Finite Group Databasebeta

← Group #13147784

Character table — Group #13147784

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121222444444222444446666121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-11-111-1-111-1-11111-1-1-1-11-11-1
χ61111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1-1111-1-111-1-1-1-1-1-11111-11-11
χ71111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-11-1-111-1-1111111-1-1-1-1-11-11
χ81111111-1-1111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-1-1-111111-11-1
χ911111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111
χ1011111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-11111-1-1
χ1111111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ1211111-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-111-1-11111-1-1-1-111-1-111-1-111
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-11-11111-1-1-1-111-1-1-1-111-111-1
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-111111-1-1-1-1-1-11111-1-11-1-11
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-111-11-1-1-1-1111111-1-1-1-1111-1-11
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1-1-1-1-11111-1-11111-1-1-111-1
χ172222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-12-1-122-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220002200000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000-2-200000000000111111110000
χ212222222-2-2222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-1111111110000000002-20002-20000000000000000-11-11
χ222222222-2-2222-2-2-2-2-222-2-22-12-1-122-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-111111111000000000-22000-2200000000000000001-11-1
χ232222222-2-2222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111000022-2-20002-200000000000-1-1-1-111110000
χ242222222-2-2222-2-2-2-2-222-2-2-12-122-1-12-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-1111111110000-2-222000-22000000000001111-1-1-1-10000
χ2522222-2-2222222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1111122-1-1-2-21111-1-1-1-1111100000000022000-2-20000000000000000-1-111
χ2622222-2-2222222222-2-2-2-2-22-12-1-122-1-2-2-2-2-1-1-1-1111122-1-1-2-21111-1-1-1-11111000000000-2-200022000000000000000011-1-1
χ2722222-2-2222222222-2-2-2-2-2-12-122-1-121111-1-1-1-1-2-2-2-2-1-122111111-1-1-1-1111100002222000-2-200000000000-1-111-1-1110000
χ2822222-2-2222222222-2-2-2-2-2-12-122-1-121111-1-1-1-1-2-2-2-2-1-122111111-1-1-1-111110000-2-2-2-2000220000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-10000000002-2000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-22-2-2222-12-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2112211111111-1-1-1-1000000000-220002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-1000022-2-2000-2200000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-122-1-121111-1-1-1-1-2-22211-2-2-1-111111111-1-1-1-10000-2-2220002-20000000000011-1-1-1-1110000
χ332-22-222i−2i002-2-2000002i−2i0022-22-22-2-22i2i−2i−2i22-2-22i−2i000000002i2i−2i−2i000000002-22i−2i0000000000002-2002i−2i00000000000000
χ342-22-222i−2i002-2-2000002i−2i0022-22-22-2-22i2i−2i−2i22-2-22i−2i000000002i2i−2i−2i00000000-22−2i2i000000000000-2200−2i2i00000000000000
χ352-22-22−2i2i002-2-200000−2i2i0022-22-22-2-2−2i−2i2i2i22-2-2−2i2i00000000−2i−2i2i2i000000002-2−2i2i0000000000002-200−2i2i00000000000000
χ362-22-22−2i2i002-2-200000−2i2i0022-22-22-2-2−2i−2i2i2i22-2-2−2i2i00000000−2i−2i2i2i00000000-222i−2i000000000000-22002i−2i00000000000000
χ372-2-222002-2-2-2222-2-20000022-2-2-2-22200002-22-200002-22-200000022-2-2000000002-22-200000000000000002-2002-2000000
χ382-2-222002-2-2-2222-2-20000022-2-2-2-22200002-22-200002-22-200000022-2-200000000-22-220000000000000000-2200-22000000
χ392-2-222002-2-2-2222-2-200000-121-2-21-123−33−3-11-110000-112-23−33−33−3-1-11133−3−300002-22-20000000000000000-113−3-113−30000
χ402-2-222002-2-2-2222-2-200000-121-2-21-123−33−3-11-110000-112-23−33−33−3-1-11133−3−30000-22-2200000000000000001-1−331-1−330000
χ412-2-222002-2-2-2222-2-200000-121-2-21-12−33−33-11-110000-112-2−33−33−33-1-111−3−33300002-22-20000000000000000-11−33-11−330000
χ422-2-222002-2-2-2222-2-200000-121-2-21-12−33−33-11-110000-112-2−33−33−33-1-111−3−3330000-22-2200000000000000001-13−31-13−30000
χ432-2-22200-22-2-22-2-2220000022-2-2-2-22200002-22-20000-22-22000000-2-222000000002-2-2200000000000000002-200-22000000
χ442-2-22200-22-2-22-2-2220000022-2-2-2-22200002-22-20000-22-22000000-2-22200000000-222-20000000000000000-22002-2000000
χ452-2-22200-22-2-22-2-22200000-121-2-21-123−33−3-11-1100001-1-22−333−33−311-1-1−3−33300002-2-220000000000000000-113−31-1−330000
χ462-2-22200-22-2-22-2-22200000-121-2-21-123−33−3-11-1100001-1-22−333−33−311-1-1−3−3330000-222-200000000000000001-1−33-113−30000
χ472-2-22200-22-2-22-2-22200000-121-2-21-12−33−33-11-1100001-1-223−3−33−3311-1-133−3−300002-2-220000000000000000-11−331-13−30000
χ482-2-22200-22-2-22-2-22200000-121-2-21-12−33−33-11-1100001-1-223−3−33−3311-1-133−3−30000-222-200000000000000001-13−3-11−330000
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
χ5144444-4-4444444444-4-4-4-4-4-2-2-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
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
χ5344-4-440000-44-4000000000444-44-4-4-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-440000-44-40000000004-242-2-4-420000-222-20023−230000000000000023−2323−23000000000000000000000000000000000000
χ5544-4-440000-44-40000000004-242-2-4-420000-222-200−232300000000000000−2323−2323000000000000000000000000000000000000
χ5644-4-440000-44-4000000000-24-2-4422-4−2i32i32i3−2i3-222-20000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ5744-4-440000-44-4000000000-24-2-4422-42i3−2i3−2i32i3-222-200000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ5844-4-440000-44-4000000000-2-2-22-2222−2i32i32i3−2i31-1-110023−23000000i3−i3−i3i33i−3i3i−3i−33−33000000000000000000000000000000000000
χ5944-4-440000-44-4000000000-2-2-22-2222−2i32i32i3−2i31-1-1100−2323000000i3−i3−i3i3−3i3i−3i3i3−33−3000000000000000000000000000000000000
χ6044-4-440000-44-4000000000-2-2-22-22222i3−2i3−2i32i31-1-110023−23000000−i3i3i3−i3−3i3i−3i3i−33−33000000000000000000000000000000000000
χ6144-4-440000-44-4000000000-2-2-22-22222i3−2i3−2i32i31-1-1100−2323000000−i3i3i3−i33i−3i3i−3i3−33−3000000000000000000000000000000000000
χ624-44-444i−4i004-4-4000004i−4i004-2-4-224-424i4i−4i−4i-2-222−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ634-44-444i−4i004-4-4000004i−4i00-2424-4-22-4−2i−2i2i2i-2-2224i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ644-44-444i−4i004-4-4000004i−4i00-2-22-22-222−2i−2i2i2i11-1-1−2i2i00000000ii−i−i3i−3i−3i3i3-3-33000000000000000000000000000000000000
χ654-44-444i−4i004-4-4000004i−4i00-2-22-22-222−2i−2i2i2i11-1-1−2i2i00000000ii−i−i−3i3i3i−3i-333-3000000000000000000000000000000000000
χ664-44-44−4i4i004-4-400000−4i4i004-2-4-224-42−4i−4i4i4i-2-2222i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ674-44-44−4i4i004-4-400000−4i4i00-2424-4-22-42i2i−2i−2i-2-222−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ684-44-44−4i4i004-4-400000−4i4i00-2-22-22-2222i2i−2i−2i11-1-12i−2i00000000−i−iii3i−3i−3i3i-333-3000000000000000000000000000000000000
χ694-44-44−4i4i004-4-400000−4i4i00-2-22-22-2222i2i−2i−2i11-1-12i−2i00000000−i−iii−3i3i3i−3i3-3-33000000000000000000000000000000000000
χ704-4-444004-4-4-4444-4-4000004-2-422-44-20000-22-2200004-4-22000000-2-2220000000000000000000000000000000000000000
χ714-4-444004-4-4-4444-4-400000-2-22222-2-223−2323−231-11-10000-22-2223−23−33−3311-1-1−3−333000000000000000000000000000000000000
χ724-4-444004-4-4-4444-4-400000-2-22222-2-2−2323−23231-11-10000-22-22−23233−33−311-1-133−3−3000000000000000000000000000000000000
χ734-4-44400-44-4-44-4-444000004-2-422-44-20000-22-220000-442-200000022-2-20000000000000000000000000000000000000000
χ744-4-44400-44-4-44-4-44400000-2-22222-2-223−2323−231-11-100002-22-2−2323−33−33-1-11133−3−3000000000000000000000000000000000000
χ754-4-44400-44-4-44-4-44400000-2-22222-2-2−2323−23231-11-100002-22-223−233−33−3-1-111−3−333000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000020000200-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-20000-20000-20011111111000000000000
χ786666-366-6-6-3-3-33333-6-3-3330000000000000000000000000000000000000022220000-20000-200-1-111-1-111000000000000
χ796666-366-6-6-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-200002000020011-1-111-1-1000000000000
χ806666-3-6-666-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-20000-20000200-1-11111-1-1000000000000
χ816666-3-6-666-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-222000020000-20011-1-1-1-111000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-2000020000-200-1-1-1-11111000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-2220000-200002001111-1-1-1-1000000000000
χ846-66-6-36i−6i00-33333−3333−330−3i3i−3i33i3000000000000000000000000000000000000002-22i−2i000000000000-11−i3i3−ii3−3000000000000
χ856-66-6-36i−6i00-33333−3333−330−3i3i−3i33i300000000000000000000000000000000000000-22−2i2i0000000000001-1i3−i3i−i−33000000000000
χ866-66-6-36i−6i00-333−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000002-22i−2i000000000000-11i3−i3−ii−33000000000000
χ876-66-6-36i−6i00-333−3333−33330−3i3i3i3−3i300000000000000000000000000000000000000-22−2i2i0000000000001-1−i3i3i−i3−3000000000000
χ886-66-6-3−6i6i00-33333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000002-2−2i2i000000000000-11i3−i3i−i3−3000000000000
χ896-66-6-3−6i6i00-33333−3333−3303i−3i3i3−3i300000000000000000000000000000000000000-222i−2i0000000000001-1−i3i3−ii−33000000000000
χ906-66-6-3−6i6i00-333−3333−333303i−3i−3i33i3000000000000000000000000000000000000002-2−2i2i000000000000-11−i3i3i−i−33000000000000
χ916-66-6-3−6i6i00-333−3333−333303i−3i−3i33i300000000000000000000000000000000000000-222i−2i0000000000001-1i3−i3−ii3−3000000000000
χ921212-12-12-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-60012-1266-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600-121266-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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