Finite Group Databasebeta

← Group #13147767

Character table — Group #13147767

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121244444444444444441212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111-11-11
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11-1-111-1-11111-1-111-1-1-11-11
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-11-111-1-1-1-11111-1-1-1-1111-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-111-1111-1-1-1-111-1-11111-1-1-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-11-1-11111-1-111-1-1-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222222222222-12-122-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-12-122-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-12-12-1-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022222000020000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-12-1-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-20000-20000000000111111110000
χ212222222-2-2222-2-2-2-2-222-2-22-12-122-1-12222-1-1-1-1-1-1-2-211-2-211-1-1-1-11111111100000000022000-2-2000000000000000011-1-1
χ222222222-2-2222-2-2-2-2-222-2-22-12-122-1-12222-1-1-1-1-1-1-2-211-2-211-1-1-1-111111111000000000-2-2000220000000000000000-1-111
χ232222222-2-2222-2-2-2-2-222-2-2-12-12-1-122-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-111111111000022-2-2-2000020000000000-1-1-1-111110000
χ242222222-2-2222-2-2-2-2-222-2-2-12-12-1-122-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111110000-2-22220000-200000000001111-1-1-1-10000
χ2522222-2-2222222222-2-2-2-2-22-12-122-1-1-2-2-2-2-1-1-1-11122-1-1-2-2111111-1-1-1-111110000000002-20002-20000000000000000-11-11
χ2622222-2-2222222222-2-2-2-2-22-12-122-1-1-2-2-2-2-1-1-1-11122-1-1-2-2111111-1-1-1-11111000000000-22000-2200000000000000001-11-1
χ2722222-2-2222222222-2-2-2-2-2-12-12-1-1221111-1-1-1-1-2-2-1-12211-2-21111-1-1-1-1111100002222-20000-20000000000-1-111-1-1110000
χ2822222-2-2222222222-2-2-2-2-2-12-12-1-1221111-1-1-1-1-2-2-1-12211-2-21111-1-1-1-111110000-2-2-2-2200002000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-122-1-1-2-2-2-2-1-1-1-111-2-21122-1-111111111-1-1-1-10000000002-2000-2200000000000000001-1-11
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-122-1-1-2-2-2-2-1-1-1-111-2-21122-1-111111111-1-1-1-1000000000-220002-20000000000000000-111-1
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-12-1-1221111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-1000022-2-220000-20000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-12-1-1221111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-10000-2-222-200002000000000011-1-1-1-1110000
χ3322-2-222-200-22-2000002-2002222-2-2-2-222-2-222-2-22-20000000022-2-2000000002-22-20000000000002-22-20000000000000000
χ3422-2-222-200-22-2000002-2002222-2-2-2-222-2-222-2-22-20000000022-2-200000000-22-22000000000000-22-220000000000000000
χ3522-2-22-2200-22-200000-22002222-2-2-2-2-2-22222-2-2-2200000000-2-222000000002-2-220000000000002-2-220000000000000000
χ3622-2-22-2200-22-200000-22002222-2-2-2-2-2-22222-2-2-2200000000-2-22200000000-222-2000000000000-222-20000000000000000
χ372-2-222002i−2i-2-222i2i−2i−2i0000022-2-22-22-200002-22-2002i−2i2i−2i000000002i2i−2i−2i000000002i−2i2-200000000000000002i−2i002-2000000
χ382-2-222002i−2i-2-222i2i−2i−2i0000022-2-22-22-200002-22-2002i−2i2i−2i000000002i2i−2i−2i00000000−2i2i-220000000000000000−2i2i00-22000000
χ392-2-222002i−2i-2-222i2i−2i−2i00000-121-2-112-23−33−3-11-1100−ii2i−2i−i3i3003−33−3−i−iii−i3−i3i3i300002i−2i2-20000000000000000−ii−i3i3-113−30000
χ402-2-222002i−2i-2-222i2i−2i−2i00000-121-2-112-23−33−3-11-1100−ii2i−2i−i3i3003−33−3−i−iii−i3−i3i3i30000−2i2i-220000000000000000i−ii3−i31-1−330000
χ412-2-222002i−2i-2-222i2i−2i−2i00000-121-2-112-2−33−33-11-1100−ii2i−2ii3−i300−33−33−i−iiii3i3−i3−i300002i−2i2-20000000000000000−iii3−i3-11−330000
χ422-2-222002i−2i-2-222i2i−2i−2i00000-121-2-112-2−33−33-11-1100−ii2i−2ii3−i300−33−33−i−iiii3i3−i3−i30000−2i2i-220000000000000000i−i−i3i31-13−30000
χ432-2-22200−2i2i-2-22−2i−2i2i2i0000022-2-22-22-200002-22-200−2i2i−2i2i00000000−2i−2i2i2i000000002i−2i-2200000000000000002i−2i00-22000000
χ442-2-22200−2i2i-2-22−2i−2i2i2i0000022-2-22-22-200002-22-200−2i2i−2i2i00000000−2i−2i2i2i00000000−2i2i2-20000000000000000−2i2i002-2000000
χ452-2-22200−2i2i-2-22−2i−2i2i2i00000-121-2-112-23−33−3-11-1100i−i−2i2ii3−i3003−33−3ii−i−ii3i3−i3−i300002i−2i-220000000000000000−ii−i3i31-1−330000
χ462-2-22200−2i2i-2-22−2i−2i2i2i00000-121-2-112-23−33−3-11-1100i−i−2i2ii3−i3003−33−3ii−i−ii3i3−i3−i30000−2i2i2-20000000000000000i−ii3−i3-113−30000
χ472-2-22200−2i2i-2-22−2i−2i2i2i00000-121-2-112-2−33−33-11-1100i−i−2i2i−i3i300−33−33ii−i−i−i3−i3i3i300002i−2i-220000000000000000−iii3−i31-13−30000
χ482-2-22200−2i2i-2-22−2i−2i2i2i00000-121-2-112-2−33−33-11-1100i−i−2i2i−i3i300−33−33ii−i−i−i3−i3i3i30000−2i2i2-20000000000000000i−i−i3i3-11−330000
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
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-22222111122-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-222221111222222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-444-400-44-4000004-4004-24-2-4-42244-4-4-2-222-2200000000-2-22200000000000000000000000000000000000000000000
χ5444-4-444-400-44-4000004-400-24-2422-4-4-2-222-2-2224-400000000-2-22200000000000000000000000000000000000000000000
χ5544-4-444-400-44-4000004-400-2-2-2-22222-2-22211-1-1-220000000011-1-13i−3i3i−3i3i−3i3i−3i000000000000000000000000000000000000
χ5644-4-444-400-44-4000004-400-2-2-2-22222-2-22211-1-1-220000000011-1-1−3i3i−3i3i−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-44-4400-44-400000-44004-24-2-4-422-4-444-2-2222-20000000022-2-200000000000000000000000000000000000000000000
χ5844-4-44-4400-44-400000-4400-24-2422-4-422-2-2-2-222-440000000022-2-200000000000000000000000000000000000000000000
χ5944-4-44-4400-44-400000-4400-2-2-2-2222222-2-211-1-12-200000000-1-1113i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-44-4400-44-400000-4400-2-2-2-2222222-2-211-1-12-200000000-1-111−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000
χ614-44-4400004-4-400000000044-4-4-44-4400004-4-440000000000000000000000000000000000000000000000000000000000
χ624-44-4400004-4-40000000004-2-42-442-20000-222-20000000023−230000000023−23−2323000000000000000000000000000000000000
χ634-44-4400004-4-40000000004-2-42-442-20000-222-200000000−232300000000−232323−23000000000000000000000000000000000000
χ644-44-4400004-4-4000000000-242-42-2-4423−23−2323-222-2000000000023−23−232300000000000000000000000000000000000000000000
χ654-44-4400004-4-4000000000-242-42-2-44−232323−23-222-20000000000−232323−2300000000000000000000000000000000000000000000
χ664-44-4400004-4-4000000000-2-2222-22-223−23−23231-1-110000000023−23−333−33-3-33−333−3000000000000000000000000000000000000
χ674-44-4400004-4-4000000000-2-2222-22-223−23−23231-1-1100000000−2323−333−3-333-33−3−33000000000000000000000000000000000000
χ684-44-4400004-4-4000000000-2-2222-22-2−232323−231-1-110000000023−233−3−33-333-3−333−3000000000000000000000000000000000000
χ694-44-4400004-4-4000000000-2-2222-22-2−232323−231-1-1100000000−23233−3−333-3-333−3−33000000000000000000000000000000000000
χ704-4-444004i−4i-4-444i4i−4i−4i000004-2-424-4-220000-22-22004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ714-4-444004i−4i-4-444i4i−4i−4i00000-2-222-22-2223−2323−231-11-100−2i2i−2i2i−2i32i300−33−33ii−i−ii3i3−i3−i3000000000000000000000000000000000000
χ724-4-444004i−4i-4-444i4i−4i−4i00000-2-222-22-22−2323−23231-11-100−2i2i−2i2i2i3−2i3003−33−3ii−i−i−i3−i3i3i3000000000000000000000000000000000000
χ734-4-44400−4i4i-4-44−4i−4i4i4i000004-2-424-4-220000-22-2200−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ744-4-44400−4i4i-4-44−4i−4i4i4i00000-2-222-22-2223−2323−231-11-1002i−2i2i−2i2i3−2i300−33−33−i−iii−i3−i3i3i3000000000000000000000000000000000000
χ754-4-44400−4i4i-4-44−4i−4i4i4i00000-2-222-22-22−2323−23231-11-1002i−2i2i−2i−2i32i3003−33−3−i−iiii3i3−i3−i3000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000000022000-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-20000000-2-200011111111000000000000
χ786666-366-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000022220000000-2-2000-1-1-1-11111000000000000
χ796666-366-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-20000000220001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-200000002-2000-1-111-1-111000000000000
χ816666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2220000000-2200011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-20000000-22000-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-22200000002-200011-1-1-1-111000000000000
χ8466-6-6-36-6003-3333−3333−330-3333−33000000000000000000000000000000000000002-22-2000000000000-11-113−33−3000000000000
χ8566-6-6-36-6003-3333−3333−330-3333−3300000000000000000000000000000000000000-22-220000000000001-11-1−33−33000000000000
χ8666-6-6-36-6003-33−3333−33330-33−3333000000000000000000000000000000000000002-22-2000000000000-11-11−33−33000000000000
χ8766-6-6-36-6003-33−3333−33330-33−333300000000000000000000000000000000000000-22-220000000000001-11-13−33−3000000000000
χ8866-6-6-3-66003-3333−3333−3303-3−3333000000000000000000000000000000000000002-2-22000000000000-111-13−3−33000000000000
χ8966-6-6-3-66003-3333−3333−3303-3−333300000000000000000000000000000000000000-222-20000000000001-1-11−333−3000000000000
χ9066-6-6-3-66003-33−3333−333303-333−33000000000000000000000000000000000000002-2-22000000000000-111-1−333−3000000000000
χ9166-6-6-3-66003-33−3333−333303-333−3300000000000000000000000000000000000000-222-20000000000001-1-113−3−33000000000000
χ9212-1212-12-60000-666−6i36i36i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-60000-6666i3−6i3−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-60012i−12i66-6−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600−12i12i66-66i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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