Finite Group Databasebeta

← Group #72270170

Character table — Group #72270170

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222222244444444444488888121216161616161616161616161616161616161616161616162424242424242424242424323232323232323232484848484848484896
order1222234444688666888121212122424242424242222444468121616161624244848484848484848444444488886681212121224244488161616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111-111-11-1-111-1-111-1-1-1-11
χ411111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ5111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-11-11-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-11111111
χ7111111111111111111111111111111-1-1-11-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-11111-1-11111-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-111-1-1-1-111-1-111-1-11
χ101111111111111111111111111-1-1111111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-11-111-1-1-1111111-1-111-1
χ111111111111111111111111111-1-111111-11-1111-1-1-111-1-1-1-11111-1-1-1-11-1-1111111-1-1-11-1-1111-1-1-1-1-1-1-1-1111
χ121111111111111111111111111-1-111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111111-1-1111111-1-1-1-11-1-11111-1-11111-1-1-1
χ131111111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111111-1-11111-111-1-1-1-1-1-111-1-111-1
χ141111111111111111111111111-1-1111-1-11-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-1111-111-1-1-111-1-1-1-111-1-11
χ151111111111111111111111111-1-1111-1-1-11-1111-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-11-1-1111-1-1111111-1-1-1
χ161111111111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-11-1-1111111-1-1-1-1111
χ1722222222222-2-2222-2-2-22222-2-222-2-2-2220000002-220000-2-2000000002220000-2-2-2-2000000000000000000
χ1822222222222-2-2222-2-2-22222-2-222-2-2-2-2-20000002-220000-2-200000000-2-2-200002222000000000000000000
χ1922222222222-2-2222-2-2-22222-2-2-2-2-2-2-222000000-22-2000022000000002-2-20000-2-222000000000000000000
χ2022222222222-2-2222-2-2-22222-2-2-2-2-2-2-2-2-2000000-22-200002200000000-222000022-2-2000000000000000000
χ2122222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-100222222-12-12222-1-1-1-1-1-1-1-1-1-100000000000-1-12-1-1-1-1-1-1000000000
χ2222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1002-22-222-12-1-2-2-2-2-1-11111111100000000000-11-2-11-1-111000000000
χ2322222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-100-22-22-2-2-12-1-2-2-2-2-1-111111111000000000001-121-111-1-1000000000
χ2422222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-100-2-2-2-2-2-2-12-12222-1-1-1-1-1-1-1-1-1-10000000000011-2111111000000000
χ2522222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-1002222-2-21-21-2-222111111-1-1-1-100000000000-1-1-2-1-11111000000000
χ2622222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-1002-22-2-2-21-2122-2-211-1-1-1-1111100000000000-112-1111-1-1000000000
χ2722222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-100-22-22221-2122-2-211-1-1-1-11111000000000001-1-21-1-1-111000000000
χ2822222-12222-122-1-1-1222-1-1-1-1-1-1-2-2-1-1-100-2-2-2-2221-21-2-222111111-1-1-1-10000000000011211-1-1-1-1000000000
χ29222-2-222-22-22222-2-2-22-22-22-22200-2-2200000000000002-200000022-2-20002i2i−2i−2i0000000000000002i−2i00000
χ30222-2-222-22-22222-2-2-22-22-22-22200-2-2200000000000002-200000022-2-2000−2i−2i2i2i000000000000000−2i2i00000
χ31222-2-222-22-22222-2-2-22-22-22-22200-2-220000000000000-22000000-2-2220002i2i−2i−2i000000000000000−2i2i00000
χ32222-2-222-22-22222-2-2-22-22-22-22200-2-220000000000000-22000000-2-222000−2i−2i2i2i0000000000000002i−2i00000
χ3322-22-22-222-22-2-2-22-222-2-2-222-2-2002-2200020-200000000000000000000002i−2i2i−2i00000200-200000000002i−2i0
χ3422-22-22-222-22-2-2-22-222-2-2-222-2-2002-2200020-20000000000000000000000−2i2i−2i2i00000200-20000000000−2i2i0
χ3522-22-22-222-22-2-2-22-222-2-2-222-2-2002-22000-20200000000000000000000002i−2i2i−2i00000-20020000000000−2i2i0
χ3622-22-22-222-22-2-2-22-222-2-2-222-2-2002-22000-2020000000000000000000000−2i2i−2i2i00000-200200000000002i−2i0
χ3722-2-222-2-222222-2-222-2-2-222-222002-2-20000002-20000000000000000002-20000002-2000002-2002-20000000
χ3822-2-222-2-222222-2-222-2-2-222-222002-2-20000002-2000000000000000000-22000000-22000002-200-220000000
χ3922-2-222-2-222222-2-222-2-2-222-222002-2-2000000-220000000000000000002-20000002-200000-2200-220000000
χ4022-2-222-2-222222-2-222-2-2-222-222002-2-2000000-22000000000000000000-22000000-2200000-22002-20000000
χ4122-2-222-2-2222-2-2-2-22-222-222-2-2-200-2220020-20000000000000000000002-22-2-2200-22200-200000000000000
χ4222-2-222-2-2222-2-2-2-22-222-222-2-2-200-2220020-2000000000000000000000-22-222-2002-2200-200000000000000
χ4322-2-222-2-2222-2-2-2-22-222-222-2-2-200-22200-2020000000000000000000002-2-222-200-22-200200000000000000
χ4422-2-222-2-2222-2-2-2-22-222-222-2-2-200-22200-202000000000000000000000-222-2-22002-2-200200000000000000
χ45444444-4-4-4-4400444000-4-4-4-400000004400000000000000000000000-40000000000000000000000000000
χ46444444-4-4-4-4400444000-4-4-4-40000000-4-40000000000000000000000040000000000000000000000000000
χ4744444-24444-2-4-4-2-2-2-4-4-4-2-2-2-2224422200000000-2-4-20000220000000000000000000000000000000000000
χ4844444-24444-2-4-4-2-2-2-4-4-4-2-2-2-222-4-4222000000002420000-2-20000000000000000000000000000000000000
χ49444-4-444-44-44-4-44-4-44-444-44-4-4-40044-4000000000000000000000000000000000000000000000000000000
χ50444-4-44-44-444004-4-4000-44-4400000000000000000000000000000000000000000000000000000000−2i22i2000
χ51444-4-44-44-444004-4-4000-44-44000000000000000000000000000000000000000000000000000000002i2−2i2000
χ52444-4-4-24-44-4-244-222-44-4-22-22-2-20022-200000000000004-4000000-2-22200000000000000000000000000000
χ53444-4-4-24-44-4-244-222-44-4-22-22-2-20022-20000000000000-4400000022-2-200000000000000000000000000000
χ54444-4-4-24-44-4-2-4-4-2224-44-22-222200-2-22000000000000000002323−23−23000000000000000000000000000000000
χ55444-4-4-24-44-4-2-4-4-2224-44-22-222200-2-2200000000000000000−23−232323000000000000000000000000000000000
χ5644-44-444-4-44400-44-400044-4-4000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000000000000000
χ5744-44-444-4-44400-44-400044-4-40000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000000000000000
χ5844-44-44-444-4444-44-4-4-44-4-4444400-44-4000000000000000000000000000000000000000000000000000000
χ5944-44-4-24-4-44-2002-22000-2-222000000000000000000−2i22i20023−23i2−i2i2−i2i6−i6i6−i600000000000000000000000000000
χ6044-44-4-24-4-44-2002-22000-2-222000000000000000000−2i22i200−2323i2−i2i2−i2−i6i6−i6i600000000000000000000000000000
χ6144-44-4-24-4-44-2002-22000-2-2220000000000000000002i2−2i20023−23−i2i2−i2i2−i6i6−i6i600000000000000000000000000000
χ6244-44-4-24-4-44-2002-22000-2-2220000000000000000002i2−2i200−2323−i2i2−i2i2i6−i6i6−i600000000000000000000000000000
χ6344-44-4-2-444-4-2442-22-4-4422-2-2-2-2002-220000000000000000000000000000000000000000000−2i32i3000000000
χ6444-44-4-2-444-4-2442-22-4-4422-2-2-2-2002-2200000000000000000000000000000000000000000002i3−2i3000000000
χ6544-44-4-2-444-4-2-4-42-2244-422-2-22200-22-200040-40000000000000000000000000000000-20020000000000000
χ6644-44-4-2-444-4-2-4-42-2244-422-2-22200-22-2000-4040000000000000000000000000000000200-20000000000000
χ6744-4-44444-4-4400-4-440004-4-44004-40000000000040-40000000000000000000000000000000000000000000
χ6844-4-44444-4-4400-4-440004-4-4400-4400000000000-4040000000000000000000000000000000000000000000
χ6944-4-44-244-4-4-20022-2000-222-2004-400000000000-202000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000000
χ7044-4-44-244-4-4-20022-2000-222-2004-400000000000-202000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000000
χ7144-4-44-244-4-4-20022-2000-222-200-440000000000020-2000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000000
χ7244-4-44-244-4-4-20022-2000-222-200-440000000000020-2000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000000
χ7344-4-44-2-4-444-24422-24-4-42-2-22-2-200-2220000004-4000000000000000000000000000000000-2200000000000
χ7444-4-44-2-4-444-24422-24-4-42-2-22-2-200-222000000-440000000000000000000000000000000002-200000000000
χ7544-4-44-2-4-444-2-4-422-2-4442-2-2222002-2-20040-40000000000000000000000000000000-200200000000000000
χ7644-4-44-2-4-444-2-4-422-2-4442-2-2222002-2-200-4040000000000000000000000000000000200-200000000000000
χ7788888-4-8-8-8-8-400-4-4-400044440000000000000000000000000000000000000000000000000000000000000
χ78888-8-8-4-88-88-400-4440004-44-40000000000000000000000000000000000000000000000000000000000000
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).