Finite Group Databasebeta

← Group #13150855

Character table — Group #13150855

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212122661212336666661212121236666666666612121212121212121212121212122244444422444444661212121212121212121212121212661212
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
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111111111-11-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-11111-1-111
χ911111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-11-1-1-11-11-11111-1-1-1-111-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-111-11-1-1-11-111111-1-1-1-1-1-111-1-111-11-11
χ1111111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-11111-1-11-1-1-1-1111111-1-111-1-1-11-11
χ1211111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-111-111-1-1-1-1-11111-1-111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111-111-1-111-1-111-1-1-1-111-111-1
χ1411111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1111-1-111-1-1-1-11111-1-11-1-11
χ1511111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-11-11-1-111-1-11111-1-1-1-1111-1-11
χ1611111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11-11-1-1-111-1-111-1-11111-1-1-111-1
χ172222222222222222222222-1-12-122-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000220000220000000000000000-1-1-1-1
χ182222222222222222222222-1-12-122-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000-2-200000000000000001111
χ19222222222222222222222-122-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000220000000000-1-1-1-1-1-1-1-10000
χ20222222222222222222222-122-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000000111111110000
χ212222222-2-22222222-2-2-2-2-22-1-12-122-1-2-2-2-2-1-2-211-1-11111-122-1-111-1-1-1-1111100000000220000-2-20000000000000000-1-111
χ222222222-2-22222222-2-2-2-2-22-1-12-122-1-2-2-2-2-1-2-211-1-11111-122-1-111-1-1-1-1111100000000-2-2000022000000000000000011-1-1
χ232222222-2-22222222-2-2-2-2-2-122-12-1-121111-111-2-2-1-11111-1-1-122-2-2-1-1-1-11111000022220000-2-20000000000-1-1-1-111110000
χ242222222-2-22222222-2-2-2-2-2-122-12-1-121111-111-2-2-1-11111-1-1-122-2-2-1-1-1-111110000-2-2-2-200002200000000001111-1-1-1-10000
χ2522222-2-222222-2-2-2-2-2-2-2222-1-12-122-12222-1-2-211-1-11111-1-2-211-1-11111-1-1-1-1000000002-200002-20000000000000000-11-11
χ2622222-2-222222-2-2-2-2-2-2-2222-1-12-122-12222-1-2-211-1-11111-1-2-211-1-11111-1-1-1-100000000-220000-2200000000000000001-11-1
χ2722222-2-222222-2-2-2-2-2-2-222-122-12-1-12-1-1-1-1-111-2-2-1-11111-111-2-2221111-1-1-1-1000022-2-200002-20000000000-1-111-1-1110000
χ2822222-2-222222-2-2-2-2-2-2-222-122-12-1-12-1-1-1-1-111-2-2-1-11111-111-2-2221111-1-1-1-10000-2-2220000-22000000000011-1-111-1-10000
χ2922222-2-2-2-2222-2-2-2-2222-2-22-1-12-122-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2111111111111000000002-20000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-2222-2-22-1-12-122-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-211111111111100000000-2200002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-2222-2-2-122-12-1-121111-1-1-122-1-1-1-1-1-1-111-2-2-2-211111111000022-2-20000-220000000000-1-11111-1-10000
χ3222222-2-2-2-2222-2-2-2-2222-2-2-122-12-1-121111-1-1-122-1-1-1-1-1-1-111-2-2-2-2111111110000-2-22200002-2000000000011-1-1-1-1110000
χ3322-2-222-200-2-2222-2-20000022-222-2-2-2000020000-2-2000022-22-20022-2-2000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ3422-2-222-200-2-2222-2-20000022-222-2-2-2000020000-2-2000022-22-20022-2-200000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ3522-2-222-200-2-2222-2-200000-12-2-1211-2−i3−i3i3i3-1−i3i30011−i3−i3i3i3-1-112-200-1-111−i3−i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ3622-2-222-200-2-2222-2-200000-12-2-1211-2−i3−i3i3i3-1−i3i30011−i3−i3i3i3-1-112-200-1-111−i3−i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ3722-2-222-200-2-2222-2-200000-12-2-1211-2i3i3−i3−i3-1i3−i30011i3i3−i3−i3-1-112-200-1-111i3i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ3822-2-222-200-2-2222-2-200000-12-2-1211-2i3i3−i3−i3-1i3−i30011i3i3−i3−i3-1-112-200-1-111i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ3922-2-22-2200-2-22-2-2220000022-222-2-2-2000020000-2-200002-22-2200-2-222000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-22-2200-2-22-2-2220000022-222-2-2-2000020000-2-200002-22-2200-2-22200000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-22-2200-2-22-2-22200000-12-2-1211-2−i3−i3i3i3-1i3−i30011i3i3−i3−i3-11-1-220011-1-1−i3−i3i3i300002i−2i−2i2i0000000000000000−iii−i3−3−330000
χ4222-2-22-2200-2-22-2-22200000-12-2-1211-2−i3−i3i3i3-1i3−i30011i3i3−i3−i3-11-1-220011-1-1−i3−i3i3i30000−2i2i2i−2i0000000000000000i−i−ii−333−30000
χ4322-2-22-2200-2-22-2-22200000-12-2-1211-2i3i3−i3−i3-1−i3i30011−i3−i3i3i3-11-1-220011-1-1i3i3−i3−i300002i−2i−2i2i0000000000000000−iii−i−333−30000
χ4422-2-22-2200-2-22-2-22200000-12-2-1211-2i3i3−i3−i3-1−i3i30011−i3−i3i3i3-11-1-220011-1-1i3i3−i3−i30000−2i2i2i−2i0000000000000000i−i−ii3−3−330000
χ452-22-22002i−2i2-2-200000002i−2i222-2-22-2-22i−2i2i−2i200002-20000-200002i−2i00002i−2i2i−2i2-22i−2i0000000000002-22i−2i0000000000000000
χ462-22-22002i−2i2-2-200000002i−2i222-2-22-2-22i−2i2i−2i200002-20000-200002i−2i00002i−2i2i−2i-22−2i2i000000000000-22−2i2i0000000000000000
χ472-22-2200−2i2i2-2-20000000−2i2i222-2-22-2-2−2i2i−2i2i200002-20000-20000−2i2i0000−2i2i−2i2i2-2−2i2i0000000000002-2−2i2i0000000000000000
χ482-22-2200−2i2i2-2-20000000−2i2i222-2-22-2-2−2i2i−2i2i200002-20000-20000−2i2i0000−2i2i−2i2i-222i−2i000000000000-222i−2i0000000000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-2-2-2221111-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-4444-4-4-2-2-2-2-2-2-2-222221-2-2-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5344-4-444-400-4-4444-4-4000004-224-2-4-420000-20000220000-24-4-2200-2-2220000000000000000000000000000000000000000
χ5444-4-444-400-4-4444-4-400000-2-22-2-2222−2i3−2i32i32i31−2i32i300-1-1i3i3−i3−i31-22-220011-1-1i3i3−i3−i3000000000000000000000000000000000000
χ5544-4-444-400-4-4444-4-400000-2-22-2-22222i32i3−2i3−2i312i3−2i300-1-1−i3−i3i3i31-22-220011-1-1−i3−i3i3i3000000000000000000000000000000000000
χ5644-4-44-4400-4-44-4-444000004-224-2-4-420000-20000220000-2-442-20022-2-20000000000000000000000000000000000000000
χ5744-4-44-4400-4-44-4-44400000-2-22-2-2222−2i3−2i32i32i312i3−2i300-1-1−i3−i3i3i312-22-200-1-111i3i3−i3−i3000000000000000000000000000000000000
χ5844-4-44-4400-4-44-4-44400000-2-22-2-22222i32i3−2i3−2i31−2i32i300-1-1i3i3−i3−i312-22-200-1-111−i3−i3i3i3000000000000000000000000000000000000
χ594-44-44004i−4i4-4-400000004i−4i4-2-2-424-424i−4i4i−4i-20000-22000020000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000
χ604-44-44004i−4i4-4-400000004i−4i-2442-4-22-4−2i2i−2i2i-20000-220000200004i−4i0000−2i2i−2i2i000000000000000000000000000000000000
χ614-44-44004i−4i4-4-400000004i−4i-2-2-222-222−2i2i−2i2i100001-13-33-3-10000−2i2i3i−3i3i−3ii−ii−i000000000000000000000000000000000000
χ624-44-44004i−4i4-4-400000004i−4i-2-2-222-222−2i2i−2i2i100001-1-33-33-10000−2i2i−3i3i−3i3ii−ii−i000000000000000000000000000000000000
χ634-44-4400−4i4i4-4-40000000−4i4i4-2-2-424-42−4i4i−4i4i-20000-220000200002i−2i00002i−2i2i−2i000000000000000000000000000000000000
χ644-44-4400−4i4i4-4-40000000−4i4i-2442-4-22-42i−2i2i−2i-20000-22000020000−4i4i00002i−2i2i−2i000000000000000000000000000000000000
χ654-44-4400−4i4i4-4-40000000−4i4i-2-2-222-2222i−2i2i−2i100001-13-33-3-100002i−2i−3i3i−3i3i−ii−ii000000000000000000000000000000000000
χ664-44-4400−4i4i4-4-40000000−4i4i-2-2-222-2222i−2i2i−2i100001-1-33-33-100002i−2i3i−3i3i−3i−ii−ii000000000000000000000000000000000000
χ674-4-4440000-44-400000000044-4-4-4-444000040000-440000-400000000000000000000000000000000000000000000000000
χ684-4-4440000-44-40000000004-22-42-44-20000-200−2i32i32-2−2i32i32i3−2i3200000000000000000000000000000000000000000000000000
χ694-4-4440000-44-40000000004-22-42-44-20000-2002i3−2i32-22i3−2i3−2i32i3200000000000000000000000000000000000000000000000000
χ704-4-4440000-44-4000000000-24-42-42-2423−23−2323-200002-200002000000000023−23−2323000000000000000000000000000000000000
χ714-4-4440000-44-4000000000-24-42-42-24−232323−23-200002-2000020000000000−232323−23000000000000000000000000000000000000
χ724-4-4440000-44-4000000000-2-22222-2-223−23−2323100−2i32i3-11i3−i3−i3i3-1000000−3i3i3i−3i−333−3000000000000000000000000000000000000
χ734-4-4440000-44-4000000000-2-22222-2-223−23−23231002i3−2i3-11−i3i3i3−i3-10000003i−3i−3i3i−333−3000000000000000000000000000000000000
χ744-4-4440000-44-4000000000-2-22222-2-2−232323−23100−2i32i3-11i3−i3−i3i3-10000003i−3i−3i3i3−3−33000000000000000000000000000000000000
χ754-4-4440000-44-4000000000-2-22222-2-2−232323−231002i3−2i3-11−i3i3i3−i3-1000000−3i3i3i−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
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-20000002-20000-1-11111-1-1000000000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-222000000-22000011-1-1-1-111000000000000
χ806666-3-6-666-3-3-33333-633-3-3000000000000000000000000000000000000002222000000-2-20000-1-1-1-11111000000000000
χ816666-3-6-666-3-3-33333-633-3-300000000000000000000000000000000000000-2-2-2-20000002200001111-1-1-1-1000000000000
χ826666-3-6-6-6-6-3-3-333336-3-3330000000000000000000000000000000000000022-2-2000000-220000-1-111-1-111000000000000
χ836666-3-6-6-6-6-3-3-333336-3-33300000000000000000000000000000000000000-2-2220000002-2000011-1-111-1-1000000000000
χ846-66-6-3006i−6i-33333−3333−330−3i33i3−3i3i000000000000000000000000000000000000002-22i−2i000000000000-11−ii−i3i33−3000000000000
χ856-66-6-3006i−6i-33333−3333−330−3i33i3−3i3i00000000000000000000000000000000000000-22−2i2i0000000000001-1i−ii3−i3−33000000000000
χ866-66-6-3006i−6i-333−3333−333303i3−3i3−3i3i000000000000000000000000000000000000002-22i−2i000000000000-11−iii3−i3−33000000000000
χ876-66-6-3006i−6i-333−3333−333303i3−3i3−3i3i00000000000000000000000000000000000000-22−2i2i0000000000001-1i−i−i3i33−3000000000000
χ886-66-6-300−6i6i-33333−3333−3303i3−3i33i−3i000000000000000000000000000000000000002-2−2i2i000000000000-11i−ii3−i33−3000000000000
χ896-66-6-300−6i6i-33333−3333−3303i3−3i33i−3i00000000000000000000000000000000000000-222i−2i0000000000001-1−ii−i3i3−33000000000000
χ906-66-6-300−6i6i-333−3333−33330−3i33i33i−3i000000000000000000000000000000000000002-2−2i2i000000000000-11i−i−i3i3−33000000000000
χ916-66-6-300−6i6i-333−3333−33330−3i33i33i−3i00000000000000000000000000000000000000-222i−2i0000000000001-1−iii3−i33−3000000000000
χ921212-12-12-612-120066-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6-12120066-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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