Finite Group Databasebeta

← Group #13147882

Character table — Group #13147882

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121244444444224444446612121212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1-11-11-1-1-11111-1-11111-1-1-1-111-1-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-11-1-11111-1-1-1-1-1-11111-1-111
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1111-1-1-1-1111111-1-1-1-1-1-111
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-111-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11-1-111-1-111-1-11111-1-111-1-1-111-1
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-111-1-1111-1-11
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-111-1-1-1-111-1-111-111-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1-111-11111-1-1-1-111-1-1-1-111-11-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-11111-1-11-11-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11-11-11-1-1-1-1111111-1-1-1-1111-11-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-1-1-1-11111-1-11111-1-1-11-11
χ172222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-12-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000220000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000000111111110000
χ212222222-2-2222-2-2-2-2-222-2-22-12-1-1-1222222-1-1-1-1-1-11111-2-2-2-2-1-1-1-1111111110000000002-20002-20000000000000000-1-111
χ222222222-2-2222-2-2-2-2-222-2-22-12-1-1-1222222-1-1-1-1-1-11111-2-2-2-2-1-1-1-111111111000000000-22000-22000000000000000011-1-1
χ232222222-2-2222-2-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111111111000022-2-200002-20000000000-1-1-1-111110000
χ242222222-2-2222-2-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111111110000-2-2220000-2200000000001111-1-1-1-10000
χ2522222-2-2222222222-2-2-2-2-22-12-1-1-122-2-2-2-2-1-1-1-111-1-11122-2-21111-1-1-1-1111100000000022000-2-20000000000000000-111-1
χ2622222-2-2222222222-2-2-2-2-22-12-1-1-122-2-2-2-2-1-1-1-111-1-11122-2-21111-1-1-1-11111000000000-2-20002200000000000000001-1-11
χ2722222-2-2222222222-2-2-2-2-2-12-1222-1-11111-1-1-1-1-2-222-2-2-1-1111111-1-1-1-11111000022220000-2-20000000000-1-111-1-1110000
χ2822222-2-2222222222-2-2-2-2-2-12-1222-1-11111-1-1-1-1-2-222-2-2-1-1111111-1-1-1-111110000-2-2-2-2000022000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-1-122-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-10000000002-2000-220000000000000000-11-11
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-1-122-2-2-2-2-1-1-1-11111-1-1-2-22211111111-1-1-1-1000000000-220002-200000000000000001-11-1
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1222-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-1000022-2-20000-220000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1222-1-11111-1-1-1-1-2-2-2-22211-1-111111111-1-1-1-10000-2-22200002-2000000000011-1-1-1-1110000
χ332-22-22002i−2i2-2-22i2i−2i−2i0000022-22-2-22-2000022-2-2002i−2i002i−2i0000002i2i−2i−2i000000002i−2i2-200000000000000002i−2i002-2000000
χ342-22-22002i−2i2-2-22i2i−2i−2i0000022-22-2-22-2000022-2-2002i−2i002i−2i0000002i2i−2i−2i00000000−2i2i-220000000000000000−2i2i00-22000000
χ352-22-22002i−2i2-2-22i2i−2i−2i00000-1212-2-2-1133−3−3-1-111002i−2i00−ii−i3i333−3−3−i−iii−i3−i3i3i300002i−2i2-20000000000000000−ii−i3i3-113−30000
χ362-22-22002i−2i2-2-22i2i−2i−2i00000-1212-2-2-1133−3−3-1-111002i−2i00−ii−i3i333−3−3−i−iii−i3−i3i3i30000−2i2i-220000000000000000i−ii3−i31-1−330000
χ372-22-22002i−2i2-2-22i2i−2i−2i00000-1212-2-2-11−3−333-1-111002i−2i00−iii3−i3−3−333−i−iiii3i3−i3−i300002i−2i2-20000000000000000−iii3−i3-11−330000
χ382-22-22002i−2i2-2-22i2i−2i−2i00000-1212-2-2-11−3−333-1-111002i−2i00−iii3−i3−3−333−i−iiii3i3−i3−i30000−2i2i-220000000000000000i−i−i3i31-13−30000
χ392-22-2200−2i2i2-2-2−2i−2i2i2i0000022-22-2-22-2000022-2-200−2i2i00−2i2i000000−2i−2i2i2i000000002i−2i-2200000000000000002i−2i00-22000000
χ402-22-2200−2i2i2-2-2−2i−2i2i2i0000022-22-2-22-2000022-2-200−2i2i00−2i2i000000−2i−2i2i2i00000000−2i2i2-20000000000000000−2i2i002-2000000
χ412-22-2200−2i2i2-2-2−2i−2i2i2i00000-1212-2-2-1133−3−3-1-11100−2i2i00i−ii3−i333−3−3ii−i−ii3i3−i3−i300002i−2i-220000000000000000−ii−i3i31-1−330000
χ422-22-2200−2i2i2-2-2−2i−2i2i2i00000-1212-2-2-1133−3−3-1-11100−2i2i00i−ii3−i333−3−3ii−i−ii3i3−i3−i30000−2i2i2-20000000000000000i−ii3−i3-113−30000
χ432-22-2200−2i2i2-2-2−2i−2i2i2i00000-1212-2-2-11−3−333-1-11100−2i2i00i−i−i3i3−3−333ii−i−i−i3−i3i3i300002i−2i-220000000000000000−iii3−i31-13−30000
χ442-22-2200−2i2i2-2-2−2i−2i2i2i00000-1212-2-2-11−3−333-1-11100−2i2i00i−i−i3i3−3−333ii−i−i−i3−i3i3i30000−2i2i2-20000000000000000i−i−i3i3-11−330000
χ452-2-2222i−2i00-22-2000002i−2i0022-2-22-2-222i−2i2i−2i2-22-22i−2i000000002i−2i2i−2i000000002i−2i2-2000000000000002i−2i2-200000000000000
χ462-2-2222i−2i00-22-2000002i−2i0022-2-22-2-222i−2i2i−2i2-22-22i−2i000000002i−2i2i−2i00000000−2i2i-2200000000000000−2i2i-2200000000000000
χ472-2-222−2i2i00-22-200000−2i2i0022-2-22-2-22−2i2i−2i2i2-22-2−2i2i00000000−2i2i−2i2i000000002i−2i-22000000000000002i−2i-2200000000000000
χ482-2-222−2i2i00-22-200000−2i2i0022-2-22-2-22−2i2i−2i2i2-22-2−2i2i00000000−2i2i−2i2i00000000−2i2i2-200000000000000−2i2i2-200000000000000
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
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
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
χ5344-4-440000-4-44000000000444-4-44-4-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-440000-4-440000000004-2422-2-4-40000-222-2000023−2300000000000023−2323−23000000000000000000000000000000000000
χ5544-4-440000-4-440000000004-2422-2-4-40000-222-20000−2323000000000000−2323−2323000000000000000000000000000000000000
χ5644-4-440000-4-44000000000-24-2-4-4422−2i32i32i3−2i3-222-20000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ5744-4-440000-4-44000000000-24-2-4-44222i3−2i3−2i32i3-222-200000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ5844-4-440000-4-44000000000-2-2-222-222−2i32i32i3−2i31-1-11000023−230000i3−i3−i3i33i−3i3i−3i−33−33000000000000000000000000000000000000
χ5944-4-440000-4-44000000000-2-2-222-222−2i32i32i3−2i31-1-110000−23230000i3−i3−i3i3−3i3i−3i3i3−33−3000000000000000000000000000000000000
χ6044-4-440000-4-44000000000-2-2-222-2222i3−2i3−2i32i31-1-11000023−230000−i3i3i3−i3−3i3i−3i3i−33−33000000000000000000000000000000000000
χ6144-4-440000-4-44000000000-2-2-222-2222i3−2i3−2i32i31-1-110000−23230000−i3i3i3−i33i−3i3i−3i3−33−3000000000000000000000000000000000000
χ624-44-44004i−4i4-4-44i4i−4i−4i000004-2-4-2224-40000-2-22200−2i2i004i−4i000000−2i−2i2i2i0000000000000000000000000000000000000000
χ634-44-44004i−4i4-4-44i4i−4i−4i00000-2-22-222-222323−23−2311-1-100−2i2i00−2i2i−2i32i3−3−333ii−i−ii3i3−i3−i3000000000000000000000000000000000000
χ644-44-44004i−4i4-4-44i4i−4i−4i00000-2-22-222-22−23−23232311-1-100−2i2i00−2i2i2i3−2i333−3−3ii−i−i−i3−i3i3i3000000000000000000000000000000000000
χ654-44-4400−4i4i4-4-4−4i−4i4i4i000004-2-4-2224-40000-2-222002i−2i00−4i4i0000002i2i−2i−2i0000000000000000000000000000000000000000
χ664-44-4400−4i4i4-4-4−4i−4i4i4i00000-2-22-222-222323−23−2311-1-1002i−2i002i−2i2i3−2i3−3−333−i−iii−i3−i3i3i3000000000000000000000000000000000000
χ674-44-4400−4i4i4-4-4−4i−4i4i4i00000-2-22-222-22−23−23232311-1-1002i−2i002i−2i−2i32i333−3−3−i−iiii3i3−i3−i3000000000000000000000000000000000000
χ684-4-4444i−4i00-44-4000004i−4i004-2-42-22-444i−4i4i−4i-22-22−2i2i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ694-4-4444i−4i00-44-4000004i−4i00-242-44-42-2−2i2i−2i2i-22-224i−4i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ704-4-4444i−4i00-44-4000004i−4i00-2-222-222-2−2i2i−2i2i1-11-1−2i2i00000000i−ii−i3-3-333i−3i−3i3i000000000000000000000000000000000000
χ714-4-4444i−4i00-44-4000004i−4i00-2-222-222-2−2i2i−2i2i1-11-1−2i2i00000000i−ii−i-333-3−3i3i3i−3i000000000000000000000000000000000000
χ724-4-444−4i4i00-44-400000−4i4i004-2-42-22-44−4i4i−4i4i-22-222i−2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ734-4-444−4i4i00-44-400000−4i4i00-242-44-42-22i−2i2i−2i-22-22−4i4i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ744-4-444−4i4i00-44-400000−4i4i00-2-222-222-22i−2i2i−2i1-11-12i−2i00000000−ii−ii3-3-33−3i3i3i−3i000000000000000000000000000000000000
χ754-4-444−4i4i00-44-400000−4i4i00-2-222-222-22i−2i2i−2i1-11-12i−2i00000000−ii−ii-333-33i−3i−3i3i000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000020020000-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-20000-200-2000011111111000000000000
χ786666-366-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000022220000-200-2000011-1-1-1-111000000000000
χ796666-366-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-2000020020000-1-11111-1-1000000000000
χ806666-3-6-666-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-20000-2002000011-1-111-1-1000000000000
χ816666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2220000200-20000-1-111-1-111000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-20000200-20000-1-1-1-11111000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-2220000-200200001111-1-1-1-1000000000000
χ846-6-66-36i−6i003-33−3i33i3−3i33i30−3i3i33−33000000000000000000000000000000000000002i−2i2-2000000000000−i3i3−ii-113−3000000000000
χ856-6-66-36i−6i003-33−3i33i3−3i33i30−3i3i33−3300000000000000000000000000000000000000−2i2i-22000000000000i3−i3i−i1-1−33000000000000
χ866-6-66-36i−6i003-333i3−3i33i3−3i30−3i3i−3333000000000000000000000000000000000000002i−2i2-2000000000000i3−i3−ii-11−33000000000000
χ876-6-66-36i−6i003-333i3−3i33i3−3i30−3i3i−333300000000000000000000000000000000000000−2i2i-22000000000000−i3i3i−i1-13−3000000000000
χ886-6-66-3−6i6i003-33−3i33i3−3i33i303i−3i−3333000000000000000000000000000000000000002i−2i-22000000000000i3−i3−ii1-13−3000000000000
χ896-6-66-3−6i6i003-33−3i33i3−3i33i303i−3i−333300000000000000000000000000000000000000−2i2i2-2000000000000−i3i3i−i-11−33000000000000
χ906-6-66-3−6i6i003-333i3−3i33i3−3i303i−3i33−33000000000000000000000000000000000000002i−2i-22000000000000−i3i3−ii1-1−33000000000000
χ916-6-66-3−6i6i003-333i3−3i33i3−3i303i−3i33−3300000000000000000000000000000000000000−2i2i2-2000000000000i3−i3i−i-113−3000000000000
χ921212-12-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-60012i−12i-666−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-600−12i12i-6666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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