Finite Group Databasebeta

← Group #13147807

Character table — Group #13147807

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212124121212123366666612121212366612121212121212121212121212121212121212121212444444442244444412121212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1-11-111111-1-1-1-1-1-1-1-11111-11-11
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-1-1-111111111-1-1-1-1-11-11
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-111-1-1-1-1-11111-1-1-1-111111-11-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11-1-11111-1-111-1-111-1-111-1-1-1-111
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-111-1-1-1-111-1-11111-1-1
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-111-1-111-1-111-1-111
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-111-111-1-1-1-11111-1-1-1-111-111-1
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-11-1-1111-1-1-1-111-1-11111-1-11-1-11
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-11-11-1-11111-1-111-1-1-1-1111-1-11
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-111-11-1-1-11111-1-1-1-11111-1-1-111-1
χ172222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000220000220000000000000000-1-1-1-1
χ182222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000-2-200000000000000001111
χ19222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000220000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000000111111110000
χ212222222-2-2222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-111111111000000002-200002-20000000000000000-11-11
χ222222222-2-2222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-11111111100000000-220000-2200000000000000001-11-1
χ232222222-2-2222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111000022-2-200002-20000000000-1-1-1-111110000
χ242222222-2-2222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-1111111110000-2-2220000-2200000000001111-1-1-1-10000
χ2522222-2-2222222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1111122-1-1-2-21111-1-1-1-1111100000000220000-2-20000000000000000-1-111
χ2622222-2-2222222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1111122-1-1-2-21111-1-1-1-1111100000000-2-2000022000000000000000011-1-1
χ2722222-2-2222222222-2-2-2-2-2-12-122-1-121111-1-1-1-1-2-2-2-2-1-122111111-1-1-1-11111000022220000-2-20000000000-1-111-1-1110000
χ2822222-2-2222222222-2-2-2-2-2-12-122-1-121111-1-1-1-1-2-2-2-2-1-122111111-1-1-1-111110000-2-2-2-2000022000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-1000000002-20000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-100000000-2200002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-1000022-2-20000-220000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-10000-2-22200002-2000000000011-1-1-1-1110000
χ332-22-22002-22-2-222-2-20000022-2-2-22-22000022-2-200002-22-200000022-2-2000000002i−2i2i−2i00000000000000002i−2i002i−2i000000
χ342-22-22002-22-2-222-2-20000022-2-2-22-22000022-2-200002-22-200000022-2-200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i000000
χ352-22-22002-22-2-222-2-200000-121-2-2-11233−3−3-1-1110000-112-23−333−3−3-1-11133−3−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i30000
χ362-22-22002-22-2-222-2-200000-121-2-2-11233−3−3-1-1110000-112-23−333−3−3-1-11133−3−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i30000
χ372-22-22002-22-2-222-2-200000-121-2-2-112−3−333-1-1110000-112-2−33−3−333-1-111−3−33300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i30000
χ382-22-22002-22-2-222-2-200000-121-2-2-112−3−333-1-1110000-112-2−33−3−333-1-111−3−3330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i30000
χ392-22-2200-222-2-2-2-2220000022-2-2-22-22000022-2-20000-22-22000000-2-222000000002i−2i−2i2i00000000000000002i−2i00−2i2i000000
χ402-22-2200-222-2-2-2-2220000022-2-2-22-22000022-2-20000-22-22000000-2-22200000000−2i2i2i−2i0000000000000000−2i2i002i−2i000000
χ412-22-2200-222-2-2-2-22200000-121-2-2-11233−3−3-1-11100001-1-22−3333−3−311-1-1−3−33300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i30000
χ422-22-2200-222-2-2-2-22200000-121-2-2-11233−3−3-1-11100001-1-22−3333−3−311-1-1−3−3330000−2i2i2i−2i0000000000000000i−ii3−i3−ii−i3i30000
χ432-22-2200-222-2-2-2-22200000-121-2-2-112−3−333-1-11100001-1-223−3−3−33311-1-133−3−300002i−2i−2i2i0000000000000000−iii3−i3i−i−i3i30000
χ442-22-2200-222-2-2-2-22200000-121-2-2-112−3−333-1-11100001-1-223−3−3−33311-1-133−3−30000−2i2i2i−2i0000000000000000i−i−i3i3−iii3−i30000
χ452-2-2222i−2i00-22-2000002i−2i0022-22-2-22-22i−2i2i−2i2-22-22i−2i000000002i−2i2i−2i000000002i−2i2-20000000000002i−2i2-20000000000000000
χ462-2-2222i−2i00-22-2000002i−2i0022-22-2-22-22i−2i2i−2i2-22-22i−2i000000002i−2i2i−2i00000000−2i2i-22000000000000−2i2i-220000000000000000
χ472-2-222−2i2i00-22-200000−2i2i0022-22-2-22-2−2i2i−2i2i2-22-2−2i2i00000000−2i2i−2i2i000000002i−2i-220000000000002i−2i-220000000000000000
χ482-2-222−2i2i00-22-200000−2i2i0022-22-2-22-2−2i2i−2i2i2-22-2−2i2i00000000−2i2i−2i2i00000000−2i2i2-2000000000000−2i2i2-20000000000000000
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
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-22222111122-2-22222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-440000-4-44000000000444-44-4-4-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-440000-4-440000000004-242-2-4-420000-222-20023−230000000000000023−2323−23000000000000000000000000000000000000
χ5544-4-440000-4-440000000004-242-2-4-420000-222-200−232300000000000000−2323−2323000000000000000000000000000000000000
χ5644-4-440000-4-44000000000-24-2-4422-4−2i32i32i3−2i3-222-20000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ5744-4-440000-4-44000000000-24-2-4422-42i3−2i3−2i32i3-222-200000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ5844-4-440000-4-44000000000-2-2-22-2222−2i32i32i3−2i31-1-110023−23000000i3−i3−i3i33i−3i3i−3i−33−33000000000000000000000000000000000000
χ5944-4-440000-4-44000000000-2-2-22-2222−2i32i32i3−2i31-1-1100−2323000000i3−i3−i3i3−3i3i−3i3i3−33−3000000000000000000000000000000000000
χ6044-4-440000-4-44000000000-2-2-22-22222i3−2i3−2i32i31-1-110023−23000000−i3i3i3−i3−3i3i−3i3i−33−33000000000000000000000000000000000000
χ6144-4-440000-4-44000000000-2-2-22-22222i3−2i3−2i32i31-1-1100−2323000000−i3i3i3−i33i−3i3i−3i3−33−3000000000000000000000000000000000000
χ624-44-44004-44-4-444-4-4000004-2-4224-4-20000-2-22200004-4-22000000-2-2220000000000000000000000000000000000000000
χ634-44-44004-44-4-444-4-400000-2-2222-22-22323−23−2311-1-10000-22-2223−23−3−33311-1-1−3−333000000000000000000000000000000000000
χ644-44-44004-44-4-444-4-400000-2-2222-22-2−23−23232311-1-10000-22-22−232333−3−311-1-133−3−3000000000000000000000000000000000000
χ654-44-4400-444-4-4-4-444000004-2-4224-4-20000-2-2220000-442-200000022-2-20000000000000000000000000000000000000000
χ664-44-4400-444-4-4-4-44400000-2-2222-22-22323−23−2311-1-100002-22-2−2323−3−333-1-11133−3−3000000000000000000000000000000000000
χ674-44-4400-444-4-4-4-44400000-2-2222-22-2−23−23232311-1-100002-22-223−2333−3−3-1-111−3−333000000000000000000000000000000000000
χ684-4-4444i−4i00-44-4000004i−4i004-2-4-22-4424i−4i4i−4i-22-22−2i2i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ694-4-4444i−4i00-44-4000004i−4i00-2424-42-2-4−2i2i−2i2i-22-224i−4i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ704-4-4444i−4i00-44-4000004i−4i00-2-22-222-22−2i2i−2i2i1-11-1−2i2i00000000i−ii−i3i−3i−3i3i3-3-33000000000000000000000000000000000000
χ714-4-4444i−4i00-44-4000004i−4i00-2-22-222-22−2i2i−2i2i1-11-1−2i2i00000000i−ii−i−3i3i3i−3i-333-3000000000000000000000000000000000000
χ724-4-444−4i4i00-44-400000−4i4i004-2-4-22-442−4i4i−4i4i-22-222i−2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ734-4-444−4i4i00-44-400000−4i4i00-2424-42-2-42i−2i2i−2i-22-22−4i4i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ744-4-444−4i4i00-44-400000−4i4i00-2-22-222-222i−2i2i−2i1-11-12i−2i00000000−ii−ii3i−3i−3i3i-333-3000000000000000000000000000000000000
χ754-4-444−4i4i00-44-400000−4i4i00-2-22-222-222i−2i2i−2i1-11-12i−2i00000000−ii−ii−3i3i3i−3i3-3-33000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000000220000-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-2000000-2-2000011111111000000000000
χ786666-366-6-6-3-3-33333-6-3-333000000000000000000000000000000000000002222000000-2-20000-1-1-1-11111000000000000
χ796666-366-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-20000002200001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-2000000-220000-1-111-1-111000000000000
χ816666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2220000002-2000011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-20000002-20000-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-222000000-22000011-1-1-1-111000000000000
χ846-6-66-36i−6i003-3333−3333−330−3i3i−3i33i3000000000000000000000000000000000000002i−2i2-2000000000000−ii-11−i3i33−3000000000000
χ856-6-66-36i−6i003-3333−3333−330−3i3i−3i33i300000000000000000000000000000000000000−2i2i-22000000000000i−i1-1i3−i3−33000000000000
χ866-6-66-36i−6i003-33−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000002i−2i2-2000000000000−ii-11i3−i3−33000000000000
χ876-6-66-36i−6i003-33−3333−33330−3i3i3i3−3i300000000000000000000000000000000000000−2i2i-22000000000000i−i1-1−i3i33−3000000000000
χ886-6-66-3−6i6i003-3333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000002i−2i-22000000000000−ii1-1−i3i3−33000000000000
χ896-6-66-3−6i6i003-3333−3333−3303i−3i3i3−3i300000000000000000000000000000000000000−2i2i2-2000000000000i−i-11i3−i33−3000000000000
χ906-6-66-3−6i6i003-33−3333−333303i−3i−3i33i3000000000000000000000000000000000000002i−2i-22000000000000−ii1-1i3−i33−3000000000000
χ916-6-66-3−6i6i003-33−3333−333303i−3i−3i33i300000000000000000000000000000000000000−2i2i2-2000000000000i−i-11−i3i3−33000000000000
χ921212-12-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-60012-12-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-600-1212-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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