000
χ5844-4-44-44004-4-4-4-44400000-2-2-2-22222−23−23232311-1-12-22-223−230000-1-11133−3−3−3−333000000000000000000000000000000000000
χ594-44-44004i−4i-44-4000004i−4i004-2-42-24-42−2i2i−2i2i-22-220000004i−4i000000−2i2i−2i2i0000000000000000000000000000000000000000
χ604-44-44004i−4i-44-4000004i−4i00-242-44-22-44i−4i4i−4i-22-22000000−2i2i000000−2i2i−2i2i0000000000000000000000000000000000000000
χ614-44-44004i−4i-44-4000004i−4i00-2-222-2-222−2i2i−2i2i1-11-1000000−2i2i003i−3i3i−3ii−ii−i3-33-3000000000000000000000000000000000000
χ624-44-44004i−4i-44-4000004i−4i00-2-222-2-222−2i2i−2i2i1-11-1000000−2i2i00−3i3i−3i3ii−ii−i-33-33000000000000000000000000000000000000
χ634-44-4400−4i4i-44-400000−4i4i004-2-42-24-422i−2i2i−2i-22-22000000−4i4i0000002i−2i2i−2i0000000000000000000000000000000000000000
χ644-44-4400−4i4i-44-400000−4i4i00-242-44-22-4−4i4i−4i4i-22-220000002i−2i0000002i−2i2i−2i0000000000000000000000000000000000000000
χ654-44-4400−4i4i-44-400000−4i4i00-2-222-2-2222i−2i2i−2i1-11-10000002i−2i003i−3i3i−3i−ii−ii-33-33000000000000000000000000000000000000
χ664-44-4400−4i4i-44-400000−4i4i00-2-222-2-2222i−2i2i−2i1-11-10000002i−2i00−3i3i−3i3i−ii−ii3-33-3000000000000000000000000000000000000
χ674-4-4440000-4-4400000000044-4-4-4-44400004-4-440000000000000000000000000000000000000000000000000000000000
χ684-4-4440000-4-440000000004-2-422-44-2−2i32i32i3−2i3-222-200000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ694-4-4440000-4-440000000004-2-422-44-22i3−2i3−2i32i3-222-2000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ704-4-4440000-4-44000000000-242-4-42-240000-222-20000000023−230000000023−23−2323000000000000000000000000000000000000
χ714-4-4440000-4-44000000000-242-4-42-240000-222-200000000−232300000000−232323−23000000000000000000000000000000000000
χ724-4-4440000-4-44000000000-2-22222-2-2−2i32i32i3−2i31-1-110000000023−233i−3i−3i3ii3−i3−i3i3−333−3000000000000000000000000000000000000
χ734-4-4440000-4-44000000000-2-22222-2-2−2i32i32i3−2i31-1-1100000000−2323−3i3i3i−3ii3−i3−i3i33−3−33000000000000000000000000000000000000
χ744-4-4440000-4-44000000000-2-22222-2-22i3−2i3−2i32i31-1-110000000023−23−3i3i3i−3i−i3i3i3−i3−333−3000000000000000000000000000000000000
χ754-4-4440000-4-44000000000-2-22222-2-22i3−2i3−2i32i31-1-1100000000−23233i−3i−3i3i−i3i3i3−i33−3−33000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-30000000000000000000000000000000000000000002222200002000000-1-1-1-1-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2-20000-20000001111111100000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-2-200002000000-1-1-1-1111100000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-22220000-20000001111-1-1-1-100000000
χ806666-3-6-666-3-3-33333-6-3-3330000000000000000000000000000000000000000002222-20000-2000000-1-111-1-11100000000
χ816666-3-6-666-3-3-33333-6-3-333000000000000000000000000000000000000000000-2-2-2-220000200000011-1-111-1-100000000
χ826666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000000022-2-220000-2000000-1-11111-1-100000000
χ836666-3-6-6-6-6-3-3-33333633-3-3000000000000000000000000000000000000000000-2-222-20000200000011-1-1-1-11100000000
χ846-66-6-3006i−6i3-3333−3333−330−3i3i−3i33i30000000000000000000000000000000000000000002-22i−2i000000000000-113−3−ii−i3i300000000
χ856-66-6-3006i−6i3-3333−3333−330−3i3i−3i33i3000000000000000000000000000000000000000000-22−2i2i0000000000001-1−33i−ii3−i300000000
χ866-66-6-3006i−6i3-33−3333−33330−3i3i3i3−3i30000000000000000000000000000000000000000002-22i−2i000000000000-11−33−iii3−i300000000
χ876-66-6-3006i−6i3-33−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000000000-22−2i2i0000000000001-13−3i−i−i3i300000000
χ886-66-6-300−6i6i3-3333−3333−3303i−3i3i3−3i30000000000000000000000000000000000000000002-2−2i2i000000000000-113−3i−ii3−i300000000
χ896-66-6-300−6i6i3-3333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000000000-222i−2i0000000000001-1−33−ii−i3i300000000
χ906-66-6-300−6i6i3-33−3333−333303i−3i−3i33i30000000000000000000000000000000000000000002-2−2i2i000000000000-11−33i−i−i3i300000000
χ916-66-6-300−6i6i3-33−3333−333303i−3i−3i33i3000000000000000000000000000000000000000000-222i−2i0000000000001-13−3−iii3−i300000000
χ921212-12-12-612-1200-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6-121200-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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