Finite Group Databasebeta

← Group #13147769

Character table — Group #13147769

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212412121212336666661212121236661212121212121212121212121212121212121212121244444444444444441212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-111-11-11-1-111-1-11111-1-111-1-1-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-1111-1-111-1-1-1-111-1-111-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
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
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-111-11-1-11111-1-111-1-1-1-111-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1111-1-1-1-111-1-11111-1-1-111-1
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
χ19222222222222222222222-12-12-1-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000002200000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-12-12-1-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-200000000000111111110000
χ212222222-2-22222222-2-2-2-2-22-12-122-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-11111111100000000022000-2-2000000000000000011-1-1
χ222222222-2-22222222-2-2-2-2-22-12-122-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-111111111000000000-2-2000220000000000000000-1-111
χ232222222-2-22222222-2-2-2-2-2-12-12-1-1221111-1-1-1-122-1-1-2-211-2-2-1-1-1-11111111122220000000-2-200000000000-1-1-1-111110000
χ242222222-2-22222222-2-2-2-2-2-12-12-1-1221111-1-1-1-122-1-1-2-211-2-2-1-1-1-111111111-2-2-2-2000000022000000000001111-1-1-1-10000
χ2522222-2-222222-2-2-2-2-222-2-22-12-122-1-12222-1-1-1-111-2-2-1-1-2-2111111-1-1-1-111110000000002-20002-20000000000000000-11-11
χ2622222-2-222222-2-2-2-2-222-2-22-12-122-1-12222-1-1-1-111-2-2-1-1-2-2111111-1-1-1-11111000000000-22000-2200000000000000001-11-1
χ2722222-2-222222-2-2-2-2-222-2-2-12-12-1-122-1-1-1-1-1-1-1-1-2-2112211-2-21111-1-1-1-1111122-2-200000002-200000000000-1-111-1-1110000
χ2822222-2-222222-2-2-2-2-222-2-2-12-12-1-122-1-1-1-1-1-1-1-1-2-2112211-2-21111-1-1-1-11111-2-2220000000-220000000000011-1-111-1-10000
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
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-12-1-1221111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-122-2-20000000-2200000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-12-1-1221111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-1-2-22200000002-20000000000011-1-1-1-1110000
χ3322-2-222-2002-2-222-2-20000022-222-2-2-2000022-2-22-22-200000022-2-2000000002-22-2000000000000000000002-22-200000000
χ3422-2-222-2002-2-222-2-20000022-222-2-2-2000022-2-22-22-200000022-2-200000000-22-2200000000000000000000-22-2200000000
χ3522-2-222-2002-2-222-2-200000-1212-11-2-233−3−3-1-1112-2-11003−300-1-11133−3−333−3−32-22-200000000000000000000-11-113−33−30000
χ3622-2-222-2002-2-222-2-200000-1212-11-2-233−3−3-1-1112-2-11003−300-1-11133−3−333−3−3-22-22000000000000000000001-11-1−33−330000
χ3722-2-222-2002-2-222-2-200000-1212-11-2-2−3−333-1-1112-2-1100−3300-1-111−3−333−3−3332-22-200000000000000000000-11-11−33−330000
χ3822-2-222-2002-2-222-2-200000-1212-11-2-2−3−333-1-1112-2-1100−3300-1-111−3−333−3−333-22-22000000000000000000001-11-13−33−30000
χ3922-2-22-22002-2-2-2-2220000022-222-2-2-2000022-2-2-22-22000000-2-222000000002-2-22000000000000000000002-2-2200000000
χ4022-2-22-22002-2-2-2-2220000022-222-2-2-2000022-2-2-22-22000000-2-22200000000-222-200000000000000000000-222-200000000
χ4122-2-22-22002-2-2-2-22200000-1212-11-2-233−3−3-1-111-221-100−330011-1-133−3−3−3−3332-2-2200000000000000000000-111-13−3−330000
χ4222-2-22-22002-2-2-2-22200000-1212-11-2-233−3−3-1-111-221-100−330011-1-133−3−3−3−333-222-2000000000000000000001-1-11−333−30000
χ4322-2-22-22002-2-2-2-22200000-1212-11-2-2−3−333-1-111-221-1003−30011-1-1−3−33333−3−32-2-2200000000000000000000-111-1−333−30000
χ4422-2-22-22002-2-2-2-22200000-1212-11-2-2−3−333-1-111-221-1003−30011-1-1−3−33333−3−3-222-2000000000000000000001-1-113−3−330000
χ452-2-222002i−2i-22-2000002i−2i0022-2-2-222-22i−2i2i−2i2-22-200002i−2i000000002i−2i2i−2i000000002i−2i2-2000000002i−2i002-200000000000000
χ462-2-222002i−2i-22-2000002i−2i0022-2-2-222-22i−2i2i−2i2-22-200002i−2i000000002i−2i2i−2i00000000−2i2i-2200000000−2i2i00-2200000000000000
χ472-2-22200−2i2i-22-200000−2i2i0022-2-2-222-2−2i2i−2i2i2-22-20000−2i2i00000000−2i2i−2i2i000000002i−2i-22000000002i−2i00-2200000000000000
χ482-2-22200−2i2i-22-200000−2i2i0022-2-2-222-2−2i2i−2i2i2-22-20000−2i2i00000000−2i2i−2i2i00000000−2i2i2-200000000−2i2i002-200000000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-2-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-211112222-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
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
χ5344-4-444-4004-4-444-4-4000004-2-4-24-4220000-2-222-224-4000000-2-22200000000000000000000000000000000000000000000
χ5444-4-444-4004-4-444-4-400000-2-22-2-22222323−23−2311-1-1-22-220023−230011-1-1−3−333−3−333000000000000000000000000000000000000
χ5544-4-444-4004-4-444-4-400000-2-22-2-2222−23−23232311-1-1-22-2200−23230011-1-133−3−333−3−3000000000000000000000000000000000000
χ5644-4-44-44004-4-4-4-444000004-2-4-24-4220000-2-2222-2-4400000022-2-200000000000000000000000000000000000000000000
χ5744-4-44-44004-4-4-4-44400000-2-22-2-22222323−23−2311-1-12-22-200−232300-1-111−3−33333−3−3000000000000000000000000000000000000
χ5844-4-44-44004-4-4-4-44400000-2-22-2-2222−23−23232311-1-12-22-20023−2300-1-11133−3−3−3−333000000000000000000000000000000000000
χ594-44-440000-4-44000000000444-4-4-4-4400004-4-440000000000000000000000000000000000000000000000000000000000
χ604-44-440000-4-440000000004-242-4-42-20000-222-20000000023−230000000023−2323−23000000000000000000000000000000000000
χ614-44-440000-4-440000000004-242-4-42-20000-222-200000000−232300000000−2323−2323000000000000000000000000000000000000
χ624-44-440000-4-44000000000-24-2-422-44−2i32i32i3−2i3-222-200000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ634-44-440000-4-44000000000-24-2-422-442i3−2i3−2i32i3-222-2000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ644-44-440000-4-44000000000-2-2-22222-2−2i32i32i3−2i31-1-110000000023−233i−3i3i−3ii3−i3−i3i3−33−33000000000000000000000000000000000000
χ654-44-440000-4-44000000000-2-2-22222-2−2i32i32i3−2i31-1-1100000000−2323−3i3i−3i3ii3−i3−i3i33−33−3000000000000000000000000000000000000
χ664-44-440000-4-44000000000-2-2-22222-22i3−2i3−2i32i31-1-110000000023−23−3i3i−3i3i−i3i3i3−i3−33−33000000000000000000000000000000000000
χ674-44-440000-4-44000000000-2-2-22222-22i3−2i3−2i32i31-1-1100000000−23233i−3i3i−3i−i3i3i3−i33−33−3000000000000000000000000000000000000
χ684-4-444004i−4i-44-4000004i−4i004-2-42-44-224i−4i4i−4i-22-220000−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ694-4-444004i−4i-44-4000004i−4i00-242-42-24-4−2i2i−2i2i-22-2200004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ704-4-444004i−4i-44-4000004i−4i00-2-2222-2-22−2i2i−2i2i1-11-10000−2i2i00003i−3i−3i3ii−ii−i3-3-33000000000000000000000000000000000000
χ714-4-444004i−4i-44-4000004i−4i00-2-2222-2-22−2i2i−2i2i1-11-10000−2i2i0000−3i3i3i−3ii−ii−i-333-3000000000000000000000000000000000000
χ724-4-44400−4i4i-44-400000−4i4i004-2-42-44-22−4i4i−4i4i-22-2200002i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ734-4-44400−4i4i-44-400000−4i4i00-242-42-24-42i−2i2i−2i-22-220000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ744-4-44400−4i4i-44-400000−4i4i00-2-2222-2-222i−2i2i−2i1-11-100002i−2i00003i−3i−3i3i−ii−ii-333-3000000000000000000000000000000000000
χ754-4-44400−4i4i-44-400000−4i4i00-2-2222-2-222i−2i2i−2i1-11-100002i−2i0000−3i3i3i−3i−ii−ii3-3-33000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000222220000200-1-1-1-1-1-1-1-1000000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2-20000-20011111111000000000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-2-20000200-1-1-1-11111000000000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-22220000-2001111-1-1-1-1000000000000
χ806666-3-6-666-3-3-33333-6-3-3330000000000000000000000000000000000000000002222-20000-200-1-111-1-111000000000000
χ816666-3-6-666-3-3-33333-6-3-333000000000000000000000000000000000000000000-2-2-2-22000020011-1-111-1-1000000000000
χ826666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000000022-2-220000-200-1-11111-1-1000000000000
χ836666-3-6-6-6-6-3-3-33333633-3-3000000000000000000000000000000000000000000-2-222-2000020011-1-1-1-111000000000000
χ846-6-66-3006i−6i3-3333−3333−330−3i3i−3i33i30000000000000000000000000000000000000000002i−2i2-200000000−ii−i3i3-113−3000000000000
χ856-6-66-3006i−6i3-3333−3333−330−3i3i−3i33i3000000000000000000000000000000000000000000−2i2i-2200000000i−ii3−i31-1−33000000000000
χ866-6-66-3006i−6i3-33−3333−33330−3i3i3i3−3i30000000000000000000000000000000000000000002i−2i2-200000000−iii3−i3-11−33000000000000
χ876-6-66-3006i−6i3-33−3333−33330−3i3i3i3−3i3000000000000000000000000000000000000000000−2i2i-2200000000i−i−i3i31-13−3000000000000
χ886-6-66-300−6i6i3-3333−3333−3303i−3i3i3−3i30000000000000000000000000000000000000000002i−2i-2200000000−ii−i3i31-1−33000000000000
χ896-6-66-300−6i6i3-3333−3333−3303i−3i3i3−3i3000000000000000000000000000000000000000000−2i2i2-200000000i−ii3−i3-113−3000000000000
χ906-6-66-300−6i6i3-33−3333−333303i−3i−3i33i30000000000000000000000000000000000000000002i−2i-2200000000−iii3−i31-13−3000000000000
χ916-6-66-300−6i6i3-33−3333−333303i−3i−3i33i3000000000000000000000000000000000000000000−2i2i2-200000000i−i−i3i3-11−33000000000000
χ921212-12-12-612-1200-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6-121200-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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