Finite Group Databasebeta

← Group #72271765

Character table — Group #72271765

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222222244444444444488888121216161616161616161616161616161616161616161616162424242424242424242424323232323232323232484848484848484896
order12222344446886668881212121224242424242422244468881216161616242448484848484848484444444888846121212121224242444161616168
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111111-11111-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-11
χ411111111111111111111111111111111-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ5111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ7111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1111111-1
χ8111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ91111111111111111111111111-1-11111111-1-1-1-111-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-11
χ101111111111111111111111111-1-11111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1111-1-111-1-11111-1-111-1
χ111111111111111111111111111-1-111111-1-111-1-111-111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ121111111111111111111111111-1-111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1111111-1-11-1-11111-1-111-1-111-1-1-1
χ131111111111111111111111111-1-1111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1111111-1-111-111-1-1-1-11111-1-1-1-111-1
χ141111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-111111-1-111-1-1-1-1-1-111-1-11
χ151111111111111111111111111-1-1111-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1
χ161111111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1111
χ1722222222222-2-2222-2-2-22222-2-222-2-2-22200002-20020000-2-2000000002220000-2-2-2-2000000000000000000
χ1822222222222-2-2222-2-2-22222-2-222-2-2-2-2-200002-20020000-2-200000000-2-2-200002222000000000000000000
χ1922222222222-2-2222-2-2-22222-2-2-2-2-2-2-2220000-2200-2000022000000002-2-20000-2-222000000000000000000
χ2022222222222-2-2222-2-2-22222-2-2-2-2-2-2-2-2-20000-2200-200002200000000-222000022-2-2000000000000000000
χ2122222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1002222-1222-12222-1-1-1-1-1-1-1-1-1-1000000000002-1-1-1-1-1-1-1-1000000000
χ2222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1002222-12-2-2-1-2-2-2-2-1-11111111100000000000-2-1-1-1-11111000000000
χ2322222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-100-2-2-2-2-1222-1-2-2-2-2-1-1111111110000000000021111-1-1-1-1000000000
χ2422222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-100-2-2-2-2-12-2-2-12222-1-1-1-1-1-1-1-1-1-100000000000-211111111000000000
χ2522222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-10022-2-21-2221-2-222111111-1-1-1-100000000000-2-1-11111-1-1000000000
χ2622222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-10022-2-21-2-2-2122-2-211-1-1-1-11111000000000002-1-111-1-111000000000
χ2722222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-100-2-2221-222122-2-211-1-1-1-1111100000000000-211-1-111-1-1000000000
χ2822222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-100-2-2221-2-2-21-2-222111111-1-1-1-100000000000211-1-1-1-111000000000
χ29222-2-2222-2-22222-2-2-2-222-22-222002-2-2000000002i−2i0000000000000000002i2i−2i−2i000000000002i−2i0000002-20
χ30222-2-2222-2-22222-2-2-2-222-22-222002-2-2000000002i−2i000000000000000000−2i−2i2i2i000000000002i−2i000000-220
χ31222-2-2222-2-22222-2-2-2-222-22-222002-2-200000000−2i2i0000000000000000002i2i−2i−2i00000000000−2i2i000000-220
χ32222-2-2222-2-22222-2-2-2-222-22-222002-2-200000000−2i2i000000000000000000−2i−2i2i2i00000000000−2i2i0000002-20
χ3322-22-22-22-222-2-2-22-22-22-222-2-2-20022-200000000000002i−2i0000002i2i−2i−2i0002i−2i2i−2i00000000000002-20000000
χ3422-22-22-22-222-2-2-22-22-22-222-2-2-20022-200000000000002i−2i0000002i2i−2i−2i000−2i2i−2i2i0000000000000-220000000
χ3522-22-22-22-222-2-2-22-22-22-222-2-2-20022-20000000000000−2i2i000000−2i−2i2i2i0002i−2i2i−2i0000000000000-220000000
χ3622-22-22-22-222-2-2-22-22-22-222-2-2-20022-20000000000000−2i2i000000−2i−2i2i2i000−2i2i−2i2i00000000000002-20000000
χ3722-2-222-222-2222-2-222-2-2-2-2222200-22-200002-2000000000000000000002-20000002-20002-20000002-200000
χ3822-2-222-222-2222-2-222-2-2-2-2222200-22-200002-200000000000000000000-22000000-220002-2000000-2200000
χ3922-2-222-222-2222-2-222-2-2-2-2222200-22-20000-22000000000000000000002-20000002-2000-22000000-2200000
χ4022-2-222-222-2222-2-222-2-2-2-2222200-22-20000-2200000000000000000000-22000000-22000-220000002-200000
χ4122-2-222-222-22-2-2-2-22-222-2-222-2-2002-22002-200000000000000000000002-22-2-2200-2202-2000000000000000
χ4222-2-222-222-22-2-2-2-22-222-2-222-2-2002-22002-20000000000000000000000-22-222-2002-202-2000000000000000
χ4322-2-222-222-22-2-2-2-22-222-2-222-2-2002-2200-2200000000000000000000002-2-222-200-220-22000000000000000
χ4422-2-222-222-22-2-2-2-22-222-2-222-2-2002-2200-220000000000000000000000-222-2-22002-20-22000000000000000
χ45444444-4-4-4-4400444000-4-4-4-400000004400000000000000000000000-40000000000000000000000000000
χ46444444-4-4-4-4400444000-4-4-4-40000000-4-40000000000000000000000040000000000000000000000000000
χ4744444-24444-2-4-4-2-2-2-4-4-4-2-2-2-22244222000000-2-400-20000220000000000000000000000000000000000000
χ4844444-24444-2-4-4-2-2-2-4-4-4-2-2-2-222-4-4222000000240020000-2-20000000000000000000000000000000000000
χ49444-4-4444-4-44-4-44-4-444-44-44-4-4-400-444000000000000000000000000000000000000000000000000000000
χ50444-4-44-4-4444004-4-4000-44-44000000000000000000−2i22i20000−2i2−2i22i22i2000000000000000000000000000000000
χ51444-4-44-4-4444004-4-4000-44-440000000000000000002i2−2i200002i22i2−2i2−2i2000000000000000000000000000000000
χ52444-4-4-244-4-4-244-222-4-44-22-22-2-200-222000000004i−4i000000000000000000000000000000000−2i2i000000000
χ53444-4-4-244-4-4-244-222-4-44-22-22-2-200-22200000000−4i4i0000000000000000000000000000000002i−2i000000000
χ54444-4-4-244-4-4-2-4-4-22244-4-22-2222002-2-20000000000000000000000000000000000000000023−2300000000000
χ55444-4-4-244-4-4-2-4-4-22244-4-22-2222002-2-200000000000000000000000000000000000000000−232300000000000
χ56444-4-4-2-4-444-200-2220002-22-2000000000000000000−2i22i20023−23i2i2−i2−i2i6−i6i6−i600000000000000000000000000000
χ57444-4-4-2-4-444-200-2220002-22-2000000000000000000−2i22i200−2323i2i2−i2−i2−i6i6−i6i600000000000000000000000000000
χ58444-4-4-2-4-444-200-2220002-22-20000000000000000002i2−2i20023−23−i2−i2i2i2−i6i6−i6i600000000000000000000000000000
χ59444-4-4-2-4-444-200-2220002-22-20000000000000000002i2−2i200−2323−i2−i2i2i2i6−i6i6−i600000000000000000000000000000
χ6044-44-444-44-4400-44-40004-4-4400000000000000000000000000000000000000000000000000000000−2i22i2000
χ6144-44-444-44-4400-44-40004-4-44000000000000000000000000000000000000000000000000000000002i2−2i2000
χ6244-44-44-44-44444-44-4-44-4-444-44400-4-44000000000000000000000000000000000000000000000000000000
χ6344-44-4-2-44-44-2442-22-44-42-2-22-2-20022-200000000000000000−2i32i3−2i32i3000000000000000000000000000000000
χ6444-44-4-2-44-44-2442-22-44-42-2-22-2-20022-2000000000000000002i3−2i32i3−2i3000000000000000000000000000000000
χ6544-44-4-2-44-44-2-4-42-224-442-2-222200-2-2200000000000004i−4i000000−2i−2i2i2i00000000000000000000000000000
χ6644-44-4-2-44-44-2-4-42-224-442-2-222200-2-220000000000000−4i4i0000002i2i−2i−2i00000000000000000000000000000
χ6744-4-4444-4-44400-4-4400044-4-4004-40000000004000-40000000000000000000000000000000000000000000
χ6844-4-4444-4-44400-4-4400044-4-400-44000000000-400040000000000000000000000000000000000000000000
χ6944-4-44-24-4-44-20022-2000-2-222004-4000000000-200020000006−6−666−6−6600000000000000000000000000000
χ7044-4-44-24-4-44-20022-2000-2-222004-4000000000-20002000000−666−6−666−600000000000000000000000000000
χ7144-4-44-24-4-44-20022-2000-2-22200-440000000002000-20000006−6−66−666−600000000000000000000000000000
χ7244-4-44-24-4-44-20022-2000-2-22200-440000000002000-2000000−666−66−6−6600000000000000000000000000000
χ7344-4-44-2-444-4-24422-24-4-422-2-2-2-2002-2200004-4000000000000000000000000000000000-220000000000000
χ7444-4-44-2-444-4-24422-24-4-422-2-2-2-2002-220000-440000000000000000000000000000000002-20000000000000
χ7544-4-44-2-444-4-2-4-422-2-44422-2-22200-22-2004-4000000000000000000000000000000000-22000000000000000
χ7644-4-44-2-444-4-2-4-422-2-44422-2-22200-22-200-440000000000000000000000000000000002-2000000000000000
χ7788888-4-8-8-8-8-400-4-4-400044440000000000000000000000000000000000000000000000000000000000000
χ7888-88-8-48-88-8-4004-44000-444-40000000000000000000000000000000000000000000000000000000000000
χ798-800080000-8−4i24i20000000000−4i24i2000004-4000000000000000000000000000000−2i22i200000000000000000000
χ808-800080000-8−4i24i20000000000−4i24i200000-440000000000000000000000000000002i2−2i200000000000000000000
χ818-800080000-84i2−4i200000000004i2−4i2000004-40000000000000000000000000000002i2−2i200000000000000000000
χ828-800080000-84i2−4i200000000004i2−4i200000-44000000000000000000000000000000−2i22i200000000000000000000
χ8316-16000-800008−8i28i200000000004i2−4i200000000000000000000000000000000000000000000000000000000000
χ8416-16000-8000088i2−8i20000000000−4i24i200000000000000000000000000000000000000000000000000000000000

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